diff --git "a/data/dm_maths/full_data_2/10387_11255.jsonl" "b/data/dm_maths/full_data_2/10387_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10387_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(q) = -20*q**2 + 14*q**2 + q + 21 + 5*q**2. Let i be x(-4). Is i < 2\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2117 - -2122. What is the second biggest value in -4, z, -0.263?\nAnswer: -0.263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 - -70. Let w(h) = -8*h**3 + 11*h**2 - 10*h - 6. Let z(r) = -7*r**3 + 10*r**2 - 9*r - 5. Let t(q) = 6*w(q) - 7*z(q). Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 2*v + 2846. Determine i(37).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-16)\/(-12) - 1). Let q(n) = -5*n**2 + n - 1. Let y(v) = -4*v**2 + 2*v - 1. Let m(g) = p*q(g) - 4*y(g). Suppose r - 5 = -2. Determine m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2954.31 take away -1.877978?\nAnswer: -2952.432022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -6) + 5 + -69. Let j = 115 + m. What is the remainder when j is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qzjgzjggqjgzzq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, -415, 42, -4, 0 in decreasing order.\nAnswer: 42, 16, 5, 0, -4, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from ojjjujqjojjjojouuojj?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 + 12 = 0. Let l(q) = q**2 + q - 3. Is l(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18186 <= -163675\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7118*f**4 + 144*f**3 + 792*f**2 + 1 - 144*f**3 - 1485*f**2 wrt f?\nAnswer: 170832*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10614.992847 - -10615. Round z to 4 dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 16463*g**2 - 67765823*g - 67749361 = 0. What is g?\nAnswer: -8231, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 2, y: 1, i: 14}?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 133*f + 484. Calculate k(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 9, h: 3}. What is prob of picking 1 z and 1 h?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 98 = -10*z. Is (-7011)\/(-2) + z\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1125, 3\/136?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/10 + (9180\/(-24))\/(-9). Let s be 0\/(2 - 0) + 6. Let f be y\/s + 9\/(-27). Let p(c) = c**3 - 7*c**2. Give p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2. Let l(k) be the second derivative of 0*k**2 + 8*k + 0*k**3 + 0 - 3\/2*k**4. Give a(l(t)).\nAnswer: -324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10402 - -15322. Let l be (-5493)\/f - 2\/(-5). Let t = l + 14\/41. What is the third smallest value in t, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-172)\/(-2) - (-113 - -109). Let n = 7 + -9. List the prime factors of (6\/9 + -1)\/(n\/u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3*c + 54. Calculate the remainder when q(0) is divided by (-1000)\/(-36) - (-4)\/18.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3071 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 + 5. Let d be (-3)\/(5\/(20\/(-6))). Let k(x) = 2*x - d*x + 5*x**2 + 5 - 9. Let a(t) = -6*j(t) - 7*k(t). Differentiate a(v) wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*v**4 - 2*i*v + 44*i + 7*v**5 + v**3 wrt v.\nAnswer: -12*i*v**2 + 140*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185232 and 2805493?\nAnswer: 3859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, 588, 3785, 8940, 16071?\nAnswer: 25196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*j**3 + 3*j**2 + 352*j - 318342 wrt j.\nAnswer: 84*j**2 + 6*j + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 12. Let a be (7\/h)\/(1\/564). What is a rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2170 - -2168. Let w(n) = n**2 - 3*n - 3. Let z(m) = -m**2 + m + 1. What is j*w(v) - 4*z(v)?\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381 + 1100. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 530 and 19822.\nAnswer: 99110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 2*f**4 - f**4)*(-4 + 0 + f + 1).\nAnswer: -2*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 f when three letters picked without replacement from {m: 1, i: 1, f: 1, y: 2, e: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/3 + 4030*s**2 + 1774075*s\/3 = 0.\nAnswer: -145, 0, 12235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**5\/5 - 3*c**4\/4 - 99*c**2\/2 - 3836*c + 1341. Find the first derivative of f(j) wrt j.\nAnswer: 8*j**3 - 9*j**2 - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12605822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/13 (b) 14337 (c) 243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t = -v - 59*t + 79, 3*v - 265 = -t. Solve -90*y - 12 = -v*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 50 = -5*r, 3*q + r - 49 = -6. Let z = q - 9. Suppose z*c = 2*c + 64. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7264775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 127 - 2*g**2 - 55844*g + 3*g**2 + 55834*g. Calculate q(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2678 + -1047. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1346\/81 or -18?\nAnswer: -1346\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from nnppnvpnpvnnvvn?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -1, -3\/8, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600056 (base 9) in base 10?\nAnswer: 1948668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10230\/775 + 14*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 32*o**2\/7 + 20586*o\/7 + 6430\/7 = 0.\nAnswer: -643, -5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22972142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2. Let l be 4 + (-7)\/(21\/12). Let p = 2198\/9 - 244. Which is the closest to -2\/7? (a) n (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-6)\/(-8))\/(-3). Let u = 0.21 + -2.81. Let n = u + 0.6. What is the second biggest value in q, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/5))\/(j*j\/((j*j\/j**(-5)*j)\/j))*((j\/j**0)\/j)**26 assuming j is positive.\nAnswer: j**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**(8\/3)*(w**(9\/7))**(3\/20) assuming w is positive.\nAnswer: w**(-2213\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 0.26, -33273?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 - -187. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62.44 + -59. Let k = -3 + v. Let q = k - 0.27. Round q to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*j + 8, 0*j + 5*z - 10 = -j. Solve 0 = -2*x + 5*y + 17, 5*y = -4*x - j*x - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z - 7*z - 4*z + 9 - 65*z**2 + 100 + 63*z**2 wrt z.\nAnswer: -4*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) -20 (d) 0.5 (e) 11\/114 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 37*k**2 - 2*k + 111. Let l be a(37). What is the greatest common factor of 7067 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5724.086 + 5743. Let j = h - 19. Let k = j - -0.0859975. What is k rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1716 + 11975\/7. Suppose -2*v = v + 3*j + 3966, 0 = 5*j - 5. Let p = v + 11851\/9. What is the common denominator of b and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 38 = -22. Suppose -4*g = -g + 3. Is g\/(-1*(-3)\/r) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1099 - 875. What is the lowest common multiple of (y - -14)\/((-4)\/(-2)) and 153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/132800328 and 61\/2929419.\nAnswer: 398400984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, -80, -1 in decreasing order.\nAnswer: 2, 1, -1, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10640 and 89\/532672?\nAnswer: 50603840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52179 - -8.\nAnswer: -52171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -4 (c) 0.4 (d) 3 (e) 0.081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34641, 34214, 33787, 33360, 32933?\n\"Answer: -427*o + 35068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-9)\/27*1). Suppose -8 = v - 3*m, 0 = 2*v + 3*v + h*m + 22. Sort v, -59, -3, 4 in increasing order.\nAnswer: -59, v, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 2247 + 1297 = 46*v - 4464 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + -1 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/8 + 5\/(-8))*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 59*o**5\/20 - 5*o**4\/24 - o**3\/6 - 14*o**2. What are the prime factors of i(-1)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/7 - 204*m**4\/7 - 152*m**3 - 652*m**2\/7 + 1062*m\/7 + 856\/7 = 0. What is m?\nAnswer: -4, -1, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let b be ((-136)\/(-20))\/x + 4\/(-10). Solve -5*r + 17 = -b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**4 - 141 + 131\/5*c**5 - c - 19\/2*c**2 + 0*c**3. Find the second derivative of t(a) wrt a.\nAnswer: 1572*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 9\/11 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3420324, 3420325, 3420330, 3420339, 3420352?\nAnswer: 3420369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 17 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -13. Let v(c) = -c**2 + 10*c. Let r be v(n). Solve d = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2435, 3, -5 in decreasing order.\nAnswer: 3, -5, -2435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(0 - -1) + 2524. Let c = -239497\/95 + b. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 367027336521?\nAnswer: 367027336520.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -7*w**3\/3 + 3*w**2\/2 + 3007*w. Let i(c) = -1343*c + 289. Give 6*i(a) - 578*s(a).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**5 + 65*m**4 - 135*m**3 + 85*m**2 + 25*m - 30 = 0 for m.\nAnswer: -1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*x + 192, -5*x + 4*p = 178 - 704. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t + 16. Let y be j(-3). Let s be 8\/y - (-11 - (-3 - 2)). Suppose 2*o = -0*o - 4, 0 = -f + s*o - 31. Is f less than -71\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 0.11858?\nAnswer: -0.09858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 3. Let h be q(0). Suppose h*d + 32 = 4*d + 3*r, 4*r - 96 = -4*d. Let k(t) = 3*t. Calculate the smallest common multiple of k(6) and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 449*q + 58*q + 26*q + 317*q - 111*q to the form t + d*q and give d.\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**10)**(-4\/35)*((b*(b*b**(1\/5))\/b*b)\/b)\/(b**19\/b) assuming b is positive.\nAnswer: b**(-552\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 2. Give n(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2eb - 4?\nAnswer: -2ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -152 (b) -2 (c) 2 (d) -1 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s**2. Let y(x) = -947*x**2 + 294*x + 2. Calculate y(w(i)).\nAnswer: -160043*i**4 - 3822*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 36 = t. Suppose 0 = -12*n + 8*n + t. Suppose 28 = 4*d + 4*o, 2*o - 5 = 1. Solve 2*q - 3 = -d*f + 3*q, -n*f = 5*q - 31 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-2 + (2 + sqrt(637))**2*-6.\nAnswer: -3846 - 176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37000 - n**2 + 36904 + 0*n**2 to the form h*n + m + z*n**2 and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(12 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = w - 4, -4*w = 4*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 4. Let j be q(-6). Let p = 29 - 33. Let f = 6 - 6.06. What is the second smallest value in p, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 + b**2 + b - 2. Let f be g(1). Suppose 442 = -f*v + 2562. What is the remainder when 172 is divided by (2\/6)\/(-1 + v\/525)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*m - 2. Suppose 8*c - m*c - 262 = 0. Let o = c - -23. What is o rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -535*q**2 - 545*q - 10.\nAnswer: -5*(q + 1)*(107*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1144 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5181642 is divided by 56941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 70*g - 22. Let x be o(12). Suppose 2*v - 1020 - x = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (-2)\/((30\/(-175))\/3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**3 - 3939*b**2 - 108084*b - 611040 = 0.\nAnswer: -19, -8, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 24. Let q(f) = -6*f - 28. Let n(v) = -7*g(v) - 6*q(v). Let c(h) = -8682*h + 2. Determine c(n(m)).\nAnswer: -8682*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**1)\/t)\/(t\/t**(2\/13))*(t**(1\/4))**(2\/13))**50)**(-1\/28) assuming t is positive.\nAnswer: t**(-125\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-1 - -1*2). Let l(d) be the second derivative of -4*d - 5\/6*d**3 + 1\/12*d**4 + 2 - 3*d**2. Calculate l(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.9 and 0.1.\nAnswer: 1.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 18 - (-10 - -3)) + (9 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b - 30. Determine i(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*x - 146*x = 154 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 6:13 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344 + 350. What is the remainder when 34 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/13 - 2\/13*h + 2\/13*h**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650362 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + 35\/(-15). Let u be (60\/(-16))\/(-1*s\/(-48)). What is the remainder when (-5)\/u*-6*(2 + 20) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(22) - sqrt(66)\/(sqrt(3)*-1)) + sqrt(22) + (sqrt(88) - sqrt(88)*-1))\/((sqrt(36)\/(sqrt(24) - sqrt(6)))\/sqrt(3)).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 6 - (4\/2 - 7). Suppose 99 = f*g + 111. Sort g, 118, 3.\nAnswer: g, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11002 + 41?\nAnswer: 11043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 14*w - 2*w**2 - 11 in the form r*w**2 + u + d*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 13) to base 3\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141124 is divided by 35278?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/39 and -35\/143.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*0.023.\nAnswer: -0.0529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i - 12. Let c(y) = 6*y + 15. Let g(n) = -4*c(n) - 5*o(n). Let q(t) = -420*t. Determine q(g(j)).\nAnswer: -420*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.24 and 0.07.\nAnswer: 0.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 5, m: 2, j: 1}. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 27 - 5 = 0. Suppose -m*d = 793 + 95. Does 14 divide (d\/(-1) - 1) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925289?\nAnswer: 47, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(sqrt(18) + (sqrt(18) - (sqrt(54) - sqrt(486))\/sqrt(3))))\/((sqrt(150) - (1*sqrt(150) + sqrt(150)))*5 - sqrt(150)) + 3 + -5)**2.\nAnswer: 128*sqrt(3)\/15 + 1324\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -385, -19 in decreasing order.\nAnswer: 2, -19, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 + 2381770*z**2 - 119 + 2026923*z**2.\nAnswer: 4408693*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 44, 70, 112, 176, 268, 394?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -55\/4*o**4 + 5\/6*o**6 + 133 - 80*o + 2*o**5 + 70*o**2 - 20\/3*o**3. Determine p, given that i(p) = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 183, 372, 565, 762?\n\"Answer: 2*p**2 + 183*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*n + 26, 4*n = -0*x + x + 28. Let i = x - -11. Suppose 72 = i*t + t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -38, 12 in increasing order.\nAnswer: -38, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 0, -1\/6, -1.73?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Let p = 70 - 70.23. Which is the smallest value? (a) 0.3 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004528006838 to six dps.\nAnswer: 0.004528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 4*q + 28 = 0, -3*q + 43 = 5*p. Suppose 46 = d - p. What is the units digit of d\/7 + 8\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 2*l**3 + 3*l**3)*(5*l - 5 + 5).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmouzzommdooo. What is prob of picking 1 o and 1 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.4434ml in litres?\nAnswer: 0.2634434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -4. Let u = -2 - q. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 396 and -1.6.\nAnswer: -633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15))\/((-12)\/327) + 20\/240.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4179, 8359, 12533, 16701?\n\"Answer: -3*d**2 + 4189*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291144 divided by -56.\nAnswer: 5199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 267. Let t be n(-17). Let u = t + -240. Let h = 21 - 10. Calculate the highest common divisor of h and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.67+-797825556\nAnswer: -797825558.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 71 = -4*b, -3*m + b - 30 + 91 = 0. Suppose 0*d - 3*d = -204. Suppose -d = -m*k + 20*k. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 32, 44, 52, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -14. Suppose 0 = 12*o - 16*o + 44. Is m at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - 3 + 3 + (-f - 2*f + f)*(-5 + 5 - 4*f))*(f**2 - 2 - 117 + 15) to z*f**2 + h*f**4 + n*f**3 + o + a*f and give z.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 - 0.03. Let b = -49 - -52. Let p be b + 8 + (-2 - 5). What is the biggest value in 0, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 6. Let g(y) = -y + 1. Let f(i) = 11*g(i) - 2*z(i). What is the remainder when 14 is divided by f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*-2*32\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*y - 24 + 169*y - 85*y to f*y + b and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33789, 68923, 104065, 139215, 174373?\nAnswer: 209539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 0)*(9 - 942*f + 1814*f - 962*f).\nAnswer: 900*f - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Let i be -1 + o\/(-4) - -1. Let t = -744 - -6698\/9. Which is the second biggest value? (a) t (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - f**3 + f**3 + (f**4 + f**4 + f**4)*(0*f - 4*f + 6*f) - 4*f**5 + 4*f**5 + 2*f**3 - 2*f**5.\nAnswer: 3*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((2024\/(-64))\/23).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/32*(-25)\/(-325)*39\/(-9)*-226?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169444*f**3*m**3 - 87*f**3*m + 3*f**3 + 130*f**2*m**3 - 2*f**2*m + 1341*m - 3 wrt m.\nAnswer: -1016664*f**3*m + 780*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 plus -0.88247?\nAnswer: -0.97247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -4.9. Let t = 2\/105 - -4\/35. Let x be (-2)\/(-9) + ((-5)\/(-63))\/(-1). Which is the third smallest value? (a) k (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5419574.\nAnswer: 2, 2709787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*v - 1 - 107*v - 58*v)*(2*v + 2*v - 2*v)*(v + v + 0*v) in the form k*v + t*v**2 + n*v**3 + g and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 6*s**2 + 4. Let i be m(-3). Let c = 24 + i. What is the units digit of (6 - 5) + (50 - c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Let o = -33\/7 + 85\/21. Which is the nearest to 0.4? (a) i (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -26 + 1\/2*s**2 + 12*s = 0?\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y - 55. Let s be q(-6). Solve s - 19 = -2*n - 2*h, n = -2*h + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -15 - 0. Calculate the least common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (8 + 8) - -14 - -27 - 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5 + 0*d - 16*d**2 + d + 0*d. Let b = 37 + -32. Let h be t(b). What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -6. What is the common denominator of (-14)\/21 - i\/(-6) and -93\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*(-94)\/(76140\/(-29619)) - (-6)\/45.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 3*k + 8. Let p be u(-3). Let j = 50 + p. Suppose j*n - 19*n = 42. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*t = -252, -5*d = 3*t + 391 - 0. Let b be (d + -1)*2\/(-3). Suppose 21 = 5*o - b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q + r = -3, 0 = -3*q - 2*r - 7. Suppose 10*u = 8*u + 8. Let n = u - q. Solve f + 0 = -n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 8*u + 13. Let t(f) = -3*f - 4. Calculate 3*n(x) + 10*t(x).\nAnswer: -3*x**2 - 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2227 + 4266. What are the prime factors of a?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 - 3*b + 2. Let h(w) be the third derivative of w**2 + 1\/12*w**5 + 0 - 1\/2*w**3 + 1\/6*w**4 + 2*w. Give 3*g(v) + 2*h(v).\nAnswer: -5*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 5*j + 132 = 0. Let l = 51 + j. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*u*w**2 - 9*u*w*y**3 - u*y**2 - w**2*y**3 - 2*w*y**3 wrt w.\nAnswer: 152*u - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 21. Solve 0 = -5*l - t + u, -3*l + 37 = 4*t + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 25813160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6841 (base 9) to base 16\nAnswer: 13c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/1)\/(-1) - -66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19465 - 19381. Calculate the remainder when 497 is divided by o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a factor of 270976168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.77 + -0.23. Let d = a + 5. Let c = 0 + d. What is the smallest value in 1, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 162*t + 33048. Calculate u(118).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 813842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-5 - ((-7 - 1) + 13))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1405 - 2854. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a**(9\/5))\/((a**(16\/3)*a)\/(a**(2\/39)*a)) assuming a is positive.\nAnswer: a**(-5719\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 59*n - 50*n. Let g be (40\/n + -9)\/(-1). Factor 8\/15*f**2 + 0 + 0*f - 2\/5*f**g + 0*f**3 + 2\/15*f**5.\nAnswer: 2*f**2*(f - 2)**2*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 27*t**3 - 106*t**2 - 10*t + 14. Give m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w, 4*w - 3*w = -o - 1. Let y be (-3)\/7 + 1860\/28. Suppose -b = 5*g - y, -g - o*b = -0*b - 15. Solve -3 = -3*t + 2*j - 1, 3*t = 5*j - g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -17. Is ((-6)\/(-9))\/((-3)\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**4 - 10*r**3 + 19*r**2 + 6*r - 24. Let q(j) = -3*j**4 - 11*j**3 + 21*j**2 + 7*j - 26. Let z(g) = -4*p(g) + 3*q(g). Solve z(w) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -805\nAnswer: -9660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*a - 2*a = -116, -2*a = 10. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 423 - -278. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*k + p, 4*k - 204 = -3*p - 45. Suppose f - k - 41 = 0. What is f rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18918 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 9*h. Let q = h + -13. Let v = -42 - q. Which is smaller: -28 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x + 1. Let f(p) = 16*p**3 + 12*p - 10. Suppose 21 = 4*u + 69. Let s(c) = u*b(c) - f(c). Differentiate s(r) with respect to r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y. Let t be r(0). Suppose t = 4*o - 16 - 16. Let k = 9 + 13. Calculate the remainder when k is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 33. Suppose -5*o = -15, 0 = -g*s + 4*s - 4*o - 18. Let a(m) = -m**2 - 8*m + 2. Calculate a(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37090400 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000735056232 rounded to 6 decimal places?\nAnswer: 0.000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 24*z = 20*z + 50, -31*z + 17*z + 325 = -13*q - 19*z for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(165)\/(sqrt(27)\/(sqrt(36)\/sqrt(4))))\/(sqrt(240)\/sqrt(192)) + 0.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:03 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 10. Let q be (s\/2)\/(5\/(-40)). Let j = q - 25. Which is smaller: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d - 20 = -2*m, -3*d - 5*m + 40 = 0. Suppose d*z - 20 = 0, -2*f + 4*z - 7*z + 22 = 0. Let o be (-4)\/f - 2\/(-5). Is o equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 2*t**2 + 8*t**2 - 3*t. Let n(f) = 2*f. Determine i(n(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/42171526 and -89\/39576.\nAnswer: 506058312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 5*n**2 - 12*n - 7. Let j be t(-6). Suppose 5*i + j = b, 3*i + 9 + 3 = 0. Solve -4*s - 16 = 0, -3*g + 4*g - s = b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 = 4*b + 5*w, -w = 3*b - 11. Suppose -5*f + 2*i + 413 = -1178, -b*i - 329 = -f. What are the prime factors of f?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and -972819.\nAnswer: -63233235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**2 + 21*i - 6. Let h be b(3). Let r(g) be the first derivative of 8 + 6*g**2 + 3\/4*g**4 + 0*g + 4*g**h. Factor r(f).\nAnswer: 3*f*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -339 + 337 - 3*u**3 - 5*u - u**2 + 4*u + 2*u**2 as g*u**2 + z*u + m + t*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 606*s**2. Let y(u) = 11309*u. What is t(y(r))?\nAnswer: 77503449486*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1730757, -3461513, -5192273, -6923037, -8653805, -10384577?\nAnswer: -12115353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 5*u**2 - 3*u**2)*(2 + 1 - 4) + 0*u**2 + 0*u**2 - 2*u**2 + u + 1410 + 6*u**2 + 1413 - 2820.\nAnswer: 5*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 657, 876, 965, 882, 585?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-15)\/6)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31322 (base 5) to base 9.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4 (c) -533911 (d) 0 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -103?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2308 + 5260. Is l a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -771*b - 5397. Let a be q(-7). Solve a = 843*t - 830*t - 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128892, 128934, 128978, 129024, 129072?\nAnswer: 129122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*s - 32 = 33, s - 5 = 0. Suppose 5*g + 25 = 0, -4*x + 5*g + 83 + 22 = 0. What is the smallest common multiple of c and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91149*b**2*w**2 + 29*b**2*w - 2*b**2 + 3*b*w**3 + 6535 wrt w.\nAnswer: 182298*b**2 + 18*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115023677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -2 + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = -2*j, -4*j + 940*z - 941*z = -21. Solve -3*m + 9 = -b - 9, -2*b + 14 = j*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - 6) - (15 + 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 + 2*w**2 + 3*w**2)*(-477*w + 372*w**2 - 749*w**2 + 375*w**2).\nAnswer: 4*w**4 + 954*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53579 + 94739. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226673 is divided by 695.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 51 (b) -3 (c) -86\/97 (d) 5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171593 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: What is (-44 + (5 - 1) - (6 + 2)) + 0 + 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 - 2042*j + 8207. Determine u(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 201480865*t**2 + 402961745*t + 201480875.\nAnswer: -5*(t - 40296175)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - 1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(2\/6) + (-3 - -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1421 or -5629?\nAnswer: -1421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 9. Let k be p(-2). Suppose -k*c = 2*v - 664, 4*v - 1340 = -3*c - c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose g*s - 12 = -0*s. Suppose 4*o = -s*y + 245, 3*o = -0*o - y + 180. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = a + 58, -3*a = 5*j - 0*a + 69. What is the units digit of ((-51)\/j)\/((-5)\/(-25))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2669982, -2669945, -2669910, -2669877, -2669846, -2669817, -2669790?\nAnswer: -2669765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) - ((sqrt(416)*-2 - sqrt(416))*2 + sqrt(416) - sqrt(416)))\/sqrt(8).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (517590\/(-3915) + 132)*-145\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.216, -1\/47, -0.65, -0.4, 3, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55816 - 72088?\nAnswer: -16272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v = -35*v - 180 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, t: 2, h: 1, g: 1, e: 1}. What is prob of sequence et?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/325?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = k + 8 - 15, -h + 3*k = 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3712 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*q)*(2 + 15 - 2)*(-12*q**3 - 8*q**3 - 32*q**3) to the form n*q + s*q**2 + a*q**3 + t + l*q**4 and give l.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) -8\/31 (c) -2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - d**2 - d)*(-4*d + 3*d + 3*d) - 10627599*d**2 - 2463*d**3 + 10627599*d**2 in the form f*d**3 + p*d + v + t*d**2 and give f.\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 550*m - 41946 + 41954 + m**2)*(-6*m + 4*m + 0*m).\nAnswer: 2*m**3 - 1100*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526465 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*i - 8 = 0, 3*z - 3*i = i - 28. Let l(o) = o - 2. Let m be l(-5). Is m less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9110 + 56720 = 2270*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*13\/(-195)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -7*p - 107. Let i be p\/(-12) + (-1)\/3. Sort 3, i, 0 in decreasing order.\nAnswer: 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/60 - 3*n**2. Let j(y) = 2*y + 2. Let u(s) = s**2 - 5*s - 5. Let h(l) = 5*j(l) + 2*u(l). Give h(i(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103719695 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 - 1539 = -24*q. Which is bigger: q or -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/((-588)\/240) + (12 - 27))\/(295\/2)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*c = -35, 0 = 6*y - 10*y + 5*c + 45. Let a(k) be the third derivative of 1\/3*k**4 - 4\/3*k**3 - 3*k**2 - 1\/30*k**y + 0*k + 0. Factor a(l).\nAnswer: -2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 7*a - 6*a**2 - 2 + 3. Let s(u) = u**2 + u. Let c(m) = -14*s(m) - 2*x(m). What is k in c(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 4\/(12\/9). Let d be ((-12)\/21)\/(k\/(-28)). Sort -5, d, -1.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 20300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m - 6. Let k = -1331 + 1345. Calculate the remainder when o(5) is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242311*s**4 + 357*s**2 + s - 23?\nAnswer: 5815464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028287 less than -186159?\nAnswer: -186158.971713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0 - 11\/15*j**3 + 7\/15*j**4 - 3\/25*j**5 + 3\/5*j**2 - 1\/75*j**6 - 22*j + 1\/105*j**7. Let d(q) = 0. Calculate q.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 989*(-24)\/(-26316) - (-8)\/(-34)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9490 and 4411.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 3055?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 452, 606, 760, 914, 1068?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = 32*r + 17*r - 135 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8427 + -8429. Which is the third biggest value? (a) -5 (b) n (c) 1\/4 (d) 165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -930373\/9 + 103565. Let n = 190 - t. Which is the nearest to 1\/3? (a) -1 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - 4 - (5 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 + 2*z - 4. Let u(c) = -6*c**2 - 49*c + 24. Let f(m) = 2*m**2 + 22*m - 11. Let r(o) = -9*f(o) - 4*u(o). Calculate 5*j(l) + 6*r(l).\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + 6. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -6, 3*i = -5*s + s + 1081. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/40 - (-833781)\/65 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 2, 1548, 886?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -285252 - 28.524437\nAnswer: -285280.524437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1963, -3922, -5881, -7840?\n\"Answer: -1959*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.8 + -14. Let t = w + -0.3. Let m = 0.41 - 0.01. What is the biggest value in m, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y - 6*y + 13 + 2*y - y**2 - 6*y. Calculate the remainder when 23 is divided by g(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 + 3*i + 2. Let y be n(3). Let f be (-12)\/(-8)*y\/(-3). Let h be ((-2)\/6)\/(6\/(-4)). Which is the closest to f? (a) -3 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1261168.31 or -0.1?\nAnswer: -1261168.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 323246003?\nAnswer: -323246004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3*i + 3\/2*i**3 + 3\/2*i**2 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 93. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138.3 + -3096. Round f to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**3 - 20*o - 8. Let n(b) = 8*b**3 - 13*b - 5. Let v(y) = 5*h(y) - 8*n(y). Find the second derivative of v(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 65. Let z = -4 - -4. Let b be y(z). Suppose 4*l = u - b, 52 = 3*u + 2*l - 213. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 at most as big as -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-3))\/(1 - 2). Let n = 18 + -16. Solve -8 = -2*g - n*u + 4*u, -z*u - 20 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 5 + 40 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/((-24)\/(-4)))\/(-4). Find t such that -1\/3*t**3 + 0*t + u - 1\/3*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 3*b - 2. Let f be l(-5). Let h be (-2 - -1)*f\/(-1). Let n = h + -4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*g - g + 129, 5*g = 2*q + 135. Let v = q + 103. Suppose 3*x - 2*h - 25 = 0, -8 = -4*h + 2*h. Calculate the remainder when v is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 50. Let p(v) = -v**2 - 15*v + 4. Let z be p(-15). What is the smallest common multiple of (-12 - z)*(-9)\/4 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -47306.\nAnswer: 1\/47306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156733.\nAnswer: 156733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*u + 0 + 0 - u + 0 + (0*u + 4*u - 2*u)*(1 + 1 + 0))*(-2 + 5 - 1)*(0 + 2 + 0) + (2 - 5*u - 2)*(-4 + 4 - 1) to n + l*u and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*3 - 14\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.8 + -28.2. Let f = m - -35.1. Let v = f - 2.1. Which is the smallest value? (a) 3 (b) 1\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -451.7003681 - -451.7. Round f to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, b: 1, p: 2, j: 2, h: 1, t: 5}. What is prob of picking 1 p, 1 h, and 1 j?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 5*y + 0*y + (1 - 1 + 1)*(y + 2*y - 2*y) - 12686*y + 6437*y - 2 + 6348*y in the form z + j*y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45a00 (base 13) to base 4\nAnswer: -132333013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:24 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 170 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 55, -4, 27, 2 in decreasing order.\nAnswer: 55, 27, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 80, 4, 5 in descending order.\nAnswer: 80, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 + -23 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 - 395*q**3 + 75 - 3*q**2 - 65 - 73*q wrt q?\nAnswer: -2370*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bibebbbbibeibbb.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*l + 4*f, -33*l + 37*l + 4*f - 44 = 0. Solve 7 = -d - a + l, 2*a = d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7001986 divided by 89\nAnswer: -78674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538415.\nAnswer: 5, 257, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 1. Let y(q) = 17 + 19 + 2*q - 32 + q. Suppose -3*s + 16 = -t, -3*s = 2*t - 6 - 7. Let p be y(t). What is f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14276748?\nAnswer: 2, 3, 151, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 51*n**2 + 17. Let c be d(1). Calculate the greatest common factor of 68 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19073 or 3032498\/159?\nAnswer: 3032498\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -447\/2*s**3 - 11025*s**2 + 187500 - 3\/2*s**4 - 176250*s = 0?\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-484))\/((-10)\/(-11))*-40?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.8 + 83.5. Let f = -252 + 493\/2. Which is the closest to f? (a) 1\/3 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12040 divided by -43?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 16. Let y be ((-9)\/q)\/((50\/8)\/5). Let r be 1\/2*(2 - 1). What is the closest to r in y, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17913 is divided by 5970.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -93418.\nAnswer: 5\/46709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.5 <= -2807280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 864, 2811, 8082, 18333, 35220?\n\"Answer: 276*g**3 + 6*g**2 - 3*g + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 3, g: 1, h: 4, p: 1}. Give prob of sequence gx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3916, 6272, 8800, 11506, 14396, 17476, 20752, 24230?\n\"Answer: g**3 + 80*g**2 + 2109*g + 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-5 + 3)\/1. Solve h*t + 12 - 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11137 divided by 19\nAnswer: 11137\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2068.5458 - 2070.9. Let p = -2.8 + 0.47. Let v = n - p. What is v rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007351877 to seven dps.\nAnswer: -0.0000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 38425968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8413 + 8405.84. Which is the nearest to 0? (a) h (b) 1 (c) 5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187402203?\nAnswer: 3, 17, 1224851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 260028427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let f = -557.01 - -552. Let q = 0.01 + f. What is the third smallest value in q, w, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times -67.071?\nAnswer: 6103.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10741957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -266?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 444\/18 + 5\/15. Calculate the highest common factor of m and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 5 - -6) + -3 + -1 + -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10*c - 145 = 0. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -205, 13, 613, 1787, 3727, 6625, 10673?\n\"Answer: 32*d**3 - d**2 - 3*d - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258037?\nAnswer: 11, 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*t - 95 = 0, -21 = 2*u + 4*t - 83. Calculate the greatest common divisor of 15 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*t + 4*t**3 + 182 + 64*t**2 - 294 + 216.\nAnswer: 4*(t + 1)*(t + 2)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w. Let s be (-26)\/(-2) - 1 - 1. Let c(j) = 2*j**2. Let r(b) = 404*b - 5*b**2 - 201*b - 203*b. Let y(p) = s*c(p) + 4*r(p). Determine l(y(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-8)*f)\/f)**(4\/13)\/(f**(-1\/3))**(-1\/38) assuming f is positive.\nAnswer: f**(-2749\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183621870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -25. Let s be (p\/(-36))\/(6\/16). Let w = -5.975 - -0.975. What is the closest to s in 2\/9, 0, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0*k**5 + k**5 + k**5).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95542, 94902, 94260, 93616, 92970, 92322?\nAnswer: 91672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -8*w - 191128. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21902 - 21899. Suppose l + l = 6. Solve -5*w + 45 = -4*y, -g = -l*w + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6417573, 6417478, 6417319, 6417096, 6416809?\nAnswer: 6416458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -825.37894486 + -44768.66398614. Let t = 45594 + p. Let i = t + 0.0427. Round i to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88784180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -23. Let b = t + 0. Sort -2, -5, b.\nAnswer: -5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 27, 7, 21 in ascending order.\nAnswer: -5, 4, 7, 21, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from {j: 2, y: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -0.0429 (b) 0.2 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/5 + 7329*f**4\/5 - 301989*f**3\/5 - 1288653*f**2\/5 - 1642008*f\/5 - 662676\/5 = 0. Calculate f.\nAnswer: -2, -1, 46, 2401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {e: 12, w: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73512288.\nAnswer: 2, 3, 255251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t + 144. Let q be h(-6). Let m(k) = -102 - q + k + 189. What is m(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8041, -32163, -72355, -128623, -200973?\n\"Answer: -y**3 - 8029*y**2 - 28*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p\/p**(-6)))**(20\/7) assuming p is positive.\nAnswer: p**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(1 - 3\/6). Let o = 0 - s. What is the least common multiple of 10 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19854159?\nAnswer: 3, 13, 541, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 39*u**2 - 178*u + 21. What is k(34)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 6, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13370, 13415, 13468, 13535, 13622, 13735, 13880?\nAnswer: 14063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w**2 + 5109*w - 87. Let f(l) = 3*l**2 - 1022*l + 16. Calculate -2*c(q) - 11*f(q).\nAnswer: -3*q**2 + 1024*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31490465 - 218*c - 81*c + 31490465.\nAnswer: -299*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) + (-4)\/(-3). Let h(q) = q**3 + 4*q**2 - 5*q - 1. Let j be h(-5). Which is the closest to j? (a) 2\/5 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 29. Let w(u) = -5*u - 86. Let h(j) = 17*c(j) + 6*w(j). Let l(d) = -2*d + 26. Let y be l(8). What is the remainder when 32 is divided by h(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -675 < -680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17518200 and 17072.\nAnswer: 385400400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-138)\/8*55\/(-297) and -77\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - p + 2. Suppose 2*z - 3 = 2*i - 13, 3*z = -i - 11. Determine b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 2, o: 4}. Give prob of picking 2 o and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5232.01028 - -5232. Round r to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61919\/1382 equal to 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2181*u**3 + 2*u + 4407*u**3 - 2201*u**3)*(-2 + 2 - 2 - u) as y*u**2 + p*u**3 + d + w*u + o*u**4 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001236439 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14433, -14933, -15737, -16845, -18257, -19973, -21993?\nAnswer: -24317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 10) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-351)\/(-702))\/(1\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbr when three letters picked without replacement from {b: 11, r: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 37 = -o - 11, 2*o - 17 = -p. Let d be ((-1)\/(-2)*0\/p)\/(-1). Solve 4*i - f - 8 = d, -5*f + f + 25 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.3. Let p be (-2)\/(-3)*12186\/(-84). Let k = p + 97. What is the closest to k in 2, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 20*o**3 - 47888*o**2 - 28748*o + 19160 = 0.\nAnswer: -1, 2\/5, 2395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrhx. What is prob of sequence xrh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 333 - 4273?\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1\/60*o**5 + 0*o + 1\/2*o**3 + 0 - 6*o**2 + 7\/24*o**4. Let h be w(-6). Which is greater: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*2\/6 + 5. Let v(g) = -g**3 - 14*g**2 - 15*g - 21. Let m be v(-13). Find the second derivative of s*b + b**5 + 2*b**m - 9*b**5 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 9*u**4\/4 + 4*u**3\/3 + 3. Find the third derivative of f(w) wrt w.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1395*x**2 - 5756*x - 74. Give b(-4).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 10796 = 13*p. Let m = p + -1740. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*h + 5, -4*h - 2*s - 402 + 410 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = -b. Let s(a) = 6*a + 7. What is the remainder when s(5) is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3089 and 67033651?\nAnswer: 67036740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-7)\/(-140)*5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -729, -758, -789, -822, -857?\n\"Answer: -f**2 - 26*f - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 3213 = 10*u. Suppose -2*l - 2*g = -1104, -5*g + 215 = l - u. What are the prime factors of l?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20653980 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -217 - 16454*f**2 + 16454*f**2 + 1915*f**3 - 201 wrt f?\nAnswer: 5745*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + l**2 + 10*l - 1. Let z(v) = -12*v**3 - 28064*v**2 - 28085*v - 7006. Let o(c) = -4*h(c) - z(c). Factor o(n).\nAnswer: 5*(n + 1402)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*q - 89, -2*p - 4*q = 4. Sort p, 4, 12 in increasing order.\nAnswer: p, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -18 in ascending order.\nAnswer: -18, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3651 + 0.7\nAnswer: 3651.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:07 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(1*sqrt(8)*3).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029724825 rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -143*b + 19. Let i(j) = -32*j. Let s(o) = -a(o) + 4*i(o). What is s(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1381\/21 + 199\/3. Let k = 3.2 + -3. What is the nearest to k in 3\/7, -5\/4, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 - 3*t - 2. Let w(z) = 19*z**2 + 13*z + 9. What is 9*j(i) + 2*w(i)?\nAnswer: -7*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/3))**6\/(o**(-25)*o\/o**(-2\/5)) assuming o is positive.\nAnswer: o**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x + 16\/9*x**2 - 1\/9*x**5 + 2\/9 + 2\/3*x**4 - 14\/9*x**3.\nAnswer: -(x - 2)*(x - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {x: 7, h: 4, o: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -96959*a + 96958*a - 232, a = -17*j - 796 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 0, 219237, -0.1, 8?\nAnswer: 219237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/54)\/(((-855)\/54)\/(-19))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(10\/7))\/f**(8\/11)*(f*f**(2\/25))**27 assuming f is positive.\nAnswer: f**(59408\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 24440346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 - 111*t - 270. Let y be ((-2)\/3)\/(25\/(87450\/44)). What is b(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**5\/35 + 4*v**4\/7 - 32*v**3\/7 + 128*v**2\/7 + 21*v. Let o(s) = 0. What is s?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*b = 189*b - i + 7, 4*i + 22 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 7. Let m be (-8)\/(-14) + (-2304)\/112. Let o be m\/(-35)*7\/(-2). Let b be q(o). Solve -b*z - 6 = -0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**3. Let z(x) = -6*x**3. What is -4*o(s) - 9*z(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 216, -6*b - 4*b + 3*b + 39 = 2*g - 5*b - 63 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1 - -5 - 413\/105). Solve -l = -5*l + 20, -x = 2*l - i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q + 3. Let i(s) = 94*s**2. Determine i(f(l)).\nAnswer: 4606*l**2 + 3948*l + 846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 157*v + 185. Determine k(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -20 (b) 0.2 (c) 1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:31 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 19244*r**2 + 19245*r**2 - 4*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*p + 9. Sort p, 9, -1 in decreasing order.\nAnswer: 9, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, -0.5, 16, -3 in ascending order.\nAnswer: -18, -5, -3, -0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 10*k + 2. Calculate l(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 (base 13) in base 6?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -593*m - 2362. Determine x(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/84)\/((375\/(-245))\/5). Which is greater: -4\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -5*i - 3*s, -2 = s - 3. Let z(y) = 8*y - 5. Let a be z(3). Are a and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4463311576 to the nearest integer?\nAnswer: 66808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 + 5*d**4 + d**4)*(0*d - 2*d + 0*d) - 2*d**5 + 4*d**5 - 3*d**5 - 51*d.\nAnswer: -5*d**5 - 51*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a + 62 = 5*f, -4*a = f - 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f**2 + 1027 - 1027 + 21*f**2 - 22*f**2.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2142\/204)\/((-210)\/45)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -963 - -1061. Is 61 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**3 - 49*t**2 - 357. Let c(u) = -4*u**3 + 23*u**2 + 178. Let o(a) = -9*c(a) - 4*f(a). What is the derivative of o(z) wrt z?\nAnswer: 24*z**2 - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101212 - 12222010?\nAnswer: -12120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-13)\/26*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 19. Let h = 1418 - 1437. Let i(s) = 19 - 2*s - 2*s + 5*s. Let z be i(h). Give u(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y = -59*y + 109*y - 150 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -9 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c51 + -15a77?\nAnswer: -1d8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3573, -4062, -4551, -5040, -5529?\n\"Answer: -489*w - 3084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7722 and 936?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 + 2*b + 2. Let g be x(2). Suppose 3*w = -2*w. Suppose t - 37 - 11 = w. Calculate the greatest common factor of g and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) 1 (d) 2 (e) -1144 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 17.19?\nAnswer: 34.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdaz when four letters picked without replacement from {r: 1, z: 1, a: 1, d: 6, p: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a**3 - 5*a**2 + 17*a - 9. Suppose -11*f + 1 - 23 = 0. Let i(t) = 31*t**3 + 11*t**2 - 35*t + 18. Let u(x) = f*i(x) - 5*k(x). Factor u(g).\nAnswer: 3*(g - 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 97*x**2 - 13*x - 101. What are the prime factors of m(-11)?\nAnswer: 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by -1432422?\nAnswer: 245\/1432422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32247450 and 900.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6263 - 62751\/10. What is the common denominator of i and 55\/94?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*r - 25 = 0, 7 = -9*i + 10*i + r. What is the highest common factor of 230 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.4 + 12.93. Let k = -0.97 - i. Which is the nearest to 4? (a) 0 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1946.001589 + -1946. What is d rounded to 5 decimal places?\nAnswer: 0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = 5*o - 111000020, 2*o = -b + 44400004. Suppose 11*d = 9*d - o. Round d to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169010521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-21980)\/56)\/((-1)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16982102 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n**2 + 16*n + n - 2*n**2 + 3*n**2 - 27. Let t be g(-19). Solve -4*s = -22 + 6, -a - 4*s + t = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20738, -21633, -23130, -25229?\n\"Answer: -301*i**2 + 8*i - 20445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 233*p - 901. Calculate k(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000268879 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -2173.3.\nAnswer: -2169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, -0.3, 5, -12\/53, -7, 1 in increasing order.\nAnswer: -7, -0.3, -12\/53, 2\/49, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(102)\/sqrt(6) + -1*sqrt(272) + (sqrt(153) - (-4 + sqrt(153))**2)*4.\nAnswer: -671 + 105*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1110595367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261 + 279. Suppose 11383 - 4255 = o*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 51. Let b be u(17). Suppose b = -25*r + 19*r + 30. Solve -l + r*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 8. Let d = 28 + -25. Suppose -3*j + d*l + 39 = 0, -2*j + 0*l - 5*l - 9 = 0. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 30. Suppose -5*l + q + 1060 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 2}. Give prob of sequence qq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) + (1 - 0). What is the common denominator of j\/(((-5)\/2)\/(-1)) and (-1689)\/180 + 4 + (-2)\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*q**3 - 572*q - 30 + 299*q + 30 + 273*q - 96*q**3.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:36 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 739611 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.4694 and 2.4.\nAnswer: -13.0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -70515 less than 0.6?\nAnswer: 70515.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 346935, 20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*q - 3*q. Find the third derivative of -t + 0*t + t - 4*t**3 - q*t**2 wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6611718.\nAnswer: 2, 3, 23, 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 36*c - 45*c - 19*c)*(3*c**2 + 2*c - 2*c) + (-3 - 2*c + 3)*(0 - 2*c**2 + 0) + 2*c**3 + 3 - 3.\nAnswer: -78*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209 + -195 - (53 - (-10 - -4)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (7 + -11 - (-25 + 12))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2903 rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 12:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-3*(-2)\/84.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984820 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -4941, -17058, -40657, -79566?\nAnswer: -137613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + -10 - -6 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2149*r**2 - 718*r**2 - 709*r**2 - 722*r**2 - 3*r + 156*r**3.\nAnswer: 156*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1674*d - 1543. Is p(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.44 - -0.56. Let b = v + -23.71. Round b to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 12*h + 13. Let k be 4\/(-6)*(4 - (-75)\/6). Determine j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/21 and (-3 - -2)\/3*5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h**3 - 9*h**3 - 1 + 14*h**2 + 2*h + 44*h**3 - 21*h**3 to m*h + q + v*h**3 + b*h**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6 - 8*k**2 + 22*k - 50*k + 34*k. Let x(t) = 23*t**2 - 17*t - 17. Let c(m) = -17*r(m) - 6*x(m). Let y(a) = -a**2. Determine 3*c(s) - 4*y(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + h = -22. Find b, given that 1\/2*b**3 + 0 + 0*b**h - 1\/2*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2. Let b(q) = -1488527*q. Calculate b(c(s)).\nAnswer: -4465581*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 (base 9) in base 12?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:58 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5050, 10112, 15178, 20260, 25370, 30520, 35722, 40988?\nAnswer: 46330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 21*q + 42. Let b be p(-22). Suppose 2*l - 2*f = -b, -35 = -0*l + 2*l - 5*f. Put 4, l, 1 in increasing order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2 = 4*b, 4*i + 11*b = 16*b + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4889901 by 18.\nAnswer: 1629967\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2754218678.\nAnswer: 2, 1377109339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 8. Let j be v(-4). Let r(s) = -3*s - 14. Let h be r(j). Calculate the least common multiple of 10 and (-1*2)\/(h\/(-121)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {b: 3, r: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*g**2 + 2 + 141*g**2 + 126*g**2 - 2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 6463*t**5 - 7592*t**5 - 3 + 0 + (-2 + 2 - 2*t**3)*(t**2 + 2 - 2).\nAnswer: -1131*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**3 - 1\/35*w**6 + 0*w - 5\/56*w**4 - 149*w**2 - 41\/140*w**5 + 0. Factor a(v).\nAnswer: -3*v*(v + 5)*(8*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38924490383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:33 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81062?\nAnswer: 2, 40531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 10. Let v(d) = -d**2 + 16*d - 7. Let o be v(15). Factor -o*t**3 - 10*t**2 + 5*t**2 + 3*t**i.\nAnswer: -2*t**2*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 119284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169969 and 1277698.\nAnswer: 37053242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1320 = 5*j, 2*x - 4*j - j = 525. Is 3*(x\/3)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 61. Let z be (1\/o)\/((-10)\/(-4)). What is the closest to -0.1 in -5\/3, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1295?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 4*q**3\/15 + 8*q**2\/5 + 12*q\/5 + 1. What is h in a(h) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3287*a + 1230*a - 10875*a - 8515*a - 9081*a + 3*a**2.\nAnswer: 3*a**2 - 23954*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.043 + 0.043. What is the closest to 2 in x, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 5. Calculate r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*l = -0*b + 43, -5*l = 5. Suppose b*o - 8*o = 14. Suppose 36 = -o*u + 3*u. Are u and -9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153714499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**1)**(-3\/13))**(-30))**50)**(-33) assuming a is positive.\nAnswer: a**(-297000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.8096g in kilograms?\nAnswer: 0.6928096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2 + 2*g + 14. Let u(y) = 5*y**2 - 2*y - 14. Let b(n) = 3*k(n) + 4*u(n). What is the tens digit of b(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 835 - 1093 = -32*t, -3*b = -5*t - 179 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -46. What is the remainder when 47 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u + 8. Suppose 5*q = 8*q + 18. Let v be k(q). Let s = -30 - v. What is the greatest common factor of s and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 5:01 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 + -0.6. Let a = 1706 - 11944\/7. Sort f, -1.2, a.\nAnswer: f, -1.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 561981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 221255963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205023585*j**2*r + 73*j**2 + 1141869*j wrt r?\nAnswer: 205023585*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 2\/15 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 35. Let k = o + 5.99996. What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 3*x**3 + x**3)*(0*x - x + 4*x)*(-209 + 381 - 404).\nAnswer: 1392*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Put -1, u, -2 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165641, 0, 4 in descending order.\nAnswer: 4, 0, -165641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0086 + -0.2086. Let n = -0.3 - -0.25. What is the nearest to 1 in v, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 0. Suppose k = b + 3*b - 4. Put 2\/7, -2, b in increasing order.\nAnswer: -2, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**3 - y**2. Let q be g(-1). Suppose -34*o - 60 = -37*o. Suppose 8*u = 3*u + o. Solve u = 2*b - q*v + 5, -b - 1 = -3*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*t = -101*t - 264. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5646.9638 rounded to zero dps?\nAnswer: -5647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101.3579 + -101.59. Which is bigger: 3\/2 or h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66913, 133822, 200731, 267640?\nAnswer: 334549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 20*d**2\/3 - 49616*d\/3 - 3308 = 0.\nAnswer: -1\/5, 2481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 41. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5317\/2454)\/(1\/(-6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*p = 32, 5*p + 4 = 2*f - 0*p. Sort 0, 2, f in descending order.\nAnswer: f, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from rgrdsfrgk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 3.02. Let n = 4 + -4.9. Let x = n + t. Which is the biggest value? (a) 0.4 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:41 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 - 3*v + 1. Suppose -4*u - 6 = -2*t, -3*u = -2*u - 2*t. Let i be s(u). Solve i*d = -5*p - 6, 0 = -0*p - 2*p - 3*d + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 10*v + 34. Let l be u(-5). Differentiate l*h + 3*h**2 - 2*h + 354 - 293 with respect to h.\nAnswer: 6*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -2. Let w = v - -6. Suppose -4*d = -6 - 6. Solve 15 = -d*g + 5*z - w*z, -z - 25 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.2 (c) 1\/4 (d) -14407 (e) 3\/5 (f) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4858336 and 131\/25760.\nAnswer: 24291680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23816 + -23816. Let g(u) be the first derivative of 40 + 0*u + f*u**2 + 1\/4*u**4 - 1\/3*u**3. Factor g(x).\nAnswer: x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 21*h - 72305. Give l(-185).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*p = 1263*p + 1090*p - 17390 - 5308 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3 - 27*c + 3*c + 26*c - 5 - 2 wrt c.\nAnswer: 6*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(44\/24) - -18. What is the highest common divisor of 6144 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = 2*b - 3*z, 0 = 2*z - 2. Let f = -146 + 185. Let h = f + b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/50 - (7 - (-33108)\/(-4980)). What is the third biggest value in j, -2\/5, -3\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/7 - -5 - (-36)\/(-70)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.001 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 10*j + 2. Let m be d(10). Let c(w) = 3*w**m + w**2 + 4 + 7*w - 3*w**2. What is the units digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-18)\/(b*(b**(-4\/9)\/b)\/b))\/((b*b**(-3\/5)\/b*b)\/((b*b**(-3\/16)\/b*b)\/b)))**(6\/25) assuming b is positive.\nAnswer: b**(-12343\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 32453, 2\/3, 3\/5, -3 in descending order.\nAnswer: 32453, 2\/3, 3\/5, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*w**2 - 3*w + 2*w**4 + 6*w**4 + 5*w**4 + 11*w**4 as p*w**2 + r*w**3 + g*w**4 + l + x*w and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1.404.\nAnswer: 0.5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, m: 1, j: 2, p: 1, q: 1}. Give prob of picking 1 f and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/14 + (-18)\/63. Suppose -o = k - 11. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**5*t*t**19)\/(t*t\/(t\/(t\/t**9)))**(5\/16) assuming t is positive.\nAnswer: t**(451\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/4)\/(4\/((-16)\/(-20))). What is the biggest value in -4\/3, 4.5, v?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 1. Let a(c) = 1796*c**2 - 1796*c - 898. Determine -a(q) - 898*d(q).\nAnswer: -1796*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2156, 16756, 56378, 133532, 260728, 450476?\nAnswer: 715286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100705 divided by -20141.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 13*m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a. Let k(s) = -6*s + 4. Let i(m) = -7*m + 5. Let l(o) = o**3 - o - 1. Let f be l(2). Let r(c) = f*k(c) - 4*i(c). Calculate r(d(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 13271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0. Let w = -1.1 - -0.5. Let o = -0.5 - w. Is b less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*c**3*h**3 - 2*c**3*h**2*j + 3072554*c**2*h**3*j - 1061*c**2*h**2*j + 31*c**2*h**2 - c**2*h*j + 4*c*j wrt h.\nAnswer: -168*c**3 + 18435324*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*y**5 - 1)*(-3 + 1 + 3) - 2*y**3 - y**5 + 2*y**3 - 2*y**5 + 25*y**5 - 2*y**5 + (3*y**3 - 3*y**3 + y**3)*(y**2 + 0*y**2 + y**2) + 0 - 2*y**5 + 0.\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52073337 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/180*-3)\/(((-4650)\/(-248))\/25).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -7 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.5 - -4. Let k = 14 - i. Which is the third smallest value? (a) -0.5 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 3*b**3 + b**2 - 3*b - 2.\nAnswer: (b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 85?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 119, 224, 407, 680, 1055?\n\"Answer: 2*g**3 + 27*g**2 + 10*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - 2*q**2 - 5*q - 4. Let f be v(-1). Let m(a) = 3*a**2 + 0*a**2 + 2*a**2 - 8*a**f. Let s(c) = c. Determine s(m(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 + 4.776. Let m = h + -0.046. Let i = -5.03 + m. Round i to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392553 and 88038?\nAnswer: 57312738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1005 - -4?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*z + 79*z - 29*z + 9*z**5 - 4*z**5 + z**5 + 5*z**5 + (-5*z + 4*z + 0*z)*(-2*z**4 - 2*z**2 + 2*z**2) + 0*z**5 + 2*z**5 - 4*z**5.\nAnswer: 11*z**5 + 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:19 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(35\/(-15) - -3). List the prime factors of v - (-4 + 4 - 35).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 + -6 - -5 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220919617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = -x - s, 3*x = -4*s. Suppose x*j + 86 = -2*z, 0 = -2*j - z - 2*z - 49. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66167.58 to the nearest 10.\nAnswer: -66170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 32*c = 4*c. Let s(h) = 12*h - 49*h + 13*h - 1 + 7*h + 16*h + 3*h**2. What is s(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 0.2, -103, -401, -2\/17?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6543.\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.00706 (b) 1 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9 + 18.5303545?\nAnswer: 28.4303545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.128 + 18.028005. Let m = -43.9 + 44. Let v = m + k. Round v to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6253548*w**3 - 16148936*w**2 wrt w.\nAnswer: -37521288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + 47. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720))**2 + (sqrt(125)*-5)**2.\nAnswer: 6005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-592)\/(-1332) - (1 + (-242)\/(-18))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/39 - 12\/78. Let r = -1641 + 1645. What is the smallest value in r, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-12))\/14*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88\/65 + 15\/13. What is the third smallest value in g, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 3*j)*(0*j**2 + 0*j**2 + j**2)*(-29 + 15*j + 42 - 14*j).\nAnswer: 2*j**4 + 26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:35 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7828 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 598.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (42 - 52 - (-21 + 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/69786 and -65\/8?\nAnswer: 279144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45284.58 micrograms to nanograms.\nAnswer: 45284580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 - j + 1. Let l(u) = -u**3 + 6*u**2 + 67*u - 36. Let i be l(-6). Let m(q) = 5*q**3 - 7*q**2 + 12*q - 6. What is i*p(z) - m(z)?\nAnswer: z**3 + z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107463\/414137 - -5\/1433. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202463.479989 - -202464. Let q = o - 0.52. Round q to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*t = -3*m + 11, 1 = 3*m - t. Sort m, -11, 4 in decreasing order.\nAnswer: 4, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234161075 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -248012, 3, -22, 0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2. Let y be f(-1). Let s(t) = 3*t + y*t**2 - 3*t. Let c(i) = i. Calculate c(s(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46703 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**4 + s**2 - 3*s + 7. Let p(x) = x**4 - 153*x**2 - 16*x - 2. Let z(v) = -2*a(v) - p(v). Find the second derivative of z(m) wrt m.\nAnswer: -60*m**2 + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160719 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 24, 40, 54?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32021441 (base 5) to base 14.\nAnswer: -6d4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22413 + -3?\nAnswer: -22421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855876.1kg to tonnes.\nAnswer: 855.8761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/16 + (-20)\/160 - -2517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*z - 678 = 0, 0*i = -3*i + 4*z + 501. Let w = i + -2051\/12. Which is the second smallest value? (a) 1\/5 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 = 3*o. Suppose u + 2*p = -0*u + o, 3*p = u - 29. Let f = u - -26. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-72))\/(2\/8). Let k = 0.1672 + -0.1472. Which is the nearest to 0.1? (a) t (b) k (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 1, d: 1, l: 1, i: 2, g: 1}. What is prob of sequence gdfi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -39*k**6\/2 - 5*k**3\/3 - 575*k**2\/2 - 687. Find the second derivative of z(r) wrt r.\nAnswer: -2340*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-4\/7)*c*c*c*c*(c*c**10)\/c*c**(-4)\/(c\/((c*c\/(c\/(c\/(c\/(c*c*c*c\/((c*c**(-9))\/c)))))*c)\/c)) assuming c is positive.\nAnswer: c**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 8*t**2 + 29*t**2 + 4*t**2. Let s(p) = p. Calculate c(s(q)).\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 487, 715, 1143, 1837, 2863, 4287, 6175?\nAnswer: 8593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*m = 192*m + 1044. Let i(p) be the second derivative of -7*p**4\/4 - 13*p**2\/2 + p. Let h(k) = -10*k**2 - 6. Calculate m*i(o) - 13*h(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)*-2 - (-3 - -2). Put 12, 5, a, -3 in decreasing order.\nAnswer: 12, 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/(y**0\/y))\/y)\/y)**(-6\/25)*y**(-3)\/y*y*y\/(y*y*y*y**4) assuming y is positive.\nAnswer: y**(-231\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24286*k. Let j(l) = -12*l. What is z(j(m))?\nAnswer: 291432*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 3*r - r - 3*r + 3*r. Let c(o) = -2*o - 221. Determine i(c(b)).\nAnswer: 2*b + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.6521 to one decimal place.\nAnswer: 147.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 + 39*i + 24. Let b be r(-5). What is the nearest to -1 in -2\/3, 0.231, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.82 - 5.82. Sort 3\/2, u, 8, -5 in descending order.\nAnswer: 8, 3\/2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3*i + 3. Let h(b) be the third derivative of b**5\/60 + 5*b**4\/12 - 3*b**2. Let m be h(-10). Suppose -3 = -d - m*d. Give s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -265, -345?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:20 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 + 12*l - 48. Does 8 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 14981*s - 1088291. Determine d(-73).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.1773 (c) 0.1 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = 200. Let d = -31 + z. Let n(o) = o**3 - 7*o**2 - o + 9. Let q(w) = w**2 - w - 2. Let s(a) = n(a) + 4*q(a). Give s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrtrtrjrrtrttt. What is prob of sequence jt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Let b be (2*1)\/(10\/90*9). Calculate the remainder when 13\/b - u\/(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 10*l**2 - 2*l - 13. Let s be f(10). Let u be (-39)\/33 - 6\/s. Let h be 1*((-2)\/u + -2). Solve p - 7 = -h*p - 3*g, -3*g = -2*p + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -36372*s. Let q(z) = -13*z. Calculate q(f(i)).\nAnswer: 472836*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 + 28 - (-13 + 2)) + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-19 - -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.64 + -1. Let j = -279 + 279.16. Let t = z + j. Which is the second smallest value? (a) -2 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 225. Suppose 0 = -i - 2*k + 15, -5*i = -0*i + 2*k - 99. Determine b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -30d85e?\nAnswer: 30d85d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 5*k + 36, 4*k - 48 + 78 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgoqz. Give prob of sequence oz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(96)\/(-2*sqrt(12)) - (0 + (sqrt(8) - 2*sqrt(8)))))**2 + (sqrt(120)\/sqrt(6)*-6)\/(sqrt(50)\/(-2*sqrt(5))).\nAnswer: 12*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27677727 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -149942 less than or equal to -149966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 207 = -59*d, 0 = -16*d - 3555*b + 3550*b + 98 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {e: 5, b: 1, c: 7, g: 3}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 76 = 2*f, -1038*f + 1035*f - 47 = 4*s. Factor 14\/5*g**2 + 34\/5*g - 2\/5*g**f + 18\/5.\nAnswer: -2*(g - 9)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from eeff?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283366 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 9. Let o be r(-12). Let t be (0 - -3)\/o*1. Which is the second smallest value? (a) t (b) -3\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56050283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(-48)\/(a**(1\/4))**(-2\/13) assuming a is positive.\nAnswer: a**(-623\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8*w + 5*w = 13, w = 3*i - 23. Solve -12*u + 8*u = i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-5)\/(50\/35)*-72. What is the greatest common divisor of 36 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3680*r + 5*r**3 - 8*r**3 + 3680*r - 2*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q - 21. Let r(v) = 17*v - 31. Let x(b) = -8*h(b) + 5*r(b). Suppose -4*d - 4*m - 7 = 9, -5*d - 2*m = 35. Is x(d) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 6, 2 in descending order.\nAnswer: 24, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 662445 by -10515.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6416 and 119396547.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h - 0 - 70. Solve -v + h*v + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3359*z + 4615 = 573 - 4 - 2672 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let q(p) = 4*p - 112. Calculate w(q(s)).\nAnswer: 8*s - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70068 is divided by 141.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2868*(-21)\/(-14))\/(-1). Let m = q - -6139. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*(4*sqrt(150) - sqrt(150) - sqrt(150)))\/(1*sqrt(108) - (sqrt(24)\/(-1*sqrt(8)) + sqrt(3))))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**5\/30 + 5*k**4\/24 + k**3\/2 + 18*k**2. What is the remainder when m(-2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114448339 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 9*y + 24. Let u be d(4). Let s(r) = 3*r - 12. Let f be s(12). Solve u*i + 26 = 3*b, -2*i - f = -3*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*r - 130447*r**2 + 96*r + 131394*r**2 to y*r**2 + n + x*r and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -381.1, -2221, 1\/4 in descending order.\nAnswer: 1\/4, -381.1, -2221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 17*i**7\/420 - i**6\/120 - 26*i**3\/3 + 34. Let m(w) be the third derivative of a(w). Find the third derivative of m(z) wrt z.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/35)\/((-240)\/2100)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 3*y**3 + 6*y**3 + (514*y**3 - 5*y**2 + 3*y**2 - 525*y**3)*(3 - 1 + 0) in the form q*y**2 + h + u*y**3 + z*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16720620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffdppydfpq. What is prob of picking 3 p and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1541242742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 - 28 = 0. Let g = p + 15. Suppose -r - 108 = -g*r. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -3608*o**5\/5 - o**4\/4 + 3437*o**2\/2 - 163. What is the second derivative of c(m) wrt m?\nAnswer: -43296*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, p: 3}. Give prob of picking 2 n and 2 p.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11271412 and 1497?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*-3)\/sqrt(9).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*v. Suppose z = -2*z - 3, -5*z = v*b - 19. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 9. Let a be j(-9). Suppose 0 = -a*o - 10239 - 1065. Let s = 2547 + o. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Suppose -2*x = -4*v - 8, -4*x = -5*v - q*x + 8. Suppose -3*u - u + 36 = 4*r, -r + 4 = v. Sort 14, u, 1 in descending order.\nAnswer: 14, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y - 2\/3*y**2 - 10\/3.\nAnswer: -2*(y + 1)*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 3*o + d, -d = 1 - 2. Let r = 54 + o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 14*h**2 + 2*h + 16. Determine v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3932602944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2751 (b) -0.06 (c) -2\/13 (d) -0.3 (e) -1\/4 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/38)\/(m\/(m*m**(-3\/7)\/m*m))*(m**33)**(16\/5))**48 assuming m is positive.\nAnswer: m**(3359592\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/31, -0.8, 3\/5, -3\/4, -5 in increasing order.\nAnswer: -5, -0.8, -3\/4, 2\/31, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 11. Let c be o(-11). Suppose c = -i - 2*i + l - 11, l - 2 = 0. Let u(z) = z - 4. Let k be u(8). Sort -2, k, i in descending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 + 17385*z**2 - 25177824*z - 25195212 = 0. What is z?\nAnswer: -1, 2898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.009 - 0.009. What is the third smallest value in 3, a, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**4*i*i*i)**(-12)\/(i**36)**36 assuming i is positive.\nAnswer: i**(-1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-135)\/(-3))\/(-69 - (-12958)\/186).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 26 = 1740*g - 1739*g, -4*g - 3*v = -41 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 21*g**2 - 19*g + 18. Let d be x(-20). Let k be d\/(-184)*(-5 - 1). Let a = -97 - -98. Are k and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28686, -9181, 23328, 68841, 127358?\nAnswer: 198879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 16, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i - 1887 + 2029 = 0. Let m = -0.1 - 0.1. Put -2, i, -1\/2, m in ascending order.\nAnswer: -2, -1\/2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 10*z + 3. Let n be d(-10). Let v be (1 - 0 - 0)*n. What is the derivative of 4 - 4 - 4 + h**v + h**3 wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8708035 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 3*t**4 - t**4)*(17*t - 339*t + 90*t).\nAnswer: -232*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5854 + -4745?\nAnswer: -11710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -4, -1, -3, 241 in decreasing order.\nAnswer: 241, -1, -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4 and ((-18)\/(-21))\/(-3) - 10659\/(-37576).\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.567 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 3*h**2 + 3*h + 3. Let b be p(3). Suppose -3*f + 24 = f. What is the highest common factor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-568)\/22 + (-11)\/(-11) - 820\/4510.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-50)*4 - 21\/(-40))\/(130\/(-120))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (43 - 39) - -8 - 42?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47624211?\nAnswer: 3, 2099, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -67. Which is the second biggest value? (a) -3 (b) 5 (c) 1.2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v*x + 1051864580*v + 477942064*x with respect to x.\nAnswer: 2*v + 477942064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12817?\nAnswer: 7, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/215)\/((-28)\/(-10))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 6 = 5*s. Let k(y) = -y**3 - 4*y**2 - 4*y - 2. Calculate k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + o = -88, 5*w - 5*o + 0*o = 130. Let f = 31 - w. Let c(b) = 3*b + 23. Let u be c(f). Calculate the greatest common factor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149785 to the power of 1\/2, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than or equal to 233\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 2228 - 2228. Let d(n) = -4 - 77*n - 27*n + 1 - 5*n + 6. Calculate p(d(m)).\nAnswer: 109*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138124?\nAnswer: 2, 7, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 220901395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {m: 2, q: 2, n: 7, u: 5, y: 2}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 14*x - 16*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-6)*1044\/870\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 11*b**2 - 10*b + 25. What is g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from ccncccfcnffcrccc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19703 + 3521. Let i = -23222.5427 + b. Let o = 1.45 - i. Round o to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times 0.15?\nAnswer: 7.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 divided by 45267.\nAnswer: -400\/45267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/(-14) + (-6)\/21. Let z = b + 51. Suppose s + z = 4*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -131 in -2\/39, 1.8, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.523 - -0.523. Which is bigger: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 1545936*x - 105105152.\nAnswer: -4*(x + 68)*(x + 386416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4113916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2080185 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*g*q**3 - 4*g*q - 21*q**3 wrt g?\nAnswer: 55*q**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49397 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 - 8*h**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f*f*f*f**(2\/27)*f)**(-48))**34 assuming f is positive.\nAnswer: f**(-67184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -41, -0.2, -16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1*v)\/v)**(2\/7)\/(v**(-3\/2)\/v**(1\/9))*((v*v**2*v)**(-7\/6))**38 assuming v is positive.\nAnswer: v**(-22069\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9225*t - 10515. Let q(v) = 6150*v + 7024. Let m(x) = -8*q(x) - 5*r(x). Differentiate m(k) wrt k.\nAnswer: -3075","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:04 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 6579357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 4*v**2 - 109*v + 156. Let k be g(14). Solve 17 = -5*c - r + 5*r, -5*c = k*r + 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, f: 1, o: 1, l: 1, m: 1}. What is prob of picking 1 n and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (-4 + 46\/(-3)) and -56\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1) + 2 + -4. Let l = -2 + 1. Let k = l - -0.9. Which is the nearest to 0? (a) h (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t, 3 = 3*x - t. Suppose 3*r - 23 = -5*n - x, 0 = -2*r - 5*n + 18. Sort -3, r, -1 in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15132 - -25352. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(1 - 75\/12). Let r = 17.82 - 18. Let z = r - 0.02. Which is the smallest value? (a) z (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {l: 4, r: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - -0.14. Let y = 0.07 - p. What is the closest to y in -1, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - (-2 - -3)) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u + 111. Let k(r) = -2*r - 2. Give j(n) + 3*k(n).\nAnswer: -n + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/498 and (50\/(-14))\/((1\/2)\/(18\/(-216))).\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d - 402 = 126 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(208))**2 + -3 - (-4 + (sqrt(13) - sqrt(52)) + -2)) + (-3*sqrt(325) + 1 + sqrt(325) + sqrt(325) + 1 + sqrt(325) + 2)**2.\nAnswer: 9*sqrt(13) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/7410 and 43\/1339560.\nAnswer: 330871320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 23 - 12 - 194 - 20 + 193 + 56.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 67 = -4*m + 3*t, 66 = 3*m - 3*t. Let r(w) = 5*w - 57. Let l be r(m). Let o = l + 67. What is the highest common factor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 6\/14657, 0.5, 0.2, 1\/8, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 2:29 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + -1*sqrt(11) + (sqrt(176)*-2)**2).\nAnswer: -704 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 8:49 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + -0.57. Let o = 26657.7 + -26658. Which is the nearest to 1? (a) k (b) o (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -44. Calculate the remainder when n is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5946982708 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, s: 10}. What is prob of sequence rr?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05638 - 0.05638. Put 12, 9\/2, p in descending order.\nAnswer: 12, 9\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 9) to base 15\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + (0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207411.005 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 80879?\nAnswer: 647032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616095 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 846 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 + 1476*i**2 - 288*i + 1 wrt i.\nAnswer: -36*i**2 + 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjwdjnjdodnjddd. Give prob of sequence nj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 9*q - 4. Let n be i(-7). Is (-538)\/1*n\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408 + -124. Suppose 0 = -289*t + k*t + 705. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/2*(-90)\/225. Let y(g) = -g**2 + 2*g - 3. Let u(z) = -z + 1. Let s(d) = 3*u(d) - y(d). Let v be s(4). Put i, -4, v in ascending order.\nAnswer: -4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2844530*c**5 - c**4 + 3*c**3 - 836369*c**2 - c - 4 wrt c?\nAnswer: -170671800*c**2 - 24*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -68. Suppose 0 = -y*l + 5*q + 225, -2*l = 4*q + q - 76. Let c = 61 - l. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -759 + -7?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6 + 1)*2. Let r be 2*(2 + -1 - o). Suppose r*k = 18 + 26. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5975732 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0*g**4 + 0 + 18*g + 0*g**5 + 23\/2*g**2 + 4\/15*g**6 + 0*g**3. Differentiate f(q) wrt q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 326123572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 9 - 3. Let s be 2\/(-3) + 11\/v. Suppose -3*y - s = 6. Put 3, 1, y in descending order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -3 - 1 - (-19 + 20 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdf when three letters picked without replacement from dfdfffffff?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 13*q**4 - 10*q**3 - 4*q**3 - 5*q**2 + q + 0*q**4. Let n(i) = 6*i**4 - 7*i**3 - 3*i**2 + i. Let y(d) = 3*f(d) - 7*n(d). Factor y(m).\nAnswer: -m*(m - 2)*(m - 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2\/2 - 1. Let j(o) = 7*o + 5. Let g(d) = -2*d - 1. Let r(q) = 5*g(q) + j(q). Determine c(r(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(528)*2)\/sqrt(12))**2*1.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(560)*-3 + -4*sqrt(560))\/(sqrt(28)\/(sqrt(4)*2 - sqrt(4)) + 2*sqrt(28)\/sqrt(4))*4.\nAnswer: -112*sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09101 and 0.5?\nAnswer: 0.045505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + q + (-2 + q + 2)*(1 + 1 - 10))*((-2 + 2 + 3*q)*(-q + 2*q + 0*q) + 2*q**2 + q - q).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-1)*v*v)))**(21\/5)*v\/(v*v**7\/v)*v*(v*v*v\/((((v\/v**34)\/v)\/v)\/v)*v*v)\/v assuming v is positive.\nAnswer: v**(196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 47 - 23 + 1 + 1 + 0 + (1 + 1 - 3)*(-1 + 4 - 1))*(-n**2 - 4*n**2 + 0*n**2).\nAnswer: 255*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 + 5*l + 4. Does 20 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6)*v**(-9)\/v*v*v**(2\/29)*v*(v*v\/((v*v\/v**9)\/v)*v*v)\/v*v)**(-5\/8) assuming v is positive.\nAnswer: v**(135\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7483, -73 in increasing order.\nAnswer: -73, 1, 7483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - r - 20, -3*s + 5*r = -17 + 2. What is the smallest common multiple of s and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 5543021928.\nAnswer: 5543021929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 1\/2*z**2 - 7 - 11\/3*z**3 + 0*z. Let j(q) = -q**2. What is j(b(m))?\nAnswer: -121*m**4 + 22*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 628?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2c9779 (base 16) to base 2\nAnswer: 1011001001011101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 u when three letters picked without replacement from {y: 1, r: 3, u: 3, h: 7, w: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 89. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 43004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 14 = 5*s, -s + 20*m + 11810 - 11828 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let j(n) = 9*n + 6. Let k = 242 + -243. Let z(f) = k*j(f) - 6*o(f). Let t(i) = 7*i. Give z(t(d)).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-159)\/(-2))\/(12\/(-16)). Let q = 1923.1 - 1923. Is z < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 + 92 = -108*f. Let o(g) = 11*g + 83. Calculate o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289679?\nAnswer: 13, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/5 - 168867464*a**2\/5 - 7129055099447824*a\/5 = 0.\nAnswer: -84433732, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -295800, -296345, -296890, -297435, -297980?\n\"Answer: -545*j - 295255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19390?\nAnswer: 2, 5, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 623*j**5 - 22*j**4 + 10*j**2 - 1189*j**5 + 4*j + 3 - 12*j**3 + 586*j**5 - 3 = 0.\nAnswer: -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/(-40))\/((44\/(-5))\/22)?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + 2. Suppose -50 = 3*f + 2*w + 2*w, w = 1. Let s = 33 + f. Solve -s = l*r + 1, -5*r = 2*b + 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 5*v - 3*v)*(-3*v**2 - 1 + 4 + 0).\nAnswer: 6*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-5\/11)*(d**(1\/4))**(-1\/49))**(-2\/19) assuming d is positive.\nAnswer: d**(291\/20482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1102, -1097, -1078, -1039, -974, -877, -742, -563?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1))\/(-1 + 0). Suppose -s - s + 12 = d. What is the smallest common multiple of 16 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**3 - 2*v**2 - 9*v**3 + 0*v**2 + (-44 + 44 - 9*v)*(3 - 2 - 2)*(5*v**2 - 3*v**2 - 4*v**2).\nAnswer: -17*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1700*t**2 - 63*t + 128*t - 5.\nAnswer: -1700*t**2 + 65*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*v = 120*v - 40955. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.16 (b) -1 (c) -3\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 175 = -26*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((88\/10)\/2)\/(200\/500).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/(o\/(((((o\/o**(1\/5))\/o)\/o)\/o*o)\/o))*o**(5\/3)\/o**(-1\/2) assuming o is positive.\nAnswer: o**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*n**4 + 443*n wrt n.\nAnswer: 1752*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*s - 2*s - 18 = 0, -2*j = -5*s - 29. Calculate the remainder when 29 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129.852 - 152.85. Let u = 7 - -16. Let p = q + u. What is p rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-156))\/((-1173)\/7176*-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 31. Calculate h(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*d - 66 = 0, -u - 2*d + 4 = -14. Let f(b) = -b**3 - 20*b**2 - 19*b + 9. Let s be f(-19). Suppose -u*j = -s*j - 15. Solve j*t + 2 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v**2 - 849*v + 12343. Calculate n(24).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -206a?\nAnswer: 206c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d7ac5 (base 15) in base 2?\nAnswer: 10011111111011001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 - 1500*p + 101745 = 0.\nAnswer: -357, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -147*((-1)\/3)\/(4\/12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 5*h + 61 = -14*b, h = 2*b - 113. What is the smallest common multiple of 106 and b?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(3\/9)\/((-95)\/855).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -1 - sqrt(76))*5*4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(175) - sqrt(252)*1) + -5 + (5 + ((sqrt(560)*1)\/sqrt(10) + sqrt(56))\/(-1*sqrt(648) - sqrt(648) - sqrt(8)))**2.\nAnswer: 7248\/361 + 607*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)**(-11))**(-2\/5)\/(m**(-5\/3)*m*m**(3\/7))**(-13) assuming m is positive.\nAnswer: m**(-1249\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -90. Calculate the greatest common factor of i and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*s - 5240, -19*t + 12*s = 8*s - 99295. What is the greatest common divisor of 125 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -51. Let l = m - -87. Suppose 7*n - l = 4*n. Solve w = 3*o + 6 + 6, 0 = -5*o + 4*w - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, 1 k, and 1 t when four letters picked without replacement from {f: 2, k: 2, h: 4, y: 1, t: 6}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-5) - (-6)\/15. Let x(r) be the third derivative of -1\/120*r**6 + 2\/3*r**3 - 1\/12*r**4 + 0 + 0*r + 1\/20*r**5 - 18*r**2. Calculate x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777666809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = a - 3*q, -5*q - 5 = 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 175, 287, 399, 511, 623?\n\"Answer: 112*k - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - f = 18, 0 = -4*f - 16. Let z = -3 + k. Suppose z*o - 130 = -o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89236, -356968, -803200, -1427932, -2231164, -3212896?\n\"Answer: -89250*y**2 + 18*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g. Let s(y) = -y**3 + 5*y**2 + 7*y - 2. Let q be s(6). Suppose 4 = -q*x + 20. Let c(a) = 2*a - x*a - 3 + 3. Determine c(p(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11289821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29219631 - -19701635. Let s = -9517996.7599963 - k. Let w = 0.76 + s. What is w rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 540, 2582, 11\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c**19\/c)\/c))*c)\/(c\/(c\/c**(-15))*c) assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(189144\/(-37830) - -5). Suppose -3*u - s = -13*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -1. Let i(o) = -o**3 - 26*o**2 - 69*o. Let j be i(-3). Put 1\/3, 0.5, c, j in descending order.\nAnswer: 0.5, 1\/3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(6 + 320\/(-52)). Solve 5*w - v = 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 - -164. What is the second smallest value in -2, -3\/8, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/15 and 65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3609 + 7579 = -73*s - 5530 for s.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153.5 - 152. What is the third biggest value in -3\/7, q, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 - (-109 - -121 - (1 - -25) - (-26 - -9))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1364 + 17*f**3 - 1364.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t. Let s(n) = -6*n. Let l be s(-2). Let q(p) = 8*p - 3*p + 7*p - l*p**2. Let u(c) = -8*o(c) - q(c). Find the second derivative of u(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1208455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 7.3. Let p = -6 - n. Which is the closest to 1? (a) -2 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5229490 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 116 = 3*t, 1602*t - 1598*t - 160 = -4*m. Calculate the greatest common divisor of t and 22191.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*y = -2, 2*t = 4*y + 6 - 2. Let f = t + 4. Suppose f*q - 13 = 43. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -31\/8861?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 4*a - 576, -3*m + 408 = 3*a. Suppose 0 = 3*g + m + 151. What is the common denominator of 13\/4 and (2\/(-7))\/(4\/g)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/325 - 1119\/(-39))\/(-5 - -4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9205 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54000 and 1.63?\nAnswer: -88020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 702, 704, 706, 708, 710?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(500) + -4 + 3 + (sqrt(500) - -2*sqrt(500)) - (2 + ((-4 + sqrt(500) + sqrt(500) - sqrt(500)) + sqrt(500))*-2)*-3)**2.\nAnswer: -4480*sqrt(5) + 32784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5720 and 400?\nAnswer: 57200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 0.02 (c) 0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -455363 + 16?\nAnswer: -455344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6752287438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2362 + 2362 + 18*o)*(4 + 0 - 3)*(24 - 28 + 50).\nAnswer: 828*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 9*o + 2. Let p be a(9). Let d(k) be the first derivative of -2 - k**2 - k**p + 4*k**2 - 7*k + 5*k. Find the first derivative of d(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(768)*-1)*6.\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 68, 1 in descending order.\nAnswer: 68, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z - 78. Let n be i(-15). Let d be (-139 - -1)\/n + (13 - 11). What is the highest common factor of d and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 40 = 7*z. Let v = z + -126. What is v rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 683 (c) -1\/2 (d) 2\/15 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 17165.\nAnswer: 17175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c + 2*w = -3560, -901 = c - 5*w. Let g = c + 3619\/4. Let i = -56861\/6 - -9501. What is the common denominator of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -8 (b) -0.082 (c) -4 (d) 0.05 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 0*v**3 + 3*v**3)*(6*v + 0*v - 5*v) + 4 + v**4 - 4 + 709*v**4 + 194*v**4 + 820*v**4.\nAnswer: 1726*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20048, 21350, 24886, 31772, 43124?\n\"Answer: 186*h**3 + h**2 - 3*h + 19864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 1*sqrt(176) - sqrt(176)) + (-4 + (sqrt(176) + (sqrt(176) - (sqrt(176) + 1)))*4)**2.\nAnswer: -256*sqrt(11) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25095 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 20. Suppose g*k - 5 = 10. What is the least common multiple of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 13*z - 778. Let w = z - -393. Let c = -1 - -2. Solve 3*u - b + c = -9, w*u = -2*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 r when three letters picked without replacement from {a: 2, r: 1, z: 1, y: 1, l: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263772 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/10)\/((w**21\/w)\/w) assuming w is positive.\nAnswer: w**(-193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -3.1?\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssppzppppopoi. Give prob of sequence zo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*((98\/(-16))\/(-7) - (-78)\/(-104)). Which is the fifth biggest value? (a) 3 (b) 1.1 (c) n (d) -3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*g + 42 - 130, 0 = 6*h + 13*g - 10*g + 528 for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198851 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 167, 214, 279, 368?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124334 (b) -0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1148158912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 6*q + 1. Is 3 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eexx when four letters picked without replacement from xxxxzzzxzzxxee?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3116 - 3115.88. Put -1\/2, v, -25 in increasing order.\nAnswer: -25, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b**2 - 284*b + 189. Let w be s(23). Solve 0 = -a + w*o - 4, 8 = -4*a + 5*o + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**3 - 5*s**3 - 7*s**3 - 3*s**3 - 14*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120022 - -212120222?\nAnswer: 211000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*u - 175 = 0, -2*u + 6 = -4*u. Let l = s + 297. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 - 506*d + 26*d**3 - 42*d**3.\nAnswer: d**3 - 506*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9.7. Let p = -0.6999991 - v. Round p to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347675 (base 8) in base 7?\nAnswer: 3144245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/13820 and -7\/4.\nAnswer: 13820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 + 2)*(1 - 1 + 4*y) as u*y + l and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 3\/178, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 17*u**2 - 60*u + 79. Give r(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 58\/9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0 - 104)*486\/(-162). Solve 0 = j*t - 305*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n. Let v be h(-2). Let g be (2\/v)\/(4\/32). Factor g*p**3 - 12*p**2 - 24 - 2*p**3 + 8 + 24*p.\nAnswer: 2*(p - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2. Let z be (-2)\/(6\/(-8) + 1). Let b = z + 12. What is p(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 + 165*d. Let o be k(33). Solve 4*b + 9*b - 13 = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -0.5 in descending order.\nAnswer: 1, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -156.7309 from 4.\nAnswer: 160.7309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121422 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2 + 8846*k + 53148 = 0.\nAnswer: -6, 4429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(108))**2 - (2*sqrt(108) + -4 + sqrt(108))**2) + sqrt(108) + sqrt(108) + 1 + -4 + -4 + 0 + sqrt(108).\nAnswer: -886 + 174*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(10) - sqrt(110)\/(-3*sqrt(11)))\/(2*sqrt(720)))**2.\nAnswer: -2*sqrt(2)\/9 + 649\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 0*p**2 - 29*p + 7*p - 2*p**3 + 4503 + 24*p**2 - 8*p**3 - 4496.\nAnswer: (p - 7)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + c**2 - c. Let h(s) = -36*s**3 - 8*s**2 + 11*s + 2. Determine -h(f) - 8*q(f).\nAnswer: 52*f**3 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/144 + (2 - (-18785)\/9). Let x(j) = j + s - 2089. Let z(r) = 3*r. Determine z(x(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) + 2 + sqrt(68) + 1 - ((sqrt(68)*2 + -1)**2 - sqrt(68)))*5 + 3.\nAnswer: -1347 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/3*(-6)\/987\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 172\/601 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21488026 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 3*d**2 - 21*d - 4. Suppose 0 = -4*k + 79 - 43. Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.4 (c) 6\/19 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -58. Suppose -282 = -d*u + 2516. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/127, -0.016, -30, 0.5 in descending order.\nAnswer: 0.5, 0.2, 1\/127, -0.016, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by 115\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.1 times -1503?\nAnswer: -218085.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -19*i. Which is smaller: i or -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:36 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {n: 1, a: 5, f: 1, v: 3, y: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 10804855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -876, -1962, -3492, -5472, -7908?\nAnswer: -10806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-21)*1\/(20\/21360*4)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*m - 378*m - 407*m + 1538*m - 389*m.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/12 - (-5715)\/(-508).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -316. What is n in -30*n - 270 + 122 - v*n**3 - 18*n**2 + 134 = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(3 - 4) + 0\/4. Which is the nearest to 2\/3? (a) 1 (b) 4\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/(1\/(-2)). Let u = 430.4 - 526. Let t = u - -96. Which is the closest to 1? (a) t (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 3, 0.08, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15545346*k**2 + 1681*k + 661 wrt k?\nAnswer: 31090692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -97002*f**3 - 2*f**2 + f - 1. Let j(x) = -194004*x**3 - 4*x**2 + 3*x - 2. Let h(c) = 2*j(c) - 5*q(c). Let g be h(-1). Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43\/(3\/((-3)\/(-1))). Let b = x - 42. Let h(z) = z**3 - z**2 - z. Let s(y) = -4*y**3 + 5*y**2 + 8*y - 1. Let l(g) = 6*h(g) + s(g). What is l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/6 + -2)*30\/4. Suppose 5*y = -m*j + 220, 5*j = 3*y - 87 - 5. Is 23*y*(-7)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + 8*o - 5. Suppose 4*l - l - 18 = 0. Let a be f(l). Let b(c) = -2*c + 8. Calculate b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880600270.\nAnswer: 2, 5, 11, 61, 263, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:45 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390215.9 kilometers to millimeters.\nAnswer: 390215900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15445636.\nAnswer: 2, 83, 46523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1171 or -1?\nAnswer: -1\/1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by -10\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*a**3\/11 + 7044558*a**2\/11 - 1761140*a\/11 = 0. What is a?\nAnswer: -880570, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 91*u**3 - 1.\nAnswer: 91*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -244, -247, -242, -223, -184, -119?\n\"Answer: u**3 - 2*u**2 - 4*u - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1168 by 90964.\nAnswer: -292\/22741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13405 = 37*k + 17105 for k.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610705980.\nAnswer: 2, 3, 5, 19, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -287968186655 take away 91?\nAnswer: -287968186746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333640*c - 334203*c = 39410 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28216, -32114, -36012, -39910?\nAnswer: -43808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3096, 3160, 3268, 3420?\n\"Answer: 22*i**2 - 2*i + 3076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2520 by -105.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6595883, -6595873, -6595865, -6595859, -6595855, -6595853?\n\"Answer: -f**2 + 13*f - 6595895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let p(v) = -614*v. Calculate r(p(j)).\nAnswer: -614*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + k - 3. Let u be t(4). Let d be ((-6)\/u)\/(3\/(-9)). What is the biggest value in -2\/7, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 882a + 85?\nAnswer: 88b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**2 + 2*g**2 + 0*g**2)*(1 - 1 - 2*g) - 4*g**3 + 4*g**3 + 3*g**3)*(-2*g + 2*g + 2*g)*(12*g - 2*g - 4*g).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 60*s - 55*s = 30, 10 = -m + 5*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m - 8. Calculate the remainder when 39 is divided by r(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 - 3*z - 9. Let r be k(-9). Suppose 0 = -3*l + 8*l - 3*g - 225, 0 = -4*l + 2*g + r. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1252900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -35. Suppose -5*w - 5 + 20 = 0. What is the lowest common multiple of w and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5020 = -b, -16*y + 16*y = -5*b. What is the remainder when y is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-20) - 4)*13\/(572\/(-55))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 7052 + 11699. List the prime factors of d.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z = -196*z - 417 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 3*q + 3. Suppose -4*c + 0*c + 610 = s, -2*s + 460 = 3*c. Let y be 16\/c - 370\/(-95). Give f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-105))\/(102\/765)*-3)\/((-3)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 18. Let c(x) = 0 - 4 - d*x + 12*x**3 - 13*x**3 + 3 + 7*x**2. Determine c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*u = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 4*z + 6. Let a be u(-5). Let h = -65 + 81. Differentiate a*l**2 - 11*l**4 - 4*l**4 - h - 86*l**2 with respect to l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*j = 4*l - 12, -2 = 4*l + 5*j. Suppose 0 = q - l*i + 934, 5*q = 2*q + 2*i - 2794. Does 30 divide ((-28)\/(-35))\/(-1 - 934\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2307166 - n + 2307166. Let y(r) = 84*r**2. What is s(y(o))?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 v when four letters picked without replacement from vfvvfvvvff.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(-19*o + 11*o + 12*o)*(o + 1 + 3*o - o) to a*o**2 + t*o + n and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 433 - 432.5. Put 16\/9, -0.5, 5, q in decreasing order.\nAnswer: 5, 16\/9, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 88 = -u, -3*u = 2*s + 2*s - 244. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/360 + 113*l**5\/180 + 1045*l**4\/24 - 361*l**3\/2 - l**2 - 24*l. Factor y(z).\nAnswer: (z - 1)*(z + 57)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974133?\nAnswer: 3, 109, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286 - -39. Let z = -1731\/7 - a. Let x = -7 + 11. Put z, x, -2 in decreasing order.\nAnswer: x, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -5. Suppose 0 = -2*u + k*u. Suppose 9 = m - u*m. What is the remainder when 16 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3491 (base 14) to base 9.\nAnswer: -1736860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170867 + -170865. What is m in -2\/3*m**3 + x*m + 0*m**2 - 4\/3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(3*r**2 + r**2 - 2*r**2) + 83*r**3 - 86*r**3 + 3 + 9.\nAnswer: -5*r**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 2, z: 2, n: 1}. What is prob of sequence vnz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 241324104 (base 5) to base 16\nAnswer: 111911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069203607 to six decimal places.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/20)\/((-3)\/7). Let o = h + -5\/4. Let j = -10 + 7. What is the closest to o in -2\/7, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5)\/(-4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33705*2046.\nAnswer: -689.6043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 8 = -2*d, 0*d + 4*f = -3*d - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20355.\nAnswer: 3, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -0.09. Let k = -0.16 - s. Sort 0.5, 0.3, k.\nAnswer: k, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -103, -5, 8, -3, 3 in ascending order.\nAnswer: -103, -5, -3, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 552568657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4555 by 1640.\nAnswer: 911\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*s + 7*s - 2*j, 4*j = -5*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 2\/39, 11, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165529444 bigger than 165529444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 3.\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42305.54059 less than 0.05?\nAnswer: -42305.49059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:32 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4356*i**3 + 1477*i**2 wrt i.\nAnswer: 26136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 5, b: 7, v: 1}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 1. Let n(z) = z**3 + 2*z**2 + 2. Let h(r) = n(r) + 2*v(r). Let t be h(2). Let g = t - -4. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 4. Let w be d(5). Suppose 2*u = 2*q - 43 + w, 3*q = -2*u + 51. Factor 2*h**5 - 105*h**3 + 96*h**2 - 6*h**5 - 36*h + q*h**3 + 32*h**4.\nAnswer: -4*h*(h - 3)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:04 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0182 * -36\nAnswer: -0.6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25401.5 - 25402. Let n be (-51)\/9 + (-2)\/(-3). What is the smallest value in 0.5, 0.3, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -486\/3037 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*k + 4, 5*r - 4 = -4*k + 2*k. Suppose -7 = -k*p + p. Let s(i) = i - 1. What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*d**3*l**3 - d**3*l**2*n + 3*d**3*l + 2*d**2*l + 87*d**2*n + 150*d*l**3*n + 1 wrt l?\nAnswer: 1026*d**3 + 900*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37b (base 16) to base 2\nAnswer: 1101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2. Let t(g) = g**2 - 2559071. Calculate t(v(l)).\nAnswer: 16*l**4 - 2559071","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3737741 and 2135852?\nAnswer: 14950964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -131 in 1\/3, 0.7, 23934?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 273*h + 0 + 0.\nAnswer: 273*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104121 - 34446?\nAnswer: -141600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 9*b**2 - 2*b + 3. Let r(m) = -21*m**3 - 38*m**2 + 9*m - 11. What is 9*p(l) + 2*r(l)?\nAnswer: 3*l**3 + 5*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/7 (b) 5 (c) 1\/2 (d) -53\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 23.5. Let y = 0.09 + -4.09. Which is the nearest to -4? (a) y (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 165?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/4 + 4\/(-2). Let y = i + -7. Calculate the greatest common factor of 22 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - p + 2*p + 3*p - 3*p + (-1 - 3 + 2)*(0*p - 3*p + 0*p) - 2*p + p - p)*(-7 + 2*p + 7 + (4*p - 5*p + 3*p)*(-3 - 3 + 3) + 0 + 0 + 5*p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 16) in base 10?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*y - 49 = -r, 0 = r - 5*y - 57. Let o = r - 10. What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:48 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.004, 1\/2, 0.4?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140424 (base 6) in base 12?\nAnswer: -2a714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 8*y - 2. Let a be u(6). Suppose -z - 5*g + a = 0, g = -z + 6*z - 50. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194028474.\nAnswer: 2, 3, 101, 320179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -189. What is the third biggest value in -442, g, -3?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxpx when four letters picked without replacement from {p: 1, x: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12210 divided by -10\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdygdgggdgggydyggddy. What is prob of sequence gd?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23934 is divided by 1330?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + d**3\/4 + d**2 - d.\nAnswer: -d*(d - 2)*(d - 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*z - o, o = -2*z - 2*o + 114. Suppose j - q = -0*q + 32, 4*q = -2*j + 64. What is the remainder when z is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 2 (b) 2\/385 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1539) + (sqrt(1539) - 2*sqrt(1539) - sqrt(1539)) - (0 + sqrt(19) + -1)) + -2)**2 - (5*sqrt(171)\/(sqrt(54)\/(2*sqrt(6))))**2).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -80 - 22. Let g = t - 34. Let i(y) = y**3 - 2*y**2 + 2*y - 3. Let x be i(2). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 13) in base 4?\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a542 - -78a?\nAnswer: -9863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1499*d + 15 - 74 - 1523*d - 39 as t*d + a and give a.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.07 - -0.07. Let s = -9\/4 + 2. Sort s, -0.3, q in increasing order.\nAnswer: q, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*l**6 + 4*l**2 - 193 + 0*l**2 + 193 wrt l?\nAnswer: 1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 + 6*z + 6. Let u(a) = -a**2 + a + 1. Let p(o) = -6*u(o) + x(o). Let c(v) = 3 + 3*v - 3. Give c(p(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42520115?\nAnswer: 5, 11, 773093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 2*z + 581 + 945 + z**2 + 2*z.\nAnswer: z**2 + 1526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 71*j**2 + 204*j - 4230. Give k(73).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3683 + -3718 - 1433\/(-41).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 1 i when three letters picked without replacement from rfqfjrzrifjrif?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 + 2*i**2 - i - 2. Let f be ((-6)\/4)\/((-12)\/48). Suppose 6 + 6 = -f*n. What is the tens digit of q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/6)\/(1\/14). Which is the nearest to f? (a) -0.1 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*d + 3)*(-4 + 4 + 1) - d + d - 2*d + (-6 + 3 - 1)*(3*d + 0*d + 0*d) to the form y + p*d and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69939*j**4*k - 2133*j**4*u - 13*j**2*k*u + 30*j**2*k + 1414*j**2 + u wrt j?\nAnswer: -1678536*j*k - 51192*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131306444 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4619*p**2 + 3. Let u(j) = -4*j. Determine t(u(s)).\nAnswer: 73904*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771882 + -771880. Factor 36\/5*a - 32\/5 - 4\/5*a**v.\nAnswer: -4*(a - 8)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/3 - 1279*m**2 + 30865*m\/3 + 134575 = 0. Calculate m.\nAnswer: -3845, -7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -32 - 10*s - s**2 + 20 - s. Let a = -4 - 5. Does 3 divide y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 914940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*f - 388, -4*f + 130 + 6 = 2*z. What is the greatest common factor of 4720 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Suppose -5*x - 3*z + 38 = s, 2*x - z - 5 - 8 = 0. Suppose -v - x = -20. What is the highest common factor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 5*z + 27, -15*h + 12*z = -13*h + h + 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9392.1 take away 342?\nAnswer: 9050.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbn when three letters picked without replacement from tnbtbtntzntb?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17.26285 meters?\nAnswer: 17262850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1, -18, 10, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 3*v**2 + 4. Let w be x(-3). Let n(g) = -5 + 6*g + 3 + 3 + 2*g**2 - g**3 - 2. Calculate n(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 57 = -47. Let r be ((-4723)\/o)\/((-13)\/(86060\/2516712)). Let l = -3\/19066 - r. Find the common denominator of 88\/21 and l.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -3, 36286, 4 in decreasing order.\nAnswer: 36286, 10, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.076 and -17641.51.\nAnswer: -1340.75476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 21*p**2 - 20*p + 4. Let d be i(20). Let n be (-190)\/4 + 2 + 6\/d. Let o be (-32)\/(-18) - (1 - n\/(-36)). Solve o + 2 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:46 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278024.\nAnswer: 2, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + f + 0*f)*(3*f + 0*f - 2*f) - 7*f**2 + 16*f**2 + 2 - 6*f**2 + (0*f + 2*f - 3*f)*(2*f - 3 + 3).\nAnswer: -4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*1 + -4)**2*-4 + 2 + 1.\nAnswer: -5569 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 454 - 450.9. Let o = w - 3.12042. Round o to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88910290439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00447185 rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8617334 - 113?\nAnswer: 8617221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 20*q**2 + 155*q - 2810. Give z(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**2*q*q)**(-4))**(-2\/57))**42)**2 assuming q is positive.\nAnswer: q**(1120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1892 + 3554. List the prime factors of f.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 - 4*r - 8. Let u = 16 + -10. Calculate the smallest common multiple of p(u) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -793862.\nAnswer: -1\/396931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 48 - 48 - u. Let z(f) = 3*f - 3*f - 3*f. Determine s(z(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1001 and -0.943.\nAnswer: 1000.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.7 - -5.7. Let i = 3226 - 3212.07. Let n = 14 - i. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Suppose -20 = 66*i - 64*i. Calculate f(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0217383 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3842?\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/(32\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.699102396 to two dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2. Let c(y) = 19*y**2 - y + 14. Determine -c(r) + 6*m(r).\nAnswer: -r**2 + r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26786 and -190.008?\nAnswer: 26595.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:07 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 8 + -8 + (-1 - -8) + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 305 and 72?\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285489 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2168144 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 19*c + 38. Let o be f(-18). Suppose -80 = 25*y - o*y. Let u(k) = 3*k**2 + 16*k - 25. Is u(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-2) + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 1\/60*d**5 + 6*d + d**2 - 1\/3*d**3 + 0 + 1\/24*d**4. Let p(g) be the first derivative of n(g). Factor p(r).\nAnswer: (r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-19)\/((-3553)\/102).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 82*a + 10. Let g(o) = 40*o + 4. Give 15*g(m) - 6*s(m).\nAnswer: 108*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 5*n, 3*n = 4*k - 14. Solve k*s - 26 = z - 5, -s = -5*z - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(8 + -2) + ((-14)\/(-7) - -79). Factor -9*n**2 + v*n - 243 + 1\/3*n**3.\nAnswer: (n - 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/40)\/((-2)\/(-20)). Solve -h + 2 = -y, y - q*h + 8 = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 + 6*c + 8*c - 17*c - 727 + 4*c.\nAnswer: c - 528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245321475 + 2?\nAnswer: -245321473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 42. What is the least common multiple of x and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115990 * 0.05819\nAnswer: 6749.4581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 30*u**2 - 134*u - 9. Let i be d(8). Which is greater: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89.5? (a) -2 (b) -0.3 (c) 0.4 (d) -6 (e) 175 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-225))\/((-4)\/(-10)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22.75 * -0.13\nAnswer: -2.9575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3781, 7563, 11345?\n\"Answer: 3782*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32851 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 146485769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -154*z + 12. Let y(r) = 1385*r - 110. Let n(u) = -55*c(u) - 6*y(u). Let k(q) = -2*q. Give k(n(w)).\nAnswer: -320*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsrscltslrltc. Give prob of picking 1 l and 2 s.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(38)\/sqrt(2) - (-1 + sqrt(475)).\nAnswer: -11*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000072918 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(833) + 1*(sqrt(833) - (sqrt(833) - -3*sqrt(833))) - -2*(sqrt(833) + 0))*4 + 4)**2 + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(18\/13)*o)\/(o\/(o\/o**(-8\/5)*o*o)) assuming o is positive.\nAnswer: o**(389\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1702 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 387?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, v: 5}. What is prob of sequence vfv?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*p = -o - 2*p + 2 + 3, -13*p - 10 = -16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22492651 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -16*o - 49. Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 45 + 51. Let j(y) = y - 2. Let u be j(6). Calculate the common denominator of 13\/8 and 6\/u*4\/c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s. Let v be (-176)\/(-14) - (-36)\/(-63). Suppose 0 - v = -4*b. Let n(i) = 6*i**2 + 3*i + 1. Let r(y) = b*g(y) - n(y). Differentiate r(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1497108.51.\nAnswer: -598843.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 239, 159, 7, -241?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/371770 and -47\/5085.\nAnswer: 3345930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c + 4. Suppose -2*j = -3*j - c. Calculate the common denominator of 31\/14 and 1265\/(-240) - 1\/j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/24 and (-1)\/(-6) - 2645\/23736.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3cc - -12?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 + 1)*(-2*k - 4*k + 4*k)*(-4 + 4 + 4)*(-4 - 4 + 6)*(4 - 4 - 1)*(2*k + 5*k - 6*k) to q + c*k + n*k**2 and give n.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**3 + 3*n**2 - 5*n - 5. Let z(u) = -3*u**3 - 2*u**2 + 2*u + 2. Give 2*s(g) + 5*z(g).\nAnswer: -g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.76 - 0.94. Let u = z - -51.18. What is the nearest to 0 in 0.4, u, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526504 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: What is 528137 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: Let m(g) = g**3 + 6*g**2 + 6*g + 2. Calculate m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 4*t**2)*(5 + 6 + 5) + 2*t**2 + 4 - 4.\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let c(x) = -17*x + 2. Determine c(l(z)).\nAnswer: 34*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 12*m - 14. Let s be h(11). Suppose 3*d = -0*d + 15. Let i = s + d. Solve -b - i = 2*o - 12, 4*o - 8 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2640462 and 726.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*h**3*p + 247*b*h*i*p - 185044*b*h + 2*b*i**2 + 8*h**3*i**2 wrt i.\nAnswer: 247*b*h*p + 4*b*i + 16*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b = 650 - 530 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 426 = 3*o, -4*o - 790 = -5*n + 289. Let u = 1749\/8 - n. Is 25 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573388780 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26002813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3011 (base 6) to base 2.\nAnswer: -1010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0 + 0*u**3 + 0*u**6 - u + 0*u**5 + 1\/14*u**7 + 1\/4*u**4 + 0*u**2. What is the third derivative of d(j) wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87481 at most 87506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {u: 2, y: 2, o: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -141*m. Let f(o) = 34103*o. Determine s(f(i)).\nAnswer: -4808523*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10611.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**3 + 7*x**2 + 6*x - 1. Let o be a(-1). Solve o + 8 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612788566.\nAnswer: 2, 13, 67, 351773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -19, -40, -67, -100?\n\"Answer: -3*c**2 - 6*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, f: 1}. What is prob of sequence qqq?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4\/4 + 31*a**3\/4 + 9*a**2 = 0?\nAnswer: -9, -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -6, -2*r + 2 = -3*k. Solve 2 = -i + 5*z - 2, 0 = 2*i - k*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3118628 and -0.268915397?\nAnswer: 3118627.731084603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/6 - (0 + 1). Let x = f - -11. Calculate the least common multiple of x and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -943, -3138, -6811, -11974, -18639, -26818, -36523, -47766?\n\"Answer: -2*q**3 - 727*q**2 - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)\/(-15 - 541\/(-36)). Solve 0 - b = -6*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-15)\/40*(-8)\/3. Calculate the greatest common factor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1191581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o - 3. Let n be d(-4). Let y be 20\/(-6)*(-6)\/5. What are the prime factors of (-141)\/n + y\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 + 1099928*u - 75615100324 = 0 for u.\nAnswer: 137491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*i - 7736 = 0, -228*f + 2*i + 5154 = -226*f. Calculate the remainder when f is divided by 2554.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8665, -17336, -26011, -34690?\n\"Answer: -2*u**2 - 8665*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 55 = h. Let z = 27 + 23. Calculate the smallest common multiple of (-14)\/(-10) - (-380)\/z and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*t + 16353 - 5432 = -200*t - 26167 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254984759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.522254 kilograms to tonnes.\nAnswer: 0.006522254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 63*v**2 + 39525 - 39525.\nAnswer: 63*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41731815 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 188282162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12285521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 187340960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l + 11*l + 15*l + 11*l + 6*l.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*v - 0 + 8, -5*w - 1 = 2*v. Let r = -1 + w. What is the remainder when 1\/(-1) - r - -36 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*p**3*s + 2*p**2*s + 2*p**2 + p*s - 2240*p wrt p.\nAnswer: 630*p*s + 4*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 145814286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3240)\/3888)\/((-23)\/(-12) + -2). Solve -5*y + 3*j = o - 30, 0 = -2*y + j + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 997160 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -15 (b) -0.5 (c) 0 (d) -0.2 (e) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 140 = 4*u, -3*u = 2*u + 4*p - 170. Suppose -5*d + 4*o + u = 0, 2*o + 4 = -d - 4. What are the prime factors of (4 - d)*-1 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from ojrprrkrjjrjjrrjj?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 50, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-271 - 1628 + 16465 + 8343 - 394)*(1 - 1 - u).\nAnswer: -22515*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 - c**3\/3 - c**2\/2 - 15*c - 1. Let y(t) = -t**2 + 34*t - 93. Let k be y(3). Calculate n(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 0. Let v(t) be the first derivative of 0*t + n*t**4 + 0*t**2 + 0*t**5 + 3 - 2\/3*t**6 + 4\/3*t**3. What is the third derivative of v(h) wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4279573 is divided by 8090.\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4373*c**3 - 31*c**3 + 15612*c**3.\nAnswer: 19954*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46841 + 234277\/5. Factor -r - 1\/5*j**3 + 2*j**2 - 12\/5*j.\nAnswer: -(j - 6)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/60 + v**4\/3 + 3*v**3\/2 + 3*v**2. Let m be o(-7). Suppose -m = 2*z - 0. Sort -3, z, 1 in decreasing order.\nAnswer: 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s. Give o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/21 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.75 + -19.35. Put j, -4\/7, -0.446 in increasing order.\nAnswer: -4\/7, -0.446, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.31, 3\/7, 1, -1\/3, 2\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = h + n, -2*n + 9 = -5*n. Let k be -12 - (-88)\/22 - (-1 + 1). Sort h, 4, k.\nAnswer: k, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 24300913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. Let g = 4 - 7. Let o be j(g). Let i(a) = -14*a**3 - a**2 + 4*a + 3. Is i(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 61949.13\nAnswer: -61944.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13856560387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:28 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.000382 + -25. Round g to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j*j**(-1)*j)))\/j*j)**(-31)\/(j**(-2\/3)*j)**(-49))\/((j**(-1\/4))**11\/((j\/j**(1\/4))\/(j**(-4)\/j))) assuming j is positive.\nAnswer: j**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19*h + 6. Let s be z(10). Let a = -64 - s. Suppose -p + 6*p - a = 0. Calculate the least common multiple of 20 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80315444 and 51109828.\nAnswer: 562208108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 55451453 (base 6) to base 3\nAnswer: 10010220002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5 + 89*f - 90*f + 7. Let l(q) = 2. Let z(p) = b(p) - 6*l(p). Let r(j) = 2*j + 86. What is z(r(x))?\nAnswer: -2*x - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1. Let v(b) = 2*b + 4. Determine -c(g) - v(g).\nAnswer: -2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1235115 and 2614.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**4\/5 + 3946188*j**3\/5 = 0.\nAnswer: -1315396, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(931) + 1)*-2*2 - (((sqrt(114)\/sqrt(3))\/sqrt(2) + sqrt(19))*3 + -2*(sqrt(931) + 0) + sqrt(931)))**2.\nAnswer: 108*sqrt(19) + 13855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*m - 17 = 2*m, 0 = 2*g + 2*m - 10. Let j(w) = -76*w + 116. Let h be j(g). Which is smaller: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4505 and -4613 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1645 and 80276705?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17160 and 2043912?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/21*(-3633)\/1038.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/1)\/(0 + 3\/(-9)). Suppose -50*a = -f*a - 20. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 + 351*q**2 - 34*q - 7280. What is m(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112 - -10?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from aaaaaaaaaaaaaaaaqqaa.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(((-1617)\/(-12))\/(-11))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 773\/29285 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 4*p. Let s(b) be the second derivative of -7*b**4\/12 + 3*b**3\/2 - 2*b. Determine 9*a(r) + 4*s(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -32*o**2 - 705*o - 11032. Give k(-15).\nAnswer: -7657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 4033607?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 + 4*a**2 - 4*a + 4. Let x(n) = 5*n**2 + n - 2. Let j be x(1). Let y be m(j). Let c = y - -611. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by 263318\nAnswer: -111\/263318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9643*z + 120 = -9658*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*v**3 + 2*v**2 - 94*v**3 - 2*v**2 - 389 + 98 in the form t + m*v + x*v**3 + l*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8331 + 6148 = -320*l + 5519 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6708.114kg in grams?\nAnswer: 6708114","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 9. Suppose -d + 7 = -2*g - 4, -5*g - z = 3*d. Put g, 4, 2 in ascending order.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22638 and 1176?\nAnswer: 90552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y**3 - 27*y + 27*y)*(2 + 0 - 1) + 76*y**3 + 34*y**3 - 147*y**3 to the form g*y + f + r*y**2 + a*y**3 and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101602 = 14205*g + 166011 + 201245 + 198777 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 163 - 81 - 754*t**2 + 211*t**2 - 82 in the form f + l*t + o*t**2 and give o.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -15*b**2 + 6. Let l = -375 + 380. Let w(g) = -12*g**2 + 5. Let j(x) = l*o(x) - 6*w(x). Let y(h) = -h**2 - 14*h. What is y(j(c))?\nAnswer: -9*c**4 + 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1170 divide 17532450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(8\/(-10) - 0). Suppose b*l - 33 = 63. Calculate the highest common factor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 + 3*t**2\/2 - 3*t + 186. Suppose -4*m = -3*o + 9, 0 = -3*m - o + 4 - 27. Determine z(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.041692 and 0.4656?\nAnswer: 0.507292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296330 is divided by 32919?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80)*4 + sqrt(5) - sqrt(5)) + -2 + ((sqrt(50) + sqrt(800))*5)\/(-2*sqrt(640)))**2.\nAnswer: 1049*sqrt(5)\/4 + 5503029\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.28. Let v = 95.26 + -96. Let q = r - v. Sort -4, 3\/2, q.\nAnswer: -4, q, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4))\/sqrt(2) - (sqrt(567) - (sqrt(567) - (4 + sqrt(567))))**2.\nAnswer: -583 - 71*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -17*d - 484. Calculate the smallest common multiple of 1170 and c(-29).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 2*x - 627*x**3 - 2 + 615*x**3 in the form c*x**2 + p*x + i*x**3 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)\/(n\/(n**6\/n))*(n**0*n)**45 assuming n is positive.\nAnswer: n**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*g - 5 + 6*g**2 - 4*g**2 to the form q + v*g**2 + i*g and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/45*(345\/(-75) + 13)*(-9 - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkunfzzkfzzkfuufkfuu. Give prob of picking 1 f, 1 k, and 2 u.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 72 - 39. Let l = -2 - -7. What is the remainder when l is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14563*v - 14570*v + 12*v**3 - 940*v**2 + 29132*v + 107*v**2 in the form m*v**3 + p*v + f*v**2 + u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 14*w**3 + 11*w**2 - 420*w - 900.\nAnswer: -(w - 10)**2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19731528.2 rounded to the nearest one hundred thousand?\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2438?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**12*z)\/z*z)*z)\/((z*z**(1\/16))\/z*z)*(z**14)**(-4) assuming z is positive.\nAnswer: z**(-1089\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17343842, 34687681, 52031516, 69375347, 86719174?\n\"Answer: -2*d**2 + 17343845*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 11 - (0 + -2 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 + 48*p - 48*p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 - 1408957.\nAnswer: -1408915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 12*m - 3. Suppose 4*w + w = 70. Suppose -3*u = 2*l - w, -5*u + 3*l - 5*l = -30. Is x(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 42620945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 240*j + 2920. Determine b(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g - 6. Let p be i(3). Let n = -0.11 - -0.11. Let s = 127.7 + -128. What is the closest to n in s, p, 1\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18103658?\nAnswer: 2, 1619, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + (7 - (20 + (-4 - 4)))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -912*p - 8616 + 14088 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/228 - (-1)\/4)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 - 167*m**3 - m**2 - 501*m - 49450949.\nAnswer: 8*m**3 - 501*m**2 - 2*m - 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 22*z + 130 + 27*z - 1 + 2. Is 87 a factor of j(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237786503*y**3 + 168101639*y**2?\nAnswer: 1426719018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Let z be 2 + (-3 - (1 + n)). Let j(d) = d. Let g(m) = -m. Suppose 151 = -27*p + 178. What is p*g(b) + z*j(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 316*y - 2203. Let v be r(7). Sort 1, v, 0, -5, 3 in decreasing order.\nAnswer: v, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8686414 is divided by 306.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/799 - 2598\/53533. Let a = s - -155\/469. Let z = -16 - -15.4. Sort -2\/9, a, z, 0.5 in ascending order.\nAnswer: z, -2\/9, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3348817565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -22769, -3\/4, 5 in descending order.\nAnswer: 28, 5, -3\/4, -22769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628 + 3*x**3 + 2*x**3 + 138 + x**3 + 140 + 350.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/33813 and 79\/37570?\nAnswer: 338130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-16)\/16)\/((-1)\/(-20)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(19)*4 + sqrt(76) + -1)**2.\nAnswer: -20*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.047 - 0.048. Let h = 3.095 + k. Put h, 13, 0.1 in decreasing order.\nAnswer: 13, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f2 + b?\nAnswer: fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2094648 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2035*u + 5341*u + 2 - 2.\nAnswer: 3306*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 16*c - 1. Let n(o) = 24*o**2 - 15*o - 1. Determine -d(u) + n(u).\nAnswer: 23*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(0 + (-18)\/(-60)). Let w(c) = -c + 1 - 179*c**g - 1 + 2*c**2 + 180*c**3. What is w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 7*k + 8 = 0. Suppose k*x + 17*x = -0*x. Solve 7*v - v = x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-189) + 14905\/(-1155).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -108. Suppose a = 2*n + 3*n - 1880000. Round n to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (6 - ((10 - (0 + -4 - -2)) + -3))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 3*v - v + (5 - 4 - 3)*(-v + 3*v - 3*v) + (-3*v - 2*v + 3*v)*(33 - 3 - 1).\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1896)\/(-40) + -42)*(-20)\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445962476 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hddh when four letters picked without replacement from {h: 5, t: 2, z: 7, d: 4}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1181*w + 62*w - 9052 + 47585 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {y: 6, h: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and -43\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 268432 divided by 67108?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146244*r**4 + 187570*r**2.\nAnswer: -3509856*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -408 + 2130. What is the hundreds digit of (-8 + g\/(-8))\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*n + 5*m, -4*n - m + 23 = -9. Let t = -17 + n. Let x be t\/10 + 6\/10. Which is smaller: -2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71613899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c**2 + 9*c + 9. What is q(4)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15049 + -15046. Solve 2*c + t = -7, 3 = c + b*t + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*1 + sqrt(24))\/(sqrt(32)\/sqrt(4)*-6) + -1 - 6*((sqrt(3) - -6*sqrt(27)) + 2 + 3)**2.\nAnswer: -6649 - 2281*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d**3 + d**2 - 2*d + 2. Let i be y(2). Suppose 0 = -7*r - i + 454. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 2*k. Let i be r(-2). Let l(u) = i - 5 - 2*u + 0. Is l(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**3*w**2 - 3*g**3 - 2*g**2*w**3 + 61*g*w**2 - 4*w**3 wrt g?\nAnswer: 36*g*w**2 - 18*g - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 445 - 436. Let s(j) be the first derivative of j**4\/4 - 3*j**3 + 7*j + 4. Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.86 times -430361\nAnswer: -370110.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 44, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27737, -55771, -84415, -113975, -144757, -177067, -211211, -247495?\nAnswer: -286225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 9632 = 2*n - 9644, 10 = 4*n + 3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(5040) - (sqrt(5040) - (sqrt(5040) + sqrt(5040)*-4 - sqrt(5040)))))\/sqrt(7) + -2 + -4 + sqrt(30)\/sqrt(6).\nAnswer: -6 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 18. Let f be p(-14). Let v(l) = -l**3 - 4*l**2 + l + 2. Let i be v(f). Put -12, 1, i in descending order.\nAnswer: 1, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 175 - 2*x**2 + 60*x**3 + 4*x**2 + 387 - 195 in the form v + k*x**3 + a*x**2 + i*x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/46923585 and -65\/666.\nAnswer: 281541510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6089 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 2*j - 50, -2*r + 5*j + 21 = 0. Solve 5*v + 12 = -r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -31 - 3*k - 2 + 5*k + 5*k. Let b be y(15). What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(24660\/480 - 44).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*(-1 - -6). Let c = 1 + h. Let w be 0*((-3)\/9)\/(-1). Solve -c*y - y + 12 = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, 336, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -g + 25, 6*g - 2*g = -4*i + 92. Suppose 0 = 27*o - g*o - 366. What are the prime factors of o?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -33. Calculate the greatest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84599779.9 rounded to the nearest one million?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67528?\nAnswer: 2, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 5892*w - 287 + 5892*w to the form q*w**2 + o*w + i and give i.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/150 and -111\/12531200?\nAnswer: 37593600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-516)\/(-645))\/((-16)\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 8 - 44. Suppose -5*w - 3*o = -85, 4*w + w = 5*o + 85. What is the remainder when w is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 331797069 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 1 - 3*y**3 + 2*y + 0*y**3 + 3*y**3 in the form j*y**3 + w*y**2 + t + i*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**5*s*s\/(s*s\/(s**(-7)*s))*s**(-4)\/s*s**(-8)*((s*s**1)**24)**(-3\/17) assuming s is positive.\nAnswer: s**(-365\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 d, and 1 i when four letters picked without replacement from ioggd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 817683 times 7\nAnswer: 5723781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b67 + 1a?\nAnswer: -2b4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 817*r**3 + 13*r + 11*r - 39*r.\nAnswer: 817*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 189 + 256 + 307)*(-z + 0 - 4 + 3).\nAnswer: -681*z - 681","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/312856 and 149\/24?\nAnswer: 938568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 48772110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.87 to 0 decimal places.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3372 = 3*w, -i = -64*w + 66*w - 1119. List the prime factors of i.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*p - 3*p**3 - 6787*p**2 + 6787*p**2 wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*o**3 + 2*o**2 + 26452*o - 26452*o to the form q*o + k*o**3 + n*o**2 + d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904701 is divided by 646?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*k + 2*z - 415 + 431 = 0, -k - 5 = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + 1.1. Let p = -4.2 + y. Let m = -3.5 - p. Which is the biggest value? (a) m (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1102.\nAnswer: -3306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*n - 1, 0*t + 2*t - 9 = -3*n. Suppose -4*l = 5*h - l - t, -4*h + 2*l + 20 = 0. What is the units digit of h*((-15)\/(-9) - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 2*h + 5*h**2 - 6*h + 7*h**2 to a*h**2 + v + f*h and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 13 = -3. Let l be 21\/(-7) + 151\/n. What is the greatest common factor of l and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.1. Let v be (-5)\/110*-4 + (-36)\/77. Let t = 116 - 810\/7. What is the third biggest value in t, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 97724429 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3719 + 3646 = 347*q - 138*q + 1095 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -524 and 0.56?\nAnswer: -293.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 44. Let m = i + 24. Let l = 3 - 1. Solve 0*s = m*q + l*s + 6, 2*q = -3*s - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/m**(-1\/8))\/m*m*m*m**0)\/(m*m**1)**(-33)*(m\/(m*m*m**(-1\/2))*m)**36*(m*m**(-6))\/((m*m*((m*m*m**0\/m)\/m*m)\/m*m*m)\/m) assuming m is positive.\nAnswer: m**(641\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-2 - -3 - -457). Suppose 0 = -5*k + 3*k + p. What is the tens digit of k\/16 - 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-7)\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 1:27 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4659 + 4626. Is -39 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15500017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(9\/3))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.604 rounded to zero decimal places?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4\/3, 0.17312, 0.3, -0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouuoju. Give prob of sequence ujo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + o**2 - 2*o**2 + (2*o - 1 + 1)*(-2 + 2*o + 2) + 2*o**2 - o + o - 34373 - 334*o**2 + 34373.\nAnswer: -325*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*w - 38, 3*v - 15*w = -17*w - 3. Let y be ((-8)\/(-6))\/((-2)\/(-6)). Let t be -5*((-3)\/((-6)\/y))\/v. Solve i + 1 = t*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 9. Determine q(-17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 13*z - 213. Let g(j) = -2*j**2 - 25*j - 498. Let i(s) = -3*g(s) + 7*p(s). What is i(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 5:57 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 + 3*u + 6. Let v(j) = -j - 2. Let z(k) = -b(k) - 3*v(k). Let m(h) = 95*h. Calculate z(m(d)).\nAnswer: -45125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - ((sqrt(270) - sqrt(30))*2 - sqrt(30))) + sqrt(30))\/(sqrt(150) - -2*sqrt(150)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*(-9)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -42085684.\nAnswer: 5\/42085684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -27. Suppose 5*m - b*u + 3 = -2, 10 = -2*u. Let a(j) = -j**2 - 10*j - 8. Give a(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17)\/((d\/(d\/d**(-2\/11)))\/d*d))**(-6\/17) assuming d is positive.\nAnswer: d**(-72\/3179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -21693.74475 to the nearest 10.\nAnswer: -21690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*192\/(-11232) - (-40)\/315?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124942 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**2 - 13 + 5\/4*a**4 + 0*a + 5\/3*a**3. Factor c(u).\nAnswer: 5*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298480612*n**6 + 14*n**2 - 46*n + 18910 wrt n?\nAnswer: -35817673440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a - 2?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/12)\/((-10)\/(-6)). Let b = -58 - -57. What is the smallest value in 4, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192 and 2?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c**2 - 11*c - 25. Calculate the remainder when 30\/(7\/(-4)*36\/(-42)) is divided by f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21 + 2*c + 35*c**5 + 30*c**5 + 9*c**5 - 13*c**5 wrt c?\nAnswer: 1220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 - (0 + 3 + -2). Let v(n) = n**3 - 4*n**2 - 8*n + 5. Let d be v(5). Let j = d - -9. Put j, -5, z in descending order.\nAnswer: j, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do -2744525 and -2744525 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 30. Let b(g) = g + 39. Let x be b(-42). Let l be q + (-7 - (-6 - x)). Solve -6*v + 3*v = -l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 66*l**2 - l - 1. Let x = 3790 + -3791. Determine m(x).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 44. Let r be g(14). Which is greater: 5\/2 or r?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*h - 4*c, -23 + 0 = -h + 5*c. Put 2, h, -1 in ascending order.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*m = -20, 0*o = 2*o - 2*m. Let z = -2 + 5. Let n(w) = -3 + w**3 - 1 - 2*w**z - 4*w**2. Give n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 26\/3. Let q(r) = r**2 - 2*r - 1. Let v be q(2). What is the nearest to v in 2\/7, a, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63664438, -63664439, -63664440, -63664441, -63664442, -63664443?\n\"Answer: -s - 63664437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11498 + 11497. Let d = 0.1 - -0.3. Suppose 3*k + 6 = 6*k. What is the nearest to q in d, 3, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose 27 + 24 = r*b. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482118 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.1, -0.3, -2\/13.\nAnswer: -5\/3, -0.3, -2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -143288694 times 0.1\nAnswer: -14328869.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -4 (c) -25 (d) -19\/3 (e) 0.1 (f) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1283664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 2. Let f = d - 22. Suppose 11*u + 8 = 12*u. What is the least common multiple of f and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3066.62 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.53 + -174.47. Let z = 176 + u. Which is smaller: z or 25?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 3*g - 310 - 130 = 0, 0 = -2*d + g + 60 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40075871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/5 (b) 1\/2 (c) 43 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 427, 1408, 3311, 6442?\nAnswer: 11107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {n: 17, b: 2}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020860 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 12:17 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, l: 2, x: 2}. What is prob of sequence el?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 57. Suppose 0 = g*y - 12, 2*o = -o + 3*y - 3. Suppose -n - 4*b + 15 = 0, -5*n + 4 + 8 = -b. Solve o*c = -a - 3 + 2, n*a - 25 = 5*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.1 + -9.46. Let f = o - 0.64. Which is the nearest to -1? (a) f (b) -0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 934 - 931. Put 2, k, -131, -5 in increasing order.\nAnswer: -131, -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 10*c**4 + 4*c**4 - 3*c**4 wrt c?\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*c + 34*c + 21. Suppose 178 = c*v + 17. Let z = v + -19. Let h(w) = -4*w**2 - 6*w + 5. Let o(i) = 3*i**2 + 5*i - 4. Calculate z*h(m) + 5*o(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*-4 - 21. Suppose 3*t = 18*q - 14*q + 87, 3*q + 3*t + 60 = 0. Let z = y - q. Solve 4*l + 6 + z = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 435*b**3 - 6348*b**2 - 20096*b + 26880.\nAnswer: -(b - 1)*(b + 8)**2*(b + 420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -0.03, 10, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42151234 (base 6) to base 12\nAnswer: -4b251a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.04779.\nAnswer: 0.23895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4) + -2*6\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -57?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 5*t**4\/6 + 5*t**3\/3 + 5*t**2\/4 - 46*t - 57. Let p(k) be the first derivative of n(k). Suppose p(y) = 0. Calculate y.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 124. Calculate t(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 6*l - 147. Suppose -f + 2*t + l = -52, -3*f = -3*t - 261. Calculate the lowest common multiple of f and 15*3*2\/5.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30912 and 50232.\nAnswer: 401856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298641.\nAnswer: 3, 7, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, -11, -101, -223, -389, -611, -901?\n\"Answer: -2*f**3 + 2*f**2 - 62*f + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Let s = 7 - i. What is the closest to 1 in -1\/4, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/(171\/(-81) - -2). Let p(c) = -1. Let s(m) = -m - 13. Let v(a) = -p(a) - s(a). Determine v(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3373 is divided by 224.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 212. Suppose -4*i + 124 + z = 0. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.41041674 to one decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2940 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-16)\/(160\/(-15)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*z = -2, 0 = -k - 18*z + 15*z - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28111866 is divided by 77657.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 - -430. Suppose q = 11*q - h. Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 73 - (-3 + 2 + 4). Let g = 135 - o. Suppose 0*d - 5*d = -g. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-875)\/5*45\/30*(-4)\/6. Calculate the greatest common factor of v and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1810?\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3860 is divided by 1597.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -598 - -605 - (3 + 8\/((-8)\/9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3994*c + 3841*c + 7203*c - 861*c.\nAnswer: 14177*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.894 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8) - 2190\/(-4). Suppose 0 = 6*g - g - 1145. Let j = k - g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.118 * 5.1676.\nAnswer: -0.6097768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaageeee. What is prob of picking 1 g and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024.98 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 19?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13146 = -5*r - 4995, -3*r - 45400 = -5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -511, 4, -4, 0.19, -0.1 in decreasing order.\nAnswer: 4, 0.19, -0.1, -4, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*a - 48, 4*n - 16130*a - 168 = -16134*a for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7686 = -a, -17260 - 21200 = -5*a + p. Let k = -3718 + a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 148. Suppose 4*x - r = 4*u, 5*x = -u + 2*u + 118. What are the prime factors of (-6)\/9 - (-52)\/x*64?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2447 + 2449. Solve 9*y = 7*y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 9:19 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8680836 is divided by 3506?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3, -4*v + 4*q = -8 - 36. Let d(f) = -301*f**3 + 2*f**2 + 5*f + 3. Let w be d(-1). Let r = 321 - w. What is the greatest common divisor of r and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -451*j + 11027 - 12078 - 527*j - 119*j wrt j?\nAnswer: -1097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -2, 7, 0, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 38 - 118 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, -1.544, 4 in descending order.\nAnswer: 4, 3, -1.544, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155878 by 2.\nAnswer: -77939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -5, -3, 25, -8 in descending order.\nAnswer: 25, 15, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/11, -2\/3, -153087, -0.3, 2\/15, -6\/11, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100111?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 322\/(-12) + (-2)\/4. Let i = -27 - m. What is the nearest to i in -1\/4, -2\/7, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*k*t + 18*k + 10*t**2 + 8*t + 536 wrt t.\nAnswer: 33*k + 20*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1569 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -10323.\nAnswer: 1032.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + 1)*5.\nAnswer: -10*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13*r = 15*r - 654406, -2 = -2*r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by (48 + -48)*1\/6 + 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -27. Let r(q) be the first derivative of 4*q**3 + q**2 + q - 2. Calculate the remainder when v is divided by r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -25686*u - 215*u**2 + 27726*u - 6426 + 846 + 5*u**3 = 0?\nAnswer: 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 8:16 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -606020\nAnswer: -606021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 plus -0.29956?\nAnswer: -75.29956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376489166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6439883g in milligrams?\nAnswer: 643.9883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.07 (b) 1 (c) 2859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*g + 3*f, -5*g - 11 = 3*f - 0*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = 8. Suppose -19 = -w*k + 3. Suppose k = 2*g - 3. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:21 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 419*w**2 - 3780*w + 77. Calculate j(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 8, -3, 0 in descending order.\nAnswer: 8, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:20 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(170)*-4 + sqrt(170))\/sqrt(10).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6527144 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/5 + 1329*n\/5 - 534.\nAnswer: 3*(n - 2)*(n + 445)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1 + 2, 0 = -2*a + 4*i + 98. Let h = a - 43. What is the smallest common multiple of 148 and h?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2. Let n(m) = 2*m. Calculate n(f(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7455.64 centuries to months.\nAnswer: 8946768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00078496581 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*o**2 + 27230*i**2*o*v**2 - 2*i*o*v**2 + 2*i*v**2 - 14*i*v + 87*o**2*v**2 + 2*v**2 wrt i?\nAnswer: 4*o**2 + 54460*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178\/19 - -12562\/1349. Let h = m + 363\/142. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -810.037 - -4434.1267. Let q = 3463.083 - d. Let x = 161 + q. Round x to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*w = 2 - 30, -29 = 4*a - 5*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21384022.\nAnswer: 2, 11, 972001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggrrg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5135 is divided by 1277?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 80074.87 grams?\nAnswer: 80074870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 187 - 3 - (2151 + -2077)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-35 - 5) + 0 - (10 - 14)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2752 and 5\/3328.\nAnswer: 143104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -45 + (-2 + -5)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:25 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064 is divided by 643?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -447, -0.6, -5, 0.3 in descending order.\nAnswer: 0.3, -0.6, -5, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 61 = -5*i + 10, -i + 17 = -c. Let t(v) = -2*v. Let h be t(6). Let f = i + h. Solve -4 = -3*x - x + r, 12 = -f*x - 3*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*o**3 - 27\/2 + 1\/4*o + 27\/2*o**2.\nAnswer: -(o - 54)*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-7)\/(35\/20). Solve -j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562.2 + -1592.\nAnswer: -2154.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 284019089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*u - 3*c + 2*c, 5*u = 3*c - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1475\/2 + -742. Put -2, -7, n in ascending order.\nAnswer: -7, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 946 - 455. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -947606.\nAnswer: -2\/473803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119)*-1*5 - sqrt(119))\/(1*sqrt(28)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/5)\/p*p)\/(p\/((p\/(p*(p**18*p)\/p))\/p*p))*(p\/(p**(-1)\/p*p))\/p**(1\/27))**(-27) assuming p is positive.\nAnswer: p**(2408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230 + -13103?\nAnswer: -12543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14191 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 496978 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 (base 15) in base 11?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210001 (base 3) to base 4.\nAnswer: 20320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 96*k**2 + 3*k + 55. Let h(i) = -94*i**2 - 4*i - 63. Let t(r) = -3*h(r) - 4*v(r). Let g(d) = 2*d**2. Calculate t(g(b)).\nAnswer: -408*b**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:39 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/675*-36*3\/(-11).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*f + 48 = 0, -3*h + 5*f = -0*h - 4. Solve -21 = -h*w + 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and -87063.\nAnswer: 16541.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6508, 7925, 9332, 10723, 12092, 13433, 14740?\nAnswer: 16007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110012 (base 3) in base 11?\nAnswer: -19570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1271845*u**2 - 363020*u**2 - 228442*u**2.\nAnswer: -1863307*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/20 - 7*p**4\/12 - 2*p**2 + 232*p. Let k(j) = j**2 - 3*j - 4. Let w be k(-4). Let s = 17 - w. Determine m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*i + 87*i - i - 12104 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221247 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 2*c + 2 - 3*c + (-c + 3*c - c)*(-4 + 2 + 0) - 3 + 3 - 4*c.\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/380 and 49\/608?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8229 + 8232. Let z(d) = d**2 - 2. Let j(x) = 3. Let k be (-6)\/15*(-5)\/1. Give k*j(i) + u*z(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 3*j - 56 = 2*u, 0 = -3*j - 5*u - 26. Let r = 17 + j. Solve r*b + 3 = 28, 11 = -2*c + b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-1 + -1))\/2. Suppose 2*x - 4 = -q*x. Suppose 0 = -x*a - 0*w - w + 20, -4*a + 24 = -2*w. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5981563*s**4 + 2*s**2 - 2639824?\nAnswer: -143557512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 473011619 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 1, f: 2, q: 6, b: 5, d: 1}. What is prob of sequence abvd?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:03 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1050300 to the nearest 10000.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13794, 20052, 26308, 32562, 38814?\nAnswer: 45064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164 + 2*d**2 - 8*d + 8*d + 237 to j*d**2 + l*d + r and give r.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + 20. Suppose -u + t = -5*u + n, 0 = 3*u - t - 40. Suppose -o = -0*o - 9. What is the remainder when u is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7084, -12630, -27680, -56986, -105300, -177374, -277960, -411810?\nAnswer: -583676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 - 15)) + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 28 = 4*m, 5*m - 38 = 2*m - 5*c. Let q(d) be the third derivative of 0*d + 173*d**2 - 5\/24*d**4 + 0 + 1\/60*d**5 - 4\/3*d**3. Give q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Let c = -1.6 + -1.9. Let a = -3 - c. Put d, 0.4, a in decreasing order.\nAnswer: a, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from rrzrrrzrrzrrrzrzrr.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpxc when four letters picked without replacement from {p: 2, c: 1, x: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (9 - 1) + -2. Suppose -r = -t*r + 4*j + 559, -116 = -r + 5*j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let i(u) = -1113*u**2 - 6 + 1115*u**2 + 3 + 4. Let r(a) = 3*a**2 + 2. Let w(s) = 6*i(s) - 3*r(s). Give w(g(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885 divided by -15.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112246 is divided by 112238.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z - 34*z**3 - 120*z**2 + 180*z**2 - 60*z**2 + 49*z.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/84)\/((-30)\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**3\/6 - d. Suppose -2 = -v - 0. Let f(w) = 0*w**2 - 2*w + 2*w + 3*w**v. Calculate t(f(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*v + 67*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/24 - 2*q**3\/3 + 7*q**2. Calculate the remainder when 35 is divided by b(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, -2 = 4*l - 2*b + 28. Let i be (-8)\/(-16) + l\/(-2). Is 6 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310773 - 64344 = 61*d - 17640. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, -32, 58.\nAnswer: -32, -4, -2, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 14. Let n be l(5). Suppose -16 = -q - q. Let t = q - n. Which is smaller: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 9*c - 8. Let z be q(-7). Suppose 2*s - 5 - 1 = -4*r, -2*s = 3*r - z. What is the first derivative of -4 + 2*b + s + 5 - b wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h + 1 - 5*h - 1 to g + m*h and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**5\/13 - 2072454*z**4\/13 - 268451442748*z**3\/13 - 2550091308672*z**2\/13 + 1342158774080*z\/13 = 0.\nAnswer: -259052, -10, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -1\/9*i**2 + 13\/9 + 4\/3*i = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 - 1154*s**3\/3 - 164008*s**2\/3.\nAnswer: -s**2*(s + 166)*(s + 988)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*x + 84, 3*x = -2*o + 38 + 4. What is the third derivative of 36*v + o*v**4 + 34*v**2 + 29*v - 65*v wrt v?\nAnswer: 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9606*o - 3*o**2 - 29*o**2 + 9603*o.\nAnswer: -32*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 28*t**2. Determine h(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3) + -6 - 1\/1. Let l be -24*(6\/(-2) - (b + 8)). Calculate the greatest common divisor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2\/177, -1\/7, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m, -3*s + 8 = -2*s + 4*m. Solve s*y = -3*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43070 (base 10) in base 15?\nAnswer: -cb65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 97185.1 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276660 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3493 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 12, -4*b + 7*b = 3*n. Let p be b*8\/(-12) + 2. Find the common denominator of -71\/4 and (-240)\/(-198) - p\/6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/1)\/(5*(-6)\/(-150)). Solve t + d = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in -3\/2, 0.1, 40639?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*s - 19*s. Solve 3*o = 2*l + 6, 0 = -3*o - o - s*l - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212*s = 1211*s - 2*b - 4 + 21, 0 = -3*s + 2*b - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 764*y - 2284*y + 740*y + 2*y**2 + 718*y + 5 to the form x + o*y**2 + n*y and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.2786.\nAnswer: -3.7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2 - 14*z + 10. Suppose 1 = v - 0. Let a(m) = -6*m + 5. Let f be a(v). Let c(j) = j**2 + j - 1. Give f*x(u) - 12*c(u).\nAnswer: -2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k + 10. Solve 2 = -k*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktltllelettltle. Give prob of picking 1 l, 1 t, and 1 e.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1718384 - 106)\/((-9)\/(-30)). Round k to the nearest one hundred thousand.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005254 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23711 + -2?\nAnswer: 23707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 71.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/7 in 0.3, 2\/3, -1\/5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9 and 17\/28089.\nAnswer: 28089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - -0.03. What is the second smallest value in -2, q, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199008968?\nAnswer: 2, 24876121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9747*r + 3519*r + 3652*r + 3568*r.\nAnswer: 992*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 21*h**3 + h**2 + h. Let q be o(-1). Let s = q + 9. Let w be 39\/(-42) - s\/8. Does 0 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + o = 3*o + 14, 2*w = 5*o + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/13 - 184*r**4\/13 + 2358*r**3\/13 + 5656*r**2\/13 - 2360*r\/13 - 5472\/13 = 0?\nAnswer: -2, -1, 1, 18, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*z - 2 + 2)*(-6178 + 6178 - 14*z) as x*z**2 + b + m*z and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2069*x + 0*o + 4*o - 200 = -2068*x, 0 = -x - 4*o + 192 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -4*n + 0 + 1\/6*n**4 - 7\/2*n**2 - n**3. What is the units digit of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 23 + 17 + (0 - 1 + 2)*(-24 - 32 - 36))*(0 + 1 - 2)*(3*t - 4*t - t).\nAnswer: -134*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + s**2 - 3*s + 3*s**2 - 6 + 13*s. Let d = 1 + -12. Let l be j(d). Solve 4*w - 4*g + 3 - 11 = 0, 0 = 5*w + l*g - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:43 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 3*x**3 + 0*x**3)*(-4*x - 2*x + x)*(-4 + 5 + 8).\nAnswer: 90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 706 - -505. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/(g*g**(-7)))*(g**(4\/13)\/g*g)\/g assuming g is positive.\nAnswer: g**(-100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecfmce. What is prob of picking 1 f and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75561*n**3 + 10*n**2 - 375351*n wrt n.\nAnswer: -453366*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + -2*sqrt(1331) + 1*(-3 + sqrt(1331)) + sqrt(1331).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 1200*x**2 - 6840*x + 9747 = 0.\nAnswer: 57\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043859673 less than -0.3?\nAnswer: -3043859673.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 87*j + 24 = -91*j, -5*q + 3*j = -18. Let m(o) be the first derivative of 1\/2*o**2 + 39 + q*o. Let p(t) = -3*t. Determine m(p(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 842829, 1685648, 2528467?\nAnswer: 3371286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 150, -12\/5, -5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2\/2 - 2*l + 1. Suppose 0*i + 6*i - 12 = 0. Suppose -3*j = -4*q + 8, 2 - 12 = i*q + 2*j. Calculate p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 y when three letters picked without replacement from {q: 3, o: 5, f: 3, v: 3, w: 3, y: 2}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99746 = -19*s - 99575 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/((r**(7\/3)\/r*r)\/r))\/(r\/r**(-2\/5))**(-1\/13))\/(r**3\/r*r*r**(-2\/9)*(r\/(r*(r**1*r)\/r))**(-7\/2)) assuming r is positive.\nAnswer: r**(-14629\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63.6 - 126.6. Sort d, 1\/4, -0.2 in descending order.\nAnswer: 1\/4, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1)*219\/(-6). Let a = s + -443\/6. Is -1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 6*g - 4. Let n be q(-4). Solve -2*i + n*f = 1 + 13, -2*f = 3*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -1000000000?\nAnswer: -1000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 2. Suppose -5*t + 0*t - i + 28 = 0, 3*t = 3*i + 24. Suppose 18 - 2 = y + n, -y + 28 = -3*n. Calculate the remainder when y is divided by u(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/265210 and 73\/44.\nAnswer: 530420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -8497?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*n - 13. Let i = n - -10. Let f(o) = o**2 - 3*o + 2. Calculate the remainder when 4 is divided by f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, b: 2}. What is prob of sequence bbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = y - 18, 0*y - 2*v - 54 = -4*y. Suppose b + 2*b - y = -3*c, -2*b - c = -10. Suppose 6 = -b*j + 6*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -164. Let d(v) = v - 2. Let f be d(5). Suppose 5*m - 2 = f*m. Solve -a*x = m + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -1\/2, -0.4, 2.04?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6440045 by 1288009.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1034?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -34845930.\nAnswer: 2439215.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/108497 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:38 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 42*y - 262. Let o be k(33). Round o to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30726 at most -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edmdyesdeseyehs. Give prob of sequence esy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1484 in decreasing order.\nAnswer: 1484, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/85 - 1\/17. Let p be (2\/7)\/(30\/14). Sort p, j, -2 in decreasing order.\nAnswer: j, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4384 or 0.03?\nAnswer: -4384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a - 35 = 0. What are the prime factors of ((-6)\/3 + 3)*a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**3\/3 - 35*k**2\/2 - 122*k - 60. Differentiate m(r) with respect to r.\nAnswer: 4*r - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89183, 178361, 267535, 356705?\nAnswer: 445871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143735 - -3?\nAnswer: -143732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*i + 17 = 5*i, 5*i + 20 = 0. Let w be (-54)\/(-8) - (-1)\/4. Does k = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178738400.\nAnswer: 2, 5, 223423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 18. Let l be i(25). Let r(t) = -t**2 + 2*t + 61. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/39 and 8\/(-31690)*(20\/9)\/((-88)\/(-33))?\nAnswer: 123591","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n**5 + 0*n**4 - 3 - 3\/2*n**2 + 0*n - 1\/2*n**6 + 0*n**3. Find the second derivative of k(s) wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 32\/40*-10 - -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5, -5*b - 5*q + 1094 = -86. Suppose 0 = 3*a + 2*s - b, -74 = -2*a + s + 77. Let w be 2\/7 - (-132)\/a. Sort 1, w, -0.5.\nAnswer: -0.5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 206\/1479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(96))\/sqrt(11).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 14*p**2 + 23*p + 11. Let r(j) be the third derivative of -j**6\/120 - j**5\/12 + j**4\/3 + 2*j**3\/3 - 15*j**2. What is -4*f(s) + 11*r(s)?\nAnswer: s**3 + s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/15 - 419516*h**3\/15 + 671142*h**2 + 21392816*h\/15 + 10906168\/15 = 0. What is h?\nAnswer: -1, 26, 209734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3032 divided by 758\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 2}. Give prob of sequence fi.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172892539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48450 and 1621650.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or -1\/87?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4240053 is divided by 64243.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5 + 185655*r**4 - 17557746*r**3 + 419261855*r**2 - 205264698*r = 0?\nAnswer: -92922, 0, 1\/2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*t - 93 = 0, -5*t = 2*v + 3*v + 85. What is the tens digit of (-4)\/14 + (-12123)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2*v + 4*b, -3*v + 7*b - 5290 + 5245 = 4*b for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/7)*h)\/h)**(4\/11)*(h*h**(1\/3))**(-2\/55))**(-26) assuming h is positive.\nAnswer: h**(-1664\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/14 + (-24)\/42. Suppose -i + 10 = s*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/140*(-63)\/90.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1792 + 3635. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 6 = -10*j + 11*j, 0 = -2*j - 2*v - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 594*v**4 + 0 + v**2 + 2*v - 13 + 583*v**4 + 12 - 5*v**3 to i*v**3 + j*v + n*v**4 + h + l*v**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533212*r*z**3 + 4*r*z - 83*r - 246*z**2 wrt z?\nAnswer: 3199272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 50 = -4*d, 0*q + 2*q - 3*d = 78. Let f = -224 + 229. Suppose f*c - 2*y = 116, 0 = -4*y - 12 - 0. What is the remainder when q is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*o - 2006*c**3*o - 25368*c**3 - 1948*c**2*o - 84*c**2 + 2*c*o - 3*c - o wrt c.\nAnswer: -24*c*o - 12036*o - 152208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12 and 11\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143) - sqrt(143))*6)\/((-2*sqrt(33))\/sqrt(3)) + (sqrt(65) - -2*sqrt(65)*-2)\/(sqrt(50)\/((sqrt(50)\/sqrt(5) + sqrt(10) - sqrt(10)) + sqrt(10))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27057 or -27166?\nAnswer: -27166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) 2\/11 (b) 0.4 (c) -2 (d) 459 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 2. Let c(y) = -6*y**2 - 10*y - 13. Let k(i) = -c(i) + 5*r(i). What is k(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 2*y - 3 + 0.\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 827698063 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*f**2 - f - 246 wrt f?\nAnswer: 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*y**3 + 170*y**3 - y + y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/15, -1\/2, -5, 3528 in descending order.\nAnswer: 3528, 3, 2\/15, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d**2 - 104*d + 104*d + 104*d**2 - 2.\nAnswer: 137*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -11. Suppose b + 0 + 2 = 0. Let s be (-7)\/6 + (-1)\/b. What is the biggest value in 1, s, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + f - 1345 = 0, -4 + 9 = 5*f. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 - (-4 + 5). Let d = t + 7. Which is bigger: 9 or d?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7066.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 22 + 6. Put -2, d, -3 in ascending order.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 573 + 504. Let j = 10791\/10 - l. What is the common denominator of 117\/10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 5. Let y be (3 - 1) + (-24)\/3. Calculate the remainder when i(y) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o - 3. Let w be y(2). Let u be -2 + 3 + 3 + w. What is the second derivative of -u*g**3 + 17*g**3 + 14*g**3 + g**5 + 9*g wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32542305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71.6 - 78.6. What is the fourth biggest value in 1, d, 0.2, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21957 and 663777?\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10 - (1 + 884\/20). Which is bigger: k or -50?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5795, 5799, 5805, 5813?\nAnswer: 5823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zph when three letters picked without replacement from hfzozqofoqqphff.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/v**(-1\/5))\/((v**(-4\/5)*v)\/(v\/(((v\/(v\/(v\/(v*(v*v**(-5))\/v)))*v)\/v)\/v))) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13605 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:40 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 2, u: 2, y: 3, o: 1, r: 3}. Give prob of picking 1 y, 1 o, and 1 m.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 3 + (-122904)\/1138?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131071 (base 8) in base 16?\nAnswer: -b239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 x when four letters picked without replacement from {x: 5, l: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - 14*a**2 - 5*a + 4. Calculate u(7).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21 - (-64)\/28. Let q(b) = 6 - j - b - 4. Let c(u) = -10*u - 4*u + 6*u. What is q(c(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -158650 divided by -5\nAnswer: 31730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -0.1. Let w = 0.4 - d. Let j = 1.4 - -0.6. Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 60*y**3 - 11*y**2 + 140*y + 1. Let t(d) = -11*d**3 + 2*d**2 - 28*d. Give 6*f(b) + 33*t(b).\nAnswer: -3*b**3 - 84*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3 + 0)\/((-1)\/10). Let t be (6\/(-5))\/(l\/(-50)). Let r(y) = -y. What is r(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1.7282 (b) -0.16 (c) 3\/5 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 4. Let n(q) be the third derivative of q**5\/60 - 7*q**4\/24 - 116*q**3\/3 + 40*q**2. Let j be n(19). Calculate u(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, 11.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q**3 + 29*q**3 - 51*q**3 - 62*q**3 + 0*q**3.\nAnswer: -122*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riqjiqcicqo. What is prob of sequence qrri?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.3 (c) 0.2 (d) -1\/2 (e) -3\/583\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 297 + 293 = -2*f, 0 = 5*f - 3*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3*o + 2*o)*(2 + 3*o - 2)*(22*o - 53*o + 24*o).\nAnswer: -189*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyoutxxvtvx. Give prob of sequence oyt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(36\/18*2\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 18. Let g be p(-6). Let l(v) = 5*v**3 - 3*v**2. Let x(t) = 9*t**3 - 5*t**2. What is g*x(u) - 10*l(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c**2 + 6*c - 7. Let o be h(3). Suppose -5*v - 2*b = -4 + 84, 5*v + 70 = -4*b. Put 3, v, o in increasing order.\nAnswer: v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*s - 188*s + 4*q = 18955, -4*q = -2*s + 7582. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*h - 30, -5*z - h - 130 = -6*h. Let t = 14 - z. Suppose -t*f + 112 = -37*f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r + 6. Let c(x) = -x**3 - 3*x**2 - 2*x - 1. Let f be c(-3). Suppose 0 = f*t + 100 - 75. Let n(b) = 10*b + 5. Give t*n(s) + 4*l(s).\nAnswer: -6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 + -7 + -160)\/(4\/10). Let g = n - -384. Let c(r) = r**3 + 5*r**2 - 5*r + 1. Determine c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 - 223. What is the nearest to -13 in z, -4\/5, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from {n: 10, i: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-732))\/(10\/(-9)). Let y be 3\/20*(-23503)\/549. Let m = y - n. What is the common denominator of -91\/22 and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tca when three letters picked without replacement from tzzczctcttttaca?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-1)\/5*-9. Let n = -1994 + 1991. Put n, q, 10\/3 in decreasing order.\nAnswer: 10\/3, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -16*v**7\/147 - 2*v**6\/105 + 387*v**5\/140 - 116*v**4\/21 - 50*v**3\/21 + 24*v**2\/7 - 2158*v. What is i in f(i) = 0?\nAnswer: -4, -3\/8, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58505.\nAnswer: 5, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3275\/6 - -21773\/42. Let g = f - -27. Which is the second smallest value? (a) g (b) -2 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*a - 49. Let j(s) = -2*s - 2. Let q be j(-5). Let u = a + q. Let k(n) = n - 1. Determine k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/11 + 296*l**3 + 98604*l**2 + 10114632*l + 339604650.\nAnswer: -2*(l - 1925)*(l + 99)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 9*a**2 - 16*a + 12. Let f be o(-6). Suppose 11*h + 572 - 6941 = f. Is 34 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 1)*2 + -4 + (sqrt(1331)*1 - sqrt(1331)))**2 - (sqrt(77)\/(-2*sqrt(175)) + 0)**2.\nAnswer: -88*sqrt(11) + 532789\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5955)\/405)\/((-1)\/(-491)). Let f = y - -7217. What is the common denominator of f and -29\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6140274 - -437?\nAnswer: 6140733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -12 - (11 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u. Suppose -h = 5*r - 0*r - 21, 0 = -3*h - 3*r + 15. Let t be k(h). Solve t + 9 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9, 0 = 4*d + 5*u - 2398 - 1663. Let l = d + -674. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 0*m + 16*m)*(-3*m + 0*m - m)*(-4 + 4 + 2*m).\nAnswer: -88*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827537\/9 - (-5 + 221\/39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**7\/420 - v**5\/12 - 28*v**2. Let i(h) be the third derivative of p(h). Let s(n) = 4*n**2. Give s(i(d)).\nAnswer: 576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 0.343?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 22*c + 4. Let v(l) = -141. Let p(z) = 388. Let x(g) = -4*p(g) - 11*v(g). What is -s(q) - 6*x(q)?\nAnswer: -22*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -200 + -3?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 31 - 7. Let m(b) = -b**3 - 5*b**2 - 4*b - 5. Let u be m(-4). Let f(k) = 4*k**3 + 5*k. Let g(z) = 5*z**3 + 6*z. Determine s*f(h) + u*g(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -34, -3, 2, -7 in increasing order.\nAnswer: -34, -7, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 15625550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56353334.\nAnswer: 2, 17, 1657451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 1062670 (base 8) to base 14\nAnswer: 77048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 39*s + 126. Let x(b) = 78*b + 231. Let l(o) = 11*m(o) - 6*x(o). Let i(u) = 6*u**2 - 1. Determine i(l(y)).\nAnswer: 9126*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 2*s**3 + 2*s**3 + (-3*s**3 + 4*s**3 - 3*s**3)*(-2 + 3 - 2) + (683*s + 481*s - 191*s)*(-s**2 + 3*s - 3*s).\nAnswer: -972*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 222457498 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m. Let o(g) = 1442066*g**2 + 2. Give o(v(k)).\nAnswer: 12978594*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/6761, 290, 3 in descending order.\nAnswer: 290, 3, 2\/6761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/43355 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43987?\nAnswer: 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-138)\/5)\/((-1)\/(-5)). Let b be (-1)\/(-4) + v\/8 + 3. Is b at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 2903527*d**2 + 2107618711695*d + 2107615808169.\nAnswer: (d + 1)*(d + 1451763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let v be 80\/(-44) + (-4)\/22. Let g = k + v. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = -q - 4, 0 = -2*c + 3*q + 1. Let u = -9 + c. Let d(g) = g. What is d(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3380*j**4 - 27482715*j**3 + 1394479690*j**2 - 17569324755*j - 4479915600 = 0. Calculate j.\nAnswer: -1\/4, 333\/13, 8080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 988603 or -9\/218?\nAnswer: -9\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 - 6*d + 4. Let m = 9 - 17. Let n(l) = -l - 4. What is the lowest common multiple of n(m) and w(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -608569?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394 is divided by 522.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 - 14*g**4 + 18*g**3 + 14*g**2 - 16*g = 0. What is g?\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 89075, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*u**4 - 10340*u**3 - 698235*u + 1 wrt u?\nAnswer: 348*u**2 - 62040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*(14\/4 - 4). Let n be (-44)\/6*c\/(-4). Suppose -n = 4*g - 15. What is the lowest common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12082 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -606*f**4 + 159.\nAnswer: -2424*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-13\/4)\/x*x**(-27)*x*x\/(x*((x**(-24\/11)\/x)\/x)\/x*x*x)*x*x*x*x*x**(2\/31)*x*x assuming x is positive.\nAnswer: x**(-27285\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/11, -789\/13, -0.32 in decreasing order.\nAnswer: 1\/11, -0.32, -2, -789\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -29. Let a be (-9220)\/336 - y\/(-28). Let o = a + 105\/4. Put 3, o, 0.4 in descending order.\nAnswer: 3, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564038642 to the power of 1\/2, to the nearest integer?\nAnswer: 39548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kwwkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 + 93086328*k - 186172668 = 0. Calculate k.\nAnswer: -31028778, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:45 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 17. What is v(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449737, -449736, -449739, -449746, -449757?\nAnswer: -449772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let l be (w + -1 - 2)\/(-1). Suppose -3 = -2*k - l. Put -0.3, -5, k in ascending order.\nAnswer: -5, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.442 and 0.3.\nAnswer: -0.1326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10 - 4 - 8*h + 2*h - h**2 - 4. Let t = -8 - -3. Calculate u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 9*n**2 + 7*n. Suppose 2*c + 2 + 4 = 0. Let m(p) = -2*p**3 + 17*p**2 - 13*p - 1. Let d(b) = c*m(b) - 5*i(b). Determine d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31009020 divided by 24038?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9055 (b) -0.3 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -44*c**3 + 2*c**2 - 1. Let l be g(-1). Let s be 0 - (-3 + l\/3). What is the tens digit of 3 + (-3 - -1 - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 46*p**3 + p**2 - 533. Let c(o) = 3*o. Calculate x(c(l)).\nAnswer: 1242*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 411 and 1572?\nAnswer: 215364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3189589.\nAnswer: 13, 73, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -176111 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 6 + -5 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111175480?\nAnswer: 2, 5, 13, 213799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q = -4*r + 190*q - 33 + 93, -8*r - 11*q = -132 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 2:36 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2525 - 2529. Which is the second smallest value? (a) n (b) -265 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 924, 2035, 3350, 4893, 6688?\n\"Answer: 4*u**3 + 78*u**2 + 849*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -63. Suppose -5*a - 5*p + 5 - 25 = 0, 2*a - m*p - 7 = 0. Does 25 divide (4 - 1) + a*(1 + -126)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*k + 6\/5*k**3 - 2*k**2 + 8\/5 + 2\/5*k**4.\nAnswer: 2*(k - 1)**2*(k + 1)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**3 + 4*h**2 + 4*h + 4. Let v be n(-2). What are the prime factors of v\/(4\/(-14) + 16\/252)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-27) + 1792\/36. Let x = -30 + f. Solve 4*o + l = -l, -5*l = -x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**8\/n))\/n**(-5\/3))**(-2\/5) assuming n is positive.\nAnswer: n**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1732433, 1732542, 1732723, 1732976?\n\"Answer: 36*d**2 + d + 1732396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4*120\/125.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7481 + 7407 = -k. Solve k + 39 = 19*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/83 <= -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)*(-2)\/8. Let f = -43536 - -43539. Which is the third biggest value? (a) -1.4 (b) -2\/7 (c) k (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 19. Let z = t + 4. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521a2 (base 11) in base 15?\nAnswer: -17835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/7)\/l*l**(1\/2)*l*l**(-1)*(l*l\/((l\/(l\/l**(-3)))\/l))\/l*l*(l\/(l*l**(-1\/3))*(l**(-6)\/l)\/l)\/(l**(1\/2))**(-22\/7) assuming l is positive.\nAnswer: l**(-43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -23. Let b = w - -17.75. What is b rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 5*g - 520 = 22*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:43 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 130 - 60 - 4780*n.\nAnswer: -4780*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 930*x - 930*x - 24*x**2.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34954773251.0159 + 34952446952. Let b = 2326103 + q. Let v = -196 - b. Round v to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59161 and 23249.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 0.012, 5, 6\/7, 2\/3 in ascending order.\nAnswer: 0.012, 0.5, 2\/3, 6\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23*y)\/y**12*y**24\/(y*y**18*y) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -775567886 divided by -6?\nAnswer: 387783943\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p**(-3))\/p*p*p))\/(((p*p**13\/p*p)\/p)\/p))**9 assuming p is positive.\nAnswer: p**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(1 + 0 - (-9)\/(-27)). What is the tens digit of (-3)\/h*(-892)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = 5*w, -2*c + w = -257. What is the highest common divisor of c and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 18*v**2 + 54*v - 350. Let s be i(16). Solve 0 = -s*z - 3*m - 1, 5*z - 8*m = -5*m - 34 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = 3*s, g - 9 = -6*s + 3*s. Suppose 24 = -g*j + 3*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -0.63. Let p = t + 1. Let d = 1.1 + -0.9. Which is the smallest value? (a) d (b) p (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 202*d**2 - 2*d - 1. Suppose -3*s = -5*s - 2. Is b(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589731 take away 87?\nAnswer: -589818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = a + 10. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3014 and 226050.\nAnswer: 226050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 2*w + 4*w. Let m(o) = o - 6. Let x = 24 + -30. Let k(g) = 3*g - 13. Let f(h) = x*k(h) + 13*m(h). What is b(f(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*b + 6, 2*l + 10 = -3*l. Suppose -7*o = 88 + 612. Let k = o - -124. What is the greatest common divisor of b and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - 924. Find the common denominator of (g - 1)*1\/(-12) and ((-72)\/33 + 2)*-10.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/22155 and 49\/473062?\nAnswer: 49671510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11263 + 3261688.1?\nAnswer: 3261688.21263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - 282\/54 - (-56)\/9. What are the prime factors of (k\/(-12))\/(1\/(-164))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 1) + 56\/(-70). Are 0.2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/(-46) + 420\/278. Are 0 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 10 (b) 93 (c) 2\/23 (d) 0.4 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 1 + 1 + b**3 - b**3 - 13*b**5 + (-10*b**5 - 4*b**5 + 0*b**5)*(3 - 6 + 2)*(-4 + 3 + 2).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2593 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 23, -57, -45 in increasing order.\nAnswer: -57, -45, -2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11022 - -21222?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*f - c - 16, -5*c = -2*f + 8. Let m = -4 + f. Suppose -2*u = -3*u + 3, 0 = -x - 3*u + 10. Are m and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 232, 319, 382, 415, 412, 367?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + (13\/(-78) - (-44)\/72).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 3*f**3 - 4*f**3)*(-1 - 6 + 0) - 4*f**3 + 3*f - 3*f.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2.5\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320 - 3?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-31))**(7\/5) assuming f is positive.\nAnswer: f**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 60 = -t. Let w = t - 10. Let d(s) = 2*s**w + 13*s - 13*s. Let c(j) = 7*j**2. Calculate d(c(o)).\nAnswer: 98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1733 divide 86269640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -0.13 (c) -14.02 (d) 1 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k**(2\/13)\/k*k)**41)**(-12\/11) assuming k is positive.\nAnswer: k**(-984\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 5*f**2 + 8*f - 9. Determine a(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5431?\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2135 - -2261 - (-7 - (-3 - -2)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 68?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -21304.6\nAnswer: -2130.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -1 + 0 - (11 + -17). Suppose -3*z = 5*q - o - 49, -2*z - q = -33. What is the remainder when 76 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a*a**(2\/23))\/a)*a)\/a)\/a*(a**(1\/5)*a)\/a assuming a is positive.\nAnswer: a**(128\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 20. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmu. Give prob of sequence mn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9 - 8)*(2 + n - 2)*(-n**2 + n**2 - 4*n**2).\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 16902*c + 23806467.\nAnswer: 3*(c - 2817)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 33. Suppose a = -8*h + 9*h. Suppose -5*y = 161 - 171, 4*y + 62 = 5*z. What is the remainder when h is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/(18\/27). Find the third derivative of -10*p**6 - 5*p**6 - 3*p**o + 7*p**2 wrt p.\nAnswer: -1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25531 and 422?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/13)\/((-23)\/299).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 2*p + 7. Suppose 2*k = -2*i + 5*k + 25, -5*i + p = -3*k. Suppose -i*y + y = 0. Which is the biggest value? (a) y (b) -1\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18603 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*h - 24 = 129*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-20)*(-7)\/7*10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86350 - -9a?\nAnswer: -86283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18384 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4740084, 4740120, 4740156, 4740192, 4740228, 4740264?\nAnswer: 4740300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/33)\/((-1)\/(-33)). Suppose -2 = -v*r + 13*r. Let k = 7 + r. Solve 2*u - 2 = -d - k, u = -5*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -93. Differentiate -10*a**3 - p - a**3 + 98 wrt a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 27. Let v be p(-5). Let x(c) be the third derivative of -1\/12*c**4 + 0*c**v - 1\/30*c**5 + 0 + 0*c + 7*c**2. Suppose x(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 1728 - 4656 = 0. What is the smallest common multiple of 8 and f?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45162, 180660, 406490, 722652, 1129146, 1625972, 2213130?\nAnswer: 2890620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3) - 4\/6. Let y be 27 + (-1 - (0 + t)). Calculate the highest common divisor of y and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -12 + -66 - 4 - (0 - 2)) + -8\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14300 divided by -2554\nAnswer: 7150\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (81\/(-12))\/(9\/24). Let j be 11\/(693\/d) - 2620\/(-7). What is the highest common divisor of 44 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3)\/(18\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1392*m**2 - 2788*m**2 + 16*m**3 - 2 + 2 + 1398*m**2.\nAnswer: 16*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244709 is divided by 234?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 15 - 16 + 4. Let r be z(10). Suppose -5*m + r*m = -30. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 9*j**2 + 8*j + 12. What is u(-10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let b = -17 - -21. Let v(w) = 2 - 4 + 2 + b*w**2. Determine v(t(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*n - 45, 0 = -n - 4*n - 4*v + 40. Suppose -20 = -11*p + 35. Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 1, l: 4, x: 8}. Give prob of sequence xxhu.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8670, 23, -16, 0, 4.\nAnswer: -16, 0, 4, 23, 8670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(17) - sqrt(833)*3).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 904. Let l(f) = 11*f + 2729. What is -8*i(b) - 3*l(b)?\nAnswer: -b - 955","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.51+0.020063195\nAnswer: -0.489936805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1192 = -t. Let f = t + -171. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m - 100. Is 36 a factor of r(52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10749813*b**2 + 179507*b + 1?\nAnswer: 21499626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 15. Let l(b) = 2*b + 15. Determine g(l(j)).\nAnswer: -6*j - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d - 2*d**2 - 8 - 9*d - 4 - 3*d = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104882638.0000042 + 104882677. Let s = z - 39. What is s rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2760528, -5521059, -8281590?\nAnswer: -11042121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1174522 and 1582?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 6. Let n(g) = -g. Let j(i) = -b(i) + 2*n(i). Give j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13349 is divided by 88?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + -1070)*7\/(-14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - 73. Let m = 81 - b. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4108 + -4121. Let b = -119 - -131.3. Let y = b + h. What is the fourth biggest value in 4, 3, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*78*((-27)\/2 + (4 - -9))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 160\/50*(-5)\/(-2). Which is greater: v or 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1995 and -173\/2097030.\nAnswer: 14679210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/6)\/(2\/(-6)). Let g = -433 + 420. Is 7 a factor of ((-2)\/q)\/(g\/455)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 417008.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Let q(j) = -2*j + 6. Let a be q(6). Let z(t) = -t**2 - 15*t - 9. Let f be z(a). Calculate the greatest common divisor of g and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 5*h**2 + h + 16. Let m be i(6). Let r be (0\/1)\/(m - -11). Solve 2*q - 2*t + r = 2, -3*q = -5*t - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10438 is divided by 1303?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25452 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 7*q**2 + 14*q - 46. Let i be u(6). Let x(r) = 28 - 3*r**2 + 4*r**i - 19 - 15 + 6*r. Let f(v) = v**2 + 7*v - 7. Determine 6*f(o) - 7*x(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8554 and 10.\nAnswer: 42770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 20, 23, 26, 29, 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*x, 0 = 4*x - 3*x + 4. What is h in -v*h + 1 + 4*h + h**2 - h + h = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457605195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)\/b)**(-10))**(-19))**(-50) assuming b is positive.\nAnswer: b**28500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3842985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 11*n**2 - 19*n - 6. Calculate t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71829747 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auaavuuauauuuuwvmuua. What is prob of sequence vaua?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96513, -193096, -289743, -386454, -483229?\nAnswer: -580068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 626 + -577. What is the remainder when 144 is divided by l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Let f = -5 + w. Which is the nearest to f? (a) -2 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**3\/3 - 10*z**2 - 13*z + 1. Let s be g(-20). Let q be 0 + -1 - (s + 8). Solve 3*m - q*m = -3*o + 10, m + 2*o = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*w - 138 + 138 + 21*w in the form a*w + s and give a.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068 = -168*v + 171*v. What are the prime factors of v?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2559*m**3 + 2*m - 1. Let z be q(1). Is (-335)\/(-201)*(-1 + z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/64 and (-12)\/18*2*(-122)\/32.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 10, 0, -22, -56?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {i: 1, b: 1, t: 2, f: 11, n: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 43 = 23. Calculate the highest common divisor of 25 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + (-4 - 28 - (42 - 61)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74199 (base 12) to base 10.\nAnswer: -152325","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 936?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12564*j + 13 - 6290*j - 6281*j.\nAnswer: -7*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 16893 + -5675. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -29*m**2 + 2. Calculate w(-2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by ((-4)\/8)\/((-4)\/112).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(10\/30*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 4?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -333*m**2 + 13247*m + 2891. Calculate u(40).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -25, -5*w + 10 = -2*t - 19. Let d be t*((-15)\/(-6) + -4). Suppose j = -3*n - 4, 0*n - 9 = d*n. Calculate the highest common factor of j and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6678233 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 24.68132 milliseconds?\nAnswer: 24681.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63*(-18)\/882)\/(-2*(-12)\/(-112))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -48. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 17943 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 23. Let c = 13 - y. Which is smaller: c or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21237 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12693015 >= -12693039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y - 3. Suppose 2*b + 29 + 81 = 0. Let w(j) = j**3 + 15*j**2 - 20*j - 6. Let t be w(-16). Let f = t + b. What is l(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/4 + 4*n**3 - 15*n**2\/2 - 5*n - 20. Let o be y(10). Let f be 10\/o + (-129)\/(-27). Solve f*p - p = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006146 rounded to 7 decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:03 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.892865 plus -5?\nAnswer: 99.892865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 5526 - 5488 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 3:09 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgux when four letters picked without replacement from augxxkawuwau.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/7? (a) -0.3 (b) -4 (c) -6\/11 (d) -1 (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4 - 3 + 0*k + k**2 - k. Let g(h) = -7*h**2 + 7*h - 7. Let j be (8\/(-6))\/(2\/(-6)). Suppose -j*u + 7 = -4*n + n, 2*u = -3*n - 1. Give n*g(i) - 6*c(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-474)\/711 - 1\/((-21)\/16).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39649*w + 35377*w + 178078*w.\nAnswer: 253104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 300?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2171817 != -2171816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 15140363?\nAnswer: -15140363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 102852147857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/4))**(-31))**(2\/147))**(-2\/91) assuming a is positive.\nAnswer: a**(-31\/13377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8052540088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -72.5. Let h be -1 + 1 + 2 + -1. What is the closest to h in 0, n, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.41, -2, -4\/5, 9\/19, 5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + q - 2*q. Let a(t) = -803919*t + 20*t**2 + 803919*t. What is d(a(s))?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = i + 4*a, 2*i = 2*a. Suppose 2*g - 12 = 2. What is the least common multiple of i and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -14. Solve 2*g - 6 = b, -5 = -0*g + z*g + 2*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 813*z**2 - 898*z**2 - 405 + 44 + 455*z - 374.\nAnswer: 5*(z - 7)**2*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 13 - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.4 (b) -1\/5 (c) 0.05 (d) -15 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose 70 = 5*h - s*y, 4*y + 0*y - 16 = 0. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 - 2*m + 6. Let n(k) = -5*k**2 + 3*k - 7. Let i(y) = 3*n(y) + 4*s(y). Suppose -2*t = -3*t - 4. Is i(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64995 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 233 + b?\nAnswer: 23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32333 + 32333 - 17*p**2 - 9*p**3 - 33*p**3 + 17*p**2.\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -31.21.\nAnswer: 93.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*s**2 - 4636*s**2 + 1164*s**2 + 1163*s**2 + 1150*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**8\/504 + 2*a**7\/315 - a**5\/45 - a**4\/36 - 3*a**2. Factor u(j).\nAnswer: 2*j*(j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -4303602.7\nAnswer: 3012521.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2121 - -3375. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*b + 262*b - 119343 = 0. Is b a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3392051 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*k**2*l**4 - 10*k**2*l**3 + k**2*l**2 + 5*k**2*l - 3*l**2 wrt l?\nAnswer: -240*k**2*l - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3643259 + 1970209. Let q = -1586950 + y. Round q to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/84)\/(40\/36))\/(9\/66)*5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186010811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1258 + 637. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7682979\/56 - -137192. Let k = 21619\/8 + -2706. Let o = x - k. Which is the biggest value? (a) 0 (b) -1\/6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 7. Let r be m(6). Suppose -2*p = 5*n - 24, 4*n = 5*p + r + 1. Suppose 0*q + n*q = -5*x + 88, 4*x = 3*q + 58. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 471422953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57 times -1.1?\nAnswer: -0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 6*a**2 - 5. Determine d(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42005 divided by -6\nAnswer: -42005\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + x**2 - 2*x**2 + (2 - 1 + 2)*(-15*x**2 - 95 + 95) - x - 2*x**2 + x + (-2*x - 1 + 1)*(0 + 0 + x) to c*x + k*x**2 + a and give k.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 791268 (base 12) in base 7?\nAnswer: 22260260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33219390 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 67*n. Let a(w) be the first derivative of 7*w**2\/2 - 694. Calculate a(p(c)).\nAnswer: 21*c**2 + 469*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i**6*i*i))*i)\/i*i**(1\/3)\/i*i*i)**(-5\/4)\/(i*i\/(((i\/i**(-2\/13))\/i)\/i)*i*i**(-2\/17)*i)**(-2\/57) assuming i is positive.\nAnswer: i**(-27185\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, w: 4}. What is prob of sequence vwvw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-3200)*(-55)\/(-66)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -7) + -29 + 47. Let y(t) be the third derivative of -1\/40*t**6 + 3\/4*t**4 + 0 - u*t**2 + 0*t - 3\/20*t**5 + 4*t**3. Solve y(a) = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i + 4*u + 8*u - 9*u = -1450 - 2337, 0 = i - 3*u + 83 for i.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71735.15 millilitres in litres?\nAnswer: 71.73515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 o when four letters picked without replacement from cqohohqqqqqqcqqhqqcq?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 + 51*f - 7. Let n(w) = -13*w**2 + 87*w - 11. Let i(b) = -5*h(b) + 3*n(b). Determine i(-3).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 1038927\nAnswer: 51946.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-42))\/((-4732)\/637*7\/(-6))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 7*z + 4. Let h be u(5). Suppose 0 = -3*n + 5*o - h, 0*n + 3*o = -3*n - 3. Let x = 4079 - 4074. What is the closest to 0.7 in 1, x, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - x = -9, -5*k + 1 = -3*x. Let m = 5 - k. Suppose b + 15 = -m*q + 3*b, -2*q - b = 10. Let h(y) = -y**2 - 5*y + 3. What is h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -872 divided by -402085\nAnswer: 872\/402085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11491\/12 + 965. What is the common denominator of 69\/22 and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*k)*(2*k**2 + k**2 - 4*k**2)*(k + 2*k - 5*k)*(13 - 3 - 2).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 176 - 52 = 136. Solve w - d = 5*a, 0 = -3*w - 11*a + 8*a - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (19 - (-5 + 10 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285\/35 + 3\/(-21) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + 0.9. Let j = -0.1 - 4.9. Which is the third biggest value? (a) m (b) 1\/5 (c) j (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z)**23\/(z**2*z)**(-40) assuming z is positive.\nAnswer: z**(314\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + -818ab3?\nAnswer: -818a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(9\/10))\/u**(5\/6))\/(u*u*u\/(u**5\/u)*u)**(3\/4))**(-3\/8) assuming u is positive.\nAnswer: u**(11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/24 and -57\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -32. Suppose 3*g = 26 + i. Let m = 81 - g. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybytyyyyyyyyyy. What is prob of sequence by?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n + 1. Let z = 9 + -7. Let v be z\/6 + (-25)\/(-15). Is p(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by (-2 + -2)*(10\/(-5) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 1308*f**2 - 5196*f - 5184.\nAnswer: -3*(f + 2)**2*(f + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 11:56 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000495051894 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/71))**(-3\/13)\/(o**(-39)*o*(o*((o*o**(-27))\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(60912\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 778 = -2*g, 3*u - 838 = -4*g + 371. Calculate the remainder when u is divided by 88.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - c. Let a be u(1). Does 10 divide a\/(2 + 51\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29898, -57253, -82062, -104325, -124042, -141213, -155838?\n\"Answer: 1273*x**2 - 31174*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 - 5*x - 4. Let g(o) = 15*o**2 + 11*o + 9. Let h(n) = -6*g(n) - 13*q(n). Let c(i) = -173*i + 5*i**2 + 172*i - 4*i**2. What is 3*c(f) - h(f)?\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*s + 17 - 7 = 0, -8 = 4*n - 3*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111286?\nAnswer: 2, 11, 50513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 24 - 44, 5*t - n = 211. Suppose 95 = t*r - 24*r. Solve -r*p + 4*p = w + 2, -3*p = -5*w + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -874, -1252, -1634, -2026?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/172 and 19\/1764.\nAnswer: 75852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2408 is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*h**2 - 14*h**6 + 3*h**2 - 15*h**2 + 0*h**6 wrt h?\nAnswer: -1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 146 - 104)*(o + o + o)*(-3 + 0 + 1).\nAnswer: 432*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 16*d + 455\/6.\nAnswer: (d - 91)*(d - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 86.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -3675. List the prime factors of b.\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1020\/280)\/51)\/(3\/(21\/4))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5525 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0085 + -0.0298. Round n to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-4375)\/2250*7\/(-441).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495711173?\nAnswer: 2297, 1086509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 24. Calculate the smallest common multiple of 10 and r(0).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173019 divided by -21?\nAnswer: -8239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6480 and 125\/324?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259515207 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = -1. Let i = t + 7. Let f = i + 0. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -25) + (20 - 5 - (-29 + 50)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 2*q + 22*q - 8004. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 850930001 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.998 and 0?\nAnswer: 3.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*s = 30 - 21, -s = -j + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78043076 is divided by 22773.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*j**3 + 76*j**3 - 16*j**4 + (j**3 + j**3 - j**3)*(-4*j - 25*j - 6*j) as v*j**3 + z*j**2 + p + s*j + t*j**4 and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - -4202. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6\/19)\/k*k*k)\/(k*k*k**(4\/21))*(k**(-17)\/k*k)**7 assuming k is positive.\nAnswer: k**(-47683\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*b + 3, 0 = -3*b + 4 + 2. Let g(k) = 10 + r - k + k**3 + 3. Is 10 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-22) + (-2)\/11. Let t = s - 0. What are the prime factors of 2 - -18 - (-2 - t)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 - 5*v + 3. Let t be s(5). Suppose 2*g - 6 = -g. Let x be (3 - t)\/(g - 1). Solve 0 = -x*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*a**5*n - 10*a**3*n**3 - 1067*a**2*n**2 + 5*a*n**3 wrt a.\nAnswer: 1140*a**2*n - 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -2786 (c) 2 (d) 0.1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 6*q + 14. Let d be o(-6). Let x = -26 - d. Which is the smallest value? (a) 0.2 (b) -2\/15 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 36*z - 38. Let g be m(1). Let f be g\/(-3)*(-12)\/16*1. Put -1, -38, f, -1\/11 in increasing order.\nAnswer: -38, -1, f, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 720.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4 + (-54)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 5*c - 22 = 0, -5*c + 13 = 801*v - 799*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29443, -29749, -30273, -31021, -31999, -33213?\nAnswer: -34669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5149308*f + 5. Determine r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - (-8)\/2 - 7. Let b(g) = g + 14. Let z be b(y). Suppose 0 = 4*q + v - 16, -z*q + 4 = -3*q - 3*v. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 + 7208788*u\/3 - 86505488\/9.\nAnswer: 2*(u - 4)*(u + 10813186)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7628, -7161, -5900, -3449, 588, 6607?\nAnswer: 15004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20655284.\nAnswer: 2, 13, 397217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/7 - 22\/35. Let l = -6.14 + 6. Let d = -2.86 + l. What is the biggest value in 0.01, v, d?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*t**2*w - 8*a*t*w**2 - 2*a*w - 6*t**2*w**2 + 2*t**2*w wrt w.\nAnswer: -16*a*t - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3904263001 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127444.\nAnswer: 2, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1))\/8 + (-24)\/(-10) + -1?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 122 = 168. Suppose -6*x - 25 + s = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4685 - 3*p + 4691 - p)*(-3 + 5 + 0).\nAnswer: -8*p + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*d - 5, -3*b + 8 = -5*d. Let u be 18\/66 + (-110990003)\/b. What is u rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/5, 0.4, 221.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 5. Let p be 1\/2 - 66\/12. List the prime factors of o(p).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 52. Let f be 4\/d*164*(-300)\/8. Round f to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658 is divided by 111.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632292 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5213 - 0.1023. Round r to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) -1 (c) -2\/9 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 708 + -698. Suppose 3516 = d*g - 5014. What are the prime factors of g?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in 0, 4\/795, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -63, -135, -245, -399, -603?\n\"Answer: -f**3 - 10*f**2 - 3*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2570 - -1720. Let l = d - -2519\/3. Find the common denominator of -9\/5 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -208.1. Let f = 9.7 - -3.3. Let h = -1.3 - -0.8. Put f, u, h in increasing order.\nAnswer: h, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 10*k + 2*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -28 + 118 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 7*y. Let o(b) = -8*b + 6. Let s(l) = -23*l + 17. Let f(z) = 17*o(z) - 6*s(z). Determine k(f(x)).\nAnswer: -4*x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 105, 120, 131, 138, 141, 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/72276 and -55\/19532.\nAnswer: 18574932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.768 and -0.4.\nAnswer: 0.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128\/63 + -44\/63. Let j(y) be the second derivative of x*y**3 - 2*y**2 + 10*y - 1\/3*y**4 + 0. Find l such that j(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(325)*-2)*-4)**2.\nAnswer: -960*sqrt(13) + 62448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h**2 + 277*h + 16. What is f(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0233 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 3, s: 1, y: 3, z: 9, p: 2}. Give prob of picking 1 y, 1 s, and 1 q.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/((-1)\/2). Let z = 1.1 - -14.9. Let w = 19 - z. What is the closest to w in 3, -5, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -42, -4.31, -12, 0.04, 1\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 9*x + 80 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 52. What are the prime factors of ((-180)\/6)\/(l\/(-12))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 9*f**3 - f - 9*f**3. Let y(n) = -5*n**3 - 2*n + 1. What is -2*u(m) + y(m)?\nAnswer: -3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-14) - (-2)\/(-7). Let j(n) = -n**2 + 4. Let x be j(-6). Let i = -37 - x. Put q, 4, i in increasing order.\nAnswer: i, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*f**5 - 2705642*f**3 - 80406424*f**2 wrt f?\nAnswer: 1200*f**2 - 16233852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21\/(252\/5056)*(-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let r = 0.62505 + 49.42895. Let t = 60 + -110. Let z = r + t. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(272))**2 + -3 + -1 + (4 + -2 + sqrt(1088))**2 + -1.\nAnswer: 32*sqrt(17) + 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21? (a) -19 (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:22 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*h + h + 4)*(2 + 14*h - 2)*(4 - 2 + 1) as g*h**2 + i + d*h and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:59 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720))**2 + -1.\nAnswer: 48*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (192\/(-56) + 6)*(3401 - -1). Let u = k - -142. What is u rounded to the nearest 100?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21749 != 21755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 7:47 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from krrkkrrrrrrrrrr?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 48370125*v**2. Let y(m) = -3*m**2. Calculate y(o(r)).\nAnswer: -7019006977546875*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -109. Suppose 3*x - 3*p = 30, 4*x + 2*p - o = p. Solve -4*y = 2*q - 3*q - x, 3*y = q + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -785 + 781. What is the nearest to 0.4 in k, -0.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 108, 219, 380, 597, 876?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7446 is divided by 2142?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 258018283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.083 + -0.083. Let o = i - 36.27. Let d = o + 0.17. What is the smallest value in d, 5, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 5. Let k be r(6). Let i be -3 + 0 - -2 - -1. Let a = i - k. Which is smaller: -1\/6 or a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = -2*h + 101. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/79 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 8*x**2 + 24*x + 67. Determine s(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - y = -2*z - 121, -z - 67 = 5*y. Let d be 90\/z - 2\/(-14). Suppose 6 = -h - 2*h, 2*o = 3*h + 6. Sort o, -1, d in descending order.\nAnswer: o, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -0.4, 5\/4 in descending order.\nAnswer: 4, 5\/4, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 26. Suppose p + p = k. Factor -3*b**2 - p - b + 4*b + 13.\nAnswer: -3*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688141*o - 688102*o + 2262 = 0 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/4*990\/(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + -198. What is the tens digit of 3 + m\/(-6)*448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) 3\/7 (c) 0.7 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6200568 is divided by 1240052.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o**2 - 1. Let u(b) be the first derivative of 3*b**4\/2 - 4*b**3\/3 - b**2\/2 + 7*b + 4041. Determine 4*d(k) + u(k).\nAnswer: 2*k**3 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4969167194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 25*i - 22*i + 27331, 3*i - 20493 = -3*x. What is the greatest common factor of 56 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*sqrt(3)*-2 - sqrt(3)) + -2*sqrt(363) + sqrt(363))**2*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 279859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -16*d + 8. Let i be m(1). Let x(c) = -c**2 - 8*c - 9. What is x(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 6*h = 14. Suppose h*g - 8 = 13*g. Let v = g - -97. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 888780740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 27*j**2 - 13*j**2 - 14*j**2 - 6*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203*r**3 - 12*r**2 + r - 21950?\nAnswer: 609*r**2 - 24*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -872 + 3665. What is the least common multiple of v and 588?\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -685733 (base 12) to base 16\nAnswer: -1975d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 196, 928 in descending order.\nAnswer: 928, 196, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32225224533 - 3?\nAnswer: -32225224540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 179, 4, -1.7, 3, -0.45, -6, -2\/7?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 6*s - s**3)*(2*s + s + 0*s) - 20 - 4*s**3 + 6*s**3 + s**4 + 21.\nAnswer: -2*s**4 + 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14622496 is divided by 913905.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 28374302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 532, 5, 19, -2, -5, -3280 in decreasing order.\nAnswer: 532, 19, 5, -2, -5, -3280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 7*n**4 + 10*n**4 - 2*n**3 - 5*n**4 - n**4 + 2*n**4 + 0*n**4 + 2*n**4 - n**2 + n**2 + (1 - 1 - 1)*(3*n - 3*n - 2*n**4) + 0 + 0 - 2*n**4.\nAnswer: 15*n**4 - 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m - 5. Let g(b) = 28*b + 623. Let n be g(-22). Determine u(n).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1116 + 1118. Let y be 0\/(-8)*(-2)\/(-4). Let n(d) = d**3 - d**2 + 6. Let o be n(y). Solve r = 5*k - o*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*r - 10. Let w(j) = -j**3 + 12*j**2 - 8*j + 3. What is the tens digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341\/643 + -3337\/216048. What is the common denominator of 41\/56 and t?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 14537.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 10. Let a = g - -4. Let p = -71\/2 + 34. What is the nearest to -2\/5 in 0.3, p, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1214\/3 - -404. Which is the closest to -1? (a) 5 (b) 1\/26 (c) q (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22830, 22834, 22840, 22848, 22858, 22870?\n\"Answer: m**2 + m + 22828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -61 + -108 - -18?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 257893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 9. List the prime factors of a(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/145 - -2326\/435. Let v = u - -3. Find the common denominator of v and 71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by 48.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 + 2321 - 2*n**5 - 4*n**2 - 2321.\nAnswer: -2*n**2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsnm when four letters picked without replacement from mslmfnsnmmmnmmmnfsm?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**3 + 964 - 17*g**4 + 16*g**4 + 32*g**3 wrt g?\nAnswer: -4*g**3 + 105*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54521*f**2 + 2290678*f?\nAnswer: 109042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41430234619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q**2 + 1. Let b = 469 + -468. Give t(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11595908, -23191832, -34787756, -46383680, -57979604?\nAnswer: -69575528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001962 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 26*w - 22*w = -20, 21 = 5*m - 6*w for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -111111100010001100000?\nAnswer: -111111100010001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37127*q**2 - 165*q**3 + 30 - 37129*q**2 - 30 + 3 - 3 + q**3 + (3*q + 3*q - 7*q)*(4 - 4 + 2*q**2).\nAnswer: -166*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6980*h**4 - 16391.\nAnswer: 27920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let d be m(-2). Suppose -8 = -0*q + d*q. What is the units digit of 11 + (-3)\/((-3)\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 904*a - 4 + 921*a.\nAnswer: 17*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 55382, -4 in decreasing order.\nAnswer: 55382, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 0.4, 422, -75?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4 + 19. Suppose -u - m = 0, 4*q - 2*u - 28 = 2*u. Calculate the common denominator of q\/(-4) + 799\/306 and -149\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -21. Let s be (-10)\/((-400)\/15) - (-1)\/(-8). What is the nearest to 2\/7 in 5, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -10)\/((-13)\/(-1)). Which is the third biggest value? (a) 0.02 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 999905749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossnssonnssssnnon. Give prob of sequence ss.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.25 (b) -0.5 (c) -4\/7 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*u + 16*u + 3*u**2 + 2*u**2 + 4*u**2 - 5*u**2 - u**2 + 4*u - 4*u + (0*u - u**2 + 0*u)*(4 - 2 + 0))*(426 - 15 + 413) + (-u - u + 3*u)*(u + u - 4*u).\nAnswer: 822*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11301 (base 9) in base 3?\nAnswer: 101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001607368 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390873 is divided by 12608?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiz when three letters picked without replacement from ikqzkkkki.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.641*-0.5\nAnswer: 1.3205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 10*w**2 + 8*w - 3. Let s be o(-9). Suppose -4 = -s*g + 2. Which is the smallest value? (a) 4 (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70173 is divided by 706.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 4*h**2 - 7 + 2 + 1. Let a be y(2). Put 15, 2, a in ascending order.\nAnswer: 2, a, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 - 10*d**4 - 756*d**3 + 8640*d**2 - 19008*d = 0. What is d?\nAnswer: -22, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18210525 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 103.57. Let d = 0.0388 - -6.9912. Let q = d + l. What is q rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10 + 11*z**4 - 7*z**4 + 7*z**4 wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17925158.04 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 + (-62 - 227 - -89).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 2. Let q be 0*-2*1\/(-4). Let l be c(q). Suppose -5*g = -l - 68. Solve g = 3*x - f, 5*x - 6 - 6 = -4*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kusu when four letters picked without replacement from {n: 2, u: 2, k: 1, b: 2, s: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(3 - 51\/18). Let k(g) = -g**3 + 3*g**2 + 2*g. Let w be k(4). Let d be (w + 2)*(-4)\/q. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44948907, -44948901, -44948893, -44948883, -44948871, -44948857, -44948841?\n\"Answer: o**2 + 3*o - 44948911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -4 + (-3 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7810.4 less than -1.71?\nAnswer: 7808.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*c = 0, 19 + 14 = -3*i - 5*c - 19 + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4 - -10) + (-4 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18242*j**2 + 645*j**3 + 17920*j**2 - 199*j**3 wrt j?\nAnswer: 2676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + -8. Let u = b - 14. Let j = u - -58.482. Round j to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37)\/(185\/300) + 7. Is -46 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 1125*z + 314847. Determine y(602).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/7)\/(w\/(w*w\/((w\/(w\/(w\/(w\/w**(-1\/4))*w)))\/w))))\/(w**6*w**7))\/((w\/(w*w**(-2\/3))*w*w)\/((w\/(w**(1\/3)*w))\/w)*w**4*w**7) assuming w is positive.\nAnswer: w**(-725\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3\/7, 7080, 0.0443, 2 in decreasing order.\nAnswer: 7080, 2, 0.0443, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 33. Let l = q + 10. Which is the closest to -1\/4? (a) -3 (b) l (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cldllpdlullpclcfd. Give prob of picking 1 p and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -23, 6, 57, 136, 249?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + m. Suppose -4*h + 3*h = 0. Let r be s(h). Suppose 17 = 125*x - 108*x. Which is the second biggest value? (a) x (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-26)\/(-10))\/(9 - 8). Suppose 4*w = 2*w + 10. Sort w, -0.01, o in decreasing order.\nAnswer: w, -0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 5*t = -14. Let g be (34\/(-4))\/((-1)\/2). Find the third derivative of 0*n**4 - g*n**2 + 31*n**t + 2*n**4 - 17*n**2 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5 - 5 + x. Let d(c) be the second derivative of -2\/3*c**4 + 0*c**2 + 0*c**3 + 0 - 3*c. Give d(q(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 384*y + 615*y - 992*y + 51 - y**2. Determine h(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 38 + 28. Suppose 0 = -3*r - 158 - g. Let s be (-3)\/4 + (-45)\/r. Solve 2*q = -4, s*q = t + 2*q + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6 less than 7467262117?\nAnswer: 7467262098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11758 bigger than -11807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 + -20 - 48) + 22 - (2 + (-49 - 0)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*c - 3454 = -1693*c - 158680 for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6098 - 1356*y**3 - 98*y**3 + 6098.\nAnswer: -1454*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 - 173. Is 3 a factor of 2\/(-3)*-26*s\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -8 - -22 - (4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1786 and 2192315.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*f - 100*f = 4740. What is the remainder when f is divided by 98?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 12233?\nAnswer: -12302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 7*y - 1. Let a = 23 + -16. Let v be f(a). What is the units digit of (v\/2)\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2644 and 15045682?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.8 + 353. Let u = d + 67.8. Do 2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483106 is divided by 35312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let f(y) = -467*y - 30. Calculate n(f(z)).\nAnswer: -1401*z - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11057, -21702, -32345, -42986, -53625, -64262?\n\"Answer: h**2 - 10648*h - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1968 and 7368.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - 56550\/(-210). Let r = n - 190. Calculate the remainder when r is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 990, 1980, 2970, 3960, 4950?\nAnswer: 5940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 307586439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 - 66*t - 46. List the prime factors of x(18).\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 4416301.\nAnswer: -17665204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -16, -y - g - 2 - 5 = 0. Let n = 23 + y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let r(i) = -21805*i**2. Give r(k(l)).\nAnswer: -21805*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72\/205 + -2\/41. Let l = 3 - 8\/3. What is the closest to 2\/5 in b, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492568026 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 3506 (c) -3 (d) 0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (16 - 14) - (0 + -4 + 21)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15859, 63523, 142987, 254245, 397291, 572119, 778723?\nAnswer: 1017097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-8\/3)*x*x*x)))**(-44) assuming x is positive.\nAnswer: x**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 16 + 21*c to the form b*c + p and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/12)\/(3\/8). Let c be ((-4)\/v)\/(1\/(-6)). Suppose -c*u = 4, -o - 2 = 2*u - 9. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (1 - 1) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*4\/(-23). What is the fourth biggest value in x, -1\/4, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 15*k**2 + 15*k + 22. Let d be f(6). Solve 0 = -2*c - 4*j + d, 5*c = -2*j + j - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q + 15*q - 41*q**3 - 39*q.\nAnswer: -41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 3*t + 24*t**2 - 6*t - 26*t**2. Let z(s) = -21*s**2 + 5. Let v(w) = -10*w**2 + 2. Let g(m) = -5*v(m) + 2*z(m). Calculate g(d(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (6 - 5) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v + 2 + 2*v)*(7*v + 4*v + 12*v).\nAnswer: 138*v**2 + 46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 1, -5, 25, 7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, h: 1, c: 2}. Give prob of picking 1 h and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f = 30*f + 33915. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k - 26*k = -58*k - 81 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*o - 16, -3 = c - 5*o + 7. Let k = 253\/1560 - 1\/120. Sort k, -1, c, -2.\nAnswer: -2, -1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50760 and 26420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 311477517 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 - 157494*t + 1102605 = 0.\nAnswer: -52505, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-7))\/((4\/(-24))\/((-90)\/108))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539)*-2 - sqrt(152)\/((sqrt(432)\/sqrt(9))\/sqrt(6))) + -3.\nAnswer: -19*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:35 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 738727*h + 3926301 wrt h?\nAnswer: 738727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 3, -2*x - 142 = 2*k. Let v = k - -94. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*q - 9*q + 16*q)*(-28 + 2 + 13)*(q**2 - q**2 - q**2).\nAnswer: -403*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -129 - 2cc?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/7 + 0 + 190\/14. Solve -2*s = -2*w - c, -4*s = -2*w + 2 - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*h + 181*h = 640 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 5, u: 1, o: 1, t: 1, b: 2}. Give prob of sequence pot.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1*(-1 + sqrt(128))*5 + -3)*5)**2.\nAnswer: -26000*sqrt(2) + 84225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 - 4284090*m**2 + 38495136.\nAnswer: -8*m**3 - 8568180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 99*((-3)\/(-9) + 0 - -3). Calculate the greatest common divisor of o and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56304, -224904, -505856, -899154, -1404792, -2022764?\n\"Answer: g**3 - 56182*g**2 - 61*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 4 + 2 + (27 - 10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7*t)\/((t\/t**(2\/9))\/t))**(4\/7) assuming t is positive.\nAnswer: t**(296\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 + w + 3. Let s be y(3). Let b = 159 - s. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p - 103*p + 654 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*i = -0*h, -4*h + i + 55 = 0. Let d(j) = -3*j + 6. Let s be d(2). Suppose -b + s*v = -4*v - 30, -5*v = h. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617 - 6779 = -4*k. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00098009015 to seven dps.\nAnswer: 0.0009801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 200*i**2 - 45*i + 825. Let l be u(31). Round l to the nearest one thousand.\nAnswer: 192000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-110))\/(54\/(-210)*(-42)\/4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen tenths of a millimeter?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3293601 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 5*r**4 - 3*r**4 - 1 - 4*r**2 - 2*r**3 to s + d*r**2 + w*r**3 + h*r**4 + b*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by -68.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45802482112.000002548 + 45802483491. Let b = s - 1379. Round b to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 2*z + 6. Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -141956.08 to the nearest ten.\nAnswer: -141960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6059\/39308 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18064*-36.6.\nAnswer: -661142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5858?\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336894 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -287, -289, -291?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -861*x**5\/20 + 55*x**3 - 5*x + 4. What is the second derivative of c(z) wrt z?\nAnswer: -5166*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 8*f**2 + 3*f - 72. Let a(v) = v**3 + v. Let u(w) = -2*a(w) + o(w). Let j be u(-9). Which is bigger: -4\/41 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 12*l + 37. What are the prime factors of b(15)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 25 + (129 - 86) + -1 + -16\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029046 rounded to 4 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52267*f**3*r**2 + f**3*r + 6390*f wrt r?\nAnswer: -104534*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43605 and 166850.\nAnswer: 1455098850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from nnxhhhxhhxnxejxexhh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 97 = -4*u, -o + u + 40 = o. Suppose 21*j = 99 + 132. What is the remainder when o is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7)\/g)\/g)\/(g\/g**(1\/2)) assuming g is positive.\nAnswer: g**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 18*a - 22*a.\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/240 + -1\/20. Let b(u) be the third derivative of 0 + 3*u**2 - 1\/120*u**5 - k*u**4 + 1\/6*u**3 + 0*u. Factor b(l).\nAnswer: -(l - 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-56) - 464\/630 - (-62)\/279?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/72 and 79\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:55 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 66 = -164. Suppose -11*a + y + 10 = 0. Solve -3*d = a + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*i + 359 - 181 + 558 = 0. What is the remainder when 131 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(2*f**5 + f**5 - f**5) - 28*f**5 + 20*f**4 - 20*f**4.\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 176, 2, -12, -2\/29, -3, -0.9?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 3. Let b be h(-3). Let z be (-1580)\/(-28) - b\/14. Suppose 29 = t - 2*x, 4*t - x + 5*x = z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3.5. Suppose t - 24 = -3*t. Let n be t\/28 + 3\/(-6). Which is the biggest value? (a) n (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:17 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -33*n + 11. Let k(q) = 8*q - 3. What is -2*j(s) - 9*k(s)?\nAnswer: -6*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + u = 8, -3*o + 10 = -4*u + 2*u. Suppose -o*w - 2*w = 120. Is ((-16)\/3)\/(4\/w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 2. Let x = 135 - 98. Suppose x*g + 45 = 46*g. Let b(f) = -2*f + 1. Calculate g*b(a) + 3*s(a).\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 - 3 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5 or 20?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 - (-520 - -546).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 0.1402507573743.\nAnswer: 0.2302507573743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 1:23 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.22 - -0.42. Let v = o + 0.8. Let k be (-15)\/12 + 2\/2. What is the closest to 5 in v, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 13 in decreasing order.\nAnswer: 13, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {w: 5, o: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, i: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 - 20*d**2 + 20*d + 17. Let i(p) = 11*p**2 + 213897*p + 2*p**3 - 213904*p - p**2 - p**2 - 6 - 2*p**2. Calculate 17*i(s) + 6*q(s).\nAnswer: -2*s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -3. Let h be (-6)\/6 + (1 - -1). Let d be (0 - -1)*h\/(-7). What is the nearest to -0.1 in x, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 - 18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 5*a - 20 = 10*r, 18*r + 12*r + 5*a = 145 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 496210, 992581, 1488952, 1985323, 2481694?\n\"Answer: 496371*d - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2830*g**4 - 5*g**3 - 2486*g**2. Let n(m) = 4244*m**4 - 7*m**3 - 3729*m**2. Let w(f) = -5*n(f) + 7*r(f). What is the third derivative of w(y) wrt y?\nAnswer: -33840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t - 6, -t + 4 = d. Suppose u = -d*u. Let n(v) = v**3 + v + 49. List the prime factors of n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75575192.\nAnswer: 2, 7, 11, 79, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y + p + 11, 2*y - 4*p = -6. Solve y*l + o + 8 = 0, 3*o + 6 = 5*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165525.\nAnswer: 5, 19, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (29 + -30 - (7 - 2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.38809 to 0 dps.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460 by -230.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmim when four letters picked without replacement from {i: 14, m: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -186, -190, -196, -204, -214, -226, -240?\n\"Answer: -c**2 - c - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.5. Let n(j) = j + 14. Let r be n(-10). Suppose -r*o - 4 - 12 = 0. Which is the closest to 0? (a) o (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4\/18 - (-31)\/(-18))*-12 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/12, 1, -2\/9 in descending order.\nAnswer: 1, -2\/9, -7\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -884.7 + 885. Put y, 7, 0.05 in ascending order.\nAnswer: 0.05, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5127, 4927, 4719, 4503?\n\"Answer: -4*s**2 - 188*s + 5319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 15. Suppose 5*m + 4*a = -67, m - 4 = 3*a + 2*a. Let c be q(m). Suppose 5*l - 96 = 2*x + 2487, 0 = -4*l - c*x + 2044. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520869227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 25. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/50)\/(2618\/(-2380))?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 - 6) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/10 - (36\/30)\/(-3). Suppose -b = -z - 4, -2*z - 2*z + 29 = 5*b. Sort 2, w, b in decreasing order.\nAnswer: b, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a factor of 15473540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*u**3 - 130*u**3 - 104*u**3 + 510*u**3.\nAnswer: 1108*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -187269.\nAnswer: 5\/187269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = 3*k, -4*l + 8 = k + 2*k. Suppose 4*m - 392 = l*m + 4*v, 208 = m - 5*v. Let o = m + -89. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.4. Let v be 11\/90 + (-16)\/72. What is the nearest to w in v, -5, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*m*p*w**2 - 5*i**3*m + i**3*w - i**2*m*p - 19*i**2*p*w**2 - 2*i*m*w**2 - 2*i*p*w + 2*m*w wrt w.\nAnswer: 4*i**3*m*p - 38*i**2*p - 4*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11175 + 2848 = 119*f - 498*f for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 335*v - 2001\/2.\nAnswer: -(v + 3)*(v + 667)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 1. Let t(o) = -3*o**2 - 3. Calculate -17*j(a) - 6*t(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420864 (base 9) to base 11.\nAnswer: -494143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(76)*1 + 0 + sqrt(76) + 1 + sqrt(76) + sqrt(76) + 1 - ((sqrt(76) - sqrt(76)*-1)*6 + 3*sqrt(76)*-2 + 2)))**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 13. Let z be h(7). Suppose 4 = q - 6. Suppose -4*f = -z - q. Solve 2*v + 6 = -f*i - 8, 5*i + 16 = -3*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -50. Solve -w = -2*w + d*g - 17, 3*w - 25 = -4*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4043222826 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154813 divided by 4.\nAnswer: -154813\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 0, -3*z + 40 = 2*z + 5*h. Let b(j) = -j**3 + 7*j**2 - 4*j + 6. Calculate the smallest common multiple of b(6) and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.8 minus -4189?\nAnswer: 4385.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n + 6. Let t(y) = 6*y + 3. Let l(g) = -4*d(g) + 9*t(g). Give l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) + (-1 - (-26)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 1413108*c**2 - 2826207*c + 1413102 = 0.\nAnswer: 1, 471034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.035 (b) 1\/4 (c) -0.3 (d) 0.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2067 + 1029 + 1038 - 30*v + 20*v + 12*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379 - 237. Let p = b + -145. Let l = 0.05 + -5.05. Sort 1\/5, p, l.\nAnswer: l, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 598*i**2 + 587*i**2 - 6 + 4.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from kktk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 387*b**3 + 2*b**2 + 2*b. Let g be u(-1). Let r = 384 + g. What is the nearest to -0.2 in r, -3\/4, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + l + 3. Let r be s(0). Let t(v) = v + 4. Let m be t(-3). Let x = m - -4. Is r != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - x**2 + x + 1. Let s(z) be the second derivative of -z**3\/6 - 9*z. Let l be s(1). Calculate the remainder when 5 is divided by o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-4587))\/((-4)\/1646). Let l = b - -2\/139. What is f in -l*f**2 - 24\/11*f - 16\/11 - 2\/11*f**3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 2*g**2 - 3*g - 1. Let v(i) = -12*i**3 + 31*i**2 - 47*i - 32. Let b(y) = 13*n(y) - v(y). What is b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1248)\/(-288))\/(22\/(-60) + (-15)\/50).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*(-3 + sqrt(3) + 0 - sqrt(3)) - (5 + 1*sqrt(300))))**2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-16))\/(14\/28) + (20 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*z = -1, 2*w - 2*z - 3*z - 29 = 0. Let i be (-42)\/9 - (-2)\/(-6). Let t = w + i. Solve -3*b - 3*c = -15, -c + 0*c + 6 = t*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (4 + (4 - 1) + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 26*t**2 + 166*t - 8. Let n be u(11). Let h(j) be the second derivative of -1\/2*j**2 + 0 + 1\/6*j**n - 5*j. Determine h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 15\/25)\/((-3)\/(-75)). Let q = 183 + o. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*n + 24*n. Let m(a) = -10*a - 4. Let k(v) = 5*v + 2. Determine n*m(f) - 5*k(f).\nAnswer: -5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88950, 177907, 266864?\nAnswer: 355821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 471159 = 4*q - 3011179, -y - 2539975 = 5*q. Round y to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39 and 1709?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdfbvns. What is prob of sequence bfdv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 5*u + 0*u**2 + 0 - 1\/2*u**3. Let t(l) = 2*l**2. Give t(h(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3946 * 0.15.\nAnswer: -0.05919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**4\/5 + 114*h**3\/5 + 844*h**2\/5 - 2346*h\/5 + 532\/5 = 0. What is h?\nAnswer: -7, 1\/4, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3896 + 13277. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 1\/8*x**4 + 4*x**2 + 0*x + 0 + 1\/15*x**5 + 0*x**3 + 1\/120*x**6. Let g be j(-2). Let q(z) = 3*z - 3. What is q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -978793 divided by 1.\nAnswer: -978793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205\/7 + -29. Let g be (-1 - 1)*((-7182)\/(-12))\/63. Suppose 2*q = -4*r - 0*q, 0 = -5*r - 2*q. What is the closest to j in -0.3, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*j - 50, 52376*j + 2210 = 52597*j + w for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100835 divided by -20167\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 2*d**2 + d - 2. Calculate q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 0.2, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64489472213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r. Let z(p) = -2*p. Let g = -303 - -294. Let l be (-2128)\/342 - ((-7)\/g - 1). What is l*s(w) + 26*z(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = -0*f - 4*j, 0 = j. What is the second smallest value in 0.2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11 = -3*k. Let c = -7 + k. Let f be 0*(8\/32)\/(2\/(-4)). Solve 3*d = -9, 0 = -f*r + 2*r + c*d + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((44 + -43)*(0 + 1))\/(-3). Suppose -5*m + 65 = 2*l, -5*m + 21 + 4 = 0. Let w be ((-8)\/l)\/(3\/5). What is the nearest to w in 4, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*a**3 - 8*a**3 + 11*a**3)*(-4 - 2 + 2) to the form w*a**2 + k + y*a + s*a**3 and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -36*x + 31\/20*x**5 - 11\/3*x**4 + 0*x**2 + 0*x**3 + 0. What is the third derivative of q(z) wrt z?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347700 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -124. Solve 3*b = b - 6, 3*z - 3*b = y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(3) - sqrt(12)\/sqrt(4)) - (sqrt(3) + 5*-2*sqrt(3))) + -4 + sqrt(3) + 0 + sqrt(12) + sqrt(3) + 1 + -4)**2.\nAnswer: -260*sqrt(3) + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + (-95)\/182. Let w = q + 43\/182. Let d be 892\/14049*9\/(-2). What is the fourth biggest value in w, d, -2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-6 - (-19 - -4)) + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(0 - 0 - -1). Let n(c) = c + 2. Let d(o) be the third derivative of -o**4\/8 - 11*o**3\/6 - 16*o**2. Let v(q) = d(q) + 4*n(q). What is v(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(20*p**2 - 4*p**2 + 2*p**2).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = -7532 + 24422. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281767136 a multiple of 8814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16044 divided by -7.\nAnswer: -2292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 12. Suppose -4*s = 2*p - 24, 0 = -u*s - 4*p + p + 24. Let j = -1 + 3. What is the second biggest value in s, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Solve 0*x + 6 = -h*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 at most -2221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -859, -3367, -7513, -13291, -20695?\n\"Answer: c**3 - 825*c**2 - 40*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09934 * -0.54.\nAnswer: -0.0536436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 5*i**2 + 11*i + 13. Let a be j(-2). Suppose -p + 2*p - a = -3*u, -p - 4*u - 2 = 0. Calculate the lowest common multiple of p and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456895400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -582 (b) -1 (c) -0.4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let v(r) be the second derivative of -r**5\/20 + r**4\/4 + 2*r**3\/3 + 2*r**2 - r. Let k be v(m). Solve -k*n = 3*g + 2, 3*g - 10 = n - g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.804802? (a) -0.3 (b) -4 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 180 - 97 + 22*t.\nAnswer: 22*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 2*f**2 + 1520*f**4 + 1 - 1528*f**4 in the form w + h*f**3 + y*f + m*f**2 + t*f**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*62\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 87\/2 of a meter?\nAnswer: 4350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2 + 427008*v + 11395989504 = 0. What is v?\nAnswer: -53376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2535)\/(-10)*(-3)\/(36\/(-32)) is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g + 17. Let t(h) = h**3 + 8*h - 18. Calculate 6*d(o) + 5*t(o).\nAnswer: -o**3 - 2*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 1. Let m(w) = 5*w**3 + 13*w**2 + 17*w - 31. Let v(f) = -5*g(f) - m(f). Let o be v(14). Round o to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in -4, 2\/7, -2\/25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -62c55?\nAnswer: 62c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:47 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -5, 6 in decreasing order.\nAnswer: 6, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/6)\/(2\/(-6)). Suppose -4*l + 17 = -h - 0*l, 5*l - 18 = -2*h. Let f be (1\/(-2))\/(h\/6). Solve 0 = f*p + n - 6*n + 1, -p = s*n + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - (12\/3 + -2727)). What is the greatest common factor of 218 and i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 + 260 = 3*j + 5*z, -2*j + 3*z = -333. What is the highest common divisor of 99 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q + 3. Let i(h) = 231*h - 88. Let g(v) = 3*i(v) + 88*p(v). Let w(k) = -k**2. Calculate g(w(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11340 divided by 10\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - 2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350620 is divided by 112.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6554*u**2 + 192*u + 191. What are the prime factors of l(-1)?\nAnswer: 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -12, -4, 4, -30, 1, -2 in decreasing order.\nAnswer: 4, 1, -2, -4, -8, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 22 + 18. Differentiate -28*o**q - 13*o**2 - 20*o**4 - 15 + 13*o**2 with respect to o.\nAnswer: -192*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3840 and 1360?\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let s = -0.2 + 0.3. Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p*p)**(-25)*(p*p*p*p**(-6))\/p**(1\/3))**(21\/2) assuming p is positive.\nAnswer: p**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 - 623?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-2)\/4) + 13 + -23. Let k be (-1 - (-26)\/(-4)) + 0. Let h = j - k. What is the smallest value in h, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - -2*sqrt(180) - sqrt(180)*-1)\/(sqrt(99)\/(sqrt(11)*1)*-2).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 6)*(2*x**5 + 0*x**5 + x**5) + 3 - 2*x**5 - 3.\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 13.22. Let f = 25.02 - 25. Let v = f - d. What is the nearest to v in 3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 5, 7, 9, 11, 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.273 + 9.2. Let v = 0.05 + r. Let t = v + 0.02437. What is t rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*d - 3*q, 5*q = -9*d + 10*d - 31. Solve d*b + 0*b = -36 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((96\/(-60))\/(5*6\/25))*8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2409 + 166?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 1. Let d(k) = -5*k + 4. Let a(r) = 3*d(r) + 8*n(r). Let j be a(-8). Sort -0.5, j, 1\/5.\nAnswer: j, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3964116 divided by -12?\nAnswer: 330343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 166643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5930\/(-21348)*2\/25*-2.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhr when four letters picked without replacement from hhhrhhhhhhhhrhhhhhrh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 + 1001000001?\nAnswer: 111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.5 (b) 3\/2 (c) 3 (d) -16.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 1649 = -804 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 16. Let l be i(-8). Suppose -3*n + l + 3 = 0. Let g(q) = 2*q. Give g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*m + 8 = 0, -3*m - 3618 = -5*p - 3608 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 - (3 + (-4 - -3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/4 + 23\/2. Let g = 2\/4793 + 4787\/14379. Let m = 118 - 69. Which is the smallest value? (a) m (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592843 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + h - 6*h + 2*h + 2*h**4 - 332*h**2 - 485*h**2 to z*h + r*h**2 + v*h**4 + x*h**3 + w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3256303 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/161*(-14)\/16.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-85)\/20*6*-1 and -103\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 16, x: 4}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.808 - 0.359. Let w = 923.951 + -924. Let n = d + w. Does 0.2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*i**3*t**3 + 6651*g*i**2 - 580*g*t - i**3 + 3*t**2 wrt t?\nAnswer: 3*g*i**3*t**2 - 580*g + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q - 3. Let y be d(2). Let k(h) = 2*h**2 + 17*h - 2. Let a(n) = n**2 + 16*n - 2. Let x(j) = -3*a(j) + 2*k(j). Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5851752 minus 0.22?\nAnswer: -5851752.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14d - -1?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, i: 3, s: 1, e: 3, x: 3}. What is prob of sequence ikse?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 10) to base 11\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2 - (-10)\/(-2)). Suppose -4*x - 5*w - 57659 - 34361 = o, -5*w - 115020 = 5*x. Round x to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996*p = 997*p - 648. Suppose 11*m - p - 3048 = 0. Is 45 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -363789*p. Let m(v) = -6*v**2. What is q(m(y))?\nAnswer: 2182734*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 3*x + 3. Let y be u(-3). Suppose 5*l - 2*n - 25 = 0, 4*n + 2 = l - y. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.049, -2, 1\/4, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.15, -2\/5, -0.5, -1\/4, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-4) + 2 - 3. Let q(w) = 3*w + 6. Calculate q(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 + -109 + (4 - -1) - (-1 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35.78 * -6\nAnswer: 214.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1774 - -1771.841. Let n = 0.159 + d. Which is bigger: -27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -25*n**2 + 4343*n + 1260. Give a(174).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -141524 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*1152\/(-2592)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/46 - -227\/138. Let a(k) be the first derivative of -1 - k**2 - 1\/4*k**4 - p*k**3 - k. Determine a(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.16232 and 184?\nAnswer: 140.83768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1065492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = -128 + 383 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/11)\/t)\/t*t**4*(t\/t**(-1))**26 assuming t is positive.\nAnswer: t**(601\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -514.\nAnswer: -5.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 - 61. Calculate the highest common factor of a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56957.\nAnswer: 56957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31958, -31902, -31836, -31754, -31650, -31518, -31352, -31146?\nAnswer: -30894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -9. Let f be (8\/p)\/(6\/7). Find h such that 2\/3 - f*h**2 + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*p - 2*p - 383 + 217 = 0, -235 = 5*d - 3*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301213 + -101?\nAnswer: 2301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467255321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50517 and 0.57?\nAnswer: 50516.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*(q*q\/q**6)\/q*q)\/(q*(q*q*q\/(q**(1\/3)*q*q)*q)\/q)**(4\/7) assuming q is positive.\nAnswer: q**(-437\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3752\/23937 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 2*r = s + 5, s + 5 = -22*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18671 - 18671. Let b(u) be the third derivative of 0*u - 10\/27*u**3 + 4*u**2 + 1\/12*u**4 + x + 1\/270*u**5. Factor b(g).\nAnswer: 2*(g - 1)*(g + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 0, -1, 1, 7 in decreasing order.\nAnswer: 7, 4, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 6*n + 10. What are the prime factors of y(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4952, -36251, -120974, -285833, -557540, -962807?\n\"Answer: -4452*m**3 - 135*m - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 - 22*y**2 + 2*y**2)*(-4 + 2 + 0) + 4*y**2 - 4 + 3 - 5*y**2 to the form j + d*y + l*y**2 and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 9)*74\/2. Let y be (-6 - (-381)\/(-12)) + (-6)\/(-8). Let t = u + y. Solve t = -0*o - 3*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 182\/(-14))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:43 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61694.778 + 129.778. Let m = 61557.0038 + n. Let z = -8 - m. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49662 divided by 6.\nAnswer: 8277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 4*o. Solve q - 12 = o*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99417, -198866, -298329, -397812, -497321?\nAnswer: -596862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*h = 322*h - 156 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 2\/11, -4\/7 in descending order.\nAnswer: 3, 2\/11, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -0.4 (c) -1\/3 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 22*u**3 - 9*u**2 + 30*u**3 + 8*u**2.\nAnswer: 52*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 3032, 7527, 13820?\nAnswer: 21911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12400*q**3 - 47*q**2 + 47*q + 2. Does 106 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + 27. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let y(m) = -m**3 + 54*m**2 - 50*m - 158. Let k be y(53). Determine s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 4029*o**2 - 87668*o + 81. What is s(-22)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86670094 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - ((sqrt(76) - (sqrt(76) + -2*sqrt(76))) + sqrt(76)))*-4)\/(-2*sqrt(400)) - (1 + sqrt(171)*-2 + sqrt(171) + -1).\nAnswer: 13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109003*b**2 + 84440.\nAnswer: 218006*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyrrryymrrmfrymyymry. What is prob of sequence fry?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in years?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:30 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 3*t**2 - 6*t - 5. Suppose -k - 2*k = -5*d + 1, 4*k + d + 9 = 0. Let q be n(k). Is q\/(-55) - 16236\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2. Let b(s) = -2332*s**2 - 1320*s. Let k(q) = 2*q**2 + 5*q. Let m(t) = b(t) + 264*k(t). Give m(u(h)).\nAnswer: -7216*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = -5*d - 612 + 2484. Calculate the least common multiple of d and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-37)*p)*p)**37\/((((p**(-4\/13)*p)\/p)\/p)\/(p\/p**(-43))) assuming p is positive.\nAnswer: p**(18386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/7 - 433816*x\/7 + 867624\/7 = 0.\nAnswer: 2, 216906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*w + 330, 4*w = 5*w. Suppose -4*c + s = 5*i, -8 + 22 = i + c. Let b(f) = f**3 + 4*f - 2. What is the remainder when b(3) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1117035km in nanometers?\nAnswer: 111703500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 63. Suppose 2*o + 3*b = -b + 64, -a = -2*o - 5*b. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-288)\/3)\/(-3))\/1. What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7631, -31551, -71775, -128309, -201159, -290331, -395831?\n\"Answer: -p**3 - 8146*p**2 + 525*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/21 (b) 1\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 524 (c) 1\/4 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3061?\nAnswer: 30610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/2, 0.05, -0.054, -1, 208?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8063 - -8067. Sort 0.2, -42.2, 0, h in descending order.\nAnswer: h, 0.2, 0, -42.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193*b**3*f**3 + 23*b**2*f**3 + 4*b*f**3 - b*f**2 - 75*f**3 + f wrt b.\nAnswer: -1158*b*f**3 + 46*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/(-3) + -7)*(-1)\/((-1)\/15). Sort -19, -1, -5, p in increasing order.\nAnswer: -19, -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 + 13992*u**2\/5 + 24668187*u\/5 + 10269655694\/5.\nAnswer: -(u - 15614)*(u + 811)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-4 - (8 - (-910)\/(-80))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*a + 1 + 13 = 0, 0 = -v - 4*a + 18. Let w = v + -4. Round w to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 59*n + 6. Calculate the smallest common multiple of 24 and i(8).\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -75*b - 7. Let l be h(-3). Let g be -2*157\/(-2) - 1090\/l. Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1326?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/27*18\/(-4). What are the prime factors of (-12)\/6 - (1 + d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 130*m**3 + 0 + 129*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.049064 decades in months?\nAnswer: 605.88768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7003 and 6439.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 337036 divided by -27\nAnswer: -337036\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 10*k**3\/3 - 7*k - 4. Let r(f) be the third derivative of f**5\/60 - 22*f**2. Determine h(r(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-4)*((-192)\/(-28))\/(-3). Suppose -l + 67 = 5*r + q, 0 = -3*l - 3*r + 129. What is the remainder when 191 is divided by l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3167422 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227 + 102*z + 227)*(2*z - 112 + 112).\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11739742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866390866 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48722444 to the nearest integer?\nAnswer: 6980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 4, h: 3, n: 11}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 89\/5, -1\/6, -5, 2\/13, 0.3.\nAnswer: -5, -1\/6, 2\/13, 0.3, 4, 89\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*t - 28*t + 22720. Let p = -763 - t. Round p to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3 + (-5)\/2). Find the second derivative of -3*j**5 + 4*j**4 - 4*j**n + 4*j wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18852 + 7607 = s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 57, 7, -1, 11, 23.\nAnswer: -1, 0, 2, 7, 11, 23, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 324135 (base 6) to base 4\nAnswer: 12203123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(44))\/((sqrt(8)*-2)\/sqrt(2)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, 0.2, -2\/7, -14.81?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**6 + 24*v**4 + 60*v**3 + 565*v**2 - 3*v - 4?\nAnswer: 360*v**3 + 576*v + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707 - 702. Solve o = 2*i + s*o - 26, -o - 1 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 454238 and 667718.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:06 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 - 4.1. Let i = -2.14 + -0.06. Let w = i + -0.8. Which is the second biggest value? (a) x (b) w (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211300 (base 4) to base 3\nAnswer: -10022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100002201121 (base 3) to base 8.\nAnswer: 6607621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2341*l**2 + 16 + 2339*l**2 - 8*l**3 + 6*l**3 + 2*l**4 - 6*l to the form w*l**4 + x + o*l**2 + q*l**3 + r*l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 38 = 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3111 (base 8) in base 10?\nAnswer: -1609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -58100000 to the nearest one million.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1670, -0.2, -3, -2151?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*w - 48. Let j = 11 - w. What is the second smallest value in j, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/y**(-4))))\/y)\/y)\/((y\/y**(-11\/5))\/y) assuming y is positive.\nAnswer: y**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 7*m**4\/4 + 5*m**2\/2 + 43*m - 3. Let z(v) = -20*v**3 - 14*v - 128. Let j(k) = -17*f(k) - 6*z(k). Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -62*h + 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89142*g = -89093*g + 1613 + 1131 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -5\/4, 0.3, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71\/(-568) + (-16659)\/(-24) + 0 is divided by 55.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -33 + -3 + 37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:22 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 28140594681.\nAnswer: 28140594680.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -171*k**3 + 289*k**2 - 41*k + 1532308.\nAnswer: -513*k**2 + 578*k - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 535061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 3. What is the tens digit of f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8119 = -2509*w - 1917 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1846 + -1840. Solve 4*c + 7*c - l*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 262290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*d + 4*f, -f = -5*d - 0*f + 23. Which is the biggest value? (a) d (b) 2\/11 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 6:28 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:34 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6978 and 7?\nAnswer: 48846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7291072 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -11020?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 8, 5 in decreasing order.\nAnswer: 10, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-3 + 91\/14)\/(1\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 514*x + 1284*x - 3 - 601*x - 493*x.\nAnswer: -324*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/60 and 111\/44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -62*i**3 - 730*i**2 - 1514*i - 774. Let l(o) = 26*o**3 + 292*o**2 + 606*o + 310. Let a(r) = 5*k(r) + 12*l(r). Let a(j) = 0. What is j?\nAnswer: -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/(s**(-4\/5)*s)*s)**(1\/10))**(-44) assuming s is positive.\nAnswer: s**(-528\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.5. Let w = -0.9 - 0.1. What is the nearest to -1 in y, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 102 = 0. Let q = 106 - 79. Let t = h - q. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*f - 7*f - 10, 0 = -w + 4. Let o(t) = 0*t**2 - 63 + 63 - t**f. Let h(i) = 15*i**2. Calculate h(o(a)).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 + 22456038*v**2 + 89824188*v + 89824200 = 0. Calculate v.\nAnswer: -2, 7485350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152019 by -57.\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*f**2 + 43365 - 43365)*(-1 + 1 + 2*f).\nAnswer: 114*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -535?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*c + 1050 + 724 - 170 + 436 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -100, -131, -162, -193, -224?\n\"Answer: -31*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (260\/(-325))\/(4\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d. Let i(u) = -190*u - 1. What is c(i(y))?\nAnswer: 1330*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - -9.9. Let y = v + -11. Let f = 2 - 1.99. Which is greater: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 596*f + 123315. Calculate y(-207).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 - 8*z - 7. Let l be y(-6). Suppose -q + 7 = -3*n, -2*n - 100 = -l*q - 0*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 3*d - 5. Let z(b) = 904 - 445 - 450 + 5*b - 3*b**3. Give -7*v(n) - 4*z(n).\nAnswer: -2*n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/29, 3\/4, -3, -0.2, -5, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 12999860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 349971812 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: Calculate prob of picking 1 v, 1 o, 1 r, and 1 k when four letters picked without replacement from ykrvkvyvorvynyk.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/28, 0, -2.\nAnswer: -4, -2, 0, 1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 1240*k**3 - 115320*k**2 + 4766560*k - 73881680.\nAnswer: -5*(k - 62)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2069324 - 1?\nAnswer: 2069323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42982*p - 2*u + 58 = -42986*p, 4*u - 130 = 9*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0129387981 to 6 decimal places.\nAnswer: 0.012939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a - 54. Let x be n(6). Solve 0*s - 12 = y - 5*s, x = -3*y - 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 94615?\nAnswer: 7\/18923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -d - 535890. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -14.2039 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301212*j**5 - 3313348*j**4 - 12651080*j**3 - 19278240*j**2 - 9639808*j - 512 = 0. Calculate j.\nAnswer: -4, -2, -1, -4\/75303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + -4 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005477121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*r + 14, -j + 2*r - 2 = -r for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19299.29 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8658017\/3 or 2886006?\nAnswer: 2886006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108638 divided by -4.\nAnswer: 54319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 46 (c) 1 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-654)\/3*2\/20. Let x = n + 22. Is 0 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43077, -42988, -42899, -42810?\n\"Answer: 89*u - 43166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 1412119 + 1412119.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 y when four letters picked without replacement from {v: 4, c: 5, y: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2\/19 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29260 and 40868905.\nAnswer: 163475620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1380)\/1518)\/(225\/6930).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22b (base 13) in base 6?\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3424211 - 10?\nAnswer: 3424201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448 and 4130560.\nAnswer: 4130560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(27)*1)\/(sqrt(63)\/sqrt(175) + sqrt(9) - sqrt(9)) + -1 + (0 + sqrt(3) + 2 - (sqrt(6)\/sqrt(2) + -4)))**2.\nAnswer: 150*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-2)\/15). Let g = 1777 - 1773. Solve -5*z - 3*r = 13, d*r = g*z + 4*r + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -10*i + 8*i, 0 = -i + 1. Suppose -2*p = 5*w + q*p - 29, -2*w + 22 = -p. Solve 3*o = -j + w, -3*j + 4*j = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*9\/2. Suppose 5*m - 33 = -f. What is the highest common divisor of 24 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684607665 a multiple of 2919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2a1a5 (base 16) to base 8\nAnswer: -520645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 31. Put -5, u, 0, 3 in descending order.\nAnswer: 3, u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)*h**(-1\/3))\/((h\/(h\/((h\/(h*h*h*h**(-4)*h))\/h)))\/(h**4*h*h)) assuming h is positive.\nAnswer: h**(215\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645.5012 rounded to the nearest integer?\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11382, 11400, 11418, 11436?\n\"Answer: 18*m + 11364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0, 4017\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2455975?\nAnswer: 14735850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2)*2 - 24\/(-6). Let b(y) = -8*y + 18. Let k be b(-9). Suppose -4*r + 7*r = k. Solve -4*p - r = -5*m, v*p - 2*m = -3*p - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-2))\/((-2)\/4). Let o = w - -15. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86\/9 + -679\/72. Let g = 73 - 72. Which is the second biggest value? (a) g (b) s (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**19))\/h*h**(1\/13))\/((h\/h**(-8))\/((h**(-3\/7)\/h)\/h)) assuming h is positive.\nAnswer: h**(-2853\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 1. Let n(v) = 3*v**3 + v + 1. Calculate -d(q) + n(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -40981.3057 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 + 491. Let w = -1556 - -1563. Sort z, 4\/5, w in descending order.\nAnswer: w, 4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*u - 10, -h - 2*u - 2 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 376. Give h(17).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.893 - -0.007. Let w = -10 + b. Let i = 69 + -273\/4. Is w bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -28 + -6 + 3 + 2 + -2. Let b = 30 + t. Let x be 2\/(-13) + (b - 7704\/(-52)). What is the highest common factor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 193.6 and 0.4.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -86 in increasing order.\nAnswer: -86, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 513, 742, 951, 1134, 1285, 1398?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30712521 and 1780436.\nAnswer: 122850084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -374 + 128. Let k = o + 376. What are the prime factors of k\/3 - (-4)\/(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = -r - 2*w, w - 159 = -2*r + 506. Let g = r + -92. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6681, 2, 3\/19 in increasing order.\nAnswer: -0.6681, 3\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513 + 500 - (-73 - 2) - 20.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1332628 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18785 - 18395. Solve -8*a + 390 = l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227979742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19889 is divided by 4291?\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*2 + sqrt(931))**2 + -5 + sqrt(931) - (3 + ((sqrt(931) + 1)**2 - sqrt(931))).\nAnswer: 7439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/(-60) - 6 - (-1056)\/(-3960).\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -5a?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:36 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254958131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, j: 3, g: 2}. What is prob of sequence jjje?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5651445931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - 1323?\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(12\/4)*0. Solve 5*x + 5*j = 2*x - 19, 4*x - 4*j - 28 = t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 5. Let v(i) = -134*i. Determine b(v(n)).\nAnswer: 268*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-243)*153\/51.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 804 - 799. Solve 5*h = f - 6, h + 18 = f - c*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x - 18. Let b(r) = r**3 - 5*r**2 + 5*r + 1. Let p be b(4). Suppose t + n = 2*t - x, -22 = -3*t + p*n. Solve -2*o + t - 10 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101111101000 + -10000011100?\nAnswer: -1101000000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-10 - -8) + -5 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/36 in 1, -0.5, -2\/47, -8?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12792 in -0.4, -4\/3, 1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = -4*z - 13*q, 632*z - 629*z - 78 = -3*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = -k + 6, 3*k = 3*u. Let y(l) = 23*l - 54. Calculate y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5267065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68971369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*i - 4472 - 4636. Calculate the lowest common multiple of 48 and i.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407*u**2 - u**3 + u**4 - 414*u**2 - 3*u**4 - 21 to the form s*u**4 + y*u**2 + f*u**3 + x + t*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 - 68.956. Let h = w + 155. Let i = -85.999862 + h. What is i rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/7, -4, 1\/6, -838, 5 in decreasing order.\nAnswer: 5, 3\/7, 1\/6, -0.3, -4, -838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + -7*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u - 5. Differentiate 33 + 8*m**u + 7*m**3 + 23 - 49 wrt m.\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 + 28*z**4 + 8*z**3 - 184*z**2 - 260*z - 100.\nAnswer: -4*(z - 5)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 2. Suppose 7*q + 13 = 5*g + 3*q, -13 = -2*g - q. Suppose g*d - 3*r - 10 = -2, 1 = -r. Which is the third smallest value? (a) d (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3*s + 118*r**3 + 63*r**2*s**2 wrt s?\nAnswer: -2*r**3 + 126*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 p when four letters picked without replacement from plowoooooooowppopoow.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)\/(n\/n**(-2)))\/((n\/(n\/n**(-9\/5)))\/n**(2\/9)) assuming n is positive.\nAnswer: n**(-134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 17. Let h = u + -5. Let i be h - 2\/(-4)*2. Solve 5*k = i*d - 23, -4*k - 2*d = 12 - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 88, 243, 502, 889, 1428, 2143?\nAnswer: 3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71068*i**3 - i + 164385?\nAnswer: -426408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31923, -3, -2\/5?\nAnswer: 31923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 41*m**2 + 2. Let j(l) = -2*l**2 + 20*l + 56. Let z be j(12). Let o(y) = 4 - y - z - 4 + 8. Give o(t(r)).\nAnswer: -41*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 737.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + 7.88. Let n = l + -7.999936. Round n to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = 11. Solve -h*k - 2 + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Suppose -4*b + 2*k = -6, k = -5*b + 6*k. Let n(j) = 44 - j**2 - 46 - b*j - 2*j. Calculate n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ad - -27?\nAnswer: 2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(2\/129))**(10\/13)\/((y\/y**0)**(-34)*y*y\/(y\/y**3)*y*y**(1\/8)) assuming y is positive.\nAnswer: y**(387227\/13416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 653518406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3764 - -196. Suppose 27*u - 7*u = z. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 5*u**4\/6 + u**3\/6 + 5*u**2\/2 - 4*u. Is v(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c - 2*c**3 + 4*c**3 - 3*c**3 - 2*c**3 + (c**2 + 0*c**2 + c**2)*(-c + 0 + 0) - 40*c**3 - 21 + 21 - 2*c**3 + 7*c**3 - 2*c**3.\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11175 and 53640.\nAnswer: 268200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r - 13\/4*r**2 + 1 + 5\/4*r**3 = 0?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 + 39.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:35 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1044*p**2*q**3 + p**2*q - 8*p*q**3 + p*q - 4*q wrt p?\nAnswer: -2088*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2481088 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 388\/19*k - 2256\/19 - 2\/19*k**2.\nAnswer: -2*(k - 188)*(k - 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -70, 2058 in ascending order.\nAnswer: -70, 3, 2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 2, -172 in increasing order.\nAnswer: -172, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*o = -42, 66*i - 28 = 62*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/4 + 395413*h**2\/4 = 0. What is h?\nAnswer: 0, 395413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 60746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(1\/2)*c*c**(-2\/9)*c*c*c assuming c is positive.\nAnswer: c**(77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1057271 and 806589.5.\nAnswer: 806589.3942729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*q**2*v - 15*h**2*r*v - 2*h**2 - 2*h*r*v - 5*h*r - 4*q**2 - q*r - 1 wrt h.\nAnswer: 4*q**2*v - 30*r*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3235679, -3235666, -3235653, -3235640, -3235627, -3235614?\n\"Answer: 13*d - 3235692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(16\/18) + 28\/1456*-13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1 in descending order.\nAnswer: 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**7\/21 - 11*t**5\/10 - 3*t**4 - 8*t**3\/3 + 29*t. Suppose j(r) = 0. Calculate r.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400000021 (base 5) to base 9.\nAnswer: -6547482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:22 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:05 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 - 4*b + 7*b**2 - 16*b + 20*b. Give l(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20021.0550175 - -20021. Let w = y - -0.055. Round w to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 4\/87685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16240 divided by 6?\nAnswer: -8120\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 14. Solve -4*b = -5*x + 27, -5*x + 25 = -5*b - m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*n**4 + 20*d*n**3 - 7*d*n**2 - 3*d*n - 2*d - n**4 wrt n.\nAnswer: -48*d*n + 120*d - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -5395?\nAnswer: -5391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132752010 + 3?\nAnswer: 132752013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3302.0411 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 1, 0.2, -1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15955, -652, 0.3, -0.5 in descending order.\nAnswer: 0.3, -0.5, -652, -15955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:20 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 1021630326?\nAnswer: -1021630341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.5, -0.3, -1108?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**3 - 11*y**3 - 5*y + 6*y to p*y**3 + t + s*y**2 + z*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 12 = 32*b. Suppose -b*n = -0*r + 2*r - 3346, -4 = -2*r. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3496894794601 minus -0.5?\nAnswer: -15.8496894794601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 361 - 367.08. Let z = -6 - d. Let l = z - -4.92. Which is the second smallest value? (a) 0 (b) l (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)\/y*y)**(2\/15)*y**(2\/13)\/(y**6*y*y*y))\/((y*(((y\/(y*y**(-1\/3)))\/y)\/y)\/y)\/y**(-4))**39 assuming y is positive.\nAnswer: y**(-1298\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(200) + -5 - sqrt(200)) + 1*(0 + sqrt(200)) + sqrt(200) + -3)**2 + -2.\nAnswer: -440*sqrt(2) + 919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376229*w**4 - 2*w**2 + 6070*w - 239 wrt w?\nAnswer: 9029496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095779.\nAnswer: 3, 7, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79698576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 34.32. Let f = d - -0.43. Which is the closest to f? (a) -2 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5208 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678617 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 3*n, 5*g + 348036*n - 348050*n = 361 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a502a9 (base 12) to base 16\nAnswer: -278ea1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.67, -26, -128 in ascending order.\nAnswer: -128, -26, 0.67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140324 + 31?\nAnswer: -140243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102\/5 in -0.5, 0.6727, 1\/4, 4, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 9*v + 14. Let l be m(15). Let f = l + -36. Is f a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -15) + (-28 - -14) + 16 - (-6 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Suppose -4*p + 11 = b, -b - 1 = p - 6. Let z(c) be the first derivative of -2*c**2 + c**p - 2 + 1. Calculate z(f(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336765 and 1010295.\nAnswer: 1010295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 7*m**2 - 12*m - 20. What is x(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3 + 28*a**2 - 3*a - 20. Give q(6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -23 + 43 + -62.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - 1)\/1)\/((-1)\/125) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 > -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1083696824 to the nearest 1000000.\nAnswer: -1084000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = 4*z - r, 0 = 12*z - 17*z + 4*r - 16 - 171 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 4162*n + 108 - 55 + 4155*n.\nAnswer: -7*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*x - 200*x = -5*w - 23, -5*w - 20 = 5*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 230730 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 949, 5, -1\/5, 23, 0.2, -4 in increasing order.\nAnswer: -4, -1\/5, 0.2, 5, 23, 949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d + 5 - 5*d - 5. Suppose -y + 2*u + 12 = 0, -4*y - 3*u + 7 = -30. Let x(q) = 6*q**2 - y*q**2 + 3*q**2 + 4*q**2. Determine x(g(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 0, -2*y + 2*u = 81536 + 18486. What is y rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-1\/23)*(y**(-1\/4)\/y)**(-5\/3))\/((y*y*y**0)**(1\/46))**(2\/31) assuming y is positive.\nAnswer: y**(89749\/42780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - sqrt(65)*1) + sqrt(65))*4 - ((sqrt(65) - (sqrt(65) - (sqrt(65) - sqrt(65)*-2)*-5)) + sqrt(65)))\/(5*sqrt(720)*-1) + -4.\nAnswer: -4 - 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4*s)*(2 + 5 - 6 - 3 + 6 - 1 + (0 + 1 + 1)*(0 + 3 - 2)) to the form l*s + b and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 - (-3 - -1)) + -3. Let u(k) = k + 1. Let l be u(r). Suppose -l = -2*o - j + 1, 3*o = 4*j + 17. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3808950*n - 3808873*n + 385 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**3\/6 - 3*p**2 - 5*p. Let h be q(-4). What is the third smallest value in h, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26*((-1156)\/306 + (-4)\/18). Let o = -219 + 115. Let u = o - l. Solve 2*a - 5*m = -17, 5*m - 16 = a - u*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 9*w**2 + 12*w - 15. Let o be t(10). Suppose -5*z - 32 = -9*z - o*d, 0 = 5*z + d - 19. Solve -3*v = -3*f - 6, 4*f - 2*v = z*v - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 2. What are the prime factors of t(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(441)\/(sqrt(7) - (sqrt(14)\/(sqrt(8)\/sqrt(4)) + sqrt(7))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 63, 13, 2\/23, -5.\nAnswer: -5, 0, 2\/23, 2, 13, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/308 + 31\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from igllliil?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -8. Let t be (-8)\/3*36\/8. Let c = t - -24. Calculate the smallest common multiple of c and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 11*w + 2 + 5, -2*i + 5*w = -7. Let d = 631\/7 - 90. Which is the closest to 1? (a) i (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/(12\/720*12). Solve 11*t = 10*t + 5*v + 5, -t - i*v = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 50*a + 72. Determine g(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 0*z = 3*z - 3, -6 = 3*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a*b*k**3 + 4*a*b*k*m - 2*a*k**3*m - b*k**3*m + 5*b*k**3 - 7*b*k**2*m + 2*b*k**2 - 2*b*m wrt k?\nAnswer: 42*a*b - 12*a*m - 6*b*m + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44601961381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1688*k + 1566*k - 1952 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**39*f**7)\/((f*f**(2\/33)\/f)\/f)**14)**29 assuming f is positive.\nAnswer: f**(-17081\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1577 = 7*q - 3*q, 4*q = 4. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3268728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 525. Is 39 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56948, -56942, -56932, -56918, -56900, -56878, -56852?\n\"Answer: 2*f**2 - 56950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {j: 1, a: 2, m: 4, k: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49569 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 4, n: 16}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18) - 16\/(-576)*-308.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*b**4*h*q + 11*b**3*h*q**2 + b*q**2 + 102*h*q wrt b?\nAnswer: 1524*b**2*h*q + 66*b*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d - 72 = 0. Let s = d + -19. Suppose 5*g + s = 52. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -175 - 1576?\nAnswer: -16eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z + n + 42, 4*z = -2*n - 44. Let i(s) = -s**2 - 10*s + 7. What is i(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2228*z - 9547*z + 2446*z + 2446*z + 2432*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4092*t**4 + 2431*t wrt t?\nAnswer: -49104*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -24. Let c be (-1350)\/15 + l + 3. Calculate the remainder when 66\/c - ((-75)\/(-4))\/(-1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*q + 13830 + 21377, -2*s = -8*q - 70386. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11533 (base 7) in base 4?\nAnswer: 233011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917529?\nAnswer: 3, 19, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 109.2\nAnswer: -7.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29896.\nAnswer: 2, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*l = -17, -2*f - 4*l = 7 - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -42*r**3 + 6*r**2 + 7*r. Let g(o) = -84*o**3 + 13*o**2 + 15*o. Let i(q) = -6*g(q) + 13*l(q). Suppose -7*t - 3 = 4. List the prime factors of i(t).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-10) + 3\/(-15). What is the third derivative of 287 - 287 + 30*s**3 + 0*s**v + 41*s**2 wrt s?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:25 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose 8 = c*p - 1. Let f(a) = -a - 3. Let n be f(-3). Solve -4*g = -h + 3*h + 10, n = -3*g - 3*h - p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - y + 1108 = 0, -n - 103 = -5*y + 133. Let p be n\/(-4) - 2\/8. Let f = p + -37. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 7*z - 1. Let w be 3\/(-18) + (-314)\/(-12). Suppose 2*y + 4*j = 4*y + w, -4*j = -16. Is 5 a factor of q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.03.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -20. Let m be r*(3\/(-8) - 0). What is the smallest value in m, 0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - w + 5 = 0, 4*b + 2*w + 3*w = 23. Let v(y) = 74 - 74 + b*y. Let z(u) = 1 - 1 - 3*u. Give z(v(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -432 - -431.9998. Let z = b + -281.9998. Is 0 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11613.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127838 by 1559.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6006 by 462.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppphppphphpp. What is prob of picking 1 h and 3 p?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooouooooooo. What is prob of picking 2 o?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251 - 264 - q - 3*q**2 + 2*q to j*q + r + w*q**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236309464.\nAnswer: 2, 29538683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(42\/(-18)*-3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*1)\/(sqrt(567)*1))**2 + -4.\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/3? (a) -38\/9 (b) -0.5 (c) 0.5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*s + 31*s + 39*s + 32*s + 31*s - 71.\nAnswer: -s - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 520 - 3992 = 0. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 21. Let o = -0.4 + -0.2. Let l = o - x. Which is the second smallest value? (a) 2 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + 1078\/8. Suppose c - 645 = -5*w. Suppose -3*m + 510 = w. Calculate the greatest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*(v*v**2)\/v*v)\/v))\/v)\/(v**12*v))**(1\/10) assuming v is positive.\nAnswer: v**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 3, -9829, -2 in decreasing order.\nAnswer: 30, 3, -2, -9829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 744 + -748. Put -1, 28, f, 5 in descending order.\nAnswer: 28, 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4664.3801 and 473389.\nAnswer: 468724.6199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*p + 18 = 0, -3*a - 45 = -3*p - 30. Solve -a*w + 24*g = 21*g - 22, -3*w + g = -19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*y - y. Let p be 18\/(-60) - 5676\/(-120). Let t = y - p. What is the remainder when 20 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*2*(-9)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l. Let m(z) = 744827*z**2. Give m(v(k)).\nAnswer: 268882547*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:10 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001421 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 21 = p + 546, -4*z - 4*p = -2124. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezcx when four letters picked without replacement from zxecc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {k: 1, e: 4, o: 1, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 6*r**2 - 9*r - 7. Let j be s(-7). Let p be (5 - -4)*j\/21. Let m(a) = a**3 - 4*a**2 + a - 4. Determine m(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201422 (base 5) to base 8.\nAnswer: 53140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388 = 87*l - 83*l. Let q = l - -572. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-107)\/(-1284))\/(1\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 37329*g**2 - 37329*g**2 - 59.\nAnswer: g**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 29*h. Let n(s) = -s**2 + 2*s + 33430. Give n(u(a)).\nAnswer: -841*a**2 + 58*a + 33430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -149 + 865. Suppose -3*y = y - t. Suppose 252*n - 11743 = -2671. What is the remainder when y is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1998 and 42?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 165, 167?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*l + 1 = 0, 20*p - 17*p = 3*l + 33. Let o(h) = 4*h - p*h + 6*h. Let b(d) = 3*d. Give o(b(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 4*m - 5*m + (4*m + m - 4*m)*(0 + 2 - 3) + 2*m - 2*m + 3*m + m + 1 - 1 + (-1 + 1 + 3)*(3*m + m - 3*m) + (-5*m + 0*m + 3*m)*(1 + 0 - 2).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 41*j - 39*j - 28, 20 = 2*j - 3*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = 3. Let o be (3\/r)\/((-12)\/16). Suppose o*v - 6*v + 76 = 0. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 1:49 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 9*j - f - 20, -20763*f = 2*j - 20762*f + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -0.13. Let b = 5.1 - f. Let s = 6 + -6.4. Sort s, b, -4 in descending order.\nAnswer: b, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(200)\/sqrt(4) + sqrt(50)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 57240395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-241 + (0 - -2))\/(1\/(-6)).\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 3*h**7\/70 - h**5\/12 + 21*h**2. What is the third derivative of n(v) wrt v?\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -29 + (4 - 11).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 24 = 0. Let x = 4 + o. Let p be 0 - x\/4*6. Solve 0*z = -p*z + 2*b - 10, -3*z + 5*b = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 91696?\nAnswer: 91696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28047*o**2 + 28047*o**2 - 11*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.05 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 37*s**2 + 3*s - 2. Let z be (21 - (-1352)\/(-65))\/((-1)\/(-5)). What is c(z)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.7, -4 in decreasing order.\nAnswer: 4, 0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60556, 242442, 545582, 969976, 1515624, 2182526, 2970682?\n\"Answer: 60627*o**2 + 5*o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 140.3839 microseconds?\nAnswer: 0.0001403839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 + -127.34. Let q = k - 0.66000448. What is q rounded to 7 decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c + 2*c**2 + 2*c**2 - c**2 - c**2 to the form p + o*c**2 + b*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-3)*1\/24*-6*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 44. Solve -7 = -s - o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -9, 794, 128 in decreasing order.\nAnswer: 794, 128, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/42 or 2?\nAnswer: 37\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*d - 36*d - 40360. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:42 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/12 + ((-120)\/117)\/(-2). Let d = 1 - 0. What is the closest to d in 0.2, -4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**3 + 4*o**2 - 6*o. Let a(r) = -r**3 - r**2 + r. What is 4*a(i) + s(i)?\nAnswer: -16*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 2*a - 81 = 0, 12 = -4*l - 6*a + 10*a. Let m(n) = -2*n**2 - 15*n - 7. Let g(b) = -b**2 - 8*b - 3. Let f(t) = -7*g(t) + 4*m(t). Determine f(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-729)\/27)\/(-108)*148.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-507)\/390)\/13*12\/8?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 568695 divided by -113739\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:20 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 + 23783*o - 1255648. Calculate n(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u**2 + 3*u - 3. Let a = 25 + -18. What is the remainder when i(1) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -15 + 1. Let m = -0.0163 - 0.2837. Which is the closest to w? (a) -2 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 0, -3*f - 5 = 2*b - 15. Let k = f + 0. Does 6 divide 12\/(-8) + 198\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 - 7*i**3 + 2*i + 48*i**2 - 46*i**2. Let s be d(-2). Let l(a) = a - 2. Let o be l(6). Calculate the greatest common factor of o and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54913, -219658, -494233, -878638, -1372873, -1976938?\n\"Answer: -54915*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/40*10*248\/96*6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:41 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (56 - 107)) + -4\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0.8, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:24 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-9)\/(-5)))\/(26\/((-1456)\/(-28)))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99.93 + 100. Which is the nearest to -0.1? (a) -0.1 (b) t (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -141066000 to the nearest 1000000.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) -0.036 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 202*d**2 + 1048*d - 1272.\nAnswer: -2*(d - 3)*(d - 2)*(d + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + 0 + -4 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 45*j - 2)*(6*j**2 + 4*j - 4*j + (2*j**2 - j**2 + j**2)*(-4 + 0 + 2)).\nAnswer: -90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9*i - 100 = 0. Suppose -4*x + 5*y = 2, -i = -2*x - 3*y - 0*y. What are the prime factors of 4 + (x + -6 - -107)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6026250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5960*h - 206682 = -9586*h for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (464 - 94*o - 464)*(4 + 0*o + 3*o - 4*o).\nAnswer: 94*o**2 - 376*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbfbffff. Give prob of picking 4 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a6 + 32?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/153 (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -5*l + 9*l. Calculate the greatest common factor of 280 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 4. Determine h(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 + -156. What is the lowest common multiple of h and 55?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28.314 from 0.2.\nAnswer: -28.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*c - 0*c. Suppose d - 2 = -2*p - 0, -2*p = -5*d + 10. What is the greatest common divisor of c and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4\/(-6) + 2697554\/2946. Do 919 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -65\/2. Let v = -1.8 - 1.2. What is the nearest to m in -4\/5, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1632846 less than or equal to -14695610\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00182264092 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 478.\nAnswer: 5258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 10. Let n be q(-6). Solve m - 2*m - 11 = 4*a, 0 = m - n*a - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 48*h - 2. Suppose 25 = -8*j + 3*j. Let d be s(j). Let q = -2666\/11 - d. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 3*y - 39, 4*x = 15*y - 13*y - 34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 19880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:23 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 - 4*q - 6. What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 4. Let c be i(4). Let d be ((-240)\/((-18)\/3))\/((-2)\/c). Suppose -d = -11*h + 10*h. Calculate the lowest common multiple of 22 and h.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 13 = -3, -3*z - n + 1021 = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43431187?\nAnswer: 163, 266449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*u = 12, 5*b - 4*u = -0*u - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 43 = -4*x, x - 6 = g + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Suppose 2 + 18 = 5*x. Suppose 0 = 5*v - 3*g + x, v + v - 14 = -4*g. Calculate the highest common divisor of v and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421148557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 1044999.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 3, -2, -13, 5, 7, -3 in ascending order.\nAnswer: -13, -3, -2, 3, 5, 7, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-3*-4)**2 - (sqrt(44)*1*-1)\/sqrt(4)) + (6*(sqrt(110) - (2*sqrt(110) - sqrt(110))) + sqrt(110))\/(sqrt(10) + sqrt(60)\/sqrt(6)*3).\nAnswer: 5*sqrt(11)\/4 + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1420, -10419, -34994, -82981, -162216, -280535?\n\"Answer: -1306*c**3 + 48*c**2 - c - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98579275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51473699 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13227329*z + 5087272?\nAnswer: -13227329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 0 + 156 = -3*x, r = -x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, p: 3}. What is prob of picking 2 z?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -0.1, 0.04, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26917 + -26922. Let j be (-4)\/(-8) - 10\/(-4). What is the second biggest value in -0.08, -0.4, j, h?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 641.7 - -101.3. Let y = m - 743.000003207. What is y rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-21) + (-23484)\/4788. Let w = -0.2 + 2.2. Which is the second biggest value? (a) 0.01 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2084\/18 + (-10)\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 16*q**2 - 8*q - 132. Let z be k(-16). Which is the third biggest value? (a) z (b) -9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11584 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116206?\nAnswer: 2, 97, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3191 or -47\/3?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(15))\/sqrt(3))**2*5.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2. Let k be (1 + -4)*(-4)\/6. Let u(h) be the first derivative of 172*h**2 - 10 - 31 - 171*h**k. Give u(i(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 12 - (1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1256 + 58.0944. Let m = r + -1.22. Let z = 56.999932 - m. Round z to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -23*w**3 + 534*w**2 - 44*w - 7. Let k(r) = 20*r**3 - 532*r**2 + 43*r + 6. Let q(z) = 7*k(z) + 6*s(z). What is the second derivative of q(y) wrt y?\nAnswer: 12*y - 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504045037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260 + 261. Solve -4*h + 22 = 2*t, -5*t = -4*t - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16513\/(5\/(-30) - (-32)\/64)?\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -5*k**4\/12 + 29*k + 1. Let t(m) = 13*m. Give t(n(h)).\nAnswer: -65*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1053) + -2 + 4))**2.\nAnswer: 144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 12*j**2 - 12*j + 7. Let s be o(-13). Let x(l) = l - 4. Let z(m) = -m + 5. Let d(g) = 3*x(g) + 2*z(g). What is d(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39031639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-42 + 6 + 25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(-153) - 3*((-120)\/(-162))\/10.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -727, 5, -43.\nAnswer: -727, -43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Suppose -4 = -u + y. Calculate the smallest common multiple of 4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbibbfbfobbbbbb. Give prob of picking 3 o and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7377 (base 12) to base 7\nAnswer: 51535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3917430?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o + 2. What is the greatest common divisor of 14 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -22104?\nAnswer: 22034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400820 and 20?\nAnswer: 400820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.7951 - -15.7951. Let l = -0.5 - -0.3. Let v(i) = i**2 + 2*i - 1. Let n be v(-3). What is the nearest to r in 1\/3, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(4\/(-20))\/((-12)\/15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(196\/(-8)) - (-1796)\/14. Suppose 6*l - p = 208. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/35)*(g\/(g**(-3\/10)*g))\/g*g assuming g is positive.\nAnswer: g**(87\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, v: 12}. Give prob of picking 1 o and 2 v.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5452.4362 from -5.\nAnswer: -5457.4362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*d - 11 = 2*b + 33, 0 = 5*d + 45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.05 (b) -1\/2 (c) -0.031 (d) 1 (e) -0.7 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 25786 = 1036. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392 is divided by 399?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/22))**(12\/11)\/(v\/(v**(3\/13)*v))**(-7\/5) assuming v is positive.\nAnswer: v**(5649\/7865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + f**3 - 67.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/17 - 120*j\/17.\nAnswer: 2*j*(j - 60)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = -10. Sort -5, z, -3, -6 in ascending order.\nAnswer: -6, -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12\/7, -3, -4?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 553 - 22721?\nAnswer: -22157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*z - 246*z + 88*z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 + 9*r - 81\/2.\nAnswer: 3*(r - 3)*(r + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 5\/2 (c) -4 (d) -73184 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2675 divided by 14\nAnswer: -2675\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x + b + 421 = 0, 0 = -2*x + 4*b + 228. Let i be x\/65 + 4\/10 + 0. Solve i*j + 6 = -2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*b + 524, 0 = 6*m - 2*m + 19*b - 726. Is 86 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggzgkzkgzxrggzgzggg. Give prob of sequence rz.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 47668?\nAnswer: -23834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/((-8)\/48). Suppose x*u = 3*u. Suppose -22 + 6 = -4*w. What is the nearest to -0.1 in u, -2\/13, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -19*m + 84, 0 = -2*z - m + 17756. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 4437*b**4 - 1252965*b**3 + 7248735*b**2 + 30583608*b + 22077468 = 0. Calculate b.\nAnswer: -2, -1, 9, 371, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18928 divided by -8\nAnswer: -2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfnptee. Give prob of picking 1 n and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 206569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.13 - 0.13. Let r = -5934 + 5934.2. Which is the closest to r? (a) w (b) -15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.7 - -10.7. Suppose -w = -5*w. What is the closest to 0 in w, 0.5, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -67 in decreasing order.\nAnswer: -0.3, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 24*v - 3. Let t be y(7). What is the remainder when t\/3*(2 + 2 - 7) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 3. Suppose -1 + 9 = 4*m. Let z be b(m). Solve 2 = x + 3*x + p, z*p = -4*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -16321026?\nAnswer: -16321033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -144*(-151500)\/54*3\/(-15)*-6. What is n rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 7 - 45*g + 44*g + g**3 + 4150*g**2 - 4151*g**2 as z*g**3 + x + o*g**4 + l*g**2 + v*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 3*o)*(-2 - 1 + 5) - 2*o + 2*o - 3*o - 4*o + 0*o + o + (0*o - 3*o + 2*o)*(1 - 3 + 3) - 4*o - 9*o + 2*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 + 2 - 9)*(2 + 3 - 4) + 0 + 0 - 1)*(3*l**3 - 225*l + 225*l) as s*l**2 + h*l + d + z*l**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22125 + -1767?\nAnswer: -24003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1099\/6 in 0.14, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768 is divided by 113?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001146522077 rounded to seven dps?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)\/3*1. What is the second derivative of n*g + g**3 - 4*g + 2*g**3 + 6*g wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100011110001 (base 2) to base 7.\nAnswer: -416453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -1. Let h be 23\/5 + q\/(-10). What are the prime factors of (76\/(-10))\/((-2)\/h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/114 and 119\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*a - 5)*(-2 + 1 - 1)*(2*a - 2*a - a)*(-132 + 66 - 60*a + 68) in the form n*a**2 + d*a + u*a**3 + z and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h**(-2\/23)))**(2\/7))**(2\/17))**(2\/9))**(-7\/2) assuming h is positive.\nAnswer: h**(-8\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 11*y**2 + 6 + 2*y**2 + 9*y**2 - 12*y. Let j be c(11). Let o = j + 89. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1903, 4, 3\/4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95116 - 95114. Let 8\/5 + 22\/5*h**g + 48\/5*h = 0. What is h?\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2791.053l to millilitres.\nAnswer: 2791053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -443*s**2. Let z(g) = 9*g**2. What is z(o(v))?\nAnswer: 1766241*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10830239 to the nearest integer?\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3113894*h*y**3 + 3*h*y**2 - 860*h*y + 2*h - 960*y wrt y.\nAnswer: 18683364*h*y + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 37*t - 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h**2 - 57*h + 554. Determine w(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(160\/84)*8\/(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 22.8895\nAnswer: -26.8895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2360401223?\nAnswer: 67, 347, 101527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99 + -36?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lunnuylnllu. What is prob of sequence lull?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 105*v**2 + 49*v. Let r(z) = -13*z**2 - 6*z. What is -6*f(q) - 49*r(q)?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 4*r + 3*r)*(3*r + 2*r + r + 2*r**2)*(-3*r**2 - r**2 + 0*r**2).\nAnswer: 8*r**5 + 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 25355*v + 25346*v + 2 - 76044*v + 25339*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11667? (a) 2 (b) -2 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {h: 1, q: 1, u: 1, g: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/3 + 83*j**4\/3 - 439*j**3\/3 - 1831*j**2\/3 + 4652*j\/3 - 2464\/3 = 0. What is j?\nAnswer: -4, 1, 8, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 144*t + 15. Let x(a) = 9*a + 1. Let k(l) = 2*h(l) - 33*x(l). Let y be k(-1). Let z be (14\/y)\/(-7)*-6. Solve 15 = r + z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-72))\/((-5)\/14120) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 2)*(12*z**2 + 9 - 9).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 832 = -14*s. Suppose 2*h = 2*n + 3*h + 147, 0 = 3*n - h + s. Let q = n - -77. Calculate the lowest common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a meter in millimeters?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 484448.12 and 0.4.\nAnswer: 484448.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109.1 - 116. Let a = 7.69 + q. Let r = 0.41 + a. What is r rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -147*c + 5535. Calculate r(54).\nAnswer: -2403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3930894.\nAnswer: 2, 3, 11, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*-30)\/(-3 + (-7)\/(-3)) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47229697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**7\/210 + k**4\/3 + 37*k**2. What is the second derivative of b(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 26, 22, 18, 14, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(208))*4*-4*-2 + -5 + -4)**2.\nAnswer: -2304*sqrt(13) + 213073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, 8, 2\/23 in ascending order.\nAnswer: 2\/23, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*d - 3, -2*v - d = -2*d - 9. Solve -11 = -v*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*s - 4*n + 39, -3*n - 13 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1100)*-2 + -4 + 3.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26339 + 1260599531.\nAnswer: 1260573192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - 24\/(-10). Suppose -470 = -5*z - 4*v + 868, 5*v - 525 = -f*z. What is the greatest common divisor of z and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - 44 - (-1 - -7) - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-305)\/460 - (-2 - -1). Let c = q + -2\/23. Are 1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317506.\nAnswer: 2, 658753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c**3 - 11 + 0 + 23*c**4 + 34*c - 24*c**4 - 36*c**2 = 0. What is c?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c09 (base 15) to base 2.\nAnswer: -100110010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 10 - 2) + (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 181, 0.1, -0.2, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 811519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07961 and 0.02?\nAnswer: 0.09961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.85 + 6.85. Which is the closest to -0.2? (a) -1 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 0*v**2 - 2*v**2 + 0*v**2. Let r(u) = 3*u + 2. Let h(c) = 4*c + 1 - 3*c + 0*c. Let k(w) = 2*h(w) - r(w). Determine y(k(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/18)\/(4\/4)*50\/35.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196664 - 98923. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80372\/3 + 26790. Let v = -5.7 - -6. Let t = -1.7 - v. Which is the smallest value? (a) o (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {i: 1, w: 2, u: 2, p: 2, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let f(i) be the second derivative of -19*i + 3\/2*i**2 + 2\/3*i**3 + 0. Let x(p) = 5*p + 4. Let o(m) = 4*f(m) - 3*x(m). Give o(h(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vssusyvvnvnvnsv. What is prob of picking 1 y, 1 s, 1 n, and 1 v?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344285 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211556 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/286 + 456\/247. Let y(v) be the first derivative of 0*v**i - 14*v - 2 - 20\/3*v**3. What is the first derivative of y(w) wrt w?\nAnswer: -40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 2 + 2 + 2. Solve 5 = -4*j - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1839 * -104\nAnswer: -191256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-1)\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4.3. Let s = 1.77 - 2.17. Which is the nearest to s? (a) -1\/6 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/8 and -19\/1276?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219836545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 6*x - 4. Let s be m(5). Let l = s + -11. Let k be (896\/l)\/4*-5. Calculate the greatest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0 + 0)*(-6*p**2 - 26*p**3 + 7*p**2 - 36*p**3).\nAnswer: -62*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39727289, 39727283, 39727265, 39727229, 39727169, 39727079, 39726953?\nAnswer: 39726785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 382, 382, 380, 376, 370, 362, 352?\n\"Answer: -t**2 + 3*t + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-3 - -18) + (3 - 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47121 >= 47202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 10*i + 22. Let f be b(-2). Put f, -1, -3 in decreasing order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3))**(2\/5))**(11\/4) assuming w is positive.\nAnswer: w**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6379023406 to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -10636, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - (42 - 37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 + 25497*i = 0. Calculate i.\nAnswer: 0, 25497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16320275?\nAnswer: 5, 652811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 203*0.5\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 666 = 24*n. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 878736 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 16 - 11 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -3, -22, -4234 in decreasing order.\nAnswer: 0, -3, -18, -22, -4234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3795 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(3 + 1 - 5)*(48*l - 2*l**4 - 16 - 48*l) in the form h*l**2 + f*l + d*l**4 + y*l**3 + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593049752?\nAnswer: 2, 6871, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (4 - 9 - 9) - 32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15663, -62971, -141825, -252225, -394171, -567663?\n\"Answer: -15773*x**2 + 11*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**8*y))\/y**4)\/(y\/y**(-2)*y*y*y**(3\/10)*y) assuming y is positive.\nAnswer: y**(-193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 7*y**2 - y + 5. Let a be 3*14\/(-18)*-3. Give d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + x. Let u(p) be the first derivative of -2*p**3\/3 - 170. Determine j(u(m)).\nAnswer: 8*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268825649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20293 = 6797. Is v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)*h*h*h*(h\/(h\/(h\/((h**(-15)*h)\/h))*h))\/h*h)\/((h*h\/(h**13\/h)*h)\/h*(h*h*h**(-5)*h)\/h) assuming h is positive.\nAnswer: h**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(-2) - (-1)\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8480 + -4573. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 19185393*w + 153482952.\nAnswer: 3*(w + 8)*(w + 6395123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (672\/704 - 1)*(-4)\/30*21\/(-7)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 + 5382*u - 12 + 21.\nAnswer: 5382*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 9:58 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 908118401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let n = 55 + -29. Let g(c) = -1 + 1 + n*c - 11*c. What is a(g(o))?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/3 + 2*c**4\/3 + 2*c**3 - 10*c**2\/3 + 4*c\/3 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 4:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 632 + -552. What is the lowest common multiple of d and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -117935 (base 10) to base 4\nAnswer: -130302233","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 401551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18392 = 555*s - 797*s for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8\/13 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68488443 is divided by 34244164.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*b + 7 = 0, 4*b + 3 + 6 = 5*p. Let q = -3.7 + 4. Let x = 1.5 + -2. What is the third biggest value in x, q, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - -28.4. Let j = g + -32. Which is the closest to -3? (a) -3 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 - 4.9. Sort j, -1\/4, 6 in ascending order.\nAnswer: -1\/4, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-238)\/(-5))\/(5\/25). Let a = -323 + 357. Calculate the highest common factor of a and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*d - 75, -100 = -4*d + 12*b - 7*b. Solve -q - 5 = -3*l + 8*l, -2*l - d = 5*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -112 and -112 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*z**3 + 96045567*a**3 - 3*a**2*z**3 + 42*a**2*z**2 + 621446*z**3 wrt a?\nAnswer: -6*z**3 + 576273402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 25. Suppose 1 + g = x. Suppose -4*y + t = -2, -t = -6*t - 10. Solve n = -y*n + x*j - 22, 0 = n - j + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723121219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/70 + (-49)\/((-4802)\/28)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 47. Sort 3\/8, 2\/11, k in ascending order.\nAnswer: 2\/11, 3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76426812 and 196836?\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -87745 = 1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 - -3.09. Let d = -7 + t. Let b = 15\/8 - 67\/40. What is the biggest value in d, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w - 5*i + 340 = 0, 2*i = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 2. Suppose 3 = -5*q - 2. Let d be 1 + q + -1 + 1. Let i = -5 + d. Give g(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -2 (c) 18\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1139\/6 + -190. Let f = 327 + -4903\/15. What is the nearest to 3\/7 in f, -4, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31723 + -31724)*(-1 - 68).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 5*o - 1. Let r(a) = -a**2. Let t(f) = -q(f) - 3*r(f). Let l be (-1)\/(-3) + 286\/(-66). What is t(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 - t - 31. Let x be w(11). Suppose 0 = -5*f + x + 20431. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99379*v**4 - v**2 - 9322*v.\nAnswer: -2385096*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2*k**2 + 3*k**2 + (-6 + 1 + 3)*(382*k**2 + 1025*k**2 + 1826*k**2).\nAnswer: -6463*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -8426\/2857 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/264 and 19\/263076.\nAnswer: 526152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.103, 2\/7, 23, 2\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1429 - -2102. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000669534 to five dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 24258 = -8*v. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 + r + 3. Let p be l(0). Let v be p + ((-48)\/(-4))\/(-4). Solve -q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 1. Suppose 0 = -4*b - 5 + 33. Suppose 0 = b*g - 10*g + 6. Let h(c) = -c**2 + 2*c + 2. What is g*i(r) - h(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*q + i, -5*q + 15 = -2*i - 40. Let g = 0 - -6. What is the greatest common factor of g and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 7) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 - 3)*(n + 6 - 6)*(-2*n + 6 - 6) as a + v*n + q*n**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 2*c - 2. Let u be j(2). Let l be 4\/2*2\/4. Let o = u - l. Solve -a + o*a = 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5796 + 1.2696. Sort 5\/2, n, 2\/11, -2\/11.\nAnswer: -2\/11, 2\/11, n, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*a - 86, -40 = -2*a + 5*i + 8. Let l = 23 - a. Suppose 5*j - 88 = -l*c, -c + 0*c - j = -21. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 - (-12)\/5. Let j be (-9)\/6 - u*-1. Let x be (-9)\/4*3\/9. Which is the second smallest value? (a) 2 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:02 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 4*d - 8. Let g(z) = -6*z**2 - 11*z + 22. Let w(m) = -4*g(m) - 11*v(m). Let o(j) = -14*j. Calculate o(w(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 52 = q - 4*z, 0 = 3*q + 4*z - 124. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + -24902324318.\nAnswer: -24902324319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -43. Let c = 4.9 + -5. Let k = -283 - -288. What is the nearest to w in c, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + (32 - (-9 + 264\/30)*-35). What is the closest to c in 2\/5, 1\/32, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.33 times -3\nAnswer: 132.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1365, 0.4 in decreasing order.\nAnswer: 1365, 27, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 327*-2\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((186\/(-1240))\/(9\/(-16)))\/(1\/(-3)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12393 + 3?\nAnswer: 12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*b + 14 - 34 = 0, -2*b = 3*x - 7. Let z be (9\/x)\/3 - -2. Let u(k) = -2*k - 5. Let d be u(-6). Solve -12 = d*o - z*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293 + -170. Let i = t - 88. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1349 + -1379. Do -1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3322 - 2462. List the prime factors of h.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -57\/25 (b) 81 (c) -2 (d) -3 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {g: 2, f: 7, m: 3, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2719*f**3 + 1665*f + 1791*f + 6048*f**3 - 6*f**2 + 6220*f**3 - 3216*f wrt f?\nAnswer: 57294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 31, 45, 75, 127, 207?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 15 + 15 - 3*m**2 - 49*m**3 + 125*m**3 + m**2 to j*m**3 + i + r*m**2 + z*m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 5*r**2 - 2*r**2 + 8*r**2 - 191*r.\nAnswer: -r**2 - 191*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14922 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11197 + -6963. What is the highest common divisor of o and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -109. Sort 0.4, 0.1, q, 0.3 in descending order.\nAnswer: 0.4, 0.3, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - 3*c + 17, v - 2*c + 13 = 0. Let d = v + 5. Solve 14 = 4*n - 4*q - d, 0 = 2*q + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3032 + 372. Suppose -47*k = -7*k - 338400. Let r = k + q. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-64)\/6)\/(150\/5535). Let t = k - -1583\/4. Calculate the common denominator of 13\/20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7522033, -7522034, -7522035, -7522036, -7522037?\n\"Answer: -y - 7522032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.3 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -219, -724, -1691, -3270, -5611, -8864, -13179?\n\"Answer: -25*x**3 - 6*x**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -y - 0*y - 28, 4*y = -4*c + 64. Suppose -6*g - 700 = -c*g. Suppose -g = -5*z + 3*z - 5*i, 5*i = 2*z - 140. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.587 - -0.213. Put l, 0, 4\/7 in descending order.\nAnswer: l, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19)\/(-2) - 48\/(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 1, d: 1, q: 10, g: 2, k: 1}. What is prob of picking 1 d, 1 c, and 1 k?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 263, 386, 503, 614?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 7) in base 3?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54839670 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/3 - 274*g\/3 + 180 = 0. What is g?\nAnswer: 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 1. Suppose -4 = -192*l + 194*l. Suppose 2*r = 1 - 3. Let u = r + -5. Let f(w) = w. What is l*q(o) + u*f(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1295\/(-777)*(-24)\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 495 and 30.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*i = 21, 0 = -4*y + 3*y + 2*i + 11. Suppose -4*j - 5*f - 8 = 0, -5*j + 4*f = -j - 28. Factor 0*u**5 + j*u**3 - 2*u + 0*u**3 - u**y - u**2 + u**4.\nAnswer: -u*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 5030 = -14*w. Let r = w + 5131\/2. Calculate the common denominator of r and (-414)\/(-4)*1\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 33747?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.45996 to one decimal place.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, p: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -1904644.\nAnswer: 5\/952322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - sqrt(10)*2)\/sqrt(2) + 4)*-6)**2.\nAnswer: -288*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4\/7 - 64*n**3\/7 + 56*n**2 - 576*n\/7 + 36 = 0.\nAnswer: -21, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**5\/20 + j**4\/2 - 2*j**3 + 7*j**2\/2 + 2. Let o(y) be the second derivative of t(y). Factor o(x).\nAnswer: -3*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 6) in base 12?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-12)*(-4)\/(-28))\/(1734\/(-1734)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + q = 31, 2*q + 6 = -k - 2*q. What is the common denominator of 31\/40 and ((-9)\/(-30))\/(2 + k\/12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 924 = 16*j. Let v = j - -439. List the prime factors of v.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5864\/13 - 369558\/767. Let h = m - -14\/177. Which is smaller: h or -30?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7903 + 1.0903. Let g = 44 - 179\/4. What is the third biggest value in n, 7\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014*v**3 + 0*v**2 - 4*v**2 + 4*v**2 + 1022*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.847651 nanoseconds in microseconds?\nAnswer: 0.000847651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4989300 to the nearest ten thousand.\nAnswer: 4990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13194*b**6 + 62*b**2 - 42*b + 1 wrt b?\nAnswer: 1583280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8299 - 0.749. Let x = 1.4939 - b. Round x to 2 decimal places.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 508 = 4*w - 6*w, 734 = 3*w - 4*h. Suppose -l = 4*l - w. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 111*k + 5. What is s(1)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + h + 2. Let s be (-2)\/((2\/5)\/(-2)). Let o be s\/(-6) + 2\/(-6). Let f(g) be the first derivative of g**3\/3 - 2*g - 448. Give o*l(c) - 3*f(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five eighths of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 + 2. Let d be f(7). Let l = -17 + 26. Let p be -1 - (l\/(-12))\/(7\/14). Which is the nearest to -1\/4? (a) -0.2 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(242) + -1)*-2 + -1 + sqrt(242)*-1 + sqrt(242) + 0) + 4.\nAnswer: -66*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*9 - (3 + -2). Let o(s) = s**3 - 8*s**2 + s + 6. What is the remainder when 54 is divided by o(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*m + 2*z - 152, -5*z + 54 = m. Suppose -4*q + 49 = 5*s, 5*q = q - 2*s + m. Let r(v) = 2*v**2 - 8*v - 3. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/9 - -4)\/((-6)\/9). Suppose -6*r + o*r + 7*r = 0. Let b be (-6)\/(0\/1 - 5\/(-20)). Sort b, r, -4, -5 in descending order.\nAnswer: r, -4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**7\/14 + 8*h**6\/5 - 117*h**5\/10 + 28*h**4 - 49*h**3\/2 + 7*h + 2. Determine p so that x(p) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**3 + 5984*a**2 + 90516*a + 217584 = 0.\nAnswer: -12, -3, 1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -194 and 12.66.\nAnswer: -181.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:10 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -8278 (b) -3\/7 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 420 divided by 84\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 175, 528, 1067, 1792, 2703, 3800, 5083?\n\"Answer: 93*d**2 + 74*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1697 + 43. Suppose 13*i - 11100 = -j. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89\/11 + -83\/11. Which is the nearest to 1? (a) x (b) -0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*f + 81 + 49, 104 = -4*n + 2*f. Let y = n - -28. Solve -y = -3*l + 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11584355 or 11584331?\nAnswer: 11584355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -801 < -785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - -2) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -572271, -4\/5, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**2 + 114. Let y(w) = -14*w**2. What is y(o(t))?\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22156?\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 15*j**2 + 51*j + 5. Calculate s(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - bd3b971?\nAnswer: -bd3b96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-14)\/10*(-3 - -4). Let f(i) = -3*i - 37. Give f(m).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 88382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2\/11 (c) 46657 (d) 3 (e) 0.05 (f) 0.5 (g) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (54 - (50 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q + 90. Determine o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22159*u**4 - 196*u**2 - 11*u.\nAnswer: -531816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/2))\/(m*m**6)*(m**1)**(-3\/11))**42 assuming m is positive.\nAnswer: m**(-3129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/362016 and 97\/1152.\nAnswer: 1448064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1240)\/(-6))\/(165\/495) is divided by 193?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 28. Let d = s + -10. Suppose 0 = -d*j - q + 58, 4*q = -3*j - 0*q + 28. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279926*o**2 + 2*o - 1765355 with respect to o.\nAnswer: 559852*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 364 - 220. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 13*m - 62. Give p(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = k + 4, 0*j - 12 = -3*j + 3*k. Let v = 3 - j. Solve 2*s + 2*t - 4 = 0, 4*s + v*t = 11 - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(2) + -1 - (sqrt(4)\/sqrt(2) + sqrt(2) + 3))*5 - (-4*sqrt(288) + -3)**2*-3).\nAnswer: 864*sqrt(2) + 13826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 6 - 1 = 0. Suppose 5*x = 9 + f. Let b(a) = 3*a**3 + a**2. Let j be b(1). Solve -x*h - 7 = 5*c + 8, -j*h - 22 = 2*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35564*k**6 - 98971*k**2?\nAnswer: -4267680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + sqrt(1573)*2.\nAnswer: 6 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -841, -2868, -6237, -10942, -16977?\n\"Answer: y**3 - 677*y**2 - 3*y - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) - (-104)\/12. Let u be (v\/(-12))\/(2\/6). Let x(o) = -3*o + 2. Let l(p) = -203*p + 1 - 1 + 204*p - 1. What is u*l(s) - x(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2 + 4 - 1\/3*g**3 + 0*g. Factor a(i).\nAnswer: -i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 0 + -4 + (sqrt(3) - (sqrt(3) + -1)**2) + -4).\nAnswer: -80 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37296991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:30 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 16, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32612987 and 70015?\nAnswer: 163064935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-7)\/7)*0*(-4)\/16. Solve j = 4*a, -2*a - 4 = -2*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772 + 203 + 211 + 221 + 181 - 5*k + k.\nAnswer: -4*k + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*v + 124*v - 2281 - 605 = 1866 for v.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3754.58 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1914 + 5214 = 5419*u - 5319*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:49 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 223. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/19, 4, -0.3, -4\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3363 and -0.01309.\nAnswer: 3362.98691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -1. Let d be -7*((-24)\/21 + 2). Let q(v) = 11*v - 33. Let g(b) = -5*b + 16. Let r(w) = d*q(w) - 13*g(w). Determine r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = -5*u + 17. Let o = 10.6 - 11. Which is the biggest value? (a) o (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.69 - 130.69. Let w = p - -132. Sort w, 1, 2, -2 in decreasing order.\nAnswer: w, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 1, 10\/17, 13, -6.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7956 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(153)*-1 + sqrt(153))*2 + 6*(sqrt(153) + sqrt(153)*1)))\/(sqrt(9) - sqrt(441)*3 - sqrt(63)\/sqrt(252)).\nAnswer: -144*sqrt(17)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 172 - 3*f**5 + 2*f**2 + 6*f**5 - 175 + (f - 1 + 1)*(2*f**4 - f**4 + f**4).\nAnswer: 5*f**5 + 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 3 - 0) + 4 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -22. Suppose 400 = z*d - 6*d. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 - 7*m**4\/24 + 50*m**3 - 246*m**2. What is the first derivative of l(o) wrt o?\nAnswer: -2*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2335.9 - 2336. Which is the nearest to 0? (a) z (b) -5 (c) -3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -8) + -3 + 2. Let v = c - 4. Calculate the highest common factor of v and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(343) - sqrt(343)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -7, 3, -5, -67 in descending order.\nAnswer: 3, 2, -4, -5, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25*h - 1. Let l be v(-1). Let i be (262\/(-8))\/(13\/l). Let t = i - 67. What is the nearest to -4 in t, 5, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38807*l*t**4 - 123*l*t**3 + 2269*l*t**2 - 31*l*t + 3*l - t**2 + t wrt t?\nAnswer: 931368*l*t - 738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4907.4 rounded to the nearest 10?\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1692 or 1708?\nAnswer: 1708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -124*m - 1728 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29283518 to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 702753. Let f(y) = 16*y**2. What is m(f(o))?\nAnswer: 16*o**2 + 702753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -314*y + 14153. Give z(34).\nAnswer: 3477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 4, -8.65?\nAnswer: -8.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8561 + 8566. Sort v, -17\/8, 1\/5, -1 in increasing order.\nAnswer: -17\/8, -1, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 17*o - 351 = 0. What is the derivative of 15 - 67*s**2 + 5*s**2 + 35 + 23 - o*s**2 wrt s?\nAnswer: -150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145\/6 or -1?\nAnswer: 145\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + 0*x + 0*x + (2*x + x - x)*(2*x - x + 0*x) + 5*x**2 - 3*x**2 - 4*x**2)*(-5387 + 5387 - 102*x) to l*x**2 + y + p*x**3 + u*x and give p.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45499293*n**3\/2 - 382347*n**2 - 2142*n - 4 = 0 for n.\nAnswer: -2\/357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 105. Let o(k) = 3*k. Calculate o(s(n)).\nAnswer: 18*n + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 14*w**4\/9 - 293458*w**3\/9 - 49909736*w**2\/9 + 14283880*w\/9 = 0.\nAnswer: -169, 0, 2\/7, 21130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2150667 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7021787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**3 - c**2 + c. Calculate f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let f = 4 - y. Let v = 3.7 + 1.3. Sort f, v, -3\/11.\nAnswer: f, -3\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125836719221781 - -0.4\nAnswer: -125836719221780.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -55\/6, -3\/2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, 1565, 3199, 4883, 6617, 8401, 10235?\n\"Answer: 25*h**2 + 1509*h - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*d + 9. Let n = -17 - d. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7835*i + 7835*i - 1 - i**2 - 47*i**4 - 8*i**3 in the form g*i**3 + t + s*i**2 + m*i**4 + f*i and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -763.97 - -764.33973. Let h = 0.37 - o. Round h to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*h - 12 - 4, -h - 52 = -4*a. Suppose 0 = k + 3*u - 7, -3*k - 2*u = -a - 9. Suppose 0 = 3*n - 38 - k. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.05 (c) -2\/11 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -251 + 80. Let u be 1 - 0 - v\/(-19). What is the biggest value in u, -3\/2, 0.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.61*-10.1.\nAnswer: 46.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 851 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:38 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -21*m + 2*g - 4784, -g + 4784 = m. What are the prime factors of m?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3843388 divided by -960847.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -102, -399, -894, -1587, -2478, -3567?\n\"Answer: -99*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.6 - -16. Let w = a - 0.40045. Round w to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 - 2\/2. Let o = 9 - 11. Let p be o\/(-6) - (-4)\/6. What is the third smallest value in b, p, -0.07?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206609149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -100110001000?\nAnswer: 100101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 10*b - 4. Let o be y(11). Suppose -2*m = -o*m + 180. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 3*b + 3. Let k = -3 - 2. Let r be (2 + (k - 2))*1. List the prime factors of s(r).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*h - 3419 = 3801 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + -4. Let m = -35 - u. Let n(c) = -c**2 - 9*c - 8. Let i be n(m). Which is bigger: i or 32\/3?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-26 - -14) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 32037*s = 32036*s + 5, 3*s = 17*k - 105 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*q + 18 = -v - 14 - 4, -24 = v - 4*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*i + 16, 2 = 5*i - 0*c + 2*c. Solve -5*d - 2*b + 14 = -0, -3*d + i = -2*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7315\/(-10)*(-4)\/(-5). Let y = 49842\/85 + s. Let v = y - 1939\/102. Calculate the common denominator of v and 19\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153846 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182227453?\nAnswer: 182227453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 + 9*a - 4. Let u be r(8). Let i = 525 - 273. Let d = -249 + i. Sort 1, 0.2, u, d.\nAnswer: 0.2, 1, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008773059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -8.3. Let n = m - -0.5. Let i = n + 3.8. Which is the smallest value? (a) i (b) -2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*p - 2*p. What is the tens digit of p + 0 - (-3)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2475.52 + 1.651\nAnswer: -2473.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, 70.\nAnswer: -5, -3, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 50\/9, 4\/9, 3, -6, 66, -1\/4 in decreasing order.\nAnswer: 66, 50\/9, 3, 4\/9, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 4 + 1 + 0. Let y(u) = 2*u + u**3 + 3*u**2 + 4*u**2 - 2*u**l. Is 4 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(33)*-4 - sqrt(3300)*2)\/(-2*sqrt(3)*2 - sqrt(24)\/(sqrt(8)*2))*5.\nAnswer: 280*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3185406112 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 41 = -5*u, -5*u + 0*u - 5*n = 45. Let b(o) be the second derivative of o**4\/12 + 3*o**3\/2 - 2*o - 16. Determine b(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 - 6 - 14 + 20.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 0, -5 in descending order.\nAnswer: 3, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/(-4))\/((-11 + 9)\/8). Let n be (-3)\/(4 - 25\/6). Let s be (h\/(-6) + -2)*n\/(-4). Is -3 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 5*c - 17. Does 16 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**4 + 1. Let t(j) = 8*j**4 + 11. Let q(z) = 6*f(z) - t(z). Find the first derivative of q(k) wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1388*v**3 + 7*v + 6. Let s be r(-1). Let b = s - -1984. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 2498370232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28*((-26)\/26)\/(21\/(-6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5515 + 21529 = 2*x, 4*x - 2*y - 54096 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.714831 years?\nAnswer: 0.0714831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4797884 divided by -4.\nAnswer: 1199471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 22. Suppose 5*z - 3*z + 3*w = 3, -5*w = 4*z - 7. What is the highest common divisor of z and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 677 = -209. Suppose 0 = m + 4*d - n, m + 4*d = 6*m - 10. Solve -m*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + (sqrt(2352) - (0 + sqrt(2352))*-1) + sqrt(2352) + 2))**2 + 4.\nAnswer: 4032*sqrt(3) + 84820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 + (-76)\/(-18). Suppose t*r - 5 = -r. Suppose 0*q = -q. Solve -a + r = -q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 + 4*u + 3. Let y(c) = c**3 + c - 1. Let a(b) = -q(b) + 4*y(b). Differentiate a(k) with respect to k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/9415)\/(-4)*531. Let r = 1\/269 - i. Factor r*a**2 + 4\/7 + 6\/7*a.\nAnswer: 2*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(11) - (sqrt(99) + sqrt(11))))\/(sqrt(360)*-2).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76895 + -0.0143035?\nAnswer: 76894.9856965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -1 (c) -23 (d) -1\/340\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*0\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5658538980 to the nearest 1000000.\nAnswer: -5659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1*o*o*o**0)\/(o*o**(-2\/3)*o*o*o*o**(-2\/9)) assuming o is positive.\nAnswer: o**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 251*x + 9322. What is the remainder when 9691 is divided by t(-37)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = c + 8 - 3, -5*c - 4 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 196680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 172773.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.93 + -45.93. Suppose -1 = t + 2. What is the closest to -1\/7 in y, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 1)\/(-1 - -2). Suppose 50 = -2*y - 3*y. Let s be (-18)\/20 + (-4)\/y. Which is the closest to s? (a) -1 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63560 plus 196374676?\nAnswer: 196311116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/2 + 57227*v**2\/2 - 114446*v = 0 for v.\nAnswer: 0, 4, 57223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (166\/(-1245)*-30)\/((-28)\/(-20))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -23. Solve l*m = 4*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by -3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 5*h = 255. Let y = h + -84. Let i(v) = -v - 3. Let b be i(0). Put 2, y, b in descending order.\nAnswer: 2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.728233 millilitres to litres.\nAnswer: 0.009728233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90257179\/706 + -127843. Find the common denominator of w and -137\/12.\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/2, 8, 3\/2, 258?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.12 + 3.3. Round d to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*r**2*t - 260*r**2 + 2*r*t**2 - 3*r + 2*t**2 + 11*t + 46 wrt t.\nAnswer: -83*r**2 + 4*r*t + 4*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 180139*i**3 - 2*i**2 + 1. Let g be w(-1). Let a = 1100140 + g. What is a rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, h: 4, o: 1, v: 6, j: 1, d: 4}. What is prob of sequence vcvc?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x. Give p(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 343*o**2 - 2026*o - 1361. Give q(-337).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 11*w + 5. Determine m(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63147452 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/70)\/(-9)*-8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04052*-0.1\nAnswer: 0.004052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172334213 or 172334214?\nAnswer: 172334214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0553 - 4.9447. What is the closest to 1 in 11, 0, n, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 22) + (-131 + 7 - (311 - 343))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86039.\nAnswer: 97, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 381*y**3 + 23*y**2 - 9*y + 54. Let h(q) = 187*q**3 + 11*q**2 - 4*q + 24. Give -4*a(l) + 9*h(l).\nAnswer: 159*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22925*16862\nAnswer: -386561350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204881 and 422.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/39? (a) -4 (b) 370 (c) -4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-138)\/(-10) + (-2)\/(-10)). Let f(o) = -17*o + 40. Does 24 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t + 3*t)*(-1 - 3 + 0)*(356 + 740 - 301).\nAnswer: 9540*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38173590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 + 1 - 192\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 242199.\nAnswer: 10656756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744496166 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/(96\/(-2855376)) - 9. What is q rounded to the nearest one hundred?\nAnswer: -19800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2. Suppose -6 = -0*z - 3*z. Let s(y) = 28*y - 448. Let q be s(16). Suppose 4*g + 4 = 3*c, 3*c + q*c - z*g = 2. Determine r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 19. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512166857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 365175652 a multiple of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 - -170. What is the least common multiple of 20 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.006?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132180313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156423*c**2*k + 7*c**2 + 11*c*k - 18*c - 2*k + 36 wrt c?\nAnswer: -312846*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0, -5, 2\/155?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 122*n - 5854. Calculate w(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/13 - 296*i**3\/13 - 8934*i**2\/13 - 80568*i\/13 - 71928\/13 = 0?\nAnswer: -111, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18. Let n(t) = t - 37. Let r(w) = 5*b(w) + 2*n(w). Let z be r(-11). Let u = -1452 - -1455. Sort u, z, -5.\nAnswer: z, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 13*x - 20. Differentiate -17 - 7*l**x - l**2 - 22*l**2 wrt l.\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiohiciiiiiiiiclchi. What is prob of picking 1 i and 2 h?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 28 = -4*b, 0 = -b + 6*b - x - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0 - -2) + 0. Solve z*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7215832.\nAnswer: 2, 13, 69383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -727\/6 + 241\/2. Let t = 1.4 + -1.46. Which is the third biggest value? (a) k (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:47 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 + -166. Let w = 18 + -12. Which is the nearest to w? (a) z (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(605) + 0 + 0 + sqrt(605) - (sqrt(605)*3 + 0 - sqrt(605))) + 5 + 0)**2*-2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1387 + -361. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j - 12*j - 2*j.\nAnswer: -49*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 + 35060*f**2 + 489605*f - 1784490 = 0. Calculate f.\nAnswer: -6998, -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288428*t - 288428*t - 14455*t**2.\nAnswer: -14455*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:40 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 - -78. Let u = z - 346.7. Let a be (2\/(-5))\/(2\/(-10)). What is the closest to -1 in -0.4, a, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2793, 13967, 44163, 102891, 199661, 343983, 545367?\n\"Answer: 1585*i**3 + i**2 + 76*i + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*k - 567, 3*k - 543 = -0*k + 5*o. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i**3 - 2*i**2 + 1\/24*i**4 + 0 + 0*i. Let x(a) = -a. Calculate x(d(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 252*r - 257*r = -1 + 18, 0 = 23*r - 15*r - 8 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let k(o) = 2780000*o + 69500. Let i(q) = 1. Let u(h) = r*k(h) - 69500*i(h). Let l be u(-5). What is l rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*o - 180. List the prime factors of 4\/o*-2*-87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222501896?\nAnswer: 2, 229, 121453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3\/3 - 8*h + 1337. Calculate d(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -74. Suppose d*m - 10 = 19*m. Let s(c) = 2*c - 5. Calculate s(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395324, -2790641, -4185954, -5581263, -6976568, -8371869?\nAnswer: -9767166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 8)\/(5\/2). Let r = 6 - 9. What is the second smallest value in 0.1, r, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 688 - 291. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 5 + 19)*(-2*x + 0 + 0) + (x + 4*x + 0*x)*(4 - 4 - 8).\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 5981. Is l(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 3 - 3)*(74 - 49 - 118 - 258) as r*w + d and give r.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97916.9865 - -2.\nAnswer: 97918.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*d - 121*d + 127*d + 287*d + 444*d + 277*d**2 wrt d?\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000048483653 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 21*k**4 + 17*k**4 + 4*k)*(-3*k + 0*k + 2*k).\nAnswer: 4*k**5 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419446?\nAnswer: 2, 401, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5697 + 5701. Solve -2*r + 8 = -4*x, -r = 12*x - 10*x + z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -550.27 + 402.6. Let l = -150 - t. Let g = -2.3 - l. What is the third biggest value in -1, g, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*y - 0*y + 11, -5*i = -5*y + 15. Suppose -5*r - 2*l + 177 = 0, 0 = 2*r - 7*r - y*l + 179. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 6*t**2 - 21*t + 52. Let s be x(11). Find the first derivative of s - 592 + 7*m - 79*m wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20776040 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/4 (b) -3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 21, 41, 77, 135, 221, 341, 501?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 627, 2157, 5143, 10071?\n\"Answer: 81*l**3 - l**2 - 4*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57921131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*p - 28 = 2*x, 5*x = -3*p - 5. Let r = 6 + x. Suppose -2*u + 3*f + 31 = 0, -2*u - r = -u + 2*f. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 155709, 311465, 467221, 622977, 778733?\n\"Answer: 155756*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-720))\/(1\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -33. Suppose q = -w + 63. Let j = w + -1. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-182) + 6808\/(-13156)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 203002023 (base 6) to base 13\nAnswer: 956bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.016 + 0.0160092. Round u 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 6525679, 6525706, 6525733, 6525760, 6525787, 6525814?\n\"Answer: 27*r + 6525652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 106759.\nAnswer: 3\/106759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0) + 28 + -33 + 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008985 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 85 = g, w = 4*g + 43 + 10. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/1 + 3)\/(-2). Let y = -59 - 31. Let d be y\/(-8) + (-4)\/16. Solve -2*q = a - d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 108 - 10 = c, -5*c + 2*i + 355 = 0. What is the remainder when 242 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1048879\/86 or 12197?\nAnswer: 1048879\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 4*w**2 + 21*w - 89. Let v(f) = 2*f + 5. Give -2*m(s) + 9*v(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = 0, 2*j - 5 = -2*n + n. Suppose -j*v + 3 + 27 = 0. Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128 in 1, -4, -72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*t = -10, -3*r - 7 - 13 = t. Let f(d) = 4*d**2 - 13. Let g be f(r). What is the remainder when g + (-3 - -11)\/(-4) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - 4)*(-5)\/(-10). Let r be (1\/d)\/((-17)\/85). Solve -11 = 2*s - r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 3. Let j(c) = 20*c + 8. Let v be 5\/((-5)\/(-2)) + -88. Let g = 97 + v. Give g*d(r) - 4*j(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00313337194 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 22.2. Which is the closest to -2\/3? (a) 2\/3 (b) f (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -604 != 1041703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4428 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79721992 and 8.\nAnswer: 79721992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 4, -1\/5, -425?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k. Let q(b) = -7*b. Let n(g) = 3*q(g) - 5*s(g). Let z(w) = 3*w + 3. Let i(o) = 2*n(o) + z(o). Determine i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 + i - 8. What is u(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6405192 and -15668842.\nAnswer: -9263650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 169. Determine o(-39).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -274371, -37 in increasing order.\nAnswer: -274371, -37, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/6 + -3)*-26. Let v be ((-156)\/15)\/((-10)\/25). What is the highest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, o: 1, a: 4, x: 4, d: 2, w: 2}. What is prob of picking 1 x, 1 a, and 2 w?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 - 1\/3*z**4 - 242*z**2 + 44\/3*z**3 - 4*z. Factor x(g).\nAnswer: -4*(g - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -4*q**3\/21 - 152*q**2\/7 + 3060*q\/7 + 2389. Factor v(h).\nAnswer: -4*(h - 9)*(h + 85)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i + 3. Let k(c) = -3*c + 38. Let y be k(-17). Let t = y + -87. Suppose 3*d = -t*n - 3, -n - 4 = -d - 10. Calculate v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i + i)*(-2*i**2 - 1 + 1) - 2*i**3 + 2*i**3 + 3*i**3 - 16*i**3 - 23*i**3 - 7*i**3 in the form n + v*i**2 + k*i**3 + g*i and give k.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5486, 194, -2, 15 in increasing order.\nAnswer: -2, 15, 194, 5486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14803, -1, 4, -5 in decreasing order.\nAnswer: 4, -1, -5, -14803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8 - f**3 + 1 + 2*f**3 + 7*f**2 - 10*f. Calculate the remainder when 26 is divided by a(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17b6 - -4?\nAnswer: -17b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 360391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/10065 and -53\/485.\nAnswer: 976305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23492, 46991, 70488, 93983, 117476, 140967?\n\"Answer: -n**2 + 23502*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 1177*n - 1166*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Find the first derivative of 0*k**b - k**4 + 1 - 4 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 42*n**2 - 101*n - 1152. What are the prime factors of b(-18)?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -34, -23, 8, -1, 4.\nAnswer: -34, -23, -2, -1, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t - 16 = -4*a, -5*t + 28 = a. Suppose 5*c + 20 = 5*q, 0 = c + 2*q - 3 + 4. Sort -5, c, a in descending order.\nAnswer: a, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-351)\/585*(-2521940)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -914 or -515?\nAnswer: -914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -4. Calculate the remainder when 3 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 20*c**2 + 4*c**2 - c**3 - 11 + 0*c**2 - 32*c. Is b(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojtpmoojjpo. Give prob of picking 1 p, 1 m, and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68997*v**4 - 97135*v wrt v.\nAnswer: 827964*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162 - 120*i**3 - 189*i**3 - 98*i**3 with respect to i.\nAnswer: -1221*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 3 - 6*s - 5. Suppose 0 = 2*n - 1 + 5. Give z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 174 = -105. Solve 0 = 4*w + 2*l + l - 24, -b*l + 21 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrtrrrrrtrrr. What is prob of sequence rrr?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1074 - -1089. Solve -9 = -2*x - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 57017675*l**2 + 812753787092568*l + 812753844110244.\nAnswer: (l - 28508838)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 227. Calculate the greatest common divisor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*j**2 + 22\/3 + 3*j.\nAnswer: -(j - 11)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1813 take away -504.9?\nAnswer: 497.7187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8740 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10458 is divided by 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(180) - (sqrt(720) - (0 + sqrt(720)))**2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 6*m. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a + 4. Let i(m) = -20*m - 11. Let o be (-2)\/(-5)*15\/1. Let j = -14 + 31. Let t(n) = j*v(n) + o*i(n). What is t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33*(-1)\/6*2. Solve -3*x = -4 - c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -5 + 2 - (-3 + 7)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -565, 14, -40 in increasing order.\nAnswer: -565, -40, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.092 (b) 25\/3 (c) -42 (d) 3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -128106, -256250, -384400, -512556, -640718?\n\"Answer: -3*o**2 - 128135*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349633?\nAnswer: 43, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(25584\/(-16))*3*((-12)\/8)\/3?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(-2)*16\/(-24). Let f = v - -17. Suppose 41*s - 81 = 32*s. Solve 3*m + 4*a + a = -5, 5*m - s = -f*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 4*q)*(5 + 5*q - 5) - 2*q**2 - q**2 + 4*q**2 + 0*q**2 + 3*q**2 - 5*q**2 + (-3 + 7 + 2)*(0*q**2 + q**2 + 0*q**2).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 - 4*b + 4. Let a be q(-5). Let s(k) = 224*k + 31. Let w be s(-8). Is (w\/9)\/(a\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 27*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79235757 divided by 5?\nAnswer: -79235757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**7*b)*b**0)\/(b\/(b\/(b**(-7)*b))*b**0) assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 - 0.577. Round w to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2479761 and 25299842?\nAnswer: 27779603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*-4*sqrt(1088) + 0 + -4)*-3.\nAnswer: 18 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 17*k + 33 = i, -4*i = -2*k - 114. Suppose 7*x - 5*s - i = 4*x, 4*x + 2*s - 20 = 0. Solve x*z = 3*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Suppose 2*b = 3*o - 49, 0*o + 4*b = o - 23. Suppose 10*c = o*c - 25. Let a(y) = -3*y - c*y**2 + y**2 + 3*y. Give k(a(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)**(-42)\/((j**(-12)*j)\/j*j**(-14)))**(-7) assuming j is positive.\nAnswer: j**994","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let c be (-1 + 5)*a\/4. Suppose -6 = -c*f - f. Solve -f*r + 10 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + 2. Let s = 1 + -1. Suppose 6*l - l = s. Let w be z(l). Solve 2*h - n + 2 + 6 = 0, -w*h = n + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453213 (base 12) to base 8\nAnswer: -4155157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 7, 34, 81, 154?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20720 (base 8) in base 6?\nAnswer: 104024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4052, 6946, 9850, 12764, 15688, 18622, 21566?\nAnswer: 24520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -7.7, 1\/4, 22, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 1 + 1)*(3*j - 3*j**2 - j**2 + 6*j**2).\nAnswer: 2*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4113236 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -863 + 864. What is the biggest value in 53, -1\/5, k?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115080491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 614096137 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8 (b) -0.26 (c) -4\/3 (d) 17 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/3 - 19*o. Let c(r) = -29*r. Give c(l(b)).\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27459860 or -27459858?\nAnswer: -27459860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 6, t: 3, z: 4}. What is prob of sequence ktzy?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*q - 106*q = 1972. Suppose -102 = -2*u + 116. Calculate the remainder when u is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1516\/(-18950))\/((-6)\/(-5)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -91*l**2 + l + 1. Let f be t(1). Let k = -63 - f. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4.32 (b) 3 (c) 0.0461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10046 is divided by 1207?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -2.06. Let b = 1579 - 1578.8. What is the biggest value in b, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (8 + (-9 - 16) + 13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 12*m + 3*i = 4, 5*i = -4*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.39277 + 28.12.\nAnswer: 51.51277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/69*(30\/(-4) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.9564835 + 144884.\nAnswer: 144894.9564835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 5. Let p be f(-5). Let z(h) = -5*h + 10. Let r be z(8). Let m be -2*(1 + 21\/r). Which is greater: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5743 times -7.32?\nAnswer: 42038.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5 + 32. Let q = -12 + w. Let v = 32 + q. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45660323263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.2204191 minutes to days.\nAnswer: 0.005708624375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + -1 + sqrt(704) + sqrt(704) + -1 - sqrt(22)\/((sqrt(2) - sqrt(32))*6).\nAnswer: -5 + 307*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 + 81. Let w(g) = g**3 + 5*g**2 - 8*g - 13. Let y be w(b). Which is smaller: 2\/397 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -37. Suppose -7*w + q = -5*w. What is the remainder when 109 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 + 1*22. Let n be 6\/(2\/3 + 4\/3). Let z be n\/(-2) - (1855\/14)\/(-5). Solve 0*w = -4*w - l, 5*o - 5*w - z = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8125 and 926185.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/2)\/40)\/(3\/42).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 11. Let u be g(3). Suppose -2*h - 325 = -3*v + 4573, -u*v = -2*h - 3268. List the prime factors of v.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72431 * -1.2.\nAnswer: 86917.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-14)*88\/7040*70?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -d, -j - 16*d + 14*d - 10 = -2 + 6 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 20 + (140 - 158) + (1 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h + 568 = -150*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 118, 119, 120, 121, 122, 123?\n\"Answer: t + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0 + 1\/2*w**6 - 1\/2*w**4 + 0*w**3 - 9\/20*w**5 + 0*w**2 - 9*w. Solve t(v) = 0 for v.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*b - 5*l + 9, -2*b = -5*l - 14. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 5*p + 2. Let h be r(-4). Let g be 3 + (5 - 4\/4). Solve 4*x - 3*q = 13, 2*x = -q + h - g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11730002 = 4*f - 7*f - 2*t, -t - 7819999 = -2*f. What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvjjmpjmppvjjpppj. What is prob of picking 1 j and 1 v?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1243 + -1215. What is the lowest common multiple of 6 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18975.3 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/14)\/((-2)\/(-7)) - -3. Solve -6*s = -c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945617425 divided by 5?\nAnswer: 189123485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(5*(-6)\/(-90))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -42, -61, -82?\n\"Answer: -a**2 - 14*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.67499629 + -0.675. Round u to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.14 + 0.34. Let o = k + 6. Is o > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)*b)\/((b*b**(-1\/13)*b)\/b)*((b\/(b*b**(1\/2)*b*b)*b)\/b)\/(b**(-1\/12)\/b*b*b) assuming b is positive.\nAnswer: b**(-3641\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113103 + -212?\nAnswer: 112231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**9\/10584 + t**8\/5880 - t**3\/6 - 2*t**2. Let j(o) be the first derivative of z(o). Factor j(m).\nAnswer: -2*m**4*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 377\/(-182)*2 - (7 - 11)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 1 + 1)*(1 + 0 - 4)*(-112*t - 106*t + 214*t + 25*t**2) - 4 - 2*t**3 + 4 as a*t**3 + d*t + j*t**2 + i and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204155.\nAnswer: 5, 7, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-4) - 2\/8. Suppose -s = -5*z - 28. Let b = z - -13. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6609772 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r - 32*r - 207*r + (5 + 3 - 6)*(0*r + r + 0*r) as f + l*r and give l.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-12))\/10*-18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 24. Let c be p(-13). What are the prime factors of (c - 1)*-1*173\/3?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10517 and -0.05.\nAnswer: -10517.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:40 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -136910*t + 136953*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {u: 6, q: 4, x: 1, o: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -6. Calculate the greatest common divisor of s and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/14 + (-53)\/7 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - d**2 - 5*d**3 + 2*d**3 + d**2.\nAnswer: -3*d**3 + 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 248. Let h = 124 - t. What is the closest to -1\/3 in -5, 0.3, 2\/41, h?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let w(p) = -152*p**2. Determine b(w(f)).\nAnswer: 304*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -18*(-8)\/12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-540)\/5*(-134)\/(-42). Let g = -346 - u. Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.1447909.\nAnswer: -0.02895818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3 - 3 - 4*z + z + z + (2 - 4 + 4)*(z - 3*z + 0*z) - 45*z - 215 + 215 + 0*z - 2*z + z + (-3*z - 2*z + 4*z)*(-2 + 2 + 1).\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-29))\/(w*(w*w\/w**(-15)*w)\/w))\/(w\/(((w*w**(3\/5))\/w)\/w)*w*w**5*w) assuming w is positive.\nAnswer: w**(-262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-5))\/((-5)\/(-25)). Suppose -q = 4*h + 5*t, 0*h = -4*h - 2*t + 8. Suppose 0 = 5*n + 4*c - 16, 3*n = n - 4*c + h. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from ldhlinlhl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:42 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwcwcwccccwwwwwcccc. Give prob of sequence wccw.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/13 (b) 0.3 (c) -9 (d) -1 (e) 5 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f**3 + 5*f**2 - 5*f - 137. Give g(-5).\nAnswer: 2138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254162546 is divided by 13376976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cbb + -2?\nAnswer: cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**3 + 6*k**2 - 12*k - 5. Let g be o(4). Let x = g - -488. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.354 + 4.334. Let v = -0.02 - t. Let j = 1.16 - 0.16. What is the second smallest value in j, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**3 - 3*m - 2. What is z(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6\/10)\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -q. Let i(n) = 7*n**2 + 22*n. Let l(y) = 2*y**2 + 7*y. Let s(d) = q*i(d) + 8*l(d). Determine t so that s(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1520 = 1600. Are 1039 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 3*t - 6. Let m(b) = 9*b**2 + 5*b + 11. Give -3*m(j) - 5*o(j).\nAnswer: -2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-42))\/(2\/14). Let f(o) = o**3 + 5*o**2 - 4*o + 7. Calculate f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by -20.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 11, -3109.\nAnswer: -3109, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, b: 3}. Give prob of sequence bll.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k + 6*k**3 - 2 + 16*k + 7*k**2 - 3*k**4 - 5*k as l*k**3 + b*k**2 + u + j*k + i*k**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-181)\/(-3) + 10\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.5 - -41.324. Let q = 0.109 + k. Are -1\/3 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3984000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -735*t + 728*t + 70 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-300)\/(-8)))\/(7676\/(-4260180)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46 - 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.698193 years?\nAnswer: 0.06698193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 49*f - 174. Let l be w(-6). Let y = l - -546. Calculate the remainder when y is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709 = -2*z + 301. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 2. What is r(-7)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109284533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p + 62 + 92 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1797657016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 54*d**2 - 3*d - 1. Let c(a) = a**2. Let p(q) = -4*c(q) - s(q). Find the second derivative of p(f) wrt f.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 2 + 12210\/3055. Let s = 603\/2444 - r. Which is bigger: -65 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1005 and 40335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 895 + -895.6. Which is smaller: -2\/241 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w + 54*w = -34*w - 1199 - 25 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43140045 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(-3*b + 3*b + b**2) - b**2 - 2*b**2 - 4*b**2 + 1 to the form s*b + x + z*b**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23856 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(54\/135)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -4*y, 4*y - n = -6*n + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 - -11) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-69 + 32 + -4) - -24?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/12 - (35\/5 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/14*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -69029166 rounded to the nearest 1000000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 5, -4, -3 in increasing order.\nAnswer: -4, -3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkqv when four letters picked without replacement from vkkkvkkkkqkq.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or -366?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 + 2*m + 3. Suppose 3 = -k + 1. Suppose 0 = 5*o + 2*r - 127, -4*o = -0*o + 3*r - 96. What is the least common multiple of y(k) and o?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2086\/(-8))\/(3\/(-24)). Let n = b + -423. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let g(p) = -14*p**2 + 8*p - 2. Let f(o) = o**2 + 1. Let h(j) = 2*f(j) + g(j). Let m(c) = -c. Let q(r) = 5*h(r) + 40*m(r). Determine q(y(a)).\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3660532 = 74*j + 2358787 - 2836631. What is the ten thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 724945673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -284*p + 42*p**3 + 284*p - p**3 + 0*p + 0*p + (1 - 1 - 6)*(p**2 - p**2 - 2*p**3).\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -40. Let q = l + -9. Let y = -520 + 781. What is the greatest common factor of q and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31283\/127458 + -29\/1314. Let q = 57140\/33 + -1730. Calculate the common denominator of q and k.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 3 + 3)*(-6*t + 3*t - 3*t) in the form r*t + n*t**2 + m and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/d*d*(d\/((d**(-4\/9)*d)\/d)*d*d)\/d*((((d*d**8)\/d)\/d)\/d)\/d*d*d**(-3)\/d)\/((d**(-8)*d)\/(d*d**(-2\/11)\/d))**(-14) assuming d is positive.\nAnswer: d**(-8218\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36604 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/12*(-49)\/2940*-96 - -125?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8218.5 + -8218. What is the second smallest value in -1\/7, -1, x, -76, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 33795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + 4 = 0. Let a(w) = w**h + 2*w**2 - w**2. Let u(i) = -4*i. What is u(a(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1767.81 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 2*m**4 + 2*m**4 - m**4 - 3*m**4 + 2*m**4 + (-m**2 + 0*m**2 + 2*m**2)*(m**2 + 5*m - 5*m).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 2 (c) 18 (d) 4 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4366\/29 or -45.2?\nAnswer: 4366\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30370 - -12270. Round s to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19906 divided by -9953?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 25 = 0, -2*p = 2*f - 5*p - 31. Let l be 6*4*4\/f. Solve 2*u = 2*s - 8, 3*u + u + l = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -8d?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.243 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -16012?\nAnswer: -1600d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 3*(sqrt(78)*-2 - sqrt(78) - sqrt(78)))\/(sqrt(6) - (sqrt(6) - -2*sqrt(384))) - 3*sqrt(52)\/(sqrt(24)\/sqrt(6)*6).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:26 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14848640 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {i: 1, z: 1, l: 2, m: 3, v: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Suppose 0*q + 23 = -2*t + d*q, 5*t = 4*q - 32. Does 3 divide 1\/(t\/(2 - 70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 160728 = -194784. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s**3 + 253*s**2 + 42*s - 204. Give q(15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 305*o + 305*o.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100100001 (base 2) in base 15?\nAnswer: 1b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/46, -4\/7, 0.5, 46, -2, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 511, 575, 633, 679, 707, 711?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0816277 and 0.2.\nAnswer: 0.21632554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -33. Suppose 0 = -17*j + 2*j - 5415. Let c = -313 - j. Calculate the greatest common factor of c and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**5 - n**4 - 2*n**2 - 1. Let u(s) = -6*s**5 + 10*s**4 - 80*s**3 + 190*s**2 - 240*s + 107. Let m(w) = 2*u(w) - 10*y(w). What is d in m(d) = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s - 16*s + 1001 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u + 82. Let a(b) = -18*b - 155. Determine -5*a(k) - 9*l(k).\nAnswer: 9*k + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose -5*l + 2 = -c, -4*c - a*l + 128 = 16. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17721554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/2*2\/(-4). Let w be (-1 + -1)*12\/x. Suppose -2*p - w*p = -45. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h - 177*h**2 + 60*h**2 + 54*h**2 + 61*h**2 in the form t*h + m + n*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*l + 17. Suppose -9*u - 50 = u. Let q = u + l. Solve -1 = 2*r - t, 3*r + 24 = -q*r - 3*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -105. Let p be 670\/7 + (-28)\/(-98). Let d = u + p. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c - 5. Let j be (5\/(-45)*3)\/(1\/(-15)). Let k(n) = -2*n - 8. Let d(r) = -2*r - 7. Let u(f) = j*d(f) - 4*k(f). Calculate u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 4*x + 7. Let b be u(6). Let r = -1 + b. Calculate the remainder when (-2)\/4 - 69\/r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/2 + 9\/4. Let j = 22 + -27. Suppose -155*y + 5*p = -154*y + 1, -3*y = 4*p + 3. What is the nearest to 2 in q, y, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -27, -81, -189, -369, -639?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -9) + (-4 - -1). Suppose 4*s = -z + 9, w*s + 2*z = 2*s. Let b = 2 - -22. Calculate the least common multiple of s and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -385 - -3a?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13.57 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40703 less than 22255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose -3*v + g + 90 = 0. Let q(n) = -n**3 - n + 75. Let w be q(0). Calculate the highest common divisor of v and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -147690*n - 30. Let j be r(13). What is j rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(325) + sqrt(325) + -4 + 3)*-4)**2.\nAnswer: -13440*sqrt(13) + 749584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 25. Let d = -39 - f. Calculate the remainder when 100 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.72 to 0 dps.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 259008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**2 - 5. Let j(t) = 25*t**2 - 8. Let z(c) = 5*j(c) - 8*w(c). Let p(k) = -354*k. Calculate z(p(v)).\nAnswer: -375948*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 57 = -3*z, -335*u - 48 = 3*z - 339*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 13*s - 8. Let z(a) = -a**3 + a + 11. Let o be z(0). Let f = o + s. What is the least common multiple of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l**2 - 17*l**3 - 10*l**2 - 1 + 2*l + 14*l**3 to r*l**3 + s*l**2 + k + u*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113998248 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*c - 53*c + 47*c as y*c + w and give y.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1273280 by -3460.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*v = 7, -2*u = -2*v + 3*v - 14. What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j**2. Let u(i) = 930116*i**2. What is p(u(g))?\nAnswer: 8651157734560*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-6)\/(-15) + -2). Let p = 2 - 3. Let y = 14.9 - 10.9. What is the smallest value in a, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(144\/42)*-4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -180*y + 174*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -336.1628 * 2.\nAnswer: -672.3256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2084710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 - 3*z - 5. Let q = -9 - -5. Let u(t) = -5*t**2 - t - 6. Let m(h) = 5*h**2 + 6. Let o(c) = -3*m(c) - 4*u(c). Calculate q*p(y) - 3*o(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680283 is divided by 169737?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 3) + -3 + -2 + 3. Let n be (56\/3)\/7 + y\/(-3). Factor 0*p - 5*p**2 + 13*p - n*p + 0*p - 5.\nAnswer: -5*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 9*q + 6. Let d be h(9). Let l be (4 - d)\/1 - -4. Find the third derivative of 3*i**4 - 6*i**4 - 8*i**l - 4*i**4 wrt i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367 + 2450 + (-9 - 1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1 + i + 3*i**2 - 134*i**3 - 2*i**2 + 2*i**2 - 65*i**3. Let u be z(-1). List the prime factors of ((-6)\/4)\/((-6)\/u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 20 = -2*g. Let x be (-3085)\/(-30) + 24\/(-18). Let o = x + -101. What is the nearest to 2 in o, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*-3 - (sqrt(70) + sqrt(70)*2)\/sqrt(10)) + -1 + ((sqrt(308)*1)\/sqrt(11))\/sqrt(4))**2.\nAnswer: 70*sqrt(7) + 8576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - g - 199 = 0, 4*n + 0*g - 267 = g. What is the tens digit of (2 + -4)\/((-2)\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750\/(-625)*(-4)\/6*-2*175\/(-5)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3265 = -9*k. List the prime factors of k.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86960 is divided by 146.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 511 - 937. Let b = q - -1098. Calculate the highest common divisor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l. Let f be i(-1). Let q be (f\/(-5))\/(10\/(-850)). Calculate the greatest common divisor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 27 = -3*a, 5*a - 15 = -169*s + 164*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/20*470\/(-564))\/(4\/(-450)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213373 is divided by 70?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25723 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose b*s = -j + 140 - 41, 4*s = 4. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*z**3 + z**2 - 1445*z wrt z.\nAnswer: -288*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 - 483*a - 370. Give b(-60).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -245. Suppose 5*l - n = 26, -n + 19 = -0*l + 4*l. Let j(c) = -c**2 + 4*c + 6. Let a be j(l). Sort a, -4, t, -2.\nAnswer: -4, -2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 - -154. Which is the biggest value? (a) -2\/9 (b) z (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209354056.\nAnswer: 2, 26169257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 52 + -202 + 234?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 23*c**2 - 23*c + 27. Let r be h(22). Solve -30 = i + r*x, 11 = i - 4*x - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-6)\/(0 - -3)). Suppose j + x = -0*j. Let t be j\/(((-14)\/(-20))\/(-7)). Solve 0*k = 2*k - t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in -58, 0, 0.3, 0.4, 632?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29208749 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2338, 3\/7, -2\/19?\nAnswer: 2338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5\/7 - 44*d**4\/7 + 40*d**3\/7 + 424*d**2\/7 + 76*d + 28.\nAnswer: 4*(d - 7)**2*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/9 (c) -3 (d) -4\/1143 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - -5.85. Let m = p + -5.93. Let f = 0.37 - m. Sort -2\/5, -2\/3, f in ascending order.\nAnswer: -2\/3, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 4)*(-j + 0*j - 2*j) + 0*j + 0*j + j + (4 - 4 + 2*j)*(-1 + 6 - 4).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - y - 113 = 0, -3*o + 0 = 4*y - 54. Suppose -13 = 3*v - o. Solve v*r - 2 = -11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110121 + 323?\nAnswer: 110444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385275 divided by -25?\nAnswer: -55411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -1808?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1224 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7252 + 7134. Let v = -457654 - -457536.00384. Let j = d - v. What is j rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -139, -172, -205, -238, -271?\n\"Answer: -33*f - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16433 (base 7) to base 2.\nAnswer: 1001001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -30. Calculate the highest common factor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 14*r**2 - 37721 + 37721.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -154.74099.\nAnswer: -15.474099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nss when three letters picked without replacement from {y: 6, n: 2, s: 5}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scshhsscvhsshhc. Give prob of sequence hch.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-258)\/(-18) - 14)\/((-5)\/(-6)) - 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-2 - (-7 + 53 + -1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(540)*1 - sqrt(60))\/sqrt(12) - (1 + sqrt(5) + 2 + sqrt(720))).\nAnswer: 9 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + t**4 - 2*t**3 + (0*t + 0*t - 3*t)*(3*t**3 + 0*t**3 - t**3) + 0*t - t**4 + 0*t.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 27. Let y(x) = 9*x - 6*x - 10*x - 8*x. Calculate h(y(f)).\nAnswer: -45*f + 27","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 387204627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593 = o - 3*f - 2901, 0 = 5*f + 5. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l + 1. Let v(o) = 3*o**3 + 12*o**2 - o. Let b be (-1 + 2)*1 - (-11 - -6). Let n(f) = b*k(f) - v(f). What are the prime factors of n(-4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from {d: 1, i: 2, r: 3, y: 1, s: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1413660 + 1413663. Determine w, given that 2\/19*w**5 + 6\/19*w**4 - 24\/19*w - 2\/19*w**d - 22\/19*w**2 - 8\/19 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5707040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 35. Let u be i(-11). Let y = 1 + 7. What is the units digit of 98\/y + (-5)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4481905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a - 2099. What is t(98)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 18*g**2 + 2*g - 33. Let b be o(18). List the prime factors of 516*((-7)\/b)\/(-7).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-65)\/(-50). What is the closest to 0.1 in 5, 17, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twuwguuttut. Give prob of picking 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -151, -142, -133, -124?\n\"Answer: 9*x - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-4 - -8)) + 1 + -7 - (-11928 - -11926).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 1, q: 1, o: 1, l: 1, n: 1}. Give prob of picking 2 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4485 and -83\/138.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 10*d**5\/11 - 1616*d**4\/11 + 12762*d**3\/11 + 60444*d**2\/11 + 22032*d\/11 = 0?\nAnswer: -3, -2\/5, 0, 12, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/4*(-24)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*a = -58*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2\/19, -0.1, 426, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 4*d**3 + 6*d**2 - 4*d - 5.\nAnswer: -(d - 5)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5483\/6 != -913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 6, 1, -95, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51552 (base 6) to base 16.\nAnswer: 1afc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 102\/11 (b) -6 (c) -2\/47 (d) -32 (e) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -4)\/(2\/(-6)). Factor -8*t**4 - 2*t + 2*t + 6*t**5 + 2*t**o.\nAnswer: 2*t**3*(t - 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 2*r**2 - 8*r - r - 4 + 5*r. Calculate l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 130*n - 397*n + 98*n + 94*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a + 1139. Determine u(-50).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*d**3*r**3 + 6*d**3*r + 14*d**2*r + d*r**3 wrt r.\nAnswer: 168*d**3*r + 6*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 7*s + 5. Let q(g) = -g**2 - 29*g + 16. Let w be q(-26). Let x = -98 + w. Calculate p(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.260124*1\nAnswer: 12.260124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 124*i = 122*i + 1, -5*c - 7 = -7*c + i + 20 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 9*l - 6*l + 19*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a + 7?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 10, 4*t - 5*j + 6 = 0. Solve k - 5*y - 18 = 0, -4*k - 3*y + 2 = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -24. Suppose -3*g - 16 = x. Let a be 4\/(-6) + 11\/g. Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32341 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 3*s. Suppose 0 = -f - 0 + 6, -38 = -4*h - 3*f. Let o = 33 - 19. Solve 4*p = 5*u + 15, -3*u - 4*p + h - o = s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 227324 and 260.\nAnswer: 14776060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 3*z**2 - 7*z**2 + 7*z**2.\nAnswer: -3*z**2 + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0437 - 168.\nAnswer: -167.9563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 460*c**2 + 1828*c + 1824 = 0. Calculate c.\nAnswer: -456, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1164*g + 5941. What are the prime factors of l(13)?\nAnswer: 13, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255a346 (base 12) to base 16.\nAnswer: -6ff666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6863542*g**5 + 6096425*g.\nAnswer: 137270840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-25)\/(-30)*4). Let b = 4\/5 + s. Let n = 3 + -2.9. What is the biggest value in b, 15, n?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*d - 1. Is d at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7aa - -260?\nAnswer: -54a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16619*c - 166223. Give g(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10284743, -20569513, -30854283, -41139053, -51423823?\n\"Answer: -10284770*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*f + 14 = -8, 5*f = -15. Let r = -17 + 21. Suppose -r*o - 22 = -38. Solve x - m*w = 6, 0*x - 2*x + o = -4*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7644297 smaller than -7644295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c**2 + c + (-4*c + 2*c + c)*(-3*c + c + 4*c) + 850 - 850 + 123*c**2)*(20*c**3 - 241*c + 241*c).\nAnswer: 2440*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586a (base 12) in base 14?\nAnswer: b226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -178.519*-84\nAnswer: 14995.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - 3*b**2 - b**2)*(-4 - 1 + 2) + b**2 - 22 + 23 - 3*b**2 to x*b + m*b**2 + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 7 - 3405*u**2 - 2*u + 3448*u**2. Is m(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -0.14, 1.6, 1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19820, -2, 2, -4 in ascending order.\nAnswer: -19820, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Suppose -4*b - b = 0. Let h(s) be the second derivative of -1\/4*s**4 + 0*s**2 + b + 0*s**3 - 2*s. Give h(w(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1406*m**3*o**2 - 132*m**3 + 3*m*o wrt o?\nAnswer: 2812*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 108*v - 771. Calculate h(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10823 is divided by 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 105. Solve 2*y - 4*s + 1 = -3, -y - m*s = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*b + 38 = 0, 2*n + 9*b - 13 = 96 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84685 is divided by 41612.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -2399.\nAnswer: 78\/2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkmkkkkkkkk. What is prob of sequence km?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8136 + 7807 - 13*w - 32200 + 8128 + 8129.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0*b**3 - 5\/12*b**4 + 0 + 0*b**5 + 8*b + 1\/21*b**7 + 0*b**6 + 0*b**2. Find the third derivative of a(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/4*(-12)\/15. Let h = 4 - 2. Suppose 0 = -5*k + p + 25, -3*k + 5*p = h*k - 25. Solve -k*i + 1 = s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 962228303 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2778 by 666.\nAnswer: -463\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7))**2*-5 + -1 + (sqrt(224)\/sqrt(2) - (-1 + sqrt(343))**2).\nAnswer: -485 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 5. Let b be (-3)\/((-3)\/(-9) + 0). Let a be r(b). Let q(v) = 1 + 4*v - 2 - v**2 - 4. Give q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8391*a + 3 = -8390*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -3\/9674 in ascending order.\nAnswer: -3, -3\/9674, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 13*c - 2. Let d be -14*(15\/6 - 8\/4). Let r be z(d). Suppose -3*m - 156 = -r*m - 2*b, 0 = -4*m + 4*b + 328. 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: Let w(x) be the first derivative of 1\/2*x**2 - 1\/3*x**3 + 0*x + 8. Let d(o) = -5*o**2 + 5*o - 2. What is d(n) - 3*w(n)?\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 201. Let a be s(-15). Suppose -5*j = -3*q + a + 245, -4*j - 544 = -4*q. Is q at least 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27892870?\nAnswer: 2, 5, 31, 89977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -826*a + 808*a - 54 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-131721562)\/(-6220) - 2\/(-20)*-1?\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 6*h + 7 + 4*h. Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*sqrt(2) + 1 + 5.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + -0.01. Let q(x) = -39*x + 4. Let w be q(-5). Let z = w + -1793\/9. Which is the nearest to o? (a) 4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -364*k - 2144. What is the least common multiple of v(-6) and 175?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470 and 1414982.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u = -87*u + 136 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111.645 - -112. Let l = 5.095 - t. Let a = 0.04 - l. What is a rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -37487\nAnswer: -26240.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1108434 microseconds in days?\nAnswer: 0.0000000002790606875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -82, -184, -354, -610?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2 + 17. Let x(v) = -14*v + 19. Let f be x(3). Let c = w - f. Is 38 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a factor of 56403816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b**2 + b**4 - 2*b**4 - 5*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214525, -214532, -214543, -214558, -214577, -214600, -214627?\nAnswer: -214658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**3 + 2*i - 1. Let l(d) = d + 13. Let z = -4 - 7. Let f be l(z). Suppose -4*h + y + 7 = 4*y, f*h + 2*y - 4 = 0. Give v(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 20*f - 298. Let d be o(-25). What is the hundreds digit of 6*(-8)\/(96\/d) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/55774524 and -47\/208.\nAnswer: 223098096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37657*x**3 + 5869*x**3 + 4623*x**3 + 16696*x**3.\nAnswer: -10469*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f - 8. Let t be o(6). Let s = 10 - t. Let p be (-2)\/(-6)*s\/10. Which is the second biggest value? (a) p (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/5)\/v)\/v*(v*v**(-2\/7))\/v assuming v is positive.\nAnswer: v**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27605722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 443 (base 7) to base 8\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/5 + 8*x**3\/5 - 6*x**2\/5.\nAnswer: -2*x**2*(x - 3)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/2 - 2*s**3\/3 + s + 34. Let l(j) = 2*j + 9. Let q be l(12). Suppose h - 9 = -5*t - q, 5*t + 20 = -5*h. What is z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = -2*v - 16, -v + 20 = 2*j. Let h(f) = 15*f**2 - 7*f**2 - 4*f + 2*f + 5 - f**3 - j*f**2. Is 4 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*-3*5\/60. What is the third biggest value in 1, -5, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 - 3\/(-1). Suppose h*c - 9420 = -4*b, 5*b - 5*c - 8239 = 3486. Round b to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57117027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aen when three letters picked without replacement from evsssfnsnsssas?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 1. Suppose 20 = r + 4*r. Let d be g(r). Solve -4*m + m - h = -13, h + d = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3222*w + 4100*w - 601952 = -4254*w for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f + 10. Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 21 + 1. Suppose -6*b + 3*b = -6. Solve -j*t + b = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.149576.\nAnswer: -0.74788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 9*t + 101. Let x be b(0). Let f = -80 + x. What is the remainder when 41 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/75 (b) -2\/19 (c) -2 (d) -3 (e) 25 (f) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - 63*r**2 + 44*r + 95. What is the tens digit of g(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -16, 2 = -2*l + 2*f - 0. Suppose l*n = 4*k - 1, -2 = -2*n + 5*k - 12. Solve n*y = -13 + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -16*q**5\/7 - 76812*q**4\/7 - 91600604*q**3\/7 + 201922504*q**2 - 235213440*q + 46387712 = 0.\nAnswer: -2408, 1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -520?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/21 - -11)\/(1 - 3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 49 = 3*p, 7 - 32 = -5*x - 5*p. What is the remainder when 21 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30\/7 (b) 1\/10 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627611419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44807, 44802, 44795, 44786?\nAnswer: 44775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - x**2 + 1. Let h(j) = 16*j**2 - 6 - 5*j**2 + 4*j**3 + 0 + j**3. Let o(v) = -h(v) - 6*y(v). What is the third derivative of o(s) wrt s?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.04728s in microseconds?\nAnswer: 11047280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 8397\nAnswer: 2\/2799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 + -125. Calculate the remainder when 75 is divided by c + 7\/(-21)*0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31842 + 31847. What is the closest to -6 in 0.16, -0.3, 3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 2 x when four letters picked without replacement from wxccxwwcccxwwcwwwwxw.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555365.2 hours in days?\nAnswer: 106473.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12) + (-87)\/(-9). Let q = 14 - o. Find the second derivative of 6*y + 16*y**q - 7*y**5 - 11*y**5 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5274994519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 7*i - 25. What is the lowest common multiple of 120 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92458424 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h. Let q(y) = 10 + 0*y**2 + 2 + 9*y**2 + 6*y**2. Let a(c) = -q(c) + 12*w(c). Factor a(z).\nAnswer: -3*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/19 (b) -845\/6 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.6, -4, -6\/73 in descending order.\nAnswer: -6\/73, -4, -21.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 10. Let q be r(-5). Which is bigger: q or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Suppose -v*r = -r. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.49 (b) -0.5 (c) -0.0022779\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18724 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-1 - 6 - 5)*(-5 + g**4 + 5) - 4*g**4 + 4*g**4 - g**4.\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 137 = -134. Let p(y) = -28*y**i + 7*y**3 - 4*y - 2*y**2 - 1 - 3*y**3 + 2*y. Determine p(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*g + 127*g - 118 = 2*b, -3*b - 224 = -4*g. Suppose 6*p = p + 155. Calculate the remainder when g is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/127805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9960229 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179033257?\nAnswer: 13, 19, 38149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*b - 84*b**2 - 12*b**3 - 20*b**3 - 12*b - 960 - 82*b**3 + 110*b**3.\nAnswer: -4*(b + 4)*(b + 5)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8634972 is divided by 23150?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 11:53 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let n(a) = -20170420*a. What is n(o(k))?\nAnswer: -40340840*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 - 10*a**2 + 49*a**2 - 8.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c = 17*c + 2523 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 + 101 + 3 + 0 + (-76 - 2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 236 = 3*z, 84 = 5*z - 4*z + 3*n. Suppose -183 = -4*d + 3*r, 6*d + r - 195 = 2*d. Calculate the highest common factor of z and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28368\/(-640) - 1\/(-8). Let q = 47 + n. Find h, given that q*h**2 - 24\/5*h - 8\/5 = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -81. Let w(z) = z**2 - 11*z - 10. Calculate w(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3 + 16*j + 3 + 8 + 2 + 50693*j**2. Let a be y(12). What is a rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 16. Let y be q(12). Let j = 13 + -16. Let g(r) = -r**3 - 4*r**2 + 3*r - 1. Let m(w) = -2*w**3 - 5*w**2 + 4*w - 1. Determine j*m(k) + y*g(k).\nAnswer: 2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(7\/112*(2 + 0)). Solve 3*i = 23 - b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 389, 6, -9, 47 in descending order.\nAnswer: 389, 47, 6, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + sqrt(1216) + sqrt(1216) + 1 - -5*(sqrt(1216) + (sqrt(1216) - -1*sqrt(1216)))*-6)*-5)**2.\nAnswer: -70400*sqrt(19) + 235417700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*o**2 + 26752*o\/3 + 1372\/3.\nAnswer: -(o - 686)*(39*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 0. Suppose 156*f + 205 - 165 = 1288. Solve -y = -1, -f*i + 3*i + u = -y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i**2 - 105*i - 112. Let l(p) = -5*p**2 - 35*p - 37. Let b(q) = -21*l(q) + 6*w(q). Let s(h) = h + 1. What is 2*b(g) - 210*s(g)?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 24*a**3 + 27*a**2 - 54*a.\nAnswer: 3*a*(a - 1)*(a + 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 5. Let w(h) = h + 1. Suppose -4*u + q - 1 + 14 = 0, -2*u + 9 = -3*q. Let m be w(u). What is the units digit of t(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36036 and 99099.\nAnswer: 396396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x - 24 = 0. Let v = x - -9. Suppose u + i + 8 - 17 = 0, 0 = -4*u - v*i + 31. Solve a + 10 = -t + 5*t, -3*a + u*t = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11332640 and 16115.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(240))\/sqrt(8))\/(sqrt(60)\/sqrt(6)*6))**2 + (3 + -3*sqrt(48)*4)**2*-2.\nAnswer: -41525\/3 + 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1220 + -2932. Let n be 0 + 2 + -4 + k\/(-535). Factor -9\/5*z**2 + n*z + 3\/5*z**3 + 0.\nAnswer: 3*z*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 276*c**2 - 4*c - 276 = 0.\nAnswer: -69, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -0.4, -3, 0.4, 2\/521, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h + 6. Suppose -3*r - m + 270 = h*m, 0 = -r - 3*m + 92. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.029 - 3.971. Let m = 55.9 - 55.8. Let w = -1.3 + 0.9. Put w, x, m, -2\/9 in decreasing order.\nAnswer: m, -2\/9, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1668 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030237 rounded to 5 decimal places?\nAnswer: 0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {k: 18, r: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 4*l**2 - 9*l + 11 - l**2 + l**2. Let c be g(6). Are c and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 6143 = 2527. What is the greatest common factor of m and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403705 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n - 5*n + 0*n - 3*n + 2*n + (1 - 1 + 1)*(1 - 1 - 2*n) + n - n - n)*(-8*n**3 + n**3 + 0*n**3).\nAnswer: 35*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-28))\/(-3)*-2. Suppose -v - 3*v = -40. Let u(n) = n**2 - 10*n + 1. Let h be u(v). What is the closest to h in m, -1\/2, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 9*m**2 - m + 7. Let u be p(9). Let j = 6 + u. Solve 0 = -i + 7 - j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n + 0*n)*(-2 - 1 + 9)*(3 - 13*n + 1 + 12*n).\nAnswer: -18*n**2 + 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 466146.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1366*-0.12177.\nAnswer: 166.33782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5708533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*g + 13, 27*v = 163*g - 160*g - 69 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*j**2 - 668*j**2 - 639*j**2 + 2045*j**2.\nAnswer: 79*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, 5, -3\/7 in increasing order.\nAnswer: -5, -3\/7, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 10*j + 11. Let w be r(-8). Suppose 3*y - 26 = -11. Suppose -y*d - l = 9, -d + l + 4 = 1. Sort d, w, 2.\nAnswer: w, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.45019 to zero decimal places.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 - 1 = -3*q, 4 = -4*q. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30090 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 22. What is r(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/3 (b) 0.3 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, x: 2}. Give prob of sequence mx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2530 in 5, -0.1, 2, -3, -2, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1850)\/(-40) + 0 + (-1)\/(-4) and -29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 - (84 + 15)) + (-17 - 1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Let x be y - (-3 - -1) - -5. Let q be (-2785)\/35 + (-3)\/x. Round q to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1148081, 1148075, 1148071, 1148075, 1148093, 1148131, 1148195, 1148291?\nAnswer: 1148425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11 and -87\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15135065?\nAnswer: 5, 11, 275183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-3)\/(294\/140)*-7?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kun when three letters picked without replacement from {n: 9, u: 1, k: 1, t: 1, j: 4, x: 4}.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94194.\nAnswer: 2, 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -280 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -113, -86, -91, -140?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*s**3 - 4*s**2 - 338*s wrt s?\nAnswer: -2244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -30*d. Let m(w) = w. Calculate b(m(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -360.9 + 359.219. What is q rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 3}. What is prob of picking 2 a and 2 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:31 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*m**2 - 4 - 105*m**2 - 1 + 4*m**3 in the form w*m**2 + d*m + y*m**3 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c55b + 3?\nAnswer: 8c55e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 - 19*t - 130. What is the remainder when 131 is divided by z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35728, -71462, -107198, -142936, -178676?\nAnswer: -214418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4\/7*o**2 - 12\/7*o**3 + 12\/7*o + 0 - 4\/7*o**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o + 12. Let v = 26 - 38. Let r be s(v). What is the highest common divisor of r and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4295457 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**4 + 17*p**2 - 17*p**2)*(-2*p - p + 4*p)*(4 - 2 - 3).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyxqhxjqhjqj. What is prob of sequence jx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - (-12)\/5. Let f(b) = b**2 - 2*b - 3. Let s be f(w). Suppose -v + 2*v - 157 = s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6540 + 185*v - 736*v**2 + 2631 + 1514*v**2 - 780*v**2 wrt v.\nAnswer: -4*v + 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(5\/((-15)\/(-6))). Suppose 0 = 3*n - z*l - 0*l - 33, 0 = -3*n - 4*l + 5. Suppose -3*k + n = -11. Calculate the least common multiple of k and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 9*a - 3. Let l be q(-5). Let f = l + -66. Suppose 5*g + 1020 = j + 4*j, -g = -f. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 5, -15, -3 in ascending order.\nAnswer: -15, -4, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m*m\/m**1))\/(m**(-4\/9)*m**(-9))*(m**(-2)*m*m\/(m*m**(-1\/7)))\/(m\/(m*m*m*m\/m**(-2\/7)*m)*m*m**(-7)) assuming m is positive.\nAnswer: m**(2441\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(-42)\/((z**6\/z)\/((z\/z**9)\/z)) assuming z is positive.\nAnswer: z**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33200928*u**2 - 2*u + 12582616?\nAnswer: 66401856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -7*a - 32. Suppose 3*o - 4*o = -a. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6210 (base 8) to base 15.\nAnswer: -e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j + 43 - 13\/2*j**2. Give i(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1899 - 1863. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 104*c + 2. Let d be y(-7). Let z = -1026 - d. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 5b?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/7 + 726*b**2\/7 + 60768*b\/7 - 837216\/7 = 0. Calculate b.\nAnswer: -204, -171, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 - 515 = -3*j. Let b be 12\/21*42\/j. Is b less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**8\/280 + m**6\/40 + 7*m**3\/3 + 2. Let q(s) be the third derivative of w(s). Find the third derivative of q(c) wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k - 12. Suppose 0 = -5*n + 2*m - 38, -3*n + 4*m = -0*m + 34. Calculate the remainder when 69 is divided by f(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29057393665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l = 62*l - 120. Solve 2*x - 4 = -2*c, -3*x - 2*c + l = -c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/12 + 75*n**2. Let k(m) = -m - 10. Calculate x(k(z)).\nAnswer: -2*z - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.196117091 rounded to four dps?\nAnswer: -1.1961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 189? (a) -2 (b) -6\/5 (c) -1.1 (d) 4 (e) -1\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2627400, -2627400, -2627404, -2627412?\n\"Answer: -2*c**2 + 6*c - 2627404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7 - 2*p**3 + 6*p**2 + p**2 - 5*p + p**3. Let d be x(6). Let g = 2.9 + -3. Which is the third smallest value? (a) -4 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10571*b + 2*z = -10580*b + 89, -4*b - 90 = -5*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 19. Suppose -6725*l + 10423 + 616 + 13178 = 4042. Solve x = l*t + 11, 3*t + o = 6*x - 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/3*(-11)\/130*-3*(-115968)\/106304.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 12*l**2 + 6*l - 13. Let j be u(12). Let c = j - 39. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869736 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let x = v - 2. Suppose -2*m - x*m = -20. Solve -3*u + 6*u = -m*o - 8, 5*u = -o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2760463109 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. Let y be (1 - 0) + -1 + -2. Suppose -2*p = -u - 7, 22 = 5*p - 0*u - 4*u. Sort y, p, d in decreasing order.\nAnswer: p, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22636, -90461, -203496, -361735, -565172, -813801, -1107616, -1446611?\n\"Answer: a**3 - 22611*a**2 + a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 9*y**2 + 10*y + 4. Let t be p(10). Suppose 0 = t*d - 0*d. Suppose d = 4*f - 14 - 46. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 9*n**2 - 7*n - 5. Let m be u(8). Is (m + 3 + -16)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + 448 + 8*d**2 - 439)*(-2*d + 5 - 5) to t*d**3 + y*d**2 + k + i*d and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9867908 centuries in months?\nAnswer: 1184.14896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/((-2340)\/16)*(-18)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:59 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -37*p + 289. List the prime factors of l(-13).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63288 by 18.\nAnswer: 3516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. Let d = 2740 - 2739.7. Sort 1, d, 1\/2, x in descending order.\nAnswer: 1, 1\/2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*a + 16*a + 5*y - 1062 = -21*a, 27*a = 35*a - y - 72 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.8 (b) 4 (c) -186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4073, -4, 5, 72, -6 in ascending order.\nAnswer: -4073, -6, -4, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-1 - -2)) + 4. Let y be (-12)\/(-8) + (-3115)\/(-178). Solve 4*z - 3*z + 3*c - 3 = 0, -3*z + k*c - y = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*y**2 + 1464*y**2 - 1307*y - 732*y**2.\nAnswer: 2*y**2 - 1307*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69840.39ng in grams?\nAnswer: 0.00006984039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5426286.\nAnswer: 2, 3, 19, 47599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. List the prime factors of ((-1)\/3)\/(o\/102).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1299578311 to the nearest integer?\nAnswer: 36050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**3 - 4*n**2 - n + 1. Let k(i) = -11*i**3 + 5*i**2 + i - 1. Let l(r) = -4*k(r) - 5*p(r). What is l(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**5\/5 + 1063*k**3 + 3*k**2\/2 + 877*k - 3914. What is the second derivative of q(a) wrt a?\nAnswer: 12*a**2 + 6378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2135 = 5*g, -4*g + 0*g = 5*v + 1713. Let n = -417 - g. Solve 0 = -5*u + 2*t - n, -3*u - t + 2 = 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8394 + 8388. Let u(n) = 4 - 9 - 1 + n. What is u(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10544, 10530, 10488, 10406, 10272?\nAnswer: 10074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 20*n - 651 = 0. What is the common denominator of 23\/30 and ((-99)\/(-42) - -2)*n\/(-18)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.2 - -5.024. Let j = n + 40.676. Let i = j - 41. Which is the closest to 0.2? (a) -0.2 (b) 1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 8*p**2 - 9*p - 14. Let b be o(-3). What is the first derivative of 8244*x**3 - b - 8435*x**3 - 57 - 62 wrt x?\nAnswer: -573*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:36 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/13 and 83\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 66 - (-77 - -110)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, -4, -9.\nAnswer: -9, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*-2*sqrt(76) - sqrt(76))\/sqrt(4) + 1 - (sqrt(133)*-1*-2)\/((3*sqrt(14))\/sqrt(2)).\nAnswer: -41*sqrt(19)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - o - 1154 + 405 = 0, 3*z + 2*o = 2257. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0.033, -8.\nAnswer: -8, -4, 0.033, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/(35\/224*8). Factor 0 - 2\/5*q - l*q**2.\nAnswer: -2*q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*z + 205*z - 465*z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 3*z = 48. Suppose 77 = 5*b - 2*v - 31, 92 = 5*b + 2*v. Calculate the lowest common multiple of z and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2555364 is divided by 851787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {q: 2, n: 2, j: 8}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or -11365189?\nAnswer: -11365189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chmhccccyycmmeey. What is prob of picking 3 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 1, -4\/13, -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15748, 15758, 15768, 15778, 15788?\nAnswer: 15798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18055*m**2 + 6*m - 8. Let i = -7 - 5. Let c be w(i). 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 hundreds digit of 0 - ((-1710)\/6 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145495102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, 4, 13\/4 in decreasing order.\nAnswer: 4, 13\/4, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*w - 3*c = -786*w - 31, -2*w + c - 17 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 10:35 PM?\nAnswer: 545","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j\/(j*j\/(j*j\/((j**(-10)*j)\/j)))*j))**(4\/19) assuming j is positive.\nAnswer: j**(-52\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(32) - (sqrt(1573) + -1)**2.\nAnswer: -1574 + 89*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 11. Let d be g(3). Let y = d + 19. What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3132930900 by 5.\nAnswer: 626586180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2401 (base 5) in base 9?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 + -198 - (-1 - 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 11?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 9. Let x(d) = 3*d + 4. Let o(f) = -4*h(f) + 9*x(f). Calculate o(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1366.1217 nanoseconds to days.\nAnswer: 0.00000000001581159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**7\/21 + l**3\/6 - 2*l - 3. Let z(n) be the first derivative of i(n). Find the second derivative of z(w) wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 199 - 97 - 107 - 9*w + (5*w - 2*w - 4*w)*(-3 - 1 + 5) + w - 3*w + w - 2*w + 0 + 0 + 0*w - w + 3*w.\nAnswer: -11*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -2 + (16 - 5). Suppose x*c = 3*c. Suppose -b + c = -9. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (20\/(-5) - (-1 - 1)) + 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216.5 + 216. Let m = 5.2 - 1.2. Sort 0.11, j, m in decreasing order.\nAnswer: m, 0.11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35253 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: What is 1\/(-5)*(-20)\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 824. Is y(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -4251?\nAnswer: 422b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*c, -4*c = -0*u + 3*u - 24. Let k be -41*1 - (-5 + u). Round k to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1110101101111000001001110?\nAnswer: 1110101101111000001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 6 = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 6*v - 33. Let d be n(-6). Solve -j + d*x - 8 - 9 = 0, 0 = -j - 4*x + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/4 - z**3\/3 + z**2 - z - 2. Let h be j(1). Is -1 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004234361 rounded to seven dps?\nAnswer: -0.0000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 215346945 to the power of 1\/2, to the nearest integer?\nAnswer: 14675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-4) + 3\/(-4). Let v be (-2)\/(-6) + (-33)\/t. Let h = -9 + 9. Sort v, h, 5.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*g + 59210, 0 = 3*g + g - 8. Let y be ((-168)\/q)\/(1\/24). Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q. Let w(v) = 4*v**3 + 6*v. Suppose 0 = -m + 2, 4*z + 7 = z + 5*m. Calculate z*w(h) + 6*n(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/48)\/29*(1 - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/3 + 787384*z\/3 + 77496695432\/3 = 0?\nAnswer: -196846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69817440 + -5?\nAnswer: -69817445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 - 72*k + 6. Let j(o) = 23*o**3 - 215*o + 17. Give 6*j(c) - 17*m(c).\nAnswer: 2*c**3 - 66*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*h + 24, -2*m + 0*h = 5*h - 28. Suppose m*o - 32 = -2*v, -3*v + 3*o - 6*o = -60. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5239.7690959 - 5236.7691. Let f = -3 + y. What is f rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 3*m + 2*m**2)*(7 - 7 - 2*m)*(24 + 88 + 2) to the form u*m**2 + f + z*m**3 + t*m and give z.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 1\/6*p - 1\/2*p**2 + 1\/3 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*h*o**3 - 48*h*o**2 + 2*o**3 + 158 wrt h.\nAnswer: 16*o**3 - 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let b(f) = f**3 + 4*f**2 + f - 3. Let c be b(v). Suppose 0 = c*s + 9 - 102. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 - 484*u + 479. What is f(120)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3428*-4*(-17)\/(-8). Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuupvp. What is prob of sequence bup?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 9*p - 9. Let b be r(-7). Suppose b*j - 85 = -0*j. Suppose 26 = m - 23. What is the remainder when m is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -a + b, -2*b + 12 = -a - 14. Let z = 59 + -32. Let v = a + z. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17018.\nAnswer: 2, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -25 - 29*t + 65*t - 39*t + 10. Determine y(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 88 = -448. Suppose -4*v + w = -9*v. Let f = v - -68. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 43\/((-1505)\/270). Sort 12, h, 4\/7, 4 in decreasing order.\nAnswer: 12, 4, 4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169, 55, 377, 845, 1507, 2411, 3605?\n\"Answer: 8*s**3 + s**2 + 165*s - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 24*h - 50*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 48 = -4*c, -5*h - c = c - 60 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 - 6 = 0. Suppose w*q - 15 = 2*q. Suppose 2 - 17 = -q*t. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r + 8 = 5*t, 4*r = 3*t. Suppose r*y = y. Suppose -h + 3*h = y. Which is the smallest value? (a) -3 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/30*(-5)\/2. Calculate the highest common divisor of 16 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 4}. What is prob of picking 1 c and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 47 - 16 - 49 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 1\/6*c**3 + 0 + 0*c + 1\/24*c**4 - 1\/30*c**5 + 1\/120*c**6 + 29*c**2. Let i be a(2). Let o(v) = -v + 4. What is o(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012 - -2?\nAnswer: -21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*p + 6, -p = -2*d - 3*d - 2. Find the second derivative of 8*v**p + v**2 - 3*v + 0*v**2 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9438 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(3\/20)*m*((m*m\/(m**28\/m*m))\/m)\/m)\/(m**(2\/33))**(-40) assuming m is positive.\nAnswer: m**(-14801\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -5*t, -t + 4 = -2*t + 2*a. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6063 divided by -35.\nAnswer: -6063\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7200121 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + v - v)*(-945 + 535 + 410 - 191607*v) as q*v + h + d*v**3 + i*v**2 and give d.\nAnswer: 191607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1634\/745 - 1\/149. Let i(a) = -a**2 - 13*a - 15. Let n be i(-11). Suppose n = -5*g + 2. Which is greater: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -157 in 1\/3, -2, 14, -8.5?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32440, 64893, 97348, 129805?\nAnswer: 162264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 3613157610.\nAnswer: 3613157614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - l + 1. Let w be (-2 - 4\/(-4))*1. Let c be x(w). Determine a so that -1\/4*a**3 + 0*a**2 - 5\/4*a**4 - a**c + 0*a + 0 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - w**2)*(-4*w**3 - 29 + 29) + 2*w - 5*w**5 - 4*w + 4*w**5.\nAnswer: 3*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + 2012?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 315\/3659 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -5. List the prime factors of (-8)\/(-2)*((-140)\/(-16) + u).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(2\/87)*(t\/(t*t*t**(-1)))**13 assuming t is positive.\nAnswer: t**(4\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 5, 37538, 0, 1 in ascending order.\nAnswer: 0, 1, 5, 46, 37538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 110\/(-10) + 175 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -27*a + 240. What is the greatest common factor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2996448 and 17978688.\nAnswer: 17978688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 333*h**2\/2 - 112209*h\/4 + 109561.\nAnswer: -(h - 331)**2*(h - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*r + 28517, y + 6*r - 10*r - 28513 = 0. List the prime factors of y.\nAnswer: 3, 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/40 + 3*i**5\/20 - 3*i**4\/8 + i**3\/2 + 10*i**2. Factor m(s).\nAnswer: -3*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*u**3 - 863*u + 630*u - 3 + 11*u**2 + 640*u wrt u?\nAnswer: -36*u + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2605753 micrograms in tonnes?\nAnswer: 0.0000000000002605753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -90, -133, -176, -219?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (4 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/10 and 22240\/560*14\/120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 18*p + 208. Let v be o(8). Suppose -4*g = -4, v = -0*c + 3*c + 5*g - 33305. What is c rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*q - 35 = 504*q. What is the third biggest value in -1.1, 2.6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442516169?\nAnswer: 593, 746233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l - 4*l. Suppose l = -u - 2*u + 594. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 5*p - 3. Suppose u - 12 = -2*u. Suppose u*g - 30 = -4*x + 2, -x + g = -4. Does 28 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-5 + -1 + sqrt(2880) - sqrt(2880) - sqrt(2880) - sqrt(2880)) + sqrt(2880)) - 4*sqrt(2880)*-5*4)**2.\nAnswer: -108000*sqrt(5) + 16200900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 152587550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(475)*-2 + (sqrt(475) - (0 + sqrt(475) + 0)) + sqrt(475) + (-3 + (sqrt(475) - sqrt(475)*2) - sqrt(475) - sqrt(475)) + 2)**2 + -5.\nAnswer: 160*sqrt(19) + 7611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2)\/(-4)) - 2. Suppose -460 = -5*w - k*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 2b3a79a?\nAnswer: 2b3a7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603719192?\nAnswer: 2, 75464899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*n - 77*n - 32. Suppose 3*u + 5*h - 15 = 0, -4*h - 25 = -u - 4*u. Solve -4*o = 3*k - 28 + 10, -n*o - u*k + 22 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**4\/4 + 2*q**3\/3 + 3*q + 1. Let k(s) = 2*s**3 + 0*s**3 - 8 + 1 - 5*s**2 + 0*s**3. Determine -5*g(o) - 2*k(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d + 0*d)*(10804 - 1195 - 1330 - 3539)*(-5 - 3*d**2 + 5).\nAnswer: -14220*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 3 + 25*g**2 - 19*g**2. Let z(h) = 3*h. Give c(z(t)).\nAnswer: 81*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 49, 58, 69, 82, 97, 114?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c3 + -ca8?\nAnswer: -109b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -1, -23, 0, 5 in increasing order.\nAnswer: -23, -1, 0, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g + 51 = 0. Let a = -2008 + 2141. Calculate the remainder when a is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131335 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w - 5 - 875 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2) - -1)\/(13\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - s + 804*s**2 - 1560*s**2 - 2*s**4 + 2*s**3 + 835*s**2 + 0*s as c*s**4 + z*s + d*s**2 + b*s**3 + k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 34. Suppose -4*h = -3*v + 2, 2*v - 24*h - 3 = -23*h. Suppose 2*b + 4 = -v*b. Put i, b, -5 in descending order.\nAnswer: i, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52443?\nAnswer: 3, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19468 = 19447. Let w be (-198)\/(-14) - (-1)\/(-7). What is the greatest common divisor of y and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-3) + 7 - (-10)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -812 - -822. Let y(w) = 20*w**2 - 48*w + 15. What are the prime factors of y(s)?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q + 5. Let l be o(9). Let j = l - -99. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a622 (base 11) in base 15?\nAnswer: -49385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069894 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -5*r + 84, 5*r + 105 = -5*o. Let t = o + 24. Suppose 8 = 5*b - 12, 0 = -2*q + t*b + 38. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327 divided by 54494.\nAnswer: -327\/54494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/61 - 136\/427. What is the third smallest value in b, -3, -2\/5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 5. Let s(b) = -11*b - 19. Let a(f) = 9*r(f) - 2*s(f). Let v(c) = -14*c - 20. Let l(j) = -17*a(j) + 6*v(j). Give l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, x: 15}. Give prob of picking 1 t and 1 x.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*((-8)\/10 + -2). Suppose 3*x = 4*q, -n = -4*x + 4*q - 8*q. What is the units digit of x\/6*(-7 - -31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v - 7. Let q = 846 - 412. Let o = 446 - q. What is the lowest common multiple of w(-5) and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9975)\/(-20) - (-7)\/28. Let z = r + 115. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1911243 and 2085.\nAnswer: 1328313885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049085 to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5412 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p, h + 1523 = -2*p - p. Let s = h - -2157. Suppose -s = 8*l - 2133. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -6. Let j = o - 5. Find the second derivative of -j*u + 2*u**5 - 4*u**5 + 4*u wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (-4 + sqrt(468))*-4 + sqrt(468) + 2 + (sqrt(468) - (2 + sqrt(468)*-3))*-1)*4)**2.\nAnswer: -23040*sqrt(13) + 275968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238944860?\nAnswer: 2, 5, 7, 11, 17, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-74)\/(-1 + 0) - (2011 - 1997)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7283 and -0.3273?\nAnswer: 7282.6727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 15*k**2 - 83*k + 569. Calculate g(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10445902529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -3*n - 10*n. Let r(p) = 80*p**2 + p + 1. Suppose 2*l + 2 = -0. Let w be r(l). What is the highest common factor of w and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-156)\/91)\/((-10)\/105). Let l(p) = -p**2 + 15*p + 15. Give l(v).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m - 221. Let q be x(-19). Differentiate 102*g - 72 + 66*g - 21 - q*g wrt g.\nAnswer: 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 22, 1241, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times 82?\nAnswer: -2788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*h - t, -6*h - 536*t = -533*t - 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*u**3 - 34*u**3 + 168*u**3 + 33*u**3.\nAnswer: -534*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -182\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2)*(4*p - p + 7 - 5) to the form f*p + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 4*m**2 + 0*m**2 + (6539 - 411*m - 6539)*(-m - 4*m + 2*m).\nAnswer: 1230*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d**2 + 2*d - 1. Suppose 3*z - 5*f + 3 = -2*f, 2*z + 5*f - 19 = 0. Let k = z + -1. Let o be n(k). Calculate the greatest common factor of 28 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v\/(v**(-5)*v)*v*v\/v**(3\/4)*v**6)\/((v*(v*v*v**0*v*v)\/v)**(-14\/13)*(v*v**8\/v)\/(v*v**(-1\/4)\/v*v*v)) assuming v is positive.\nAnswer: v**(147\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 2. Let n be 10\/(-45) - 968\/18. Let v = n - -37. Let a = -13 - v. Determine t(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -967 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1563425 or -1\/4?\nAnswer: 1563425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -136d9 + 0?\nAnswer: -136d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206572334 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958 (base 10) to base 7.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1116 and 992?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230793 + 30856 = -7433*m + 79975 - 242007 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18727 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 - 901*g + 236. Determine r(29).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18668 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5*z + 2388*l**4*z**3 - 2*l**2*z**3 + 2*l**2*z + l*z**2 + 42*z**2 wrt l.\nAnswer: 60*l**2*z + 57312*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcqqq. Give prob of sequence ccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1936256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.9. Let w = 0.1 + r. What is the third biggest value in 0.04, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605))*6 + 0 + ((sqrt(10) - sqrt(10)*2)*6)\/(sqrt(14)\/(sqrt(28)\/sqrt(4))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26992.68t to grams.\nAnswer: 26992680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158121773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5335455 (base 7) to base 6\nAnswer: 21515100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 184. Let x be j(-20). Let s be (-3)\/((-6)\/(-4)) - 44. Let h be s\/69 + x\/(-6). Solve y + h*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -1120, -1624, -2058, -2398, -2620, -2700?\nAnswer: -2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 776 = o, o - 5*i + 0*i - 791 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -1196, -1793, -2410, -3053?\nAnswer: -3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1790, -1799, -1806, -1811, -1814, -1815?\n\"Answer: p**2 - 12*p - 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 289 = -267 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1194 = -5*i - 1084. Suppose 10*g - 5*t + 51 = 11*g, -t = -2*g + 47. Solve 8 = -i*x + g*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 + 3*k + 1. Let m be p(3). Let i = 7 - 5. Which is the smallest value? (a) -3\/2 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33878, 33838, 33798, 33758, 33718, 33678?\n\"Answer: -40*x + 33918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-5)\/6))\/(18\/(-45))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = w - 5. Let k be (w\/(-20))\/(1\/(-15)). Is 25 - (k\/(-3) + -2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 21. Suppose -15 = -12*t + q*t. List the prime factors of 8\/t*130\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = -2*n. Let u(k) = k**2 + 27*k - 8. Let j(r) = 2*r**2 + 23*r - 7. Let x(v) = 5*j(v) - 4*u(v). List the prime factors of x(n).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 * 1\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4215, -4208, -4199, -4188?\n\"Answer: p**2 + 4*p - 4220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905*t - 3*u = -1902*t - 18, -3*u = -2*t + 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -f - i, 3*f - 2*i - 26 = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqnhhzeehuh. What is prob of picking 1 u, 1 q, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16546 is divided by 1034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-394)\/(-6) - 6\/9. Let d = -18 + q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 26, 2\/11, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 1. Determine b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -231, -514, -909, -1416, -2035, -2766?\nAnswer: -3609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28749 is divided by 282.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0 - t**2 + 0*t**3 + 1\/24*t**4 + 0*t. Let o(a) = a. What is o(x(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b - 1 + 2*b**3 + 0*b + b**2 + b. Let l be d(1). Suppose x + 3*x = -16, l*x + 38 = 2*p. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50360519 and 2222.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106.8 - 107. What is the closest to 2 in -5, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/142 in 2\/3, 58, -6\/5, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 15*t + 92, 7*y - 13 = -t - 4*t - 11 + 35 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 - 4*x**3\/3 + 304*x**2. Let b = -15 + 8. Let k be (-7 - b)\/(0 + -3). What is j(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-2)*((-24)\/30 + 1). Suppose 1964006 = n*t - 2*o, -782920 = -t - 2*o + 199074. Round t to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*f + 114*f + 382*f)*(-18*f**2 - 4*f**3 + 18*f**2).\nAnswer: -1496*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/67500*-45*-2150.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1181 - -1183. Let p = 4.163 + 0.037. Which is the biggest value? (a) j (b) 0.3 (c) p (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/21*(16 - 1). Suppose 4*d + 0*d = h. Solve -4 = -2*p, 0*j - d*p = 2*j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 16. Let p = -3 + 33. What is the remainder when p is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -220, -889, -2002, -3559, -5560?\n\"Answer: -222*i**2 - 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -676, 8, -1263 in descending order.\nAnswer: 8, -676, -1263","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 111*b + 905. Determine o(-74).\nAnswer: -1833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1079*m**2 - 668*m - 4. Let t(v) = 6475*v**2 + 4016*v + 26. Let a(l) = -2*t(l) - 13*w(l). What is the second derivative of a(u) wrt u?\nAnswer: 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*c + 6*c = -76, 4*f + 4*c = 76. Let x be -1*(2 - -4) - 4. Calculate the remainder when x\/(1 - (-12)\/(-11)) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 times 0.15292?\nAnswer: 0.290548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1450 and 11\/1020.\nAnswer: 147900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 + -169. Let u(d) = d. Let x be u(-2). Which is the nearest to r? (a) -5 (b) x (c) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (7 - (9 + -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/7 - 17737598*s**2\/7 = 0. Calculate s.\nAnswer: 0, 8868799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -13*o + 35*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5779, -11303, -16827, -22351, -27875?\nAnswer: -33399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 0.011, -200\/17, -0.3?\nAnswer: -200\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -390201108*s**2 + 326741482*s + 1 wrt s?\nAnswer: -780402216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-33*28\/(-12). What is the greatest common divisor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*19*(-3)\/(-6). Suppose -2*q = -p + k, -q + 4*q = 5*p - 278. What is the greatest common divisor of 22 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 297\/23 - (-102)\/1173?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/5)\/(2\/(-10)). Suppose 2*m - 25 + w = 0. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*g**2*z**3 - 2*g*z**3 - 5*z**3 - 3 wrt g?\nAnswer: 84*g*z**3 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 96 - 112. Let h(k) = k - 5. Let n be h(0). Let f = -1 - n. What is the lowest common multiple of a and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805196373 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/428520 and -137\/749910?\nAnswer: 2999640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + (sqrt(252) - sqrt(252)*-2))\/((sqrt(64)*-1 - sqrt(64) - sqrt(64)) + sqrt(64)))**2*5.\nAnswer: 875\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 + -135. Is s at least as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10)\/(126\/(-420))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2152 + -2147. Suppose -3*v = 4*h - 13 + 1, -20 = -5*v - 5*h. Solve -m*c = 4*z - v, -c + 10*z = 5*z + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*g - 74, 0 = -5530*b + 5526*b + 3*g + 34 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1721 - 1726. Put y, 4, 6 in ascending order.\nAnswer: y, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1413 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**2\/5 - 1666*g\/5 - 2548\/5.\nAnswer: -2*(g + 91)*(9*g + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9635083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228*0.5.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41541188*u**3 + 40571061*u wrt u.\nAnswer: 249247128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1019*m - 6596*m - 1228*m - 4129*m)*(3*m - 3*m + 2*m).\nAnswer: -21868*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-6 - -7)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 6. Let p be 1 - 78 - (0 + -2). Let d = 70 + p. Calculate r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-2176)\/(-48))\/(3\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {d: 2, j: 1, i: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 70.336. What is r rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.1, 0.06, 19.9, -0.32, -11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4046 and 2431.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -1 - (1 - -50). Let m be 2\/(-6) - a\/3. Suppose -5*n - q - 10 = -33, q - 19 = -4*n. Solve n*d = -0*d - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 14*z**2 - 4*z - 15. Let p = 19 - 22. Let s(k) = -k**3 - 13*k**2 + 5*k + 15. Let l(f) = p*s(f) - 2*v(f). Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21\/20 + 271\/220. Is c at most as big as 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2541, -20, 4 in ascending order.\nAnswer: -2541, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 5)**2 + 0 + sqrt(2448).\nAnswer: 92*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2573.125 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2133 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195 + 8860?\nAnswer: 8665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 906\/5 + -182. Suppose -n - 91 = -r - 3*r, 4*r - 5*n = 103. Let h = r + -23. Which is the nearest to h? (a) -1\/7 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5773344 (base 8) in base 16?\nAnswer: 17f6e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = -9*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -3*t + j - 26, 4*j + 24 = -4*t. Let z = -0.07 - 0.23. Let y = 0 - z. Which is the second smallest value? (a) 3 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 57\/(-5) + 4\/10. Let a = h + 6. Sort 1, 0, a.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.3 + -32.9. Which is the third biggest value? (a) -3 (b) s (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -k - 4*h + 2, k - h = -3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 = -z, 2*z - 5*r = -9*r - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmsve. Give prob of sequence vsx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 3*f - 2. Let q be t(4). Let o(c) = c**q + 0*c**2 + c**2. Let w(l) be the first derivative of 2*l**3\/3 - 5. What is o(w(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10.4, 1\/10, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + a**2 + 3*a - 2. Let y(j) = -5*j**3 + 4*j**2 + 11*j - 7. Calculate 22*i(k) - 6*y(k).\nAnswer: 8*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 14405390.8650206?\nAnswer: 14405395.8650206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*m**3 - 3*m**2 - 172*m wrt m?\nAnswer: 216*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3520 - 3522. Sort i, 4, -51 in increasing order.\nAnswer: -51, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/58, -524?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4354228 divided by -34.\nAnswer: -2177114\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -0.863 in descending order.\nAnswer: 7, 3, -0.863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 5*k**2 - 2*k - 2. Let n be o(-5). What is the units digit of (14\/(-4))\/((-2)\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 4. Let v be l(6). Solve 3*b - m = -6, 0 = 4*b - v*b + 2*m + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1275*a - 17854. Give l(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185.9999534 - -186. Round m to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(11) - (3*sqrt(22))\/sqrt(2))) - (-2*sqrt(77)*-4)\/(sqrt(7) + sqrt(7)*1*2).\nAnswer: 10*sqrt(11)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*w - 24, -w + 4 = 2*x - 6. Suppose -b + 4*g = -1, 16 + 1 = 3*b + w*g. Solve 5*t + b*p - 15 = 0, 3*t + 3*p - 11 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - u = -2*u - u - 3*x + 29, 0 = 5*u - 4*x - 44 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181002 divided by 933.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 5*c. Suppose c = 2*r + 201 - 67. What are the prime factors of (-3)\/9 + r\/(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/63 and -83\/6683586.\nAnswer: 20050758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5984492, 5984490, 5984488?\n\"Answer: -2*s + 5984494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1889*b**3 + 7198 with respect to b.\nAnswer: -5667*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2\/13, 62.\nAnswer: -13, -2\/13, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**3 - l**2 - 2*l + 4. Let r(t) = -5*t**3 + 3*t - 4. Let j(p) = -5*r(p) - 6*x(p). Let k be j(-6). Does 14 divide k\/(-5)*(-3 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 6. Let h be f(5). Let u(d) = -4*d**3 + 6*d**3 - 3*d**3 + d**2. Let l(a) = -5*a**3 + 5*a**2 + 1. What is h*l(i) + 4*u(i)?\nAnswer: i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 - 17. Let s(v) be the third derivative of v**5\/20 + v**3 + 59*v**2 - 1. Calculate -6*k(u) - 17*s(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.1166567?\nAnswer: -3.8833433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6858306 divided by -18.\nAnswer: -381017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 7 (b) 1\/2 (c) 1.116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 18. Let c(t) = 4*t + 2. Let x(f) = -f - 1. Let o(i) = c(i) + 3*x(i). Determine o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 + 107. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 24 = 5*q, 0 = 2*q + 1 + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q**3 - 2*q**3 + 1 - 3*q**2 + 0*q**2 + 2*q**2. Let c be x(1). Suppose -c = -2*r + 5. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -39*x + 37*x + s, 0 = -5*x + s + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 19*f + 162. Calculate h(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2 = -5*y - w, 4*y - 14 = 3*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 66 = -17*x + 93. Calculate the lowest common multiple of x and 4\/(-10) - (-77)\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -4*q - i, q = 2*q - 3*i + 36. Let n = q - -133. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -19*m - 6*m + 391 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11277, -23622, -35969, -48318, -60669, -73022, -85377?\n\"Answer: -h**2 - 12342*h + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 5043.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1422*-56755.\nAnswer: -80705610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.320902872 to three dps.\nAnswer: 19.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 6*t**4\/7 + 6890*t**3\/7 + 267406*t**2 - 61751938*t\/7 = 0?\nAnswer: -589, 0, 89\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 5. Let z(k) = 3. Let o(b) = -2. Let p(w) = 5*o(w) + 3*z(w). What is -5*p(m) + t(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -36*k**3 + k**2 - 15*k + 15. Give g(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(5616))\/sqrt(3).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 10*a**2 + 4\/15*a**5 + 0*a + 19\/6*a**3 + 19\/24*a**4 - 1\/120*a**6 + 0. Is n(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.486 - 0.004. Round a to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5*t - 4. Let g be k(-6). Solve h - 15 = g*n, -h - 15 = -3*h + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 33 = -2*i + 4, 0 = i - 3*q - 20. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17077480*n**4 + 16*n**3 + n**2 - 703281*n + 9 wrt n?\nAnswer: 409859520*n + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 22 = -83 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m + 5*f - 7, -10 = -m - 4*f. Suppose 4*w + m*o - 4902 = 0, -2*w + 4*o + 2457 = 3*o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1495490 - -2?\nAnswer: -149548d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4112 = -3*p + 1310, 3*p + 5*h = 5414. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0708014031 to 5 dps.\nAnswer: 0.0708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from igvgvigvieiviggvv.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, m: 4, b: 5, e: 2}. Give prob of picking 1 b and 1 y.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243)*-2 + sqrt(243))**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10607 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (11 - 7)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486818.\nAnswer: 2, 19, 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*n**3 + 481*n**3 + 638*n**3.\nAnswer: 732*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 107436?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h + 8 + 40. Let p be 22 + (h - -6) - -1. Solve -j = 4*j - p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*m*y**3 - 755*m*y + 2*m + 116*y**2 wrt y.\nAnswer: 96*m*y + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.102 - 0.102. Which is the second biggest value? (a) 7 (b) m (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1110870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 537992004 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:19 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3439.6 - 3440. Sort -4\/3, 4, t, -0.1, -351.\nAnswer: -351, -4\/3, t, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46223 + 18331 = 1537*l for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 120*z**2 - 3076*z - 5640.\nAnswer: 4*(z - 47)*(z + 2)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 6*j + 104. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -113. Suppose -y = -6 + o. Let j = y + 66. What is the greatest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/21138 and 79\/72.\nAnswer: 253656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2959290375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/22 - (-2 + 27824\/88). Let z = h + 491. What are the prime factors of z?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtj. What is prob of picking 2 t and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2215212 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/4240 and 5\/52152.\nAnswer: 521520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15589824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51249.\nAnswer: 3, 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, 1 c, and 1 m when four letters picked without replacement from cxcxcccwamcsac?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and (12\/80)\/(2\/24).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p + 10. Let z = 29 - 20. Suppose -26 = z*s - 11*s. Calculate the remainder when s is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 198 = 5*s. What is the lowest common multiple of 84 and s?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*g - 15, -5*g + 4*g + 3 = q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 94, 143, 196?\n\"Answer: 2*v**2 + 39*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7430*x - 6 = 5*u + 7441*x, -3 = 2*u + 5*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 5*r - 198. Determine j(-15).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (-10 - -14) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5697 = -368*v - 432 + 3199 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 9*m**2 - 9*m**2 + (2*m - 4 + 4)*(0 + 0 + 2*m**2) - 4*m**3 - 3*m + 3*m - 5*m**3 + m**3 + 2*m**3 + (2*m + 3*m - 6*m)*(3*m**2 - 4*m**2 + 3*m**2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/3 + 2\/3*y - 2\/3*y**3 + 44\/3*y**2.\nAnswer: -2*(y - 22)*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1 - (-20)\/(-19)). Let l = q - 2. What is the greatest common factor of l and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/1004 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/70 + (-3036)\/(-165) + -18.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1334 and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((6*(sqrt(77) - (1*sqrt(77) - sqrt(77))) + -1*sqrt(77)*-2)\/((sqrt(33) - sqrt(33)*3)\/sqrt(3) - (sqrt(11)*3 - sqrt(11))*-2) + -4))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 + 170. Which is the closest to 0.1? (a) r (b) -2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6547816312 to the nearest integer?\nAnswer: 80919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*a = 77, -34*a = -7860*z + 7854*z - 1174 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 15*z + 520. Calculate a(18).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/2*(-4)\/(-6). Suppose 0*l - l = v*t + 13, -2*l + 49 = -5*t. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43981 is divided by 758.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -11. Let s = 13 - 12.7. What is the third biggest value in s, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: d32b (base 15) to base 2\nAnswer: 1010111000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*w + 4*w. Suppose 0*p - 3*p + 2*d + 8 = 0, -3*d = p - w. Let i(t) = 17*t - 1. Is i(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 27. Let m(p) = 4*p + 53. Let c(k) = -3*m(k) + 5*o(k). Let s be c(-13). Sort -6, s, 0.\nAnswer: -6, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*x**3 - 4*m**3*x**2 + 2*m**2*x**4 - 2*m**2*x - 34*x**4 + 3*x**2 wrt x.\nAnswer: -6*m**3 + 48*m**2*x - 816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.1 - 28.1. Sort a, -2, 1\/6, 1.\nAnswer: -2, 1\/6, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f**3 + 8*f**2 - 4*f. Let p(h) = -13*h**3 - 6*h**2 + 6*h. What is -3*l(n) - 4*p(n)?\nAnswer: 13*n**3 - 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r**2 + 0*r)*(0 + r + 0) - r**3 - r**3 - 2*r**3 as x*r**3 + v + b*r + l*r**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/12 + s**2\/2 - 118*s - 4. Let q(x) = -4 + 5*x**2 + 0*x + 0*x - x**3. What is -4*a(n) - q(n)?\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*b + 12 = 0, 0 = u + 5*b + 2 + 13. Let r(q) = 3*q - 1. Let g be r(1). Sort u, -1, g in decreasing order.\nAnswer: g, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 + 4*w - 2. Let q(k) = -26*k**2 + 21*k - 10. Let z(d) = -11*c(d) + 2*q(d). Let g(u) = -4*u**2 + 3*u - 3. Calculate 2*g(b) + 3*z(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -c - g + 24, 4*g + 270 = 3*c. Let k = 71 + -73. What is the remainder when c is divided by (k\/7)\/(11\/(-847))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 + (36 - 131) + 136\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*z - 212*i**2 - 5*i*z - 18019*z with respect to i.\nAnswer: 6*i**2*z - 424*i - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*y - 1398 = -416*y + 846. Calculate the greatest common factor of y and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1889? (a) 0 (b) -5 (c) -0.2 (d) -11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1740592 and 14.\nAnswer: 1740592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 9 - 5*o + 3*o)*(-3 + 6 + 1) - 20*o + 18*o - 5 + 26.\nAnswer: -18*o + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:01 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 4 (d) -4 (e) -14.38 (f) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-35)*g))**27\/(g**(1\/7)\/g**36))**(-13) assuming g is positive.\nAnswer: g**(-89258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2054 + 986. Calculate the greatest common factor of 480 and b.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = 0. Suppose 3*h - t + 3*t - 18 = j, 4*h = -5*t + 17. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 2586 (b) 0.7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704044534 + 0.\nAnswer: 704044534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 6*y - 1. Let i be t(-5). Suppose -i*z - 4*u + 36 = 0, z - u = -z + 15. Calculate the smallest common multiple of 4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2085028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3653 + 4*r**3 - 3653.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b**2 - 2 - 2 + 4 in the form d*b + o*b**2 + k and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from qqllqqlqqqlllqqqqql.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 4)\/(26\/4). Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**3 + 15*h**3 + 4*h**3 - 19*h**3.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 0.5 (c) 1\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4\/5 (c) 5\/3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -39. Suppose -a = 3*a - 36. Solve t - 5*y = a, -2*t + d = 2*t - 5*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)*r\/r**10*(r\/((r*r**(2\/9))\/r*r*r))**(-2\/3))**(2\/3))**46 assuming r is positive.\nAnswer: r**(-21160\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(832))*3.\nAnswer: -24*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*u = -0*u - 105, 3*g + u - 62 = 0. Suppose g*i - 135 = 4*i. What is the remainder when 61 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/957 and -25\/381.\nAnswer: 121539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.95 + 0.15. Let o = h - 1.11. Let x = 1 + 0. Does x = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {z: 1, r: 4, h: 2, k: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(100\/30)*(4 - -2) + (-16 - 26)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/4)*b)**(-34)\/(b**7\/(b\/((b*b**(2\/5)*b)\/b)*b)))**12)**(-2\/35) assuming b is positive.\nAnswer: b**(7908\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -80*h**2. Let u be b(-1). Let o be u\/(-175) - (-2)\/14. Put -1\/2, -3\/2, o in increasing order.\nAnswer: -3\/2, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5\/2 (b) -4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 4, 5 in descending order.\nAnswer: 5, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(98).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 102 = 333. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71504.48ml in litres?\nAnswer: 71.50448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 1. Which is greater: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-76)*840\/210*4?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242222080 + 3*g - 121111038 - 121111042.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -307*k**3 + 2*k - 147?\nAnswer: -921*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48704082 - 3?\nAnswer: -48704085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 27*g. Let f(r) = -r**2 + 14*r. Let x(b) = 4*a(b) - 9*f(b). Let m(o) be the second derivative of 0 + 0*o**2 - 5*o - 1\/6*o**3. Give x(m(i)).\nAnswer: i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/898 + 33247\/18858. Let m = -10\/7 + r. What is the closest to -1\/3 in -1\/7, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 10. Let h = q - -10.8. What is the nearest to 2 in -0.4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 2.6. Let d = -0.7 - -0.4. What is the second biggest value in -4, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:53 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 20 - 2. Suppose -h*u = -141 - 249. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4625024\/5 at least as big as -925005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*z = -0*z + 888, 2*l - 2*z = 448. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 2*j)*(-2*j**3 + 4*j**2 - 4*j**2) - 154*j**4 + 381*j**2 - 381*j**2.\nAnswer: -152*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 474364979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860, 3488, 7868, 14000, 21884, 31520?\nAnswer: 42908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*z + 71*z + 75*z + 74*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5*u + 1. Let p be k(4). Suppose -3*g = -p - 10. Suppose -b + 11 = i, -b + g + 9 = 4*i. What is the least common multiple of 2 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/(-180)*((-12)\/(-28) + -1). Which is the third biggest value? (a) x (b) 0.08 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 855274.780343 - 855276. Let v = k - -1.219. Round v to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 400132404334 + -10?\nAnswer: 400132404324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let j = -18 + 29. Let n = j + -8. Let b(d) = 14*d - n*d - 9*d - 5*d. Determine q(b(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 13*u + 132. Let p be h(-10). Solve -2*d + 2*d = p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3027759*d**3*r**2 + 3*d**3*r - 3210*d**2*r + 58*r wrt r?\nAnswer: -6055518*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 152*q**2 - 1101*q - 9. Let d be t(7). Solve d*k + 176 = -424 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -4 (b) -0.051 (c) -5 (d) 2\/3 (e) -27 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-79)\/2)\/(2*12\/48). Let l = o + 78. Which is bigger: 3\/26 or l?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 + -3 + (-4)\/(-2). Let n = -19 + a. Let c be (-48)\/18*n\/4. Sort c, -3, -4 in decreasing order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 + 342. Suppose -5*j + 2 = 2*s, 0 = 3*j - 3*s + 1 + 2. Let v be (j - -1)\/(((-21)\/z)\/(-7)). Calculate the greatest common factor of 100 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43068 and 2?\nAnswer: 43068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -w + 116, 2*w = 5*w + 3*m - 393. Let a = w + -53. Suppose -50*d = -1071 - 1029. What is the remainder when a is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - u + 82. Let q be l(9). Suppose 0 = -5*s + 10, -3*t - 2*s = -0*t - 25. What is the biggest value in 4, t, -5, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -129, -284, -501, -780, -1121?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1720 and -0.097.\nAnswer: -166.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 5*x = 0, -3*m + 3*x = 0. Let g be (-2)\/2 - (3 - m). Let t = -463 + 461. Which is the closest to 2\/3? (a) t (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -29*c. Let k(r) = -1 + 1 - 67*r + 9*r. Let y(b) = -3*k(b) + 5*w(b). Is y(3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc9d - 4?\nAnswer: dc99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 6*v + 23 = 4*v, 9 = r - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.2 + 16. Let l = w - 0.8. Let s = 14\/5 + -12\/5. Which is the third smallest value? (a) l (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6.999682?\nAnswer: 6.999682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d - 15 = -57*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 132022.5 hours?\nAnswer: 7921350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 6*m + 5941. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 49\/76?\nAnswer: 49\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 461*m**6\/3 - 5*m**3\/3 - m**2\/2 - 378. Find the third derivative of u(a) wrt a.\nAnswer: 55320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 151, -5, 9, -28 in decreasing order.\nAnswer: 151, 9, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:07 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2055 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159278 and 12152.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 188 = -3*b, 2*b = -0*b - k + 130. Let i be 8\/b*4*22. Let o(m) = 2*m**2 + 15*m. Let g be o(-11). What is the highest common divisor of g and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 16. Let g be y(13). Let z = 21 - g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -202, -413, -624, -835, -1046?\n\"Answer: -211*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 103*l**3 - 17*l**2 - 114. Let y(t) = 17*t**3 - 3*t**2 - 19. Let r(b) = -6*n(b) + 34*y(b). Find the first derivative of r(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + 31*n + 109. Give q(-5).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*l + 26 = 198*l + 4*w, -3*l - w = 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 39*o. Let m(w) be the first derivative of w**2\/2 + 131. Give p(m(r)).\nAnswer: 3*r**2 - 39*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 363799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2735864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(8 - 3 + 3) + 70 - 40 - 39 + 2 + 4 - 2)*(-2*i**2 + i**2 - i**2).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98570.23 kilometers to millimeters.\nAnswer: 98570230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.33046l?\nAnswer: 4330.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/70)\/(28\/(-35))*-6. Let r be 8 + -7 - (1 - (-16)\/(-36)). Which is the second biggest value? (a) 3 (b) r (c) 2\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let f(z) be the third derivative of -11*z**7\/2520 - 59*z**4\/24 - 106*z**2. Let h(m) be the second derivative of f(m). Calculate h(l(s)).\nAnswer: -99*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 2*v**2 - 5*v + 5. Let k = -112 - -117. Let n be ((-20)\/k - -2) + -2. Let y(f) = -f**2 - 2*f + 2. What is n*s(z) + 10*y(z)?\nAnswer: -4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -0.17 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let g(a) = -a**2 + a. Let h(k) = 12*k**2 - 5*k. Let s(l) = 5*g(l) + h(l). Calculate u(s(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x - 1. Let b(r) = -5*r. Let t be (-7)\/4 - 5\/100*5. Calculate t*y(c) - b(c).\nAnswer: -2*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -1\/5, 2, -50.\nAnswer: -50, -1\/5, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((16\/(-4))\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 4, 2, 3 in ascending order.\nAnswer: -99, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467*r**5 - 2*r**2 - 1051*r wrt r.\nAnswer: -9340*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 35213184*l. Let t(u) = -4*u**2. Calculate d(t(p)).\nAnswer: -140852736*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 3)*(4*q + 26 - 25 - 6*q) + 0*q + 2*q - q + (-2 + 3 - 3)*(0*q - 4*q + 5*q) as h*q + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = x + j, 11*x - 12*x - 2*j + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 3, o: 6, k: 1, z: 4, c: 2}. Give prob of sequence okz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-8) - (-484)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 445? (a) 2 (b) 0.2 (c) 0.04 (d) 8 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*v = 9, -3*o + 2*o = -4*v + 2. Find z such that -243\/2*z**o - 6 - 54*z = 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -556\/461 - -335597\/225890. Calculate the common denominator of h and 115\/14.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3) - 4\/6. Let n = 1321 - 904. Let u = -417 + n. Solve k*i + 0 + 2 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2\/2 + 1611609*b\/2 - 9669870 = 0.\nAnswer: -537215, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 + -62. Let h = a + -48. Let t = h - 74.00000069. What is t rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22930768 is divided by 1670?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -1.72933.\nAnswer: -1.72933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - (-6)\/8. Let x(p) = -42*p**2 - 1. Let n be x(t). Let a = 64 + n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b + 11. Suppose -w = 5 - 23. What is the remainder when y(6) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 + 2*z**2 - 1. What is i(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 6*u**2 + 3*u + 9. Let m(v) = v**2 - v - 52. Let t be m(0). Let l = 456 - 447. Let g be t\/l + (-20)\/90. What is n(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1027 and 137065.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 97. Let q = y + 75. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*a**2 - 225*a**2 + 87*a**2 + 75*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77758*t**4 - 230082?\nAnswer: -311032*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1000 - a4?\nAnswer: e4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 15 = 0, 0*r + 3*r = 3*w - 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10416.6 + -10417. Which is the third biggest value? (a) -5 (b) i (c) -4 (d) 4\/159 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.39 rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359015305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (207*(-7)\/(-1323))\/((-281)\/(-1967))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 387 - 773\/2. Let p = 1.34 - 0.34. Let i = 2 - 3. Which is the second smallest value? (a) 0.4 (b) j (c) i (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 2 = 0. Suppose -5*z - 1 = -q*z - 5*b, -2*z + 1 = -5*b. Which is greater: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3104 is divided by 1217?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 61*f**2 - 121*f + 183. Determine z(59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*p = -2068, 4*p + 1728 = 4*t - 2*p. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 15. Suppose 0*g - 4*g + 24 = 0. Let y(k) = -2*k - 7. Let t(b) = g*q(b) + 13*y(b). Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y - 30 = 0. Let j be ((-4)\/y)\/(1\/(-5)). Let l(m) = m - 1. Let w(u) = 10*u - 6. Let x(i) = 5*l(i) - w(i). Calculate x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (2 + 43)) + (1 - 63) + -8.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9373576 minutes to seconds.\nAnswer: 56.241456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 48*d - 45*d = 288 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 6*q + 35. Let l(b) = 5 - q + 2 - 3*b**2. Let u(x) = -x + 3. Let y(m) = 3*m - 8. Let w(s) = 8*u(s) + 3*y(s). Calculate l(w(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, 5, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2, -118 + 222 = 2*z - 2*a + 116 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sussssuussssss?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1644*u**2 - 6*u - 125*u**2 + 0*u + 4*u - 2 + (u**2 + 5*u**2 - 5*u**2)*(1 + 0 - 2) as z*u**2 + o*u + r and give z.\nAnswer: 1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9891*w**4 - 52*w**2 + 7*w + 277. Let f(o) = o**4 - 26*o**2 - 1. Let s(q) = -2*f(q) + y(q). What is the second derivative of s(j) wrt j?\nAnswer: 118668*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + 5 + 1.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (10 + (8 - 14)) - (-2 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -6 in decreasing order.\nAnswer: 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -690, -1456, -2538, -3942?\nAnswer: -5674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125908 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 8346?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 5*b. Let y be q(-2). Suppose -4*d + k + 24 = 0, k + y = -2*d - 3*k. Solve 0 = -l + d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955268770?\nAnswer: 2, 5, 7, 13, 17, 97, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17729567.\nAnswer: 17729567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115824 and -65.\nAnswer: -7528560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -12.5.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*q - 5 + 1)*(-7*q**3 + 6*q**3 + 9*q**3)*(2*q + q - q).\nAnswer: -48*q**5 - 32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.00071 + 36. Round w to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0, -2, 9, -14 in descending order.\nAnswer: 9, 2\/3, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-232)\/6*6\/4. Let t = v - -60. What are the prime factors of -186*t*(-1)\/((-12)\/(-2))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(23\/(-7) + 3). Suppose 3*d = -0*k + k + 2, i*d = 4*k - 12. Solve -r = -d*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -153 (b) 43 (c) -134 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556873 and 1869.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -1 (c) 2 (d) 0.02 (e) 0.311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5624.9l to millilitres.\nAnswer: 5624900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Let s(g) = -4*g + 12. Let m(j) = -3*j + 11. Let c(p) = 5*m(p) - 4*s(p). Let a(u) = c(u) - 2*y(u). Let h be a(0). Solve o - h*o = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/3)*r)*r)**(3\/14)\/(r*r\/(r*r**(-1))*r**(1\/6)))**(1\/2) assuming r is positive.\nAnswer: r**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzdd when four letters picked without replacement from {y: 3, z: 8, i: 2, d: 2}.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173837855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16016 at most as big as -16016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 46928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*g + 2*o - 2, -5*g + 4*o - 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1909*s**3 - 12*s**2 - 39*s - 4. Let o(i) = -3813*i**3 - 24*i**2 - 79*i - 9. Let m(n) = 9*a(n) - 4*o(n). Find the third derivative of m(x) wrt x.\nAnswer: -11574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16641343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6859, 27478, 61855, 109996, 171907, 247594, 337063, 440320?\nAnswer: 557371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((1590\/30)\/795)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 27359012 to the nearest ten thousand.\nAnswer: 27360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45025)\/(-108060) + 0*(-1 - 3*(-2)\/4). Solve 1\/4*l - 1\/12*l**4 + i*l**2 + 0 + 1\/12*l**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, d: 3, x: 2, y: 3, p: 1}. What is prob of picking 1 w and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1920.69+0.08\nAnswer: -1920.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**12*m\/(m*m*m**4)*m**(-5)*m*m*m**(-9) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 62030.522 to the nearest 10.\nAnswer: 62030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0.04, -3, 3\/10.\nAnswer: -4, -3, -2, 0.04, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46420 and 21100?\nAnswer: 232100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/13 + (-76)\/13. Let m(t) = -t**2 - 6*t + 9. Calculate the smallest common multiple of m(-6) and ((-44)\/(-6))\/(r\/(-9)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/3 + 100*l**2\/3 - 572*l\/3 - 676\/3.\nAnswer: -4*(l - 13)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*w**3 + 2*g**2 - g*w**2 - 3*g*w + 250*w**4 wrt w?\nAnswer: 6*g**2 + 6000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 6 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87404, -174807, -262210, -349613, -437016, -524419?\n\"Answer: -87403*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 12 (b) 0 (c) 6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -9*d**5\/5 - d**4\/4 - d**3\/3 - 3*d. List the prime factors of b(-2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/558 and 19\/10848264?\nAnswer: 32544792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 48 = f. Suppose v + 3*v = f. Solve 0*j - 2*j + v*x + 19 = 0, -9 = 3*j + 3*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52 + 3*2\/6 + -4. Let z = -46 + x. Solve 0 = -z*b + 8*b - 5, 2*w = -2*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-42)*3*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 135945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (729*b - 1292 + 1292 + 24*b)*(14 + 16 - 24).\nAnswer: 4518*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/4 - i**3\/3 + i**2\/2 - 5. Let k(g) = g**2. Let p(f) = -a(f) - 3*k(f). Let p(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1415 - -1419. Solve 2*d - r = 13*z - 9*z, 2*d + 10 = -3*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*w**3 + 83*d**2*w**2 + 5*d**2*w - 11*d**2 - d*w**3 + 10835*d - 17*w**2 wrt d.\nAnswer: 6*w**3 + 166*w**2 + 10*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by 2.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -579 by -193.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*d**5 + 14*d**2 - 4*d**4 - 3*d**4 - d - d**3 + 3*d**3 + 19*d**5 - 7.\nAnswer: -(d - 1)**2*(d + 1)**2*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 26 = 2*k, -3*k - 7 + 46 = 4*b. What is the remainder when k is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26749.\nAnswer: 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - 35?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 - 3*t + 518. Let w(h) = h**3 + h**2 + 2*h - 516. Let l(n) = -3*o(n) - 4*w(n). What are the prime factors of l(0)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791967510 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 - 1 = 0. Is 118\/x*12\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1953559142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 133, 134, 135, 136, 137?\n\"Answer: f + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18814 is divided by 712?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyb when three letters picked without replacement from ixxyhbxx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let l(z) = -54139717*z**2. Determine l(f(a)).\nAnswer: -54139717*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 3*f**2 - 2*f - 2. Suppose 34 - 13 = 3*o. Let x(c) = 5*c + 2*c + 0*c**3 - 10*c**2 + 6*c**3 + 7. Determine o*p(w) + 2*x(w).\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6207 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 less than -6851247044.29?\nAnswer: -6851246850.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((9 - 4) + -3) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 549577581291?\nAnswer: -549577581286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + -3143?\nAnswer: -3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32346647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -77*b**2 - 22*b. Let m(a) = 17*a**2 + 5*a. Determine 5*f(s) + 22*m(s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 426*j**2. Let h be u(1). Suppose -t = t - h. Suppose -t = -g + 2*k, -g - 6*k + 4*k + 229 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410*i**2 - 4*i - 26*i - 19*i**2 - 52*i - 61*i wrt i.\nAnswer: 782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/417 and 7\/33.\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -27 (b) -2 (c) 9\/8 (d) 0.08 (e) 0.4 (f) 58 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 5. Let r = -3 - y. What is the highest common factor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 433\/5, -3, 4, -37 in increasing order.\nAnswer: -37, -3, -0.4, 4, 433\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2665 + -1895. Suppose 0 = -6*s + s + q. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2072 and 234549623.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1649 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 7. Let p(v) = -9*v - 6246. Calculate -4*l(h) + 2*p(h).\nAnswer: 2*h - 12464","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g - 56. Let z(n) = 5*n + 19. Let r(i) = 10*i + 673. Let a be r(-69). Calculate a*z(p) - 6*u(p).\nAnswer: -p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/((240\/(-18))\/(-10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1140932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -z - 2*x - 24, 4*z = 4*x + 4. Let c(w) = 4*w**2 + 6*w - 26. Let u be c(z). What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*q**3 + 3\/2*q**2 - 7\/4*q.\nAnswer: q*(q - 1)*(q + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2711286970 rounded to the nearest 100000?\nAnswer: -2711300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and -696.\nAnswer: -696.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22879 divided by 137.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/11844558 and 52\/897315.\nAnswer: 59222790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*y + 452*y + 987*y - 1056*y + 338*y.\nAnswer: 949*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35977\/3190 - -7\/319. Suppose -4*o = 5*x + 868, 3*x - o + 29 + 485 = 0. Let c = 385\/2 + x. What is the common denominator of c and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 19 - 81 - 7) + 9 + (7 - 7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.06903 nanometers to meters.\nAnswer: 0.00000001306903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.0268 millennia in centuries?\nAnswer: 5980.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8770 or 0?\nAnswer: 1\/8770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 - 5 = -3*u, -2*d + u = -7. Suppose 0 = -2*c + 2, m = -2*m - d*c + 162. Let a = 102 - m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k - 5*r + 5, 4*k + 5*r = 9. Let d = -164 + 165. Sort k, -1\/2, d in ascending order.\nAnswer: k, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -6. Let r = -832.5 + 836.5. What is the smallest value in l, -1\/17, r, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716119416.\nAnswer: 2, 11, 71, 274667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1152?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwjjwpjppppj. Give prob of picking 1 w, 1 j, and 1 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*y + 3 + 7 = -2*t, 4*t - 2*t = -2*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 + 1 + (-2 + 4 + 0)*(2 - 3 - 1))*(-3*b**4 - b**4 + b**4) as y + v*b + f*b**3 + c*b**4 + a*b**2 and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*m**4 + 2 + m**2 + m**2 - 2*m**2 wrt m?\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:01 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Let n(p) = 91*p. Let w(o) = -274*o. Let t(h) = 8*n(h) + 3*w(h). Determine g(t(a)).\nAnswer: -8836*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 919 + -858. Calculate the greatest common divisor of x and 488.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z, -4*z = q - 23 - 2. Suppose 4 = q*n - 6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {y: 1, f: 1, l: 1, x: 1, b: 2, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/5)\/i*i*i*i**(-7) assuming i is positive.\nAnswer: i**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**3 + 6*w**2 + 6*w - 6. Let n(s) = -s**3 - s**2 - s + 1. Calculate -3*g(v) - 18*n(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -42905376 greater than or equal to -42905374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8479*h - 13528. What is the ten thousands digit of y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -272, 9, 5, -5, -2, 1 in increasing order.\nAnswer: -272, -5, -2, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 294222 = 392647. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55185881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 28 = -52. Suppose -2*k + k = l. Let x = k + 59. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 1. Let z(v) = 5*v - 2. Let c(w) = 2*r(w) + z(w). Let q(j) = -3*j - 6. What is q(c(m))?\nAnswer: -9*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/60 + t**4\/6 + t**3\/2 - 3*t. Let u(r) be the second derivative of j(r). Suppose 8 + 7 = 3*c. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -4*u, -4*u + 4*p + 8 = -0*p. Is (u - (13 - 8))*337\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3196741541\/484590 - 3710\/16153. Let b = y - 6602. Calculate the common denominator of b and -68\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3869 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5156.546 milligrams?\nAnswer: 5.156546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s = 30*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-1 + (-33)\/(-12))\/(1\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86.5 - -86. What is the closest to -1\/2 in 3, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2397, 2394, 2391, 2388, 2385, 2382?\n\"Answer: -3*k + 2400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -12*b - 79. Let w be d(-7). Solve 4*o - 3*q = 1 + 5, o - w*q = 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79813060 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-3) + 2\/3. Suppose r*y + 4*m = 28, 3*m = -y + 5*y - 35. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1\/15)*d)**(-4\/9)*(d*d**(-3\/4))\/d**25 assuming d is positive.\nAnswer: d**(-14069\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-6)\/((-480)\/100).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 - 5*r + 1. Let s(h) = -4*h**2 - 4*h + 1. Let u(k) = -2*a(k) + 3*s(k). Give u(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 99 = 4*k. Let x(h) = -h**3 - 96*h**2 - 100*h - 453. Let b be x(-95). Let l be 1\/(-5) - b\/k*1. What is the second smallest value in -1, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -33, 3\/10, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504 + 2*y - 504.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 20*q**2 - 22*q + 21. Let v be h(21). Suppose -20*p + 21*p - 4 = v. Let l be (-20)\/(-6)*21\/14. Solve 4*t = 2*k - l + 3, 0 = -p*k - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twy when three letters picked without replacement from {j: 5, t: 2, y: 6, x: 1, w: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 5*n**2 - n + 106. What is y(0)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 42*r + 25. Suppose 23*c = 16*c + 315. What is the remainder when u(-48) is divided by c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72393 - 6?\nAnswer: 72388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 x when four letters picked without replacement from {o: 3, h: 1, j: 1, x: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1758205189109 + m**2 - 1758205189109.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3014*o - 1734*o + 49776 + 10384 = 0 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035836 a multiple of 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 3*g - 3. Suppose 0 = -4*k - 31 - 9. Let n(d) = -4*d**2 + 5*d + 5. Let w(v) = k*u(v) - 6*n(v). Let h(p) = 3*p + 2*p - 6*p. Determine w(h(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*j - 6085 = 7494 + 3896 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 647536 divided by -4\nAnswer: -161884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.485 - -0.985. What is the smallest value in n, -15, 0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16816.77777532 plus -3.8?\nAnswer: -16820.57777532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 3820. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6539 and -1303?\nAnswer: -8520317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-4))\/(-1) + 0. Let j be 38\/12 + (-1)\/x. Suppose -n - 12 = -j*n. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -5 (c) -4\/11 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 5 (c) -1\/2401 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041005914 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6)*((-13)\/90 + 8\/18). Factor 6\/5 - 8\/5*n + w*n**2.\nAnswer: 2*(n - 3)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 2. Let r(p) = 2*p - 3. Let u be r(6). Let l be (3\/u)\/(1\/(-33)). Let h(m) = -8*m + 6. Give l*z(s) + 4*h(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -2*d + 3, -4*d + 9 = 3*n. Let s(t) be the third derivative of 0*t**3 + 0*t**4 + 1\/60*t**5 + 0 + d*t - 2*t**2. Let k(u) = 4*u. What is s(k(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*2\/22 - 1002\/(-66). Let f be (-60)\/(-45)*h\/2. Suppose f*q - 319 = 9*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t - 43. Suppose 5*r = -56 + 31. Let a be s(r). Suppose 5*f - 14549995 = -5*g, -3 = 5*f + a. What is g rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2362107.1 and 1.15.\nAnswer: 2362108.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105660 = 12*g - 4476. Let u = g + -5051. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -7?\nAnswer: -135\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54907.49 decades in months?\nAnswer: 6588898.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 36 = -2*l. Suppose -3*o + 1078 = t, -l*o = -5*t + 84 - 1138. Suppose 3*p = -2*y - 0*p + o, 3*y - p = 515. What are the prime factors of y?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112\/24*(-30)\/(-4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2689228?\nAnswer: 2, 29, 97, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 527.7 - 528. Suppose 0 = -0*k - 5*k + 20. Let b = -4 - 0. What is the closest to a in b, k, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.4 - 21. Suppose 0 = 3*s + s + 8. Which is the closest to 0.1? (a) r (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-150)\/(-35) - 7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f - 83. Let c be x(6). What is the closest to 0 in c, 1.6, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1578835000 to the nearest one million.\nAnswer: 1579000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2 - 2490751*j + 2081208?\nAnswer: -2*j - 2490751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1082 + 1091.38. Let z = y - 6.05. Let p = -3.5 + z. Which is greater: p or -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101020011211 (base 3) in base 12?\nAnswer: 2b4087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/385 and -8\/419815.\nAnswer: 2938705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6550857 (base 10) to base 2\nAnswer: -11000111111010101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75718289459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let n = -3 - -3.1. Let m be (4 + (-108)\/30)\/1. Which is the nearest to n? (a) d (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463.133ml to litres.\nAnswer: 0.463133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -173400, -173408, -173420, -173436, -173456, -173480?\n\"Answer: -2*y**2 - 2*y - 173396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)\/(z\/z**(-2\/3))*z**4\/(z*z**(-2)))**10 assuming z is positive.\nAnswer: z**(730\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 33. What is the remainder when 17 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31083367.\nAnswer: 7, 37, 43, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqxk. Give prob of sequence kkkq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956031345.\nAnswer: 5, 277, 1412297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from {p: 5, s: 1, w: 1, d: 3, q: 4}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4. Let k be (0\/2)\/(1 - 0). Let w(a) = a**3 - a. Let g be w(k). Let o be p(g). Solve 4*n = 5*j + 24 + 21, o*j = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2929977327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -0.1, -4 in increasing order.\nAnswer: -4, -0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-25))\/(130\/9300). Which is greater: -56 or i?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*r + 4, 6*k + 10 = k + 3*r. Which is the third smallest value? (a) 2\/7 (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 25 = 56. Let h = -17 + f. Suppose 0*o + h = -5*o. Which is the closest to -0.1? (a) 2 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 819.7, -4, 0.1 in decreasing order.\nAnswer: 819.7, 2, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 2*q**2 + 3*q + 2. Suppose c + 0 - 1 = -3*w, 5*c = 2*w - 12. Let n be i(c). Let v(h) = h**2 - n - 3*h**2 + h + 3*h**2. Give v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*l**2*v**2 - l**2 - 2*l*v**2 - 2*v**2 wrt l?\nAnswer: -42*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 328 = 4*h - h, -2*h = 5*r - 252. Calculate the remainder when h is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-100))\/((-24)\/20 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2286157954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crs when three letters picked without replacement from rgbcbsbcycycybs?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2953951.7 and -0.1.\nAnswer: -295395.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**5\/55 - p**4\/11 - 10*p**3\/33 + 6*p**2\/11 - 38. Factor q(f).\nAnswer: 2*f*(f - 3)*(f - 1)*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p**2 - 1. Suppose 0*z = -4*z + 4. Let c(t) = -58342 + 3*t - 11*t**2 + 9*t**3 - 3*t**2 + 58348 + 8*t**2. Calculate z*c(f) + 6*n(f).\nAnswer: 3*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*b - 1496, -4*z - 3*b + 2488 = z. Let i = z + -280. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 20752234302*q**3 + 20752234298*q**3 + 1.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5295, -10590, -15887, -21186, -26487, -31790?\nAnswer: -37095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5649*b**2 + 2237*b + 13?\nAnswer: 11298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w. Let l = 24 + -9. Suppose -3*s + l = 3*o, -4*s + 15 = o - 8. Let v(z) = -5*z**2 + 6 - s. Calculate v(g(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1322112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7484059 by -29.\nAnswer: -258071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**5 - z**4 - z**3. Let y(s) = 7*s**5 + 2*s**4 - s**3 + 26*s**2. Let q(m) = -2*o(m) - y(m). What is the third derivative of q(r) wrt r?\nAnswer: -300*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -167714?\nAnswer: 167721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057866684 rounded to 5 dps?\nAnswer: -0.05787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3599322570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1137, -3\/7, 7\/4.\nAnswer: -1137, -3\/7, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -0.1, -354?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/120 - u**3\/3 - u. Let k(p) be the second derivative of b(p). Let z(f) = 5 - 5 + 6*f. Calculate z(k(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -388, 0.1, -27\/2, -0.4, 1\/4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98675855 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -164, -312, -462, -614, -768, -924, -1082?\n\"Answer: -r**2 - 145*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 37*p - 5*n = -42, 3*p - 9 = -3*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -244, 5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + 30. Suppose 669 = 9*p + 624. Suppose -24 - 94 = -4*o + p*y, w = 3*o + y. What is the greatest common divisor of o and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1736.3896 from -40.\nAnswer: 1696.3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37285783 divided by 1621121?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4322 + 4318. Let h(c) = c**3 + c**2 - 1. Let o be h(-1). Sort 0.06, w, o in decreasing order.\nAnswer: 0.06, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2283*x = -573*x - 191352 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + o**2 - 5*o - 5. Let c(a) = -a**3 + 2*a + 2. Suppose -18 = 3*v + 36. Let m be (-4)\/7 - v\/7. Calculate m*r(n) + 5*c(n).\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - u + 14*u**2 - 7*u**2 + 2*u + 8 - u**2 + 2*u**3 to j*u**3 + i*u**2 + g + d*u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + sqrt(121)*1)*4)\/(sqrt(176)*3))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8943 or 9013?\nAnswer: 8943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 23 + 3 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033769 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7550 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/90 + 4*v**5\/5 - 67*v**4\/6 + 328*v**3\/9 + 2*v**2 + 2. Factor z(n).\nAnswer: 4*(n - 4)*(n - 1)*(n + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9445770 to the nearest integer?\nAnswer: 3073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from hfkhhfafmmh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/(18*(-2)\/36).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -15*a + 295. Solve -6 = a*i - 23*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16296691 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/((-2)\/(-12)). Let k be (1 - d)\/(2\/(-10)). Calculate the highest common factor of 45 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (10\/(-2) + -11281). Suppose -12*k - 2769 + i = 0. List the prime factors of k.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*o**3 - 324*o**3 - 332*o**3 + 927*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 5. Let k(n) = -3*n - 5. Let q(x) = 4*k(x) + 5*v(x). What is q(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 3*z)*(z**2 - 2*z**2 - 4*z**2)*(-5*z + 3*z + 6*z).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23184 and 3715236?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/19300 and -173\/173700.\nAnswer: 173700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/2 (b) 160 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456712 is divided by 154?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) 3 (c) -195 (d) 2\/19 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/4668 and 51\/57572.\nAnswer: 172716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.010357615406 and 0.13.\nAnswer: 0.140357615406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 120 = -10. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkx when three letters picked without replacement from {x: 5, k: 2, p: 1, q: 8}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -434, 0.1, 0, -2\/3, -3\/5, 1 in descending order.\nAnswer: 1, 0.1, 0, -3\/5, -2\/3, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 430402?\nAnswer: -430401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 + 386.0000041. What is j rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 22 = -3*a. Let s = a - 25. Sort s, -5, 3, -1 in decreasing order.\nAnswer: s, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/180 - p**4\/24 - p**3\/9 + p**2\/2 + 3*p. Let d(w) be the first derivative of j(w). Factor d(c).\nAnswer: -(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - c - 100 = q, 0 = -q + c - 14. Let x = q - -46. Let l = 6 + 8. Calculate the remainder when x is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 0.1 (c) 227 (d) -5 (e) -2\/7 (f) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -820 (b) 3\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4346888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1662 + 2602. Calculate the remainder when z is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 309\/(-206)*(-4)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2660, -2654, -2648?\nAnswer: -2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 3*m - 66 = 33*y, -8*m - 2*m + 79 = 3*y - 2*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/86952 and 41\/37193718?\nAnswer: 148774872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -267*x + 1. Let n be z(-2). Let v = n + -293. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-326)\/(-6) + (-2)\/6. Let j(f) = -87*f**2 - 515*f - 398. Let u be j(-5). What is the highest common divisor of c and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:32 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 3. Let p be i(-2). Let t = -214.348 - -3.448. Let h = 211 + t. Put h, 0.07, p in decreasing order.\nAnswer: h, 0.07, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 62. Let m be d(8). Solve 3*u - m*q - 17 = 0, 0*u - u = q + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/1497 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -43. Suppose 0 = -4*v - 4*z + 280, 4*v - 3*z - 212 = d. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0*s - s + (-7*s + 2*s + 3*s)*(-2 + 0 + 1) + (2*s + 4*s - 4*s)*(3 - 1 - 3) + (-2*s + 2 - 2)*(3 - 1 + 0) + s + s - s + 0*s - 2*s + 0*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 16) to base 10\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 - -892\/5. What is the closest to -1\/3 in g, 3\/7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**3 + h**3 + (3*h**3 - 5*h**3 + 4*h**3)*(h + 5*h - 3*h) - 2*h**4 + 3*h**4 + 0*h**4.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14788976339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13562, 13557, 13536, 13493, 13422, 13317, 13172?\n\"Answer: -q**3 - 2*q**2 + 8*q + 13557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339.28848568 + 3251565.75931432. Let o = z + -3251518. Let i = o - 387. Round i to three decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1845, 1853, 1861, 1869?\n\"Answer: 8*r + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 113*o - 3372 - 2669 = -1316 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -26, -27, -28, -29?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89463 (base 13) in base 3?\nAnswer: 110122120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*d + 390, 3*d = 2*p - 0*p + 277. Let f = -83 - p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from bbbbjbbbbbbkbbjjb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150019\/22 - -6822. What is the common denominator of g and (0 - 22)\/(4\/9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918241953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 5, 2, 6258, 1 in increasing order.\nAnswer: 1, 2, 4, 5, 6, 6258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 14*n**2 - 9*n - 59. Let d be f(-7). Let i be ((-3)\/d)\/(72\/(-192)). Solve -t - i*p + 18 = 2*p, 0 = 4*t + 2*p - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/17)\/(r**(-7\/6)*r))**46 assuming r is positive.\nAnswer: r**(667\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose -2*p + 4 = -q, -q + o*q = -2*p - 8. Let h(z) = z + 5. What is h(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -3243, -9886, -22827, -44166?\nAnswer: -76003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, k: 3, p: 3}. Give prob of picking 1 p and 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Let b be (4\/(-10))\/(1*(-12)\/(-30)). Is b equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*o + 15579 = 0, -242*o - 3121 = -p - 245*o. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/2*4\/(-6). Suppose 2*c - 2*k - 12 = 0, -r*c + 12 = -4*k - 6. What is the third derivative of -2*n**2 - 2*n**2 - n**2 - 5*n**c wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3052)*(-9940)\/1065\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 100204*a**2 - 7*a - 28808715?\nAnswer: 200408*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/3895248 and 109\/1008.\nAnswer: 11685744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631695827 to the power of 1\/2, to the nearest integer?\nAnswer: 40394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 57, 80, 103, 126, 149?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552508396 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9949\/4 - -2474. Calculate the common denominator of ((-126)\/(-40))\/(3\/11*(-3344)\/(-2280)) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 8*c - 37378. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -5\/3*f**4 + 0*f**2 + 0 - 5\/6*f**6 + 0*f**5 + 0*f**3 + 17*f. What is the third derivative of h(k) wrt k?\nAnswer: -600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -7 - (4 - 2). Which is the second smallest value? (a) t (b) -2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 24 = d - 4*j, 10 = 2*j. Let i(b) = 2*b + 3 - 2 + d*b. Let o be (-2 - -7)*(-1 - (-12)\/10). Give i(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 20. Let o(i) = i**2 + 3*i + 1. Let p be (-2 - 0)\/(-1 + 2). Let s be o(p). Sort 0, s, g in increasing order.\nAnswer: g, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16147662?\nAnswer: 2, 3, 2691277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 100 (c) -0.4 (d) 0.38 (e) -2\/11 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0 - 4*r**2 + 0*r**5 - 2\/105*r**7 + 1\/24*r**4 + 0*r + 0*r**6 + 0*r**3. What is the second derivative of l(v) wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21144, -21132, -21120, -21108, -21096?\n\"Answer: 12*u - 21156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 11*x**2 + 17*x - 18. Let u be p(-8). Suppose 5*d + 80 = 5*v - 0*v, -5*v + u = -2*d. Is 0\/(-2)*(-7)\/d - -1357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, l: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000238394036 rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4998 - -5859. Calculate the highest common factor of 1230 and y.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 27607457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1201431 (base 5) to base 9\nAnswer: 33303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 172, 173, 174, 175?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 113. Let n = o + 82. Let f = 5 - 7. What is the closest to n in f, 0, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-31 - (10 + -8 - 9)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536071?\nAnswer: 661, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 0*j + 7*j - 4*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/12)\/(4\/(-12)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)*k)**(-41)\/(k**(-1)*k*((k\/(k**(-2\/17)*k))\/k*k)\/k) assuming k is positive.\nAnswer: k**(-2061\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 8679.\nAnswer: 8684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45.164794, -1\/3, -5?\nAnswer: 45.164794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 - 131*g**2 - 151*g + 1163. Give j(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a = 4*a. Let s(b) be the third derivative of a + 0*b + 0*b**4 + b**2 + 1\/360*b**6 + 0*b**3 + 0*b**5. What is f in s(f) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(66)\/(sqrt(6)*-1))*-2.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 194, 697, 1540, 2729, 4270, 6169, 8432?\n\"Answer: q**3 + 164*q**2 + 4*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311 - -1003113132?\nAnswer: 1003112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10320110 + 101313022?\nAnswer: 112233132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*(-3080)\/2310?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 = -5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2\/(-2))\/(((-644)\/210)\/46).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89053 and 3?\nAnswer: 267159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**5\/7 - 29796*o**4\/7 - 38782974*o**3\/7 - 4424159064*o**2\/7 - 10995310440*o - 365741438400\/7 = 0. What is o?\nAnswer: -2421, -104, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4684741 (base 9) to base 16\nAnswer: -26b282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.06238 millennia in months?\nAnswer: 504748.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214712953*k**3 - 436870517?\nAnswer: 644138859*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*r = -1996, 2756 = 7*b - 5*r + 24. What is the lowest common multiple of b and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477646 is divided by 14197.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oux when three letters picked without replacement from {o: 7, u: 6, x: 4}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6617608 or -6617603?\nAnswer: -6617603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q - 14. Let c = 31 + -37. Is v(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f, 4 = -2*p - 2*p + 2*f. Suppose 0 = -z - p + 23. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1989 divide 73056741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**2 - 35*x - 11. Let y be o(5). Solve 5*a = 3*j + y, -11*a = -4*a + 2*j - 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3495884*k*r**4 + 35*k*r**2 - k + r**6 + 9*r**2 - 80*r + 2 wrt r.\nAnswer: 83901216*k*r + 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 19*q**2 - 5*q + 10. What is the hundreds digit of t(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/15)*a)**(2\/73)\/((((a*a*a\/a**2)\/a)\/a)\/a**(-27)) assuming a is positive.\nAnswer: a**(-28408\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 3 - 5 + 4*o)*(4*o - 4*o + 2*o)*(132*o**2 - 43*o**2 + 1424*o**2).\nAnswer: 12104*o**4 - 6052*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxushqq. Give prob of picking 1 x and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -5, -2\/9, -686, 0, 249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 - 10*b**2 + 2*b + b**3 + 8 - 4*b. Let l(s) = s**3 - 16*s**2 + 3*s - 24. Let v be l(16). Suppose v + 18 = 6*c. What is u(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3) + sqrt(3) - (-2 + sqrt(3) + -1))**2.\nAnswer: 24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -221, 3, 5, -0.8 in descending order.\nAnswer: 5, 3, 3\/2, -0.8, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*((-1 + sqrt(500) + 1 - sqrt(500))*2 - ((sqrt(500)*2 + 4 - sqrt(500)) + 5)))**2.\nAnswer: 6600*sqrt(5) + 21025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/(-79205)*-62)\/(2\/(4*7))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -12*q**3 - q**2 - q. Let c = -19 + 18. Let i be k(c). Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.45?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2084491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 114 = -76. Suppose -j = -n - 6. Suppose u - 5*u = -j. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.1603 * 8.\nAnswer: 625.2824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 = 5*c, -5*n = -4*c - 2 - 5. Solve 3*j - q = 11, j - 10 = -n*j - q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22988*x + 7900 = 22593*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**3 + 9*v**2 + 9*v - 9 wrt v.\nAnswer: 18*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8389, 8346, 8353, 8440, 8637, 8974, 9481?\n\"Answer: 5*w**3 - 5*w**2 - 63*w + 8452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 + 2*t - 20. Let w be q(7). Is (w\/90*5)\/(1\/(-74829)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s*s)**34\/((s*s**(1\/4)*s)\/s**(-1\/11)) assuming s is positive.\nAnswer: s**(7377\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 9209421.\nAnswer: 64465947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b = -95*b + 302461 + 30175. Calculate the remainder when b is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4298 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 468 = -2*x, -w = -3*x - 50 - 53. Suppose -2*q + 7*q = -w. What is the common denominator of (q\/(-8))\/(3\/6) and -65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6764 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -2) + 6 + (-14 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y - 12 = 0. Let x be y + 5 + (25 - 1). Let a be (20\/12 - 26\/39)*(1 + -1). Solve a*p - x = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.02227 - -2.03?\nAnswer: 11.05227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**8\/960 - 11*n**7\/1260 + n**4\/6 - 18*n. Let q(w) be the third derivative of b(w). Find the third derivative of q(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and 71\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6376, -6409, -6442, -6475?\nAnswer: -6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*i - 167*c**3 - 3*c**2*i - 229*d*i - 2*d wrt i?\nAnswer: 2*c**3 - 3*c**2 - 229*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 9 + 9*k**2 + 2*k**3 + 15 + 5*k**2 + 16*k. Let a be s(-9). Let t = a + 3179. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**2 - 726\/5*w - 292.\nAnswer: 2*(w - 365)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 2*y + 5*y + 2*y - 3*y + 3*y + (2*y + 3 - 3)*(3 - 4 + 2) + y - 6*y - 48 + 7*y in the form t + j*y and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099*t + 1106*t + 175*t**2 - 2205*t.\nAnswer: 175*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 151*i**3\/3 + 159*i - 91. Differentiate g(y) with respect to y.\nAnswer: 302*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - ((sqrt(153) + sqrt(153) + 1)*4 + sqrt(153) - sqrt(153)))*-2*4)**2 + 5*(-5*(sqrt(2057) + 1) + 1 + (-1 + sqrt(2057))**2).\nAnswer: 10367*sqrt(17) + 491102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 427\/2325 + -89\/93. Find the common denominator of c and -58\/27.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 26*h**2 + 7*h - 50. Let w be i(9). Let o = 561536\/265 - w. Is o at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**42)**(-31) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 19 = -2*f + 65, 10 = 5*t. Suppose 4*n = -n + 15. Suppose i - n*i = -f. What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (378\/(-60))\/1*(-11)\/(132\/10)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0614666 from -0.2.\nAnswer: -0.1385334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 38 = 25*c - 4*x, -3*c - 5*x + 53 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + v - 14 = -3*a, 2*v - 4 = 0. Suppose 5*h + w - 6*w - 30 = 0, -w - 26 = -3*h. Let y = -9 + h. Sort y, 3, a in decreasing order.\nAnswer: a, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 3*p + 15*p in the form n + q*p and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0603027 plus 22.09801?\nAnswer: 22.1583127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -58*j + 2. Let l(m) = -116*m + 6. Calculate 5*i(g) - 2*l(g).\nAnswer: -58*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 296939.46 minutes?\nAnswer: 4948.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/3)\/((-8)\/16). Suppose s + 4*s = 4*o - 8, o + s + 7 = 0. Let h = -419 - -420. Put u, 6, o, h in increasing order.\nAnswer: u, o, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 616.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12074 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1658892733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4\/4 + 205*f**3\/2 + 6535*f**2\/4 - 7375*f\/2 = 0.\nAnswer: -59, -25, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-16 - 2 - (31 - 3)) - 8\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiikiikiiiik. What is prob of picking 1 k and 3 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 1, i: 4, s: 3, a: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f. Let m be x(-4). Suppose -24 = 23*q - 29*q. Suppose -28 = -6*i - q. Sort -2, m, i.\nAnswer: -2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 1 + 4 + 9*s + 0*s in the form t + n*s and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012121022 (base 3) to base 16.\nAnswer: -a9bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2209524\/180 - 2\/15. Let s = 650497\/53 - l. Let p = s + -2004\/583. What is the common denominator of 31\/10 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 21*l - 24 = 0. What is the highest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -327 - -1639\/5. Let x(z) = 3*z**2 + 4*z - 1. Let c(b) = 4*b**2 + 5*b - 1. Let w(l) = 4*c(l) - 5*x(l). Let a be w(-2). Sort a, 1, f.\nAnswer: f, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 106*s - 42. Let q(l) = 21*l - 8. Let y(c) = -3*m(c) + 16*q(c). Let v(b) = -17*b + 2. Let z(x) = 6*v(x) + 7*y(x). Let o(r) = r**2. Determine z(o(i)).\nAnswer: 24*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 57 = 0. Calculate the remainder when 110 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 12872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(sqrt(28)\/sqrt(4))**2 - (sqrt(448)*2 + -2)**2.\nAnswer: -1628 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 231118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 21*y = -588. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 19 = -4*d - 25, -2*d - 6 = 2*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from phphnnnnp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 21. Let x be u(11). Let r = x - -46. Solve 23 = -2*v + 5*y, 10 = r*y - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*q - 5343*q - 689*q - 313*q - 7096*q + 789*q)*(-3 - 13*q + 3).\nAnswer: 165269*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 32*j - 1. Suppose 154*y + 10 = 159*y + z, 0 = y - z + 4. Determine u(y).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.1 - 0.1134.\nAnswer: -8.2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-21)\/672)\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/12 and 47\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 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: Suppose -m = -4*y - 21, 2*y + 16 - 82 = -4*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1421009 and 2\/79143.\nAnswer: 157731999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-155) - (-6550)\/(-5425).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (438\/(-365))\/(3\/25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56931829 = 56931829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 6 = 21*v. Let c(y) = 19*y**v - 40*y**2 + 20*y**2. Let d(z) = -4*z**2 - 7*z**2 + 15*z**2. Calculate c(d(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-14))\/(1\/4). Suppose -u*g = y - 257, 6*g = g - y + 650. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.867041576 plus -0.21?\nAnswer: -72.077041576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 184*t**3 - 183*t**3 + 9*t**2 + 0 - 2 - 11*t. What is k(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s - 2015*s**3 + 27*s + 12*s**2 + 415 + 2016*s**3 + 2*s**2 in the form x*s**2 + l*s + o + r*s**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + 13*m - 7. Let x(j) = j**3 + j**2 + 2*j - 1. Let s(y) = q(y) + 3*x(y). What is the tens digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 30 = -0*w. What is the units digit of ((-12)\/w)\/((-3)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*b + 262*b + 1 - 34*b**3 + 770*b - 50*b**3.\nAnswer: -84*b**3 + 836*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Suppose g + 3*x = 8 + 1, -4*g + 3 = x. Let u(v) = -v + v - v + g. Determine s(u(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*d**4 + d**3 + 22*d**2 - 509.\nAnswer: 1032*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - (sqrt(528) - (sqrt(528)*4 + sqrt(528))))\/(sqrt(11) + (sqrt(176)*-2 + sqrt(176) - sqrt(11))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6868139 + -9841288. Let x = c + 2973194.99941. Let u = 46 - x. Round u to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20021 + -20?\nAnswer: -20111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Let k = 58.7 - 59.1. Put k, 0, g in increasing order.\nAnswer: k, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.3. Let j = -6.1 - o. Let x = j + 5.6. What is x rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 2 (b) 596 (c) -21 (d) -1\/320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 + 373. What is the third derivative of 139*w**2 - 224*w**2 + d*w**3 + 2*w**3 wrt w?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468258532 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -32. Let l be (12\/t)\/(2\/16). Is (-1272)\/(-22) - l\/(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**5 - o**3*s**3 + o**2*s**2 + 8*o**2*s - 5*o*s**3 wrt o.\nAnswer: 240*o**2 - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.15, -2, -0.5, -0.3, 82?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = d - 11, -4*d = -8*d + 4*p + 76. What is the remainder when 55 is divided by (d\/(-2))\/(6\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 542\/5, -7, 163469 in increasing order.\nAnswer: -7, 542\/5, 163469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*z = -7, -3*w + 5*z - 3 + 4 = 0. What are the prime factors of 5 - (-3)\/(w - -6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -433.207 + 433. Let a = -0.2 - r. Round a to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -103 and 3.6.\nAnswer: -99.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, -6, -29, -64?\n\"Answer: -6*u**2 + 7*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349171454.\nAnswer: 2, 3, 224861909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/8, 83\/787, -2\/3 in ascending order.\nAnswer: -2\/3, 83\/787, 25\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 0. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2\/40*(-20)\/15. Let q = 38\/3 - 13. Let s = -2 - -7. What is the smallest value in q, s, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527713732 a multiple of 4459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/9 + 308429*c**2\/9 + 239894*c + 205624 = 0.\nAnswer: -6, -1, 308436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14575 - 9397. Let b = u + -62027\/12. Find the common denominator of -87\/20 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12916.9 - -12917. Let t be -4*(-3)\/42*-1. What is the smallest value in -14, -1\/19, t, b?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049 - 5.111. Let r = l - -0.16. Suppose 4*q = 2*t + q - 9, -5*q = 4*t + 37. What is the second smallest value in r, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/3 - (-16)\/24. Let y(j) be the first derivative of 1\/4*j**4 + 4\/3*j**3 + 3 + 5\/2*j**2 + u*j. Determine y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 37*n**5 - 77*n**5 + 37*n**5 + 3*n**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/11))\/f)\/(f*f**(-2)\/f)*(f*f**1)**(-23\/5))\/(f**(1\/4)\/(f\/(f\/(f**2*f)*f*f))*(f**(-2\/7))**(-32)) assuming f is positive.\nAnswer: f**(-23873\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2791624 is divided by 1226?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ee34 - 24?\nAnswer: -ee58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 0, 3, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1003 + 1037. Suppose j - 944 = -35*y. Let k be 104\/6*(-6)\/(-4). What is the highest common divisor of y and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10225893 or 10225892?\nAnswer: 10225893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + b - 12840. Let k be 134*(-108)\/b + 3. Let r = k - 2\/107. Put 4, -5, r in descending order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*m + 46*m + 1493 = -12034 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11482 is divided by 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovv when three letters picked without replacement from {l: 13, o: 2, v: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/15 + 122*i\/3 + 29768\/15.\nAnswer: 2*(i + 61)*(i + 244)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 17*g**2 - 75*g**2.\nAnswer: -83*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-4)\/(-22) + (-41256)\/(-88) + -12). Which is bigger: d or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g - 4. Let f be z(4). Suppose 18 - f = -3*u. What is the smallest common multiple of 12 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540*f**3*v - 6*f**2*v + f + 6*v wrt f?\nAnswer: -3240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 - -3 - -11 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 - 304*n**3 - 6232*n**2 + 390448*n + 7458900 = 0.\nAnswer: -23, 47, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -124. Suppose n*h + 5*b = 1335, 2*h + 4*b = 742 - 210. Suppose -2*d + h = 6*x - 11*x, -128 = -d + x. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 75, 0.3, 0.04, 13\/17?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1052*r - 375572. Give z(-357).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51 + 784*x**3 + 420*x + 2724*x**3 - 390*x wrt x?\nAnswer: 21048*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z - 251. Let t be v(18). Let r(m) = 110*m**3 + 5*m**2 - 5*m. Let y be r(t). Calculate the highest common factor of y and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.027 + -75.973. Let x = w - -86. Which is the third biggest value? (a) x (b) 5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1. Which is the third smallest value? (a) o (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/30 + s**4\/4 + s. What is the third derivative of z(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (604\/4 + -2)\/((-16)\/(-16)). Solve -i*y = -135*y + 84 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.376954 meters to millimeters.\nAnswer: 1376.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axn when three letters picked without replacement from axnnnnana.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 17*m**8\/336 - m**4\/8 - 11*m**2\/2 - 8. Let l(n) be the second derivative of a(n). Find the second derivative of l(v) wrt v.\nAnswer: 340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/808 and -151\/36?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q - 3 - 4 + 3*q. Suppose -t = -10 + 2. What is the least common multiple of t and w(-9)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b - 22. Let k(z) = 7*z + 11. What is -5*k(v) - 2*p(v)?\nAnswer: -13*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552*b + 1523*b = -696 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 161, 93, -15, -169, -375, -639, -967?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 7. Let g be m(-2). Solve -3 - g = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2211332 + 13133?\nAnswer: -2132133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/648*-45*494\/(-13).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.45 + 0.05. What is the closest to -1 in g, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17922 and 103?\nAnswer: 17922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 p, and 1 d when four letters picked without replacement from {f: 7, p: 5, s: 1, d: 6}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -19 + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/50 + 18*q**5\/25 - 22*q**4\/5 - 336*q**3\/5 - 1176*q**2\/5 - 233*q. Determine g, given that y(g) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3*s**6 + 5*s**4\/2 + 313*s**2 - 823. Find the second derivative of f(k) wrt k.\nAnswer: -360*k**3 + 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -11*m**5\/15 + 13*m**4\/6 - 4*m**3\/3 + 6*m**2. Factor o(t).\nAnswer: -4*(t - 1)*(11*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 21*x**3 + x**2 + 6*x - 5. Calculate a(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39922 + 39924. Sort 0, t, -4, 0.01, 6 in descending order.\nAnswer: 6, t, 0.01, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1818*b**2 - 407. Let y(w) = -2*w**2. What is f(y(r))?\nAnswer: -7272*r**4 - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 6*p**2 + 7*p + 2. Suppose -4*a - 2*u = 13 + 11, 6 = -2*a - 4*u. Let q = 17 - 7. Calculate the lowest common multiple of q and l(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*(4 - (-15)\/(-4)) + 1411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n + 9 + 3*n + 2*n**2 - 4*n**2 - 3*n. Let m be y(8). Let f be ((175\/15)\/7)\/m. Which is the nearest to -2? (a) f (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + k + 1. Let i(y) = -2*y. Let q be (-2)\/4*6 + 2. Let m(j) = -58*j + 172. Let r be m(3). Calculate q*i(o) + r*n(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 357 = -67*d, 10*d + 17*y - 107 = 9*d + 19*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -207, -308, -479, -744, -1127?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -2*b - 2*g, 6*b + g + 153 = 7*b. Calculate the greatest common divisor of b and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/6 + 545*x**4\/6 - 266*x**3\/3 - 1088*x**2 = 0. What is x?\nAnswer: -3, 0, 4, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 17*p**2 - 5*p - 1. Let r(x) = 3*x**3 - 25*x**2 - 8*x - 2. Let m(z) = -5*r(z) + 8*t(z). Let k be m(11). Put -2, 3, k in ascending order.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:10 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -20 - -55) + 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhh when three letters picked without replacement from hhhxqhunu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 5, u: 1, e: 1, d: 3, p: 1}. What is prob of picking 1 e, 2 m, and 1 d?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 744.92 - 787. Let m = 42 + l. What is the closest to m in 1\/11, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n - 3*v = 53, -4*v - 10 = -2*n. Suppose -3*w + 35 = -n. What is the remainder when 29 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664.5665 + -5?\nAnswer: 2659.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 + 3*t**4 - 4*t**4)*(279*t - 625*t - 894*t - 190*t).\nAnswer: 4290*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 690 or 689?\nAnswer: 690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, p: 2}. Give prob of sequence qq.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*g - 26*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 10890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6723523 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4237\/(-57) - -74)*-37*3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 145\/45 - (-410)\/18. Suppose -13*a = -z*a + 30. Solve 5*q = -5*l + 9 - 49, -a = q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z + 0*z)*(-48*z**2 + 123*z**2 - 34*z**2)*(-5*z + 0*z + 0*z).\nAnswer: -410*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19151 is divided by 9427.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001488486 rounded to seven dps?\nAnswer: 0.0001488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20819, 21116, 21413, 21710?\n\"Answer: 297*p + 20522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 244, -2\/7, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8562.952nm to centimeters.\nAnswer: 0.0008562952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from asmvsznzm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*z**2 + 22\/3*z**3 + 10\/3*z**4 + 0*z + 0.\nAnswer: 2*z**2*(z + 2)*(5*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726480627 - -142941?\nAnswer: -1726337686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*y = -2 - 4, -3*p + 3*y - 9 = 0. Suppose p = 20*r + 352439425 + 185560575. Round r to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132113 and -0.13.\nAnswer: 17174.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (-31 + -26) - (6 + 1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -90288801311 and 2.\nAnswer: -90288801309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 165888590 divided by -2\nAnswer: -82944295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2339, -4444, -6487, -8480, -10435, -12364, -14279, -16192?\nAnswer: -18115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415512 (base 8) to base 7.\nAnswer: -1113334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-552)\/690)\/(22\/55).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1495 = -15*j + 5770. Let l = j + -283. Sort 4, -2, l, 3 in decreasing order.\nAnswer: 4, 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1651 - 1642. Suppose -15 = 4*b + 2*r - 7*r, -9 = 4*b - 3*r. Suppose b = 5*x + v - 29. What is the greatest common divisor of x and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (3 - -5))*-3. Let n(g) be the third derivative of g**5\/30 - g**4\/12 - g**2. Is 6 a factor of n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35126 and 0.2.\nAnswer: -7025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1639ff?\nAnswer: -1639fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1497823436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*u = -20, 5 = 5*y - 3*u - 28. Calculate the least common multiple of y and 7 + 30\/(8 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4524*n**3 + 2442*n - n**2 - 1824*n - 3594*n wrt n?\nAnswer: -27144*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 2. Let q = 182 - 188. Let j(k) = -3*k + 2. Determine q*j(u) + 5*r(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = -86*l + 1334 + 2041 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.245 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(99) + 0 + -2 + 4*(5 + sqrt(99)*2))**2*1*-4.\nAnswer: -82800 - 12096*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -226052? (a) 4 (b) -0.1 (c) 0 (d) -4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2587 - 0.25883554. What is v rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1976.05 + 1976. What is the nearest to 1\/6 in 3\/8, 4, -0.4, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/3 + 2726*p\/3 - 13480 = 0. Calculate p.\nAnswer: 15, 1348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/8, 5512 in decreasing order.\nAnswer: 5512, 0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627483010?\nAnswer: 2, 3, 5, 87582767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -96. Let w = 8.9 + u. What is the biggest value in -6, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0391681mg to tonnes.\nAnswer: 0.0000000000391681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a - 128*a - 36 = 0. Calculate the remainder when 358 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124823, -249957, -375091, -500225?\n\"Answer: -125134*s + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let v(m) = -6630393*m**2. Determine v(l(d)).\nAnswer: -26521572*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*g + 22*a, 3*g - 2*a - 12 = a - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32034.563 rounded to the nearest 10?\nAnswer: -32030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22065393?\nAnswer: 3, 7, 1050733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*x - 18 = 0, -4*x - 10 + 34 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6) + 1)*4. Let f(u) be the first derivative of 4*u**2 + 3*u**2 - 6*u**p - u**3 - 1. Find the second derivative of f(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1416, 2830, 4244, 5658, 7072?\n\"Answer: 1414*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 - 3791*r**3 - 26222943*r**2\/2 + 9554908429*r - 6352511935561\/4.\nAnswer: -(r - 319)**2*(r + 7901)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 675, 725, 789, 873, 983, 1125?\n\"Answer: k**3 + k**2 + 40*k + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 6*r - 4*f, 3*f + 3380 - 3386 = -0*f for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(600))\/(sqrt(12) + (sqrt(12) - 3*2*sqrt(12))) + (2*(sqrt(16) + 1*sqrt(16) + sqrt(16)))\/(sqrt(8) + -5*sqrt(48)\/sqrt(6)).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 13611*w + 2728*w + 2704*w + 2729*w + 2727*w + 2725*w.\nAnswer: 2*w + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*n - 209 = 0, 44*n - 201 = 3*j + 47*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21825 - 21872. Which is the closest to 0.2? (a) -12\/13 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((4 - -13) + -37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.1 + 41. Sort 1\/5, x, -0.4 in decreasing order.\nAnswer: 1\/5, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 37077*z**2 + 10 + 4*z - 37080*z**2 - 3*z. Let g = -2 - -4. Let x(a) = a**2 - a - 3. Give g*o(r) + 7*x(r).\nAnswer: r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 45*y**3 - 227*y**2. Let p(k) = 45*k**3 - 227*k**2. Let g be 18 - 21 - -8*1. Let q(d) = g*v(d) - 6*p(d). Find the third derivative of q(s) wrt s.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41023202 (base 5) to base 7\nAnswer: -2542344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0 + 48*y + 0*y**2 + 1\/6*y**3 - 3\/10*y**6 + 0*y**4 + 0*y**5. Find the second derivative of g(u) wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + m**2 + 3*m - 3. What is r(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6355 is divided by 1266?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 3 + 3)*(3*x**2 + 5 - 5) + (-1 + 1 + 3*x)*(225*x**2 - 110*x**2 - 94*x**2) to c*x + j + l*x**3 + a*x**2 and give l.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*13.5346\nAnswer: -0.947422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3937, 7858, 11779?\n\"Answer: 3921*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.006793ml to litres.\nAnswer: 0.003006793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -13) + 4 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28707473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/6 - 17*p\/6 + 14 = 0.\nAnswer: -21, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:06 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 2*g - 1. Let x(r) = r**3 - 9*r**2 + r - 11. Let i be x(9). Let p = 8 + -5. Let y(t) = 2*t**2 + t. What is i*l(h) + p*y(h)?\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92b + -2933?\nAnswer: -325e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**3 + 2*n - 1. Let c be z(1). Let g be (-49)\/(-3) - c\/(-24). What is the common denominator of g\/12 + (-426)\/(-108) and 145\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8883677 or -8883676?\nAnswer: -8883677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**6\/15 - 5*v**3 - 67*v**2 + 39*v. Find the first derivative of s(n) wrt n.\nAnswer: 8*n**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 21, -60 in decreasing order.\nAnswer: 21, 3, 1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/26 + 8400\/325. Suppose -23*q = -n*q + 63. Calculate the smallest common multiple of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3866854 to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306458 or -306469?\nAnswer: -306469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*l - 917*l = -525*l + 6725 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/60 + o**4\/36 - 5*o**3\/18 + o**2\/2 - 10*o. Let g(c) = 0. Calculate c.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 - 658*v**2 + 17176*v - 96320 = 0. What is v?\nAnswer: 8, 20, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*t**5 + 50*t**3 + 2*t + 781 wrt t?\nAnswer: 260*t**3 + 300*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51559906 and 112426.\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 6681129?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620 = -14481*a + 14512*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 - 8*d**2 + 19*d - 38. Let z(l) = -l**3 - l**2 - l. Let t(w) = b(w) + 5*z(w). Is 12 a factor of t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + 1)*-4 - (2 + sqrt(85)\/sqrt(5)))*-1)**2.\nAnswer: 60*sqrt(17) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-23*295\/(-107203))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o)**35\/(o**(-7)\/(o\/(o*o*(o*o*o*o\/(o*o*o*o**(1\/27)*o*o)*o)\/o)*o)) assuming o is positive.\nAnswer: o**(-1673\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -19*d - 17. Let m be 16 - -4*(-3)\/4 - 7. Let p(v) = -6*v - 6. Determine m*g(w) - 17*p(w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.053 times -11.5\nAnswer: 12.1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3969*a**2 - 3988*a**2 - 105*a + 6 + 7955*a**2.\nAnswer: -2*a**2 - 105*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 34\/7, -2\/11, 0.2, -48, 2\/5 in decreasing order.\nAnswer: 29, 34\/7, 2\/5, 0.2, -2\/11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 826 and 124844?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432975 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16127 - -16127. Let h(o) be the third derivative of 1\/8*o**6 + n*o**5 + 0*o + 0*o**3 + 0 - 6*o**2 + 1\/24*o**4. What is h(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 985 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7509249 divided by 3.\nAnswer: -2503083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 419*n**2 - 60*n - 99. Let h(x) = -x**3 - 139*x**2 + 21*x + 35. Give 17*h(g) + 6*r(g).\nAnswer: g**3 + 151*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from wwxtwtt.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17877970 to the nearest integer?\nAnswer: 4228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**4 - 44*g**3*r**2 + 1073*r**2 + 2 with respect to g.\nAnswer: -28*g**3 - 132*g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/200 and (9 - 8)*368\/(-2400)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.9. Let u be 16\/(-3) + 2\/(-3). Let g be (1\/6)\/((-3)\/u). Which is the closest to 1? (a) q (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrllddlbllrblr. Give prob of picking 2 l and 1 b.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) -1\/6 (c) -0.5 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 670, 992, 1370, 1810, 2318?\nAnswer: 2900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248\/57 + 109813\/399. Let k = m + -279. Let f = -0.3 - 0.2. Which is the closest to 1? (a) k (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117360 and 156480?\nAnswer: 469440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(0 - 3 + 1)*(0*o**3 + 2*o**3 - 11*o**3)*(o**2 + 5 - 5) - 5*o**4 + 4*o**5 + 5*o**4.\nAnswer: 40*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4704\/(-288)*(-210)\/(-98).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730032 smaller than 730071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*i**3*z - 2*i**3 + 224*i*z + 3966573*z with respect to i.\nAnswer: 93*i**2*z - 6*i**2 + 224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 g when three letters picked without replacement from gcgegggefcecg.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = 4*y, y = -5*z + 50. What is the second derivative of 16*j**5 + z*j + 21*j - 6*j wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 19*f**2 + 94*f + 16. Calculate o(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-70)\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 1151 - 1045 = 120*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27229 + 27232. Solve -12 = d*y - 3*b, -19*y - 5*b = -22*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58467 = -3*i + o, -4*o = -i - 2*o + 19494. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1154, 3, 5 in descending order.\nAnswer: 1154, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44468865 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41, 0, -34629?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91*(-27)\/(-18)*48\/468.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12616? (a) -3 (b) 0.8 (c) 3 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 997\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 1 - 1)*(-2 + 0 + 0) + 4*f - 3*f + f + (-f + 3*f + f)*(39 + 61 + 14) in the form n + r*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0799099539 to four dps.\nAnswer: -0.0799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53869 (base 15) to base 5\nAnswer: -31441044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 1, n: 1, e: 1, s: 2, q: 1}. What is prob of picking 1 o, 1 s, and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66079*r - 155 + 22023*r + 22030*r + 22027*r.\nAnswer: r - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5092, -9996, -14880, -19744, -24588?\n\"Answer: 10*r**2 - 4934*r - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)\/h)\/(h*(h*h*h**(-1\/10))\/h*h))**(-46)*((h\/(h\/h**1))\/((h*h**(-2)*h)\/h))\/(((h\/(h\/(h*h**(-5\/4))))\/h)\/(h**(-3)\/h*h)) assuming h is positive.\nAnswer: h**(3133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -14 + 9 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -22*q - 1. Let w be m(-1). Let u = -0.316491 + -0.183509. What is the nearest to 1 in w, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 - 2*b**3\/3 - b**2 - 42*b + 2. Let n(w) = -2*w**2 + 5*w + 2. Calculate 2*n(h) + 3*r(h).\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -82, -2\/11, -9, 0, 0.1, -136?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 21*w = -176 - 11 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/99 + 12\/18. Let k = -18757 - -18757. Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 1532169?\nAnswer: 245147040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512325 and 1518?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 10:00 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9254 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2642948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 79042.36 centuries?\nAnswer: 7904.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 (base 7) in base 12?\nAnswer: 3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + g**2 - 2. Let c(f) = f**3 + f**2 + f - 1. Let v(i) = -3*i**3 - 6*i**2 - 5*i + 7. Let q(y) = 5*c(y) + v(y). Give -5*q(u) - 4*s(u).\nAnswer: -2*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -1\/5 (c) -1899 (d) 150\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/6265 and -71\/175.\nAnswer: 31325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 6, f: 5, y: 1, r: 7}. What is prob of picking 1 l and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 5*p - 244. Suppose 0 = h - 2*j - 31, h + j - p = -3*h. Let w be h\/(-46) - 46\/(-4). Calculate the greatest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (130\/6)\/((-16)\/(-48)). Let a be (-26)\/m - (-22)\/5. Suppose s = a*s. Solve s*x - 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188565 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/3 - 8\/(-3). Let p be 4\/(-20)*(-1000)\/(-400). Let h = 28 - 55\/2. Which is the second biggest value? (a) p (b) v (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20698 + -20638. Calculate the highest common divisor of 3144 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157725152 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -35. Suppose o = 2*k + 155411 + 6589. What is k rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 0.729, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(20)\/(sqrt(10)*1)*3) + -1)**2.\nAnswer: -264*sqrt(2) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 + 0.12. Let s = -8 - -8.3. Let d = s + x. What is d rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:56 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (145\/(-87) + (-5)\/10)\/(1\/(-6)). Let v = -27 - -66. What is the highest common divisor of o and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 23*y**2 + 2*y. Let h(t) = -350*t. Calculate h(k(d)).\nAnswer: -8050*d**2 - 700*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 1961 = 9*t. Suppose 0*b + 4*b - 825 = -5*l, -2*b = l - 417. Calculate the remainder when b is divided by t.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2927, -5863, -8809, -11765, -14731, -17707?\n\"Answer: -5*g**2 - 2921*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29907692947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -8*h + 20*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571927425.\nAnswer: 3, 5, 7625699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*o*p**3 + 4*o*p*x - 15917*o*p - 241*p**3 - 430*p**2*x wrt o?\nAnswer: 5*p**3 + 4*p*x - 15917*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 11*f + g + 25 = 0, 3*f = 5*g - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8b7 + 1cb?\nAnswer: cab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - g. Is g >= 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59330 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -12. Suppose 0 = 2*x - 2 - 6. Suppose 48 = x*k - k. What is the remainder when s is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, -5, -0.03, -355?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 24 - 8. Suppose t - 12 = 4*t, 5*a - 374 = -4*t. What is the common denominator of -1 - 2\/(m\/a) and 37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 + -102. Suppose l = 2*x + x. Suppose 5*j - 6 = x. What is the greatest common divisor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)*-1*40\/4. Suppose -11*h + 45 = -l. Solve -h*t - 4 = 2*w, -4 = 2*w - t + 4*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + 12 - (2 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -65856359.\nAnswer: -197569077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*v - 2*c, v + 3*c = -v + 8. Put v, -2\/3, -1, -5\/2 in decreasing order.\nAnswer: v, -2\/3, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/306 and 179\/300.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-5))\/((-3)\/(-15)). Let p(z) = -3*z**3 + z - 2*z**3 - 4*z + 3*z**q. Let t(m) = -m**3 - m. Determine -p(r) + 3*t(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 4*u - 2*u)*(u + 48*u**3 - 4*u**3 - 23*u**3) in the form h*u + q*u**4 + r*u**3 + p*u**2 + a and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -399495000 rounded to the nearest one million?\nAnswer: -399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3506 + -3030. What is the greatest common factor of 2996 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*sqrt(440)\/sqrt(11))\/(sqrt(968)*3 - sqrt(968)).\nAnswer: -5*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 4*z**2 + 3*z - 2. Let k be d(-3). Let i be 1\/k + (-123)\/(-6). Suppose 0 = -6*l + l + i. What is the greatest common divisor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 44\/33) + (-2)\/(-6). Let 7\/3*a**2 + 0 - x*a**3 + 2\/3*a = 0. Calculate a.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.02 (b) 1\/2 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.1, -2\/3, 19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (88\/5*(-2 + 3201\/(-22)))\/(-2) is divided by 645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/43, 0.004, 5, -5, 0.09, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43588, 43585, 43580, 43573, 43564, 43553?\nAnswer: 43540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-5) - (-8)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w - 2. Let p be g(3). Let v be (-92)\/9 + p\/18. What is the units digit of (-4)\/v + (-8)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246 - 133 - 2*l**2 + 510 to y*l**2 + w + o*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44221849, 44221846, 44221843?\nAnswer: 44221840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 38. Suppose 3*h - 7*h - 220 = 0. Let w = h - f. Solve -3*m + 4 = -3*p - 5, 0 = -w*p - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q - 21. Let s = 533 - 530. Give l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/67 and -0.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21167161 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -26*k + 444. Is m(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(21\/(-36))*(39\/(-9))\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**2 + 1\/28*h**4 + 0*h**3 + 0 - 3\/140*h**5 + 124*h. Solve y(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 5, 1\/33, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4491232876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4230255 decades?\nAnswer: 4.230255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3, -24 in decreasing order.\nAnswer: 3, 2\/7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16*((-27)\/(-6))\/(-3). Suppose 0 = -4*v - 4*f + p, f + 0 + 14 = 4*v. Solve -3*h + 5*z + 3 = v, 1 = h - 3*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let i(f) = 8*f - 1. Suppose 2*o = -v + 1, 5*v + 4*o - 3 = 2. What is v*i(n) - y(n)?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5732.688 * -0.2.\nAnswer: -1146.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1078.8 and 0.3.\nAnswer: -1078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b - 6. Let o be n(-4). Suppose 422 = f + 4*r, 3*f + 1114 = 2*r + 2268. Calculate the greatest common factor of f and o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3282544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -347*l**5 + 93*l**4 - 1480*l**3 + 465486617*l**2.\nAnswer: -20820*l**2 + 2232*l - 8880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -40. Let c(f) = -8*f**2 + 15 + o*f**2 + 11*f + 0*f**2. Let z be c(12). Solve g - 1 = z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 315882*k + 2211160. Give p(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 15 = 0. Let -m - g + m**2 - m**3 + 2 + 2*m**3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z**2 + 7*z + 36. Let f(w) = -6*w**2 - 3*w - 18. Let r be 574\/(-196) + -6 - ((-15)\/42)\/(-5). Determine r*f(a) - 4*y(a).\nAnswer: 2*a**2 - a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5212*c**2 - 2*c + 829 wrt c?\nAnswer: 10424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0521 and -5.\nAnswer: 0.2605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5 and -47\/1942050.\nAnswer: 1942050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9162*q**3 - 24017*q**3 + 14857*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574779 is divided by 114907?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-2))\/(-1)*(4154\/(-93))\/67?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656527800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(5\/2)*(w\/(w**0\/w*w)*w)**(-1\/34) assuming w is positive.\nAnswer: w**(-89\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7804 + 9149. List the prime factors of u.\nAnswer: 3, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16.46 and 0.4.\nAnswer: -16.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, 1 a, and 1 y when four letters picked without replacement from {a: 3, y: 2, i: 5, q: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 103709815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 3 = -b, 21 = 5*h + 3*b. Let p = 12 + h. Let m = p + 20. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2668.27? (a) 2 (b) 0.7 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -2\/9 (c) 0.02773 (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100 + 110?\nAnswer: 1010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98a63 (base 12) to base 9.\nAnswer: -337033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 31 = -6*c + 3*g, 0 = 2*c + 2*g - 56. Differentiate -77 + 131*p**3 - 49 + c wrt p.\nAnswer: 393*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157\/9 at most -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -258134, -2064898, -6968908, -16518788, -32263162, -55750654?\n\"Answer: -258104*w**3 + w**2 - 39*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 53 = -35. Suppose -x - 3*x = 120. Let k = y + x. What is the remainder when 40 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756486*l + 756443*l = -2666 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(17) - sqrt(833)) + -5)*-2)**2*3.\nAnswer: 6480*sqrt(17) + 68796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)\/b**(7\/3))**(-5\/11) assuming b is positive.\nAnswer: b**(25\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 22*f**2 - 124*f + 68. Calculate j(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127 - 3?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(363))**2*3.\nAnswer: 132*sqrt(3) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:35 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 86, 97, 104?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713293 to the power of 1\/2, to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000117488 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 144\/(-20) - ((-14)\/(-5) + -3). Let x = i - -17. Let m = 3 + 35. Calculate the remainder when m is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:17 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**3 + 12*a - 12*a.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 141 - 11)*(298*y**3 - 197*y**3 + 454*y**3).\nAnswer: -80475*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2563 is divided by 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 782 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13748 is divided by 859.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 33 = 15. Let b = -10 + z. Let u = 35 + b. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -260?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/906 and 61\/2253?\nAnswer: 680406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 356 + -351. Let 15*u + l*u**3 + 14 - 40*u + 16 + 0*u - 10*u**2 = 0. Calculate u.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -5*b**3\/3 - 41*b**2\/2 - 5*b - 26. Let p be v(-8). Solve 2*t = -6, -u = 4*u - p*t - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78735\/(-10498)*(-4)\/26.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**9\/5040 + j**7\/840 - 5*j**4\/12 + 2*j. Let s(b) be the third derivative of o(b). Find the third derivative of s(l) wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 2*f - 16. Calculate h(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 21, 2, -25, -60?\n\"Answer: -4*d**2 + d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 11) to base 12.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6753 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 60*a = 7*b + 240, 5*b = -48*a + 52*a - 80 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w - 1. Which is the nearest to w? (a) 0.5 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 30 = -72 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1939.61 + -10.61. Let w = -1928.998881 + k. What is w rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 160 = p, 5*u = -3*p + 264. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o - 27. Let t be p(6). Find the common denominator of -22\/7 and (-145)\/t*1*6\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1271.\nAnswer: -381.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - 1816*k**3 + 2*k**2 + 1 - k + 2224*k**3 + 2 to v*k**3 + h + q*k**2 + y*k + u*k**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7990\/4*28\/(2 - -5). What is the highest common divisor of 340 and l?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9*m + 28. Calculate the lowest common multiple of m and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 97, 4578, 16789, 40594, 79857, 138442, 220213?\n\"Answer: 644*q**3 + q**2 - 30*q - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1213 divide 16108124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 498 = 5*j, 2*j + 0*d = d + 199. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 8. Let s(w) = -5*w - 7. Let t be (16\/6)\/(-1)*(-9)\/6. Let r = -10 + t. Calculate r*h(z) + 7*s(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 5}. What is prob of sequence ffn?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 5*w - 5. Let u(v) = -3*v**2 + 6*v + 6. What is -5*u(p) - 6*z(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -30948180?\nAnswer: -30948184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 times -77?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 5 in increasing order.\nAnswer: -9, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -721 - -8641\/12. Find the common denominator of -19\/18 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 + j**3 + 3*j**3 + (0*j**2 + 3*j**2 - j**2)*(5*j + 21 - 21) + 4*j**3 - 4*j**2 + 4*j**2 + (j + 0*j + 3*j)*(5*j + 3*j**2 - 5*j).\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 70417 divided by -168\nAnswer: -70417\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10498 divided by 2524.\nAnswer: -5249\/1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 3, u: 4, a: 5, d: 1}. Give prob of picking 1 n, 2 u, and 1 d.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 22 (b) -1\/3 (c) -4.2 (d) -4\/9 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5)*z)\/z**(5\/2) assuming z is positive.\nAnswer: z**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -8)\/(3 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2180185.4*-0.3.\nAnswer: 654055.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) 0.4 (c) 0.2 (d) -0.2 (e) -1402.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6812*h**3*z**3 - 3*h**2*z**3 - h**2 - 2*h*z**2 + 49*h*z wrt h.\nAnswer: 40872*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1167*m + 8503 = -1156*m. What is the remainder when m is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 3.5\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*g - 4*o, -4*o - 17 = -5. Let b be 122\/g*(-4 + 5). Let x = 70 - b. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Calculate the remainder when 22 is divided by ((-6 - r) + 1)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.18, -3\/2, 0.09, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 168*q. Let r(f) = 5*f. Give m(r(t)).\nAnswer: 840*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1731038 by -173.\nAnswer: -10006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65489112, -130978226, -196467340?\nAnswer: -261956454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404984 = 5*w - 4*x - 0*x, -5*w - 4*x - 405016 = 0. What is w rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37701 = 1694*b - 309*b - 15134 + 16825 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 + 13*m - 28. Determine y(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56*(-43)\/(-9030))\/(21\/45).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2534385 * -3\nAnswer: -7603155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/5, -0.4, -9, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1171*s**2 - 37*s - 3. What is the hundreds digit of n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 62. Let c = -7 + z. Let v = -21 - c. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-336)\/84 + (-1)\/1 + 423. What is the highest common factor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 14. Let v be h\/4 - 6\/2. Suppose -3*z + 3*u + 21 = 0, -5*u = 3*z - 2*u - 3. Which is the closest to -0.2? (a) -3 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -535888058 divided by -1\nAnswer: 535888058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 74452 and 312.\nAnswer: 74764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -417, -482, -545, -606, -665, -722?\n\"Answer: p**2 - 68*p - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 + 2969*c**4 + 3027*c**3 - 169145*c**2 - 430850*c + 594000 = 0.\nAnswer: -5, 1, 8, 2970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 4*m**2 - 347*m + 67. Let f be b(21). Solve -72*p + 83 + f = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -160. List the prime factors of (-3 - -69) + 4 - z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -13*h + 2\/39*h**3 + 0 + 0*h**2 - 1\/78*h**4. Factor z(l).\nAnswer: -2*l*(l - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*x + 2*x - 2*x)*(3*x - x + 2*x) + (-4*x + 6*x - x)*(-3*x + 3*x - 19*x) to the form m*x**2 + q*x + h and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + d - d + d)*(3419*d**3 - 6265*d**3 + 3359*d**3).\nAnswer: 513*d**4 + 1026*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 60. Let s be o(23). Let w(p) = 16*p - 8*p - s*p. Let f be w(5). Which is the second biggest value? (a) 0.5 (b) 10 (c) 0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200223 is divided by 232.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 603372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/16)\/(77\/22).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3582289.099987 - -3582293. Let a = j + -3.9. What is a rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by 2?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:00 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 979729313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129425051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053112 (base 7) in base 11?\nAnswer: -300447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*i = -25, 4*h + 5*i - 21 = 3. Let s = h + -3\/4. Let u = 17 - 12. Sort -2, u, s in decreasing order.\nAnswer: u, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:18 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -16*k**5 - 2128*k**4 + 12*k**3 + 1600*k**2 + 532*k = 0.\nAnswer: -133, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1*3)**2 - (sqrt(325) - (-5 + (sqrt(325) - (sqrt(325)*2)**2) - sqrt(325))).\nAnswer: -5*sqrt(13) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 119 = -5*q, -3*q + 6 = c + 91. Suppose -2*h + 0*h + 78 = -y, -5*h + 217 = 3*y. Let f = h + q. Calculate the remainder when 52 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33992.18 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/88096743?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*x**2 - 7*x**2 + 8*x**2 + (x + x - 3*x)*(3*x - 2*x + x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:05 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -24432531?\nAnswer: 24432524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 93.9. Is 84 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 17 - 33 = 50 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -289 divided by -17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 24 = 2*y + 3*y, -v + 4*y = 17. Is 24 a factor of 35*(54\/40 + v\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -6*w**5 + 112*w**4 - 66*w**3 - 112*w**2 + 72*w = 0.\nAnswer: -1, 0, 2\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26583187*d**2*w - 2*d*w + d + 1458*w + 3172 wrt d?\nAnswer: -53166374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*q - 6 = 0, -3*x - 4*q + 16 = x. Calculate the remainder when x + 4 + (-60)\/(-3) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -772, -1158, -1544, -1930, -2316?\nAnswer: -2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 times 0.48?\nAnswer: -125.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, -10821, 2.\nAnswer: -10821, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11\/(b*b**11)*(b**(-3)*b)**33 assuming b is positive.\nAnswer: b**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6549 - -13552291.\nAnswer: 13552291.6549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**3 - 3*v**2 + 3*v + 6. Let g(l) = 6*l**3 - 4*l**2 + 4*l + 7. Calculate -3*g(z) + 4*s(z).\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1122*d**3 - 1114*d**3 + 14*d**2 + 3*d + 1 + 3*d - 5*d - 2*d**2 to i*d**3 + a*d**2 + p + z*d and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)\/n**(-7))\/(n**1\/n)**(32\/7) assuming n is positive.\nAnswer: n**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 416, 641, 874, 1115, 1364, 1621?\nAnswer: 1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808020.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -401 + 405. Suppose 33 = -w*g + 53. Let x = 31 - -2. Solve 17 = g*m + 2*k, -4*m + 3 = -4*k - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 2*i - 6*i + i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 59321*y**2 - 30*y + 32. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Let c = 2 + -2. Let x = 32422.5 - 32422. What is the closest to c in x, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34c6 (base 16) in base 15?\nAnswer: -400a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -2\/5, -1\/4, 21.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29209384, 2.\nAnswer: -29209384, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108119\/629 + -2922\/17. Is k at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052959 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*k - 14736 + 14424 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 l when three letters picked without replacement from {q: 3, l: 2, p: 10}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/3 - 318438*n + 955320 = 0. Calculate n.\nAnswer: -477660, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.598 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 14*d + 17. Let o be m(15). Suppose -o*q = 2*p - 70, -q + 0*p + 3*p + 43 = 0. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1538)\/(-2307)*((-57)\/(-2) - 3)*(-2 + 1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Suppose 4*n + 3 = n. Let s(t) = t**2 - t + 1. Let l(u) = n*r(u) + s(u). Let q(i) = 3*i. Give q(l(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -29*f + 141. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let k(m) be the first derivative of 0*m + 1\/2*m**2 - 6. Determine k(v(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(1152))\/(sqrt(27)\/sqrt(3)*-6))**2.\nAnswer: 800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/120 + f**5\/30 + f**4\/12 - 3*f**2 - 32*f. Let h(d) = -d**3 + 2*d**2 + d. Let c(v) = 3*h(v) - 2*i(v). Factor c(r).\nAnswer: -r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 8:06 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) - 3*sqrt(242)) + sqrt(8)\/(sqrt(4)*3).\nAnswer: -65*sqrt(2)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)\/u)\/u*u**(1\/2))\/(u**(-2\/9)\/u**4)*((u**(-2\/7)*u)\/u*u*u*u*u**(2\/15)*u)\/((u\/u**(-3))\/(u*u*u\/(u\/u**(-2\/5))*u)) assuming u is positive.\nAnswer: u**(601\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*i**2 + 811*i**2 - 209*i**2 - 216*i**2 + 151*i - 199*i**2.\nAnswer: -13*i**2 + 151*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 730 or 925?\nAnswer: 730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/10)\/(20\/(-4))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -11. Let y = t + 9. Calculate the greatest common divisor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1978198 by 989099.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68985 by 2555.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229080491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 8*m**2 + 4. Let j be h(-8). Let w = -233 - -1290. Suppose -j*o = -w - 1223. What is o rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-477240)\/164)\/(1\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 84*g - 231. Let d be i(-3). Let w = 32 + -22. Suppose 5*s - 80 = -w*n + 5*n, n - d = -2*s. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002108555 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 160*k**2 + 316*k + 60. What is q(158)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62053816, -62053818, -62053820, -62053822, -62053824, -62053826?\nAnswer: -62053828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 856, 1407, 1960, 2515, 3072, 3631?\nAnswer: 4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/23)*u\/(u*u\/(u**41*u))*u)**(-43) assuming u is positive.\nAnswer: u**(-42570\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/615538 and -129\/770.\nAnswer: 3077690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*p = -26, 5*p - 11 = -3*h + 28. Suppose 0*u + 8 = 4*q - u, -3*u = -q + h. Let i be -1*((-3 - q) + -1). Solve 1 + i = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*v - 19. Find the common denominator of 6\/v*(-78)\/(-12) and -97\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 4*i - 22. Let d be y(-9). Let f(x) = d + x**3 + 18*x**2 - 2 + 21*x + 4*x**2 - 5. Is f(-21) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -689 + 997. List the prime factors of c.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2. Let l = -99 - -106. Let d(v) = -44*v + 26*v - l + 12*v. Determine k(d(o)).\nAnswer: -108*o**2 - 252*o - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-26)\/k**(-20) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43840319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 - 11 + 0*b**2 + 2*b**2 + 13 to the form u*b**3 + a*b**2 + x*b + c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 179787.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 + 7*v - 5. Give j(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - y + 2. Let p(k) = k - 5. Let f be p(11). Suppose -g = f*g. Give j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 15*d**7\/7 - 6*d**3 - 23. What is the third derivative of q(m) wrt m?\nAnswer: 1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/78 - 23\/6. Let t = 9 + w. Solve -c = 3 - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(121) + (-4*sqrt(121) - sqrt(121))) - sqrt(121) - (sqrt(121) + sqrt(121) + 3*sqrt(121)*-2))\/(2*(-1*sqrt(176) + sqrt(396)*1)).\nAnswer: -13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5918 is divided by 123.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*k**4 - k**3 + 85*k**2 - 3*k wrt k.\nAnswer: -3096*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 25. List the prime factors of i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 8.2 (c) 19 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -2\/521?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 0 - (150\/2)\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (371\/(-2067))\/((-14)\/24)*9\/2?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2807350 and 92550?\nAnswer: 8422050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = 5*g - 3*g, 2*g + 12 = 4*c. Solve 12*k - 5*b + 16 = 15*k, 8 = g*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-30)\/3*(10 - 23)\/(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x + 7. Let u(s) = 2*s - 3. Let o be u(5). Let d be m(o). Let l be (14\/d)\/((-2)\/(-10)). Put l, -1, 8 in decreasing order.\nAnswer: 8, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggi when three letters picked without replacement from wwmwigmwimwwiw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - ((-65)\/(-10) - 3). Suppose -q = 2*u - u + 7, u + 3*q + 5 = 0. Let k be 20\/u + 3 + 0. What is the nearest to k in -5, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510683759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose -b*r = -r. Suppose 5*m - 4*x = 20, 5*x - 2*x = 4*m - 16. Solve r = n - 2*n + m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnwm when four letters picked without replacement from mnmlwvwmmwwvmwvn?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002855604 rounded to 6 decimal places?\nAnswer: 0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -169, -186, -227, -304, -429, -614?\n\"Answer: -2*y**3 - 3*y - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 30, 48, 84, 144, 234, 360?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055737 rounded to four decimal places?\nAnswer: -0.0557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = c - 18 + 1, 5*s - 3*c = 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - (1 - 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*q + 432 = 199*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 2*t - t)*(-1 - 5 + 4)*(-160*t + 213*t - 119*t) + 3447*t - 3447*t + 159*t**2 to the form n + f*t + q*t**2 and give q.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231*a**3*s**2 - 2*a**3*s - 7*a**3 + a**2 wrt s?\nAnswer: 462*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 - 6 = 0. Let w(r) = -r**3 + r**2 + r. Let b(y) = -15*y**4 - 5*y**3 + 2*y**2 - 4*y. Let k(u) = g*b(u) + 4*w(u). Determine f, given that k(f) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 26*o**3 + 7*o**3 + 17*o**3)*(2*o + 2*o + 0*o) to the form g*o**3 + r*o**2 + q + v*o**4 + w*o and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2691*c**2. Let i(v) = 50*v**2. What is z(i(d))?\nAnswer: 6727500*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/5, 8, 11, -2\/15, -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v + 4*v + v)*(6 - 3 - 2) - 90035 + 90035 + 827*v)*(-v**3 - 3*v + 3*v)*(2 - 2 - 2).\nAnswer: 1658*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, e: 3, s: 2}. Give prob of picking 1 s, 2 e, and 1 a.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*d - 156*d - 8*d)*(7*d - 6*d + 6*d) + (-d + 0*d - d)*(-2*d + 2*d - 2*d) + (-2 - 2 + 3)*(-4*d - d**2 + 4*d) as n + r*d + t*d**2 and give t.\nAnswer: -1213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 28. Let b = 15.8 - h. Is b at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h - 28*h = -2*h - 1008 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1512233 and 2015.\nAnswer: 1514248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Suppose -5*r - 41 = k + 3*k, -5*k - 20 = h. List the prime factors of ((-4)\/6)\/(r\/135).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n + 7 - 3 - 4 + 5. Let w = 2 + -5. Let s(a) = 6*a - 4. Give w*r(d) - 4*s(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = r - 2*z + 3, 0 = 4*z - 20. Let x = 2 - r. Let v = x + 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + -3200?\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**2 - r**2 + (r + r - r)*(-156*r - 151 + 151).\nAnswer: -158*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:32 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24734, 49620, 74506?\nAnswer: 99392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:11 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*z + 33*z - 2752. Suppose -62 = 342*v - z*v. Calculate the remainder when 64 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (8\/(-1))\/((-1)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.4905 millennia in decades?\nAnswer: 4449.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/2 + 535891*d + 3215337\/2 = 0. Calculate d.\nAnswer: -1071779, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 3390*f**2 - 662493*f + 659100.\nAnswer: 3*(f - 169)*(f - 1)*(f + 1300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.186*-492.\nAnswer: 4027.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4 + 54*c**3 - 1689*c**2 - 1836*c + 3468 = 0.\nAnswer: -34, -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + 881*z**2 - 30 - 33 as c*z**2 + l + r*z and give c.\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 12. Let a(n) = -4*n - 5. Calculate -5*a(x) - 2*j(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6565 is divided by 1364.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - 1 - 1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and -67\/940.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1412)\/(-3530))\/((-86)\/(-10)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/60)\/((-2)\/4). Let f = -6.7 + 7. Which is the biggest value? (a) 3 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35976267 divided by 1411\nAnswer: -25497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325758 is divided by 162179.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from {c: 3, n: 6, g: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.17676 rounded to one dp?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705110 rounded to the nearest ten thousand?\nAnswer: 5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 178, 371, 632, 955, 1334, 1763, 2236?\n\"Answer: -b**3 + 43*b**2 - 3*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3955 divided by -5?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 7*f + 44. Determine p(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240322018 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*u + 16069 = -21122 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 459 - 22031\/48. Let m(c) be the third derivative of 1\/240*c**5 + d*c**4 + 0*c**3 + c**2 + 0*c + 0 - 1\/480*c**6. Factor m(s).\nAnswer: -s*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1299415 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28852519247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1805 - 27 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 14897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159511782 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.866 + 12.266. What is the second smallest value in -0.0312, s, -0.2?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f - 20*f - 69*f + 112*f - 17*f.\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 125*o**3 + 4*o**2 - 500*o.\nAnswer: -o*(o - 125)*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625328 is divided by 310?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 338 + -119. Let r = -156 + a. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6. Suppose -4*n = -2*u - 0*u - 6, 0 = u - f. Solve 0*a + n*a - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 30*v - 488. Calculate g(12).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49201 is divided by 24479?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6086 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 79*z**3 + 303*z**2 - 225*z.\nAnswer: z*(z - 75)*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - 1) - (152 - (160 + -23))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 53.3. Let b = 3.41 + g. What is b rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 + 34 = 5*d, 4*t + 3 = -5*d. Let j be -1*(5 + 1)\/2. Sort t, j, 2 in decreasing order.\nAnswer: 2, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-49))\/(6\/21). Solve x*t + 3*t - 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 28*v**2 + 292*v + 260 = 0. Calculate v.\nAnswer: -5, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 32 - 132. Suppose x = 4*m - 12. Suppose 2*j - m = 8. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*-4*(((sqrt(363)*2 + 0)**2 - sqrt(363)) + 2 + (sqrt(363) - (1 + sqrt(363)))).\nAnswer: -176*sqrt(3) + 23251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2486374, -2486381, -2486388?\nAnswer: -2486395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:45 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 30303576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/13, 1, 3\/5, -38, -1 in increasing order.\nAnswer: -38, -1, 3\/5, 10\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64541 and 1330.\nAnswer: 85839530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 66\/7, -4, -3.\nAnswer: -4, -3, -1, -0.3, 66\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 9. Is (-1)\/((1\/(-26))\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 64*q = -435 + 307, 8 = -4*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + 1.6. Let k = 179 - 80. Let u = k - 99.2. What is the closest to u in 0, a, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419416 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83524, -81907, -80290, -78673, -77056?\n\"Answer: 1617*i - 85141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29308091 divided by 1.\nAnswer: -29308091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*h - 2*h - 3 - 10*h**3.\nAnswer: -10*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o + 2. Suppose 8 - 2 = -3*w. Let g be r(w). Suppose -3*c - 26 = -5*i, -11 = -4*i + c + 7. Solve -2*p = -g + 6, -i*z + 1 = p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**5 - 17*h**5 - 9*h + 160*h**4 + 47*h**5 - 15*h**5 + 0 + 5 wrt h?\nAnswer: -40*h**3 + 1920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1202, 1236, 1284, 1352, 1446, 1572, 1736, 1944?\nAnswer: 2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46396.9479 + -46393. Let k = 0.0779 - v. Let m = 3.2 + k. What is m rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2179, 4366, 6553, 8740?\nAnswer: 10927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 6\/11, -0.3, 1\/6, 1\/3 in descending order.\nAnswer: 2\/3, 6\/11, 1\/3, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111795?\nAnswer: 3, 5, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5346989 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862171166 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-873.1.\nAnswer: -87.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2 - 6*w - 5. Let j(r) be the first derivative of -r - 1\/2*r**2 - 1\/3*r**3 + 33. Determine d(f) - 5*j(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puu when three letters picked without replacement from uuppcuupu.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32040020 (base 6) to base 12\nAnswer: 393010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-24) - (-13)\/2. Solve k - 5 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 1, 3 in increasing order.\nAnswer: 1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 1, r: 1, y: 2, b: 1, l: 8}. Give prob of sequence rlh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2039866 divided by -1019933.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 16*l**2 - 14*l - 19. Let c(m) = -2*m**3 - 32*m**2 - 24*m - 41. Let b(i) = -3*c(i) + 5*v(i). What is b(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 15024.\nAnswer: 43\/7512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 3*z. Let q be -4*((-2)\/5 - (-8)\/(-80)). Let h(l) = 4*l + 9*l - 169*l**2 + 1 + 95*l**q + 95*l**2. Give -2*h(n) + 9*m(n).\nAnswer: 3*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 29117579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-7)\/10))\/((-4)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 945635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u + 14*u + 8*u**2)*(2*u**2 - 5*u**2 + 2*u**2).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 2. Let r be n(2). Factor 1\/2*j + 1\/4*j**r + 1\/4.\nAnswer: (j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -6*w. Let p be -6*(29\/15 - w). Determine h, given that -3\/5*h**3 - 1\/5*h**4 + 1\/5*h**2 + 1\/5*h + p*h**5 + 0 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2 + 8460*d - 22321782 = 0.\nAnswer: -6069, 1839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -200, -4, 100 in decreasing order.\nAnswer: 100, 2, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -4.5, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-148)\/333 + (-7632)\/(-405))*(-4 + (-2 - -1)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7 and -3574480657?\nAnswer: 3574480656.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3966.84 and -16779.\nAnswer: -12812.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 7*p**2 - 4*p + 12. Suppose 23 = 4*g - 1. Is v(g) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 74*c**3 - 2*c**4 + 25*c**3 + 2*c - 102*c**3 + 2 as k*c**3 + b*c**2 + p*c + l*c**4 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d - 8*d - 5*d)*(-4*d**3 - 3*d**3 + 6*d**3) + (-4*d**3 + 3*d**3 + 3*d**3)*(6*d + 12*d + 2*d) + 4*d + 2*d**4 - 4*d.\nAnswer: 66*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 88575553.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y**3 + 2*y**2 - 1. Let o be 4\/(-10) + 12\/(-20). Does 8 divide d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*f - 0*f - 32, -4 = 2*o. What are the prime factors of f + 0\/(0 + 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/11 (c) -2 (d) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 170 - 76 + 28 + 99 - a + 165. Is d(6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 35, 101, 225, 425, 719, 1125, 1661?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1061421 (base 7) to base 5.\nAnswer: -13220414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -112, -173?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05777 and -7?\nAnswer: -0.40439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 5. Let g(w) be the first derivative of 1\/3*w**3 + s + 0*w + 0*w**2. Let k(m) = -2*m. Give k(g(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -19. Let t(b) = b - 3. Let o be t(7). Let m be -5*(-4 - 30\/(-8)). What is the closest to g in m, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 26*a**3 + 4. Let p(y) = 11*y + 49*y + 50*y - 151*y + 45*y. What is q(p(r))?\nAnswer: 1248*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3182*x + 3203*x - 6385*x - 39597*x**2 in the form l*x + g*x**2 + d and give g.\nAnswer: -39597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 4, q: 1, g: 2}. What is prob of sequence ylgl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525062 plus -209.29668?\nAnswer: 524852.70332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from dtrtdtddddddddd.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 176, 391, 692, 1079, 1552, 2111?\nAnswer: 2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146334 - -146334. Let a(w) = w**2 + 2*w - 4. Let p be a(-4). Solve 3*y + 35 = -p*x, -x - y - y - 15 = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 17*x + 10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 6 = -11*x. Suppose x*b = 2*j + 3 + 62, j + 52 = -5*b. Let n = j - -39. Which is smaller: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115323 (base 6) to base 8\nAnswer: 24043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*((2 - 2 + 2*z)*(0*z**3 + 3*z**3 - 5*z**3) - 2*z**4 + 0*z**4 + 0*z**4 - 36*z**4 + 5*z**4 + 11*z**4).\nAnswer: -104*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - c = -3, -3*c - 5 = 4*f - 19. Put -1\/3, f, 0.2 in increasing order.\nAnswer: -1\/3, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**3\/3 + 8*m**2 + 52*m + 63. Let l be d(-6). Let h(n) = -2*n + 4. Let y(r) = -5*r + 11. What is l*h(z) + 3*y(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68141.38ml?\nAnswer: 68.14138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163943886.\nAnswer: 2, 7, 83138849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/3719 + -182225\/22314. Let b = -7219\/760 - 12\/95. Find the common denominator of m and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*z + 6, -5*z - 540 = -2*v + 541 - 1085 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 2, o: 8}. Give prob of picking 1 v, 1 o, and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -5)*(-4 - (4 - 3)). Suppose 51 = k*m + 36. Solve m*y + 2*y + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.04.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-3*(-1434)\/(-3346).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.61 - -1.31. Let z = t - -9. Which is the closest to 0? (a) 5 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5755656 nanometers to kilometers.\nAnswer: 0.0000000000005755656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = 4*d - 5*m, -d = -42*m + 38*m + 120. Sort 9, -5, d in increasing order.\nAnswer: d, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b - 8*b + 5 + 8 - 4*b**2 - 1 + 3*b**2 wrt b.\nAnswer: -2*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4057446277 to the nearest integer?\nAnswer: 63698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211 or 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-3 + -1)\/(-1). Suppose 3*c = 3*a + 9, 0*c - 2*c + 18 = 2*a. Suppose -c - j = -4*q. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -14*h + 14. Let l(w) be the first derivative of -2*w**2 - h - 25\/12*w**3 - w - 1\/24*w**6 - 19\/16*w**4 - 7\/20*w**5. Factor l(p).\nAnswer: -(p + 1)**3*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*l - 18*l - 8010 = -205*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -902 > -146039\/162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 187, 183, 177, 169, 159?\n\"Answer: -z**2 - z + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 26*l**2 - 2587*l - 2955. Determine n(100).\nAnswer: -1655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*1*6)**2 - (-1 + 1*sqrt(325)).\nAnswer: -5*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47951\/28 + -1716. What is the common denominator of u and -33\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c - 4*y, 2*y + 11 = -c - 0*y. Suppose t + 3*t = -d + 12, 3*t - 22 = -4*d. Let s be 4\/12*1647\/305 - 126\/45. Sort 6, d, s, c in decreasing order.\nAnswer: 6, d, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 11 = -2*c + a, -2*c - 2*a = -30. Solve -5*f = 3*y + c, -4*f - 16 = 6*y - 2*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and 23\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2 - 4*g + 3. Let n be d(-8). Suppose -4*z - n = -7*z. Suppose -22 - z = -5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 15 = -3*h, s + 9 = 3*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-13.77.\nAnswer: 1.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(15\/(-12)))\/(-3). Let r = -13727 - -13729. Let n = -6.7 - -7. Sort n, r, u, 1.\nAnswer: u, n, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 1:58 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 - 3617862*s + 1090743787587 = 0.\nAnswer: 602977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190691 + 26314999\/138. Let t = s + -3\/46. Suppose 4*a - 29 = 2*x - a, 2*a = x + 15. Find the common denominator of t and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -31*g**2 + 980*g + 388. What is m(32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*u + 46996 = 59492 for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327075.2ml in litres?\nAnswer: 327.0752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.2. Let a = 41 + -13. Let u be 2\/a*(6 + -2). What is the third smallest value in u, -4, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 196438349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/7 + 3335116*y\/7 + 1390374841682\/7 = 0. What is y?\nAnswer: -833779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 62 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4\/7, -0.2, 6\/11, 4\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1327465*n**2 - 3*n + 217537 wrt n?\nAnswer: -2654930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308.6261ns to milliseconds.\nAnswer: 0.0003086261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548442 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = 30*j + 505 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 808*a. Let i(q) = -19109*q**2. What is k(i(t))?\nAnswer: -15440072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 9) in base 15?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v**2 - 3)*(-2*v**2 + 6*v**2 - 3*v**2) + 4 - 4 + 2 - 3*v**4.\nAnswer: -4*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 0 + 3 - 9 + 19)*(-u + 2*u - 6*u) to j*u + h and give j.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h**2 - h - 5. Let l(v) = 3 - v + 2*v + 11*v**2 + 1. Let i(w) = 6*l(w) + 5*q(w). What is the units digit of i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196264*c*h**5 + 124*c*h**2 + 832537*c*h + 25*c wrt h.\nAnswer: 3925280*c*h**3 + 248*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*k - 39 - 360, -3*k + 3*n + 297 = 0. Factor k*r - 112 + 5*r**2 - 4*r**3 - 6*r**2 - 11*r**2.\nAnswer: -4*(r - 2)**2*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749 + -176.454?\nAnswer: 9572.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let b(i) = -i - 26. Let g(r) = 2*r + 60. Let y(p) = 5*b(p) + 2*g(p). Give 5*m(v) - y(v).\nAnswer: -4*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 2. Let q(b) = -6*b. What is k(q(j))?\nAnswer: -24*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -92, -251, -556, -1055, -1796, -2827, -4196?\n\"Answer: -8*s**3 - s**2 - 2*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 + 15057996*b\/5 - 54208980.\nAnswer: 3*(b - 18)*(b + 5019350)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2324)\/(-387) + -6)*(5 + (-23 - -27))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - w + 26, w = -5*d + 4*w + 43. What is the remainder when d is divided by 1 - -2 - (-12 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 57, 77, 117, 183, 281, 417, 597?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15071146 + -2?\nAnswer: -15071148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1650*v**3 - 6*v**2 - 3*v - 7. Let i(j) = -1648*j**3 + 8*j**2 + 4*j + 9. Calculate 3*i(x) + 4*n(x).\nAnswer: 1656*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 53. Let f = r - -31. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 18 - -8) + (2 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/13 - 14*m**2\/13 - 16*m\/13 = 0. Calculate m.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1012.58 to the nearest 10.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 11*r + 27. Let a be v(6). Put 24, a, -0.1 in ascending order.\nAnswer: a, -0.1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-303*s + 152*s - 49 - 10*s**2 + 153*s)*(3 - 1 - 4).\nAnswer: 20*s**2 - 4*s + 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10558962 is divided by 5279478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 233508797 <= 233508796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121 in 2\/3, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -220351300 to the nearest 1000000.\nAnswer: -220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1431 divided by 4.\nAnswer: -1431\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -32*m**3 - 11*m**2 + 27*m + 119. Is l(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-nine fifths of a millennium?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9548916*v**3 - 978*v**2 + 954*v?\nAnswer: 57293496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135.396 - 138.4. Let q = -0.04 + 3.04. Let b = q + i. What is b rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*f**2 - 37*f**2 - 2222*f**2 + (2 - 2 + f)*(3*f - 5*f + f) in the form s + b*f**2 + o*f and give b.\nAnswer: -2387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147017 - 147017.05. Let f = 0.3 - 0.1. Put f, b, 4 in ascending order.\nAnswer: b, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006526 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -88, 654 in decreasing order.\nAnswer: 654, 2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/360 - n**5\/60 + n**4\/24 - 8*n**3 + 29. Let i(s) be the third derivative of z(s). Factor i(g).\nAnswer: (g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (329\/1974)\/((-2)\/3 - 1\/9)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.91 - -4.11. What is the nearest to o in 0.3, -2\/3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81501546 divided by 3881026?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + 42*r - 120. Calculate h(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7cee3 (base 15) in base 2?\nAnswer: -1100001001110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 12 - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m - 1. Let w be g(3). Suppose -4 = -l + w*l. Suppose 2*n = -2*n. Which is the nearest to n? (a) -0.3 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/5)\/(912\/570))\/((-13)\/((-390)\/12)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 40 = 8. Calculate the highest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 14*a**2 + 33*a - 12. Determine w(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -30710.\nAnswer: 19\/15355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*l + 30, l = -3*l + 8. Suppose -11*f + q = 6. Let t(d) = -d**2 + 4*d - 8*d + f + 2. Determine t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - l**2 + 0*l**2)*(1367 - 472 - 491) as r*l**2 + z + d*l and give r.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 22 = -s. Let j(q) = -2*q. What is the units digit of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2024*l**3 - 793*l + 2.\nAnswer: 12144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-18) - (-1)\/(-6). Suppose 5 = -d*n - 4. Let t be (-7)\/2 - (-1)\/(-2). Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5*-1*-2. Which is the closest to z? (a) 4 (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41040303?\nAnswer: 3, 23, 41, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 117528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5047, -5051, -5055?\n\"Answer: -4*p - 5043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/(-7)*(6\/(-20))\/(1752\/(-2555)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 43. What are the prime factors of (105\/k - 4)*4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/20 and -33\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.28 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*291\/8536*32\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01354 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-3 + 7 - 14). Suppose -18*h + o*h + 9 = 0. Differentiate -6*d**h - 43 + 12 - 36*d**3 wrt d.\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 319*x**2 + 125 wrt x.\nAnswer: 638*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785242?\nAnswer: 2, 197, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*x + 5*p, 0 = x + 4*p + 2 + 3. Let d = 7.22 - 7. Let j = -0.02 + d. What is the second biggest value in x, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/5 + 13*x**4 - 338*x**3 + 4394*x**2 + 67*x. Factor g(k).\nAnswer: -4*(k - 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4 - 7*y**2 - 9*y + 13 - 3*y**3 + 1 + 4*y**3. Let f be g(8). Solve 2*n = -f*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990\/5610*50\/(-15).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 16. Solve 0 = -s - 2*o, -3*s + 0*s = -2*o - q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4970 > -4966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p + 2. What is z(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20853034?\nAnswer: 2, 73, 233, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10 and 83\/19812.\nAnswer: 99060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 4*m - 16, -8 = -2*m. Suppose i + 4 = h, -2*o - 3*o = 3*i - 113. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**8)*s**17*s\/s**(-2)*s**(-6\/7) assuming s is positive.\nAnswer: s**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29345, 58679, 88005, 117323, 146633?\n\"Answer: -4*v**2 + 29346*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 23*a**2 - 130*a.\nAnswer: -a*(a - 13)*(a - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*x - 177*x - 68620 = -731*x for x.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 74*j + 73*j - 17, -6 = -2*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/19, -5, -2\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 611 - 30931?\nAnswer: -30320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 - 8*q - 13. Let w be y(-6). Let b be w\/(-7 - -3 - -3). Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-4))\/((-1)\/80). Suppose 0*q = 5*q + 4*t - g, -2*q + 28 = 4*t. Suppose -b = 3*b - q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625*j + 229*j - 741*j + 289*j.\nAnswer: 1402*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4.1. Let j = a + -0.99. Let q = j + -4.91. Put 1, -0.4, q in increasing order.\nAnswer: q, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1143335*s**4 - 4*s**3 - 9*s**2 - 297241255*s?\nAnswer: 13720020*s**2 - 24*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9454483 or 0.3?\nAnswer: -9454483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -635, -639, -655, -689, -747, -835?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1843144.\nAnswer: 3\/1843144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 16262274\/210 - 6\/(-1) - 12\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/(84\/(-5061)). Let d = c - 9885\/164. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -532 (base 13) to base 11.\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.13, -1, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373903715 is divided by 2366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7211.\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142\/5355 - 4\/315. Let h = r - 47\/102. Put -2\/15, 1, h in decreasing order.\nAnswer: 1, -2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93327466*w**3 + 12*w**2 - 5002191?\nAnswer: -559964796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 29.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.5 - 28.4. Suppose -2*i - 10 = -7*i. What is the nearest to -1\/2 in c, i, 2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = 13*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -57*o + 17*o - 91*o. Sort 5, o, 3, 76.\nAnswer: o, 3, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 2:07 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3949, -3944, -3939?\nAnswer: -3934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 548\/2055*(-285)\/20?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (70 + (13 - 56))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (4 - (7 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*q - 0*q. Suppose -2*v - 5*k - 10 - q = 0, -k = 5. Solve -v = 2*w - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 29. Let a be c(-7). Suppose -o = -4*g + 8, -o + 4 = -2*g + 4*g. Solve g = -t + a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 + -182. Let g(x) = x**2 - x + 41. Calculate the remainder when g(q) is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 2. Let i(z) = -7 + m + 1 + 15*z. List the prime factors of i(20).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**5 - 70*m**4 - 360*m**3 - 80*m**2 + 1360*m + 1440 = 0.\nAnswer: -2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q = 35*q - 30200. Let c = 11511 + q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2240 and 13304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**12*(c*c**(-1\/3)\/c)\/(c\/(c**(-1)*c)) assuming c is positive.\nAnswer: c**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 652 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 10:39 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3 - z**2 + 3. Let s(q) be the first derivative of 4*q**2 - 19*q**2 + 7 - 13*q + 13*q. What is p(s(f))?\nAnswer: -900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12212021200221?\nAnswer: 12212021200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**1)\/x))**(1\/8)\/(x**2\/(x*(x**2*x*x)\/x)) assuming x is positive.\nAnswer: x**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6bb (base 13) to base 9.\nAnswer: -37670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/501546 and 26\/752319.\nAnswer: 1504638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 + p + 3. Let d(b) = -b**2 - 13*b + 343. Let l be d(13). Let g(x) = -13*x**2 - 2*x - 5. Calculate l*t(n) + 3*g(n).\nAnswer: -9*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*k + 3*y + 406, 2*k = 5*y + 159. What are the prime factors of k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8566, -16190, -23814, -31438?\n\"Answer: -7624*c - 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86468.1 and 9.\nAnswer: -778212.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {i: 4, f: 6, d: 6, m: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 14 + t**2 + 12 - 35 + 6*t**3 + 3*t**2 as o + n*t + w*t**2 + m*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -346*j + 4. Let d(i) = 173*i - 2. Let q = 6 - 9. Let u(w) = q*l(w) - 5*d(w). Is u(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -87\/5, -0.3, 0.1, -4 in descending order.\nAnswer: 0.2, 0.1, -0.3, -4, -87\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 25*c + 7*c - 70*c + 5*c. Let j(n) = -2*n**2. Determine j(h(v)).\nAnswer: -2178*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -3)*(1 + 1). Let q = l - 0. Factor -4*f**q - 3*f + 4 + 5*f**2 - f.\nAnswer: (f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43058729647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3*(-2)\/(-12)). Let s be (6\/(-8))\/(u\/(-8)). Let j(w) = w + 2. What is j(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 963157 a multiple of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 86 + 3?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -31. Solve o - 2*b + 5 = -3*b, -3*b + 10 = -y*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + (sqrt(117)*1 - sqrt(117)) - sqrt(117)) + sqrt(117))\/(sqrt(18)\/(sqrt(4)\/sqrt(2)))*3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1535392 + -931221. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 28*u**2 + 32*u - 3. Let v be r(29). Calculate the greatest common factor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 3297706.496?\nAnswer: 3297642.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 58 = 5*r, 25*r + 58 = 4*z + 28*r. What is the least common multiple of 108 and z?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3657838 divided by -4\nAnswer: -1828919\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*188\/(-24) - 39\/26. What is the biggest value in 6\/5, -0.3, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 1 + -4 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3)\/((-9)\/2). Solve -g + 3 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*x**2 - 132*x**2 - 130*x**2 + 388*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*w = -49 - 0, -4*w - 16 = -3*c. Let x(l) = -21 + l**2 - 9 - c*l + 32 + l. Give x(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1779*u**2 + 185*u + 11. Let p(r) = -3557*r**2 - 389*r - 21. Let n(m) = 9*o(m) + 4*p(m). What is the second derivative of n(t) wrt t?\nAnswer: 3566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410785 plus -46?\nAnswer: -410831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from pppooopnpoyoyqp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (16\/12 - 22\/3). Which is the nearest to 0.1? (a) -0.4 (b) 27 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 9*p**3 - p**3)*(-40 + 28 + 22)*(0 + 2 + 1) + 3*p**3 - p**3 + p - 3*p**3 + p**2.\nAnswer: 119*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**6\/15 + 8*p**4\/3 - 2867*p**3\/6 - 1603*p. Find the second derivative of m(u) wrt u.\nAnswer: -24*u**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7426566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000079658 rounded to seven decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f + 4 = 0. Let u(c) = c + 9. Let w be u(-9). Suppose 4*o + 2*s + 12 = 0, w = -3*o + 7*o - s + 12. Sort -2, o, f in increasing order.\nAnswer: f, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 16 = 4*q, -q + 1 = 3*w + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*r**5 - 3*r**4 + 53827*r**3 + 7*r**2 - 2*r + 468572 wrt r?\nAnswer: -600*r**2 - 72*r + 322962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10857631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by 22\nAnswer: 82\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657, -744, -829, -912, -993, -1072, -1149?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**28\/o)\/o*o*o\/o**(1\/10))\/(o**(-4)\/(o*o**12)))**(1\/18) assuming o is positive.\nAnswer: o**(449\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 11*a**2 - 27*a + 20. Let c be h(-5). Sort c, 0.2, -0.9, 2\/9, -3.\nAnswer: -3, -0.9, 0.2, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 - -6) + (1 - -58)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/2 + 7955361*h**2\/2 + 175019031*h\/2 + 962606667\/2.\nAnswer: -3*(h - 2651809)*(h + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 96.547838621404 and -0.04.\nAnswer: 96.507838621404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = -1425*o + 1480*o - 1104. Solve 0 = 23*s - o*s - 2*b + 12, 2*s - 2 = b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 - 364 - (-19 + -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 96530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 0*v**2 + 521*v**3 + 435 - 435 - 10*v.\nAnswer: 521*v**3 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 163109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x - 45641 - 33863 = -15094. What is the remainder when x is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -100. Suppose n = 3*h, 4*s = 5*h + 25 - 0. Calculate the highest common factor of s and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -1 (c) 3\/7 (d) -1\/7 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 8. Let v be p(-3). Let g(y) be the second derivative of -y**3\/3 - 3*y**2\/2 + y. Is g(v) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:52 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67252, 134500, 201758, 269038, 336352, 403712, 471130?\n\"Answer: 2*r**3 - 7*r**2 + 67255*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10652, 10588, 10530, 10478?\nAnswer: 10432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-12))\/(-1))\/(2*25\/180)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - 34*j + 73. Let y be w(3). Solve 5*k = -5*r - 20, 0 = -4*r - 3*k + y - 19 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11*1\/(-3))\/((-3)\/54*6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155 and -13.\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**6\/10 + 183*j**5\/20 - 1089*j**4\/4 + 4131*j**3\/2 + 19683*j**2 + 470*j - 4. Factor w(h).\nAnswer: -3*(h - 27)**2*(h - 9)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 89 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 30*h - 16. Let l be t(14). Suppose d + 2*d - 210 = 0. What is the remainder when d is divided by 423\/l - 6\/(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3 - (2 + -5)) + 80 + 1 + -133.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 14104*w + 49730704.\nAnswer: (w - 7052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8.499 + -1456540\nAnswer: -1456548.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487323 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 114029899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 25 = y, 4052*y - 4 = 4*k + 4056*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 201 = -5*l, t - 69 = -6*l + l. Suppose -10*f + 4 = t. Let o be 70\/90 - f\/18. Sort -4, 3, 4, o in ascending order.\nAnswer: -4, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Which is the third smallest value? (a) 6 (b) 685\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 200*p**5 + 743*p**3\/3 - 56. What is the third derivative of s(x) wrt x?\nAnswer: 24000*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 2\/3*n**3 + 27*n + 1\/12*n**4 + 2*n**2. Determine k, given that s(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/13 - 44*a - 2320\/13 = 0. Calculate a.\nAnswer: -4, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 + 5 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/18 + 14*d**3\/9 - 80*d**2 + 128*d - 10. Factor u(n).\nAnswer: 2*(n - 10)*(n + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/3)\/x))\/(x**(-1)*x)*(x\/x**1)\/x**(-1\/3))**(-2\/99) assuming x is positive.\nAnswer: x**(-16\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/7 + 404*t**2\/7 - 820*t\/7 + 412\/7.\nAnswer: 4*(t - 1)**2*(t + 103)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94658908?\nAnswer: 2, 491, 48197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h + 23. Let s(w) = -4*w - 12. Let z(x) = -3*q(x) - 5*s(x). Let o be (-27)\/12*2*2. Is 22 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*l + 5960, 19*d - l + 9896 = 24*d. Suppose -2*z - 1153 = -2*h + 2783, -h = 3*z - d. What are the prime factors of h?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4179 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28682 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 3328933.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181379144?\nAnswer: 2, 7, 173, 225163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2062671*z**2 + 2*z - 1448945.\nAnswer: -4125342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 20048 - 20048 + 272*u + (-3*u + 3*u + 2*u**2)*(2*u - 2*u - 2*u) + 0*u**3 + 0*u**3 + u**3 - u**3 + 0*u**3 + 0*u**3.\nAnswer: -7*u**3 + 272*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.278?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -7 (b) -2\/17 (c) 4\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/15)\/((-15)\/(180\/8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -124\/5*c + 26\/5*c**3 + 0 + 802\/5*c**2.\nAnswer: 2*c*(c + 31)*(13*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54*-11849.09\nAnswer: 639850.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(-44 + 101 + 76)*(4*s**2 + s - s) in the form p*s + k + w*s**2 and give w.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g**2 - 2*g - 4. Let n(h) = 21*h**2 + h + 3. Let m(b) = 3*c(b) + 4*n(b). Let t(a) = -a. Give t(m(w)).\nAnswer: -18*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + v = -1, -m - 2*v = -4*v - 2. Solve -2*r = -6 - m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w + 5*j - 34 = 63*w, 2*w + 4*j = 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9454, 18915, 28376?\nAnswer: 37837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 136*h - 1855\/2.\nAnswer: -(h + 7)*(h + 265)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911) + -3*sqrt(1911) + (sqrt(5616) - (sqrt(5616) + sqrt(5616) + -3*sqrt(5616))))\/(sqrt(3) + -2*sqrt(108) + sqrt(108) - sqrt(6)\/sqrt(2)*-3))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g + 43841 - 134461 = 4580*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 3 (b) -2\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-12)*7404\/617.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*y - 290*y + 786*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -5 - 31. Suppose n*l + 70 = 18*l. Let k(b) = b**3 - 7*b**2 + 5*b + 4. Determine k(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38246048131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 101*h - 220*h - 326*h + 22236 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*s**3 - 5*s**4 + 44*s**3 + (-s**3 + 4*s**2 - 4*s**2)*(-2*s + 3*s + s) + 131*s**4 + 48*s**4 + 45*s**4 + 93*s**4.\nAnswer: 310*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1153, -857, -561?\n\"Answer: 296*i - 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.1 (c) -1 (d) -4 (e) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*z - 1, -253*f + 255*f - 3*z = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.939209 months?\nAnswer: 0.016160075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1 - 5*d**2 + 3*d - d + 8*d**2. Let h(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2\/2 - i - 316. Give -2*h(y) + x(y).\nAnswer: 2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4\/2 + 37*h**3\/3 + 5*h**2\/2 + 32*h - 52. Is b(-18) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, -7\/10, -0.4, 0.3, -2 in descending order.\nAnswer: 0.3, -0.4, -7\/10, -2, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 1 + (-28)\/(-4). What is the units digit of 2\/l - 272\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204609846.\nAnswer: 2, 3, 7, 4871663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((((f*f**(-8)*f)\/f)\/f)\/f))*f*f)\/((f*f\/((f\/(f*f**17))\/f))\/f*f) assuming f is positive.\nAnswer: f**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -183*9\/5103 - (20\/14)\/(-5)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = -2*c + 22, 4*c = 12. Solve -3*t - 2*n = 4 + 1, p*t = -2*n - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12991, -25979, -38967?\nAnswer: -51955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/7 and 53\/1746027.\nAnswer: 12222189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 802.9616 minutes?\nAnswer: 48177.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 60*m - 300.\nAnswer: -3*(m - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.9 to the nearest 10.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-16))\/((-19308)\/(-8)). Let f = 131945\/45052 - z. Find the common denominator of f and -99\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39497869*a**4 - 35534786 wrt a.\nAnswer: 157991476*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10 and -79\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1599739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372990855 divided by -74598171.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390087 to the power of 1\/2, to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 3*1*sqrt(110) - -6*(sqrt(110) - (sqrt(110) + -1*sqrt(110))))\/(sqrt(30)\/(4*sqrt(108))).\nAnswer: 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84707, -169415, -254107, -338777, -423419, -508027?\nAnswer: -592595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*s**3 - 35 + 35)*(-2*s**2 + s - s - s**2 - 2*s**2 + 2*s**2 + (0*s**2 + 0*s**2 + s**2)*(-1 - 4 + 3)).\nAnswer: -310*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9 = -2*y. What is the third derivative of 3*d**2 + 5*d**3 - 2*d**3 + 0*d**y wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661839.011 rounded to the nearest 100?\nAnswer: -661800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5291540974006.3400166 + 5291540503519. Let s = 470492.44 + f. Let b = 5.1 - s. What is b rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 106*h + 824. Calculate b(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 4*j - 3. Determine k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/15 + -8\/5. Which is the second biggest value? (a) -0.1 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-170)\/(-20) - (-2 + -1))*57160. Round u to the nearest 10000.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19231250 is divided by 322.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14)*(-42)\/3. Let z be b\/(-30) - 6904\/(-30). Round z to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -12\/13, -3, 0, 5.\nAnswer: -3, -12\/13, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/2505 (b) -2\/9 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 11 + -5 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-16 - (4 - 14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 546 - 150. Suppose -w = -3*x + 213. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*i + 15 = -6*f, f = -3*i - 21. What is the common denominator of 61\/f - (-11)\/33 and 60\/28 - (1 - 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 243 = 3*n, 4*n + n - 245 = -2*s. Suppose -5*k = 5*k - s. Solve 5*o + 5*t - 3 = k, 8 = 2*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 9 = -6*x. Suppose 5*y - 26 = -2*s, 4*s - 4 = -x*y + 5*y. Let m = 23 + y. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 - 116*n**4 + 1192*n**3 - 4968*n**2 + 6804*n - 2916.\nAnswer: 4*(n - 9)**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 72*p. Let h be (2 + -3)\/(8 + -9)*0\/2. Let l(y) be the third derivative of 0*y**4 + h*y + 4*y**2 + 0 + 0*y**3 + 1\/30*y**5. Give l(x(z)).\nAnswer: 10368*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*n + 614975, 4*m + 575304 = 5*n - 449676. What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4959049*u**3 + 7817493*u**2.\nAnswer: -29754294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1230\/(-308) + 64\/(-112)*(47 + 9)\/(-8).\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901893 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*h**2 + 65821580*h**3 - 65821547*h**3 + 47*h**2.\nAnswer: 33*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-533))\/(12\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 3*g - 7*g - 2*g - 2*g + 3*g + (-3 - 2 + 3)*(5*g - 3*g - g) - g - 2*g + 5*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22684 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -418775 at least as big as -418763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23305 and 1829?\nAnswer: 722455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134368 divided by -6.\nAnswer: -67184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + f)*(-52*f - 11*f**2 + 52*f) + (4 - 4 + 2)*(f - f + f**3) + 4*f**3 - 3*f**3 + f**3 + f**3 - f**3 + 2*f**3 - 28*f + 34*f + 7*f**3 - 18*f**3.\nAnswer: 28*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*(d**(-7)\/d)\/d*d)*d*d)\/d)**(32\/7) assuming d is positive.\nAnswer: d**(256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 17 = -q, 2*z = -2*q + 66 - 60 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 + -179. Let m(x) = -x**2 - 2*x + 3. Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/1440 - p**4\/288 + p**2 - 2*p. Factor q(h).\nAnswer: h*(h - 1)*(h + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 388, -5, 93, -0.02, -2\/7, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 4) in base 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22 + 0)\/(0 + 2). Let l = -3 - m. What is the third derivative of 3*j**2 - l*j**2 - 2*j**4 + 2*j**2 - 2*j**4 wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7450, -16643, -25838, -35035, -44234, -53435?\nAnswer: -62638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*w - 2 = -3*k, -4*w + 10 = -2*k. Find the second derivative of -2*b - k*b**2 - 2*b + 6*b wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(860\/4085)*2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113098086 divided by -87.\nAnswer: 1299978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + 4*n, -4*f - 2*n - 2*n = -16. Solve 1 = -3*d + 2*a + 2, d = f*a + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 9. Let c be d(-3). Let t(h) = h - 7. Let w be t(-3). Sort c, 4, w in increasing order.\nAnswer: w, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14766 and 6.\nAnswer: 14772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*b + 8 = 0, -13*k + 8*k + 21 = -b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 32*w**2 - 112*w + 17. Determine y(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -0.163.\nAnswer: -8.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(243) - (0 + sqrt(243) + 1 - sqrt(243))) + sqrt(243) + sqrt(243) - (-1 + sqrt(675) + 4 + sqrt(27) + 4*sqrt(54)\/sqrt(2)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 - 162*q - q**3 + 162*q.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 4 + 3 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:30 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1053) + sqrt(1053) + 0))**2 + -5 + sqrt(208) + sqrt(13))*1.\nAnswer: 5*sqrt(13) + 16843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-2)\/(-8))\/((-22)\/(-88))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from fcfcccccfcccccccfc?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 35*a**2 + 5*a - 47. Give h(17).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9895145, 9895127, 9895109, 9895091, 9895073?\n\"Answer: -18*o + 9895163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -24*f**2 + 5*f - 16. Let y be b(3). Let j = -177 - y. What is the remainder when 78 is divided by j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:54 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1540 = 242*l - 244*l, -1538 = -4*n + l. Calculate the lowest common multiple of n and 1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 31\/((-6696)\/(-7371))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1027734909*v**4*z - 141115902*v**2*z wrt v.\nAnswer: -24665637816*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 49 = 3*n, -6*n = -28*z + 30*z - 106 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 2 + -30 + 19 - (2 - 8) - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -309780.4 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129 times 1155?\nAnswer: 148.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from yjyjjjj.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -53. Suppose -a*w + 7481 = -10862. What are the prime factors of w?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1561 = -4*y - 1529 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*v - 22 = 0, 2*v + v + 46 = -5*c. Suppose 6*m - 8 = 4*m. Let g = c + m. Let y(n) = -n**3 - 5*n**2 - 4*n - 5. Give y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*a + 3204 = -415*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*h**2 - 36*h**4 + 12*h**4 - h + h wrt h?\nAnswer: -576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2 + 104*a + 224 = 0.\nAnswer: -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i + 85*i + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5 + 1119761*l**4 + 4105701*l**3 - 18289289*l**2 - 14556732*l + 6718500 = 0.\nAnswer: -373250, -6, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 3, r: 5}. What is prob of sequence rrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1921754*u**2 - 482878*u.\nAnswer: 3843508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 + 6*d - 7. Suppose 0 = -r - c - 0*c - 8, -2*r - 4 = -2*c. Is m(r) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 16. Let v be u(-5). Suppose 2*h = n - 2*h - v, h = -1. Suppose 4*i + 2*w = -2*w + 12, n = 2*i + 3*w. Solve i = 5*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191280.\nAnswer: 2, 5, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1142*v + 1273. Calculate u(-2).\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5276 - -5320. What is the remainder when 1667 is divided by f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjpjpjjgjjjjpjjjgpjj. Give prob of picking 3 j and 1 p.\nAnswer: 1144\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-35))\/(30\/(-750))*-7. Solve 2*q + 4*t = 6*t, -5*q - p = 5*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0236 from -2989.9.\nAnswer: -2989.9236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/56)\/(-3))\/(557\/(-557))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/7 or 19?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 - -86. Factor -96*i - 4*i**3 - g*i - 160*i - 400 - 84*i**2.\nAnswer: -4*(i + 1)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-34 + 0 + 3)) + 6 + (-35 - -20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.025897 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -12 - -36) + -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -372419 and -25.9456.\nAnswer: -372444.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 20460.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a + -17783?\nAnswer: -177cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -16854\nAnswer: 303372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 245.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -221*-11*18\/198. Solve -193 = -4*y - l for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 35. Let q(k) = -k**3 - 3*k**2 - 2*k - 2. Give q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, h: 1, t: 2, n: 3, y: 1}. Give prob of sequence etee.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 154?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 - 9*p + 41*p**2 - 3 - 42*p**2 - 3. Give r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2496 + 7507 - 1704*c**2 + 1734*c**2 - 2506 - 2505.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3004950 (b) 5 (c) 0 (d) -2\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4 + 9. Suppose -2*h + 3*n - 10 = l, 5*h + 5 = 3*n. Suppose y = h*y - 4*x - 33, 5*y - x = 70. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 9. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2237.5 - -2237. Suppose -5 = -3*i + 3*c - 7*c, 0 = -i + c + 4. What is the closest to -0.08 in -1\/6, i, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426.3 - 1402937.\nAnswer: -1403363.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + h + 25168, 2*s + 0*h = 3*h - 16797. Let q = 12038 + s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 14, -6 in ascending order.\nAnswer: -6, -4, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - 4. Suppose -4*p = r*m - 20, 2 - 11 = -3*p. Let c be m + (-2 - -2 - 0). Solve -3*g = 4 + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*r + 3, 0*r - 2 = 2*r + 2*a. Suppose -15 - r = -v. What is the remainder when (-3)\/(-5) + 2320\/50 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 5*t**7\/21 - t**6 + 23*t**5\/15 - t**4 + t**3\/3 + 53*t**2 + 13*t. Solve d(u) = 0 for u.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 92 = 4*b, z - 6*z - 74 = -2*b. Let r = -56898 - -56977. Calculate the remainder when r is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -0*m + 3*m - 3, 5*m - 83*g + 81*g - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 51*u**2 + u - 6. Let m be y(17). Find the second derivative of -10*i**2 + 12*i**2 - 19*i**3 + 5 - 4*i + 7*i + 0*i**3 + m*i wrt i.\nAnswer: -114*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 7)\/((-1)\/(-7)). Suppose -4*s + b + 17 - i = 0, 3*s + 4*b = -2. Suppose -s*w + 2*z + 148 = 6*z, -4*w = z - 317. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 6*h + 8. Let f be v(-2). Solve f = 2*x + 2 + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.2783 (b) -1 (c) 0.3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.12309 * -0.9\nAnswer: 6.410781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g. Let a = g - -3. Let x(j) = j. Let p be x(6). Solve a*c + 14 = -2*s + 7*s, -3*c = -p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p*z**3 - 3366*p*z + 25947*z**3 + 13*z wrt z.\nAnswer: -36*p*z + 155682*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1561368 and 1368.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 39 = -3*w. Suppose -w*b = -2*k + 98 + 48, 3*k - 2*b - 224 = 0. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27*y**2 + 5*y - 3. Let m(s) = -18*s**2 - 3*s + 2. What is -7*m(l) - 5*n(l)?\nAnswer: -9*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3950*i - 5. Let c(u) = 15*u. What is m(c(p))?\nAnswer: 59250*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 6. Let m be u(14). Let k = 7 + m. Let t(r) = -3*r. Let h be t(k). Solve h = 5*w + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2218, 2337, 2454, 2569?\n\"Answer: -z**2 + 122*z + 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 0*b**3 + 23*b + 109164 - 109176. Is 19 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-7))\/(11*(-41)\/9020).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*(sqrt(425) - (3 + sqrt(425))) - sqrt(425))*-4)**2.\nAnswer: -2840*sqrt(17) + 11841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-37*(1\/5)\/(76\/(-570)*-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*j + 50, -4*d - d - 58 = -3*j. Let h = j + 8. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281*f**2*g + 2*f**2 + 173*f*g - 287256*f with respect to g.\nAnswer: -281*f**2 + 173*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 305 - 169. Solve 3*n - g*n + 30 = s, -5*n - 5*s = -50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 84*h - 1264. Let t be s(-63). Solve -t + 65 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*o - 1 = -3*o, 4 = -y + 4*o. Let f(g) be the second derivative of -1\/6*g**4 - 3*g + 0 + y*g**2 + 0*g**3. Let u(c) = 3*c**2. Calculate u(f(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 - 1091\nAnswer: -1091.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(7\/2)*1\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v. Let p(m) = -6*m - 13. Let k be 10*2\/4*1. Suppose -3*i + 13 = -c + 67, i + k = 0. Let z(g) = g + 2. Let w(s) = c*z(s) + 6*p(s). What is t(w(q))?\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21627 = 21626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4197056*f**2. Let n(y) = 27*y**2. Calculate t(n(k)).\nAnswer: 3059653824*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 - v + 15. Let p be y(-5). Suppose -3*a + 6*a + 6 = 0. Let q be a - 80\/45 - 0. Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7151999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l*l\/l**(-4)*l*l)**(-2)\/((l*l*l**1*l)**(2\/5)\/((l*l\/(l\/l**(-2\/3)))\/(l**(-1\/2)\/l))) assuming l is positive.\nAnswer: l**(-443\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*n**2 - 151 + 299 - 148.\nAnswer: -117*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/26 and -22\/15588209.\nAnswer: 31176418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079204000 to the nearest integer?\nAnswer: 32851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10660764*z**3 + 2620429*z**2 + 45 wrt z.\nAnswer: -63964584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*w + 122*w + 142*w.\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**2 + 73 + 74*v + 2*v**2 - 7*v**2 - 3*v**2 + 2*v**2.\nAnswer: (v + 1)*(v + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)\/(n*n\/(n**(1\/11)\/n)))**(24\/5) assuming n is positive.\nAnswer: n**(-1952\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -77*h**2. Let m be b(1). Let s be (1 + 2)\/((-6)\/(-300)*-2). Let y = s - m. Solve -6*q + 15 = -q - 2*t, -7 = -y*q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c - 5*s - 21, -2*c - s = 1. Let v be (-15)\/c*(-880)\/33. Calculate the highest common divisor of 25 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 + -8 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.61*-1.2.\nAnswer: -0.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 19*g - 50 = 0. Let q(d) = 2*d**2 - 2*d - 3. Calculate q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 - 5*i**4\/24 + i**3 + 10*i**2 - 4. Let d(u) = -u**3 - 6*u**2 + 5. Let m be d(-6). What is a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*o - 150 = -397*o. What is the nearest to -11 in o, -0.6, 2\/21, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 5*l)*(-l**2 + l**2 - 2*l**2).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:02 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-567)\/54)\/((-6)\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1808*p**2 + 2144*p - 602. Let s(x) = 23505*x**2 - 27890*x + 7825. Let r(z) = 40*d(z) + 3*s(z). Factor r(y).\nAnswer: -5*(19*y - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/5 + 1144704\/1320. Calculate the greatest common factor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7, f: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10272229 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4825800*j + 6621008?\nAnswer: -4825800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839*z + 835*z = 3*h - 5962, 2*z - 5*h - 2994 = 0. List the prime factors of z.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Suppose -59 = -6*p - 47. Let y(v) = 39*v**p - 5*v - 33*v**2 + 5*v. What is c(y(i))?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 4. Let y be c(-4). Let j be (-6)\/4*(-64)\/y. Suppose -2*h - l = -11, 3*h - l = j*h - 35. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, 2182, 5, 4 in decreasing order.\nAnswer: 2182, 217, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13\/(-104) - (-25281)\/72 and 390?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/12 + 3*s**2. Let a(t) = -8*t. Calculate a(r(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*b**2*c**2 - 2*b*c**2 - 1964*b*c - c**2 + 40*c - 129 wrt b?\nAnswer: 14*b*c**2 - 2*c**2 - 1964*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.221 (c) -17\/4 (d) -3\/11 (e) -2 (f) 0.5 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*x**4 - m*x**2 - 13*m*x + 15*x**6 - 2*x**4 + x**2 wrt x.\nAnswer: -48*m*x + 1800*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504763341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 1\/6*x**4 + 47\/30*x**6 - 16*x**2 + 0*x**3 + 0 + 21*x + 0*x**5. Find the first derivative of o(s) wrt s.\nAnswer: 188*s**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43169\/2070 - -484\/23. Find the common denominator of a and 8\/339.\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 16 - 15)\/(2\/(-2)). Let x(l) be the third derivative of l**4\/12 - l**3 + 23*l**2. What is x(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105112619 and 17096?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 16 = -4*p, 6*c = c + 2*p + 20. What is the second derivative of 16*v - c*v**5 - 7*v + 2*v**5 + 10*v**5 wrt v?\nAnswer: 200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = -3*g - 3, -2*g = -4*h - 24. Suppose 2*s - 5*b = g*s - 50, 4*s = -2*b + 84. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710931 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*l - 242*p + 239*p, -10 - 25 = 2*l + 5*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 15. Calculate u(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(8\/3))\/(((o\/(o*o*o*o**(3\/2)))\/o)\/o))\/(o**(-3)*o\/o**(4\/9)) assuming o is positive.\nAnswer: o**(209\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100648 + 46848. What are the prime factors of h\/(-175) + (-4)\/(-7)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 1\/6, 2\/11 in decreasing order.\nAnswer: 93, 2\/11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -1253\nAnswer: 27566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6209.1 - -6209. What is the biggest value in -33, t, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/6 + 7*v**2\/2 - v. Let n be s(3). Solve -22 + 7 = 4*g - 3*c, 0 = -3*g + 2*c - n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1173 = 22*x. What is the remainder when x is divided by (-110)\/(-8) - 1\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 3, y: 1, x: 2}. Give prob of picking 1 y and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((sqrt(13) + 0 + sqrt(13))*4 + -3).\nAnswer: -12 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 + -5 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.7 - 8. Let m = f + -0.7. Sort 5, 1\/9, m.\nAnswer: m, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41470548 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 22*d = 429. Let p(q) = -q**2 - 10*q - 6. Calculate the lowest common multiple of p(-9) and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 7:23 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 34*v + 36 - 1\/5*v**5 + 8\/3*v**3 - v**4 + 0*v**2. Let w(t) be the first derivative of z(t). Factor w(f).\nAnswer: -4*f*(f - 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-60 + 16 - -15) + 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:39 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 5:27 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.5023\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231313 (base 4) in base 8?\nAnswer: 5567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1143564107 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -5*j**4\/12 + 2*j**2 - 8*j - 12. Let z(v) be the first derivative of h(v). Differentiate z(l) wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 6120 + 4722. Suppose -2*l - 1355 = -5*n, 2*l + l - r = -3*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417464 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -68. Let q = z + 52. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134952 + 476328 = -84*p. What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 15*k**2 - 9*k - 71. Let a be x(14). Put a, -5, -23 in descending order.\nAnswer: a, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b**2 + 43*b**2 + 68 - 67. Let c(y) = 2*y. What is c(f(t))?\nAnswer: 108*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:10 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -4 (c) 363 (d) 4 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) - sqrt(18)) - (sqrt(19) + sqrt(95)\/sqrt(5)*-5).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 6. Let t be 8\/5 + i\/15. Find the third derivative of -y + 2*y**2 + y - t*y**4 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -40. Let i = 34 - s. Is 2\/57 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2379 - 2398 - (1 + -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -367058*v**4 - 2*v - 859216?\nAnswer: -1468232*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + (-42)\/(-147). Solve -2*x + 7 + 23 = -4*q, i = -5*q + 4*x - 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*r*t - a**2*t**2 + 120*a*r*t**2 + r*t**2 + 106*r*t - 2*r - 2*t wrt t.\nAnswer: -2*a**2 + 240*a*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18866787 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/(-48) - (-6)\/4. Solve -a*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*g = -32, -4*c + 3*g - 8 = -2*g. Solve -2*q - 3*k + 17 = 0, 5*q + c*k = 2*q + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 + 3*l + 216 = 0 for l.\nAnswer: -8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 3*s - 25, -4*s = -2*c + 18. Let x = 45 + c. Let h be x\/12 - (-2)\/(-6). Solve -h*k + 3*k + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a. Solve 5*q = q - 4*r + 28, a*q = 2*r + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + 3.8. Let k = -1228 - -1227.899951. Let y = l + k. Round y to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6.65 (b) 15 (c) 0.3 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/6 + 5*b**3\/6 + b**2. What is the first derivative of n(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 72660.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -745540 less than -745503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-15)*-6*6\/(-18)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1872) + (sqrt(1872) - (3 + sqrt(1872) + -5)) - (-3*-3*sqrt(117))\/sqrt(9)) + -5.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(304\/(-120))*36\/15. Solve 4*l - h = -15, 4*h + o = -l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9120 and 2432.\nAnswer: 36480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4124, -5, -1\/9 in increasing order.\nAnswer: -4124, -5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 43*z**2 + 30*z - 17. Let p(o) = -21*o**2 - 14*o + 8. What is 6*m(k) + 13*p(k)?\nAnswer: -15*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*3484\nAnswer: -3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*g - 101 + 79, -5*l = -10*g - 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 13) in base 2?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/3 + 2732*p = 0. What is p?\nAnswer: -4098, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -2*467\/(-130). Let s = z + -135\/13. What is the common denominator of s and -8\/57?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137 - 74 + 3*q**2 + 2*q**3 - 71 - q to the form o + y*q + d*q**2 + x*q**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1513.2 to the nearest 10.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8533271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*c + 4*c + 2, -2*v - 6 = 0. Suppose 4*q + 2*y = -50, -5 = 2*q - 0*q - 3*y. Sort 2, c, q in increasing order.\nAnswer: q, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.00000217 + -2. Round k to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f + 60. Let v be t(-6). Suppose 5*q - 3 = 4*o, 2*o + 2*o - 3*q - 3 = v. Solve 4*r - 21 = -o*w + 5, -5*r + 35 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/3*47 - 16\/8. Let y be 165\/220 + s\/4. Let p(w) = w + 7. Let h be p(-6). Solve f = 5*q + y, -4*f + h = -2*q - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:13 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnnkjnjd. What is prob of sequence dn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a99121 (base 14) to base 4.\nAnswer: -111323202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:02 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-245)*105\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5106 and 8.\nAnswer: 20424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + 5*a**2 - 3*a - 3. Let x(n) = -n**3 - n**2 + 1. Let u(t) = -q(t) + x(t). Let p be u(5). Let l = -5 - p. Solve -2*j - l = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 84.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 48*n + 21. Calculate o(-3).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42886 - 42884. Suppose -w = 3*y - 5 + 4, 3*w - 14 = 2*y. Suppose -6 = w*z - 22. Solve -k*o - 1 = 4*g + 1, 0 = -o - 3*g - z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*f = -4002 + 105, -2*f - 5216 = -4*t. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/360 - v**5\/45 - v**4\/6 + 536*v**2. Suppose x(q) = 0. Calculate q.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28421 - 5?\nAnswer: -28426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) - (-22)\/10. Let g(z) = 32*z**2 + 65 - 70 - 35*z**r. Let l(h) = 10*h**2 + h + 16. What is -7*g(x) - 2*l(x)?\nAnswer: x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6)*t*t**(-3\/7))\/((t\/(t*t\/(t**13\/t)))\/t*t*t**(-6\/25)\/t) assuming t is positive.\nAnswer: t**(-383\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 - 2*q**2 + 9*q. Let u be (1 + (-1 - 2))\/(-1). Let h(j) = 7*j + 4*j - 6*j - j**2 - u*j**3. Calculate 5*h(v) - 3*t(v).\nAnswer: -v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/(-19)*(-8)\/(-44).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*v - 21 = -0*u, -15 = 5*v. Suppose 2*w - 6 = -3*f + 4*f, 3*w - f = 9. Suppose -u = -w*g + 4. Calculate the greatest common divisor of 16 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220200212 (base 4) in base 10?\nAnswer: -690214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**9\/504 + v**5\/12 + 13*v**2. What is the third derivative of t(u) wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 - 5*r + 5. Let s = -16 + 11. Calculate m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*l - 34*l + 10*l)*(1 - 5 + 2 + (-3 - 4 + 5)*(0 + 1 + 0) + 3 + 1 - 2) to the form z + v*l and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -92*w**2. Let c(y) = 3*y**2 + 7. What is c(m(j))?\nAnswer: 25392*j**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 728461 and 73335?\nAnswer: 10926915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10121 + 20239 - 16*b**2 - 10130.\nAnswer: -16*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 23 - -7) + -13 + 5 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (920216\/352*1*4)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25157703 divided by 8385901?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -16 (b) -5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 + 2 = -5*w, -2 = -2*p + 3*w. Calculate the least common multiple of 11 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 3*y + 8*y + 3*y - 6*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1\/(-2)) + (-6)\/12. Let c = -212 - -340. Suppose -v*u + 5*n = -140, 3*u - n - n = c. Solve -4*a + u = 5*b + a, 0 = 4*b + 5*a - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 17 - 4)\/((16 - 6) + -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - u = -3, -13*n - 12*n = -508*u + 507*u + 83 + 58 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2. Let y(f) = -28*f**2. Determine y(i(c)).\nAnswer: -700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000092856 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 18*c - 6. Let i be m(-16). Suppose -10*l = -i - 4. Find g, given that -2\/13*g**l - 6\/13*g + 18\/13 - 10\/13*g**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 109908?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/((-44)\/(-2))*2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1463, -2237, -3011?\nAnswer: -3785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53.8 - 54.04. Which is the second smallest value? (a) 4 (b) -4 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p - 30 = 2*i, -2*p - 9 = -i. Which is bigger: p or -13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 5. Suppose -3*p = 7 + 11. Let c = -6 - p. Suppose c = a + 1 + 3. Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(83\/(-1660))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k + 18*k = -600. Let h(u) = u**3 + 9*u**2 + 8*u - 11. Determine h(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128233 (base 9) in base 4?\nAnswer: 103011303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 16*p**2 - 444*p - 3896. Determine b(-9).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t + 10. Find the common denominator of 152\/(-120)*(-9)\/t and 43\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1867765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680436.\nAnswer: 2, 19, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.084, 1.488, 215?\nAnswer: 1.488","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + 2*sqrt(171))**2 + -4 + 2*sqrt(171)).\nAnswer: 36*sqrt(19) + 1362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*h - 44 = 0, 1 + 2 = n - 5*h. Let q(m) = 7*m + 6*m - 3*m - m**3 + 132*m**2 + 3 - 125*m**2. Does 4 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-21))\/((-726)\/(-847))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + z - 1. Let a = 47 + -19. Let l = 29 - a. Let i(w) be the third derivative of w**6\/30 - w**4\/6 + 7*w**3\/6 - w**2. Calculate l*i(n) + 5*f(n).\nAnswer: -n**3 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(5*-1*sqrt(7)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3575)\/(-1100))\/((-65)\/280)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 17, -2\/15, 26, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5 and 770.4981519?\nAnswer: 768.9981519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 114) + -7 + 55?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/42)\/((-40)\/(-42) + (-15 - 4944\/(-336)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 9)*(4 + 2 - 4)*(29 - 53 - 60)*(-4*l + 3*l - 3*l).\nAnswer: -8736*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1020552 and -109\/1872.\nAnswer: 6123312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/2 - 2. Which is the nearest to 0.1? (a) 0.1 (b) -2\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/11 or -26412\/7?\nAnswer: -26412\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13*d - 1554 = 17*d, -4*n + 1237 = 3*d. What are the prime factors of n?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.0165 + -86. Round l to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9635171 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 5:25 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1718, -1548, -1558, -1838, -2478?\n\"Answer: -15*k**3 + 275*k - 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535220 (base 8) to base 2.\nAnswer: 101011101010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7960\/1521 + -4\/1521. Let a = i - 202\/39. Is 1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 53, -4, 787, 3.\nAnswer: -5, -4, 3, 53, 787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (0 - -3*8\/(-12)). What is the highest common factor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2700*x + 2857. Let n(d) = -2634*d - 2857. Let w(g) = 2*f(g) + 3*n(g). Find the first derivative of w(i) wrt i.\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 6444.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 5, u: 2, z: 2}. What is prob of picking 1 z and 1 e?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6365, 6126, 5911, 5732, 5601?\n\"Answer: 2*r**3 - 253*r + 6616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 37?\nAnswer: 50\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4)**(-12)\/(a*(a**(-3)*a)\/a*a**8))**34 assuming a is positive.\nAnswer: a**(-1836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -7b9a?\nAnswer: -7b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/9 or -426?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from {f: 3, r: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c - 308 = -9*c. Let x be 7\/c*(-1)\/(-4). Let w = -52\/7 + 170\/21. What is the nearest to -0.2 in x, w, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3133 - 0.1193. What is u rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1764, -1710, -1656, -1602, -1548?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 19. Let r be g(7). Let p = r + 13. Let v = 159 - p. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/10)\/(-2))\/(2\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t + 41 = -58*t + 5*x, 550*t - 552*t - 3*x = -19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.402843\nAnswer: -0.402843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*j**3*r + 2*j**3 + 1671*j**2*r - 34*j**2 + 19791*j*r + r - 1279 wrt j.\nAnswer: 504*j*r + 12*j + 3342*r - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*k + 5*k - 3*w, 0 = -k - w + 1. Suppose 3*s + 4547 = 7*r - k*r, 3*r - 2733 = 3*s. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -74. Suppose z = 4*d + s, -4*z + 6*d = 3*d - 23. Are z and 3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 71*a - 22488. What is z(-190)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 32*m - 6. Let s be v(-2). Let c = -61 - s. Is c\/3*573\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egeoxoerxnooexxrr. Give prob of sequence er.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.8 - -24.704. Let v = k + 0.1739. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 - 1)*(-5 + 5 - 1) + 10 + 0 + 1)*(-87 + 87 + 38*l) as r + q*l and give q.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-687)\/(-48)*36316\/926. Let n = -780\/463 + c. Let l = -556 + n. Calculate the common denominator of 19\/4 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308 + 7698\/25. Let g = -4.05197 - -0.05197. Which is the biggest value? (a) m (b) 6 (c) -1\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760495 divided by 19?\nAnswer: 760495\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**2 + 34*d + 14. Let x(u) = -2*u**2 - 9*u - 4. Let s(v) = -3*q(v) - 11*x(v). Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -50 - (1 - 0)\/(3\/(-3)). Let k = -43 - o. Find the first derivative of -9*m + 0*m + k - 9*m + 13 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5184*v**2 - 22*v*x + 1012122*x wrt v.\nAnswer: 10368*v - 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119409061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 at least as big as 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 g, and 1 u when four letters picked without replacement from hgvauvghvgvuuoh.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 55*p**2 + 3*p - 12. Let f be t(2). Suppose -11*h + 852 = f. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8610948 - 0.6.\nAnswer: -8610948.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128 - (18 - -2 - (63 - 62))) + 25.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966066 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 8*x + 0*x - 8*x - x + (4 - 3 + 1)*(-3*x + x + x) - 4*x + 2*x + 0*x + x + 2*x - 4*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5 - 19758*h + 7 - 5290*h + 4047*h. Let t be b(2). What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 29 = 5*t. Let p be -8*(10\/t)\/(-5). Let c = -4 + 2. Sort -1, p, c in decreasing order.\nAnswer: -1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807668, 1615366, 2423064, 3230762, 4038460, 4846158?\nAnswer: 5653856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.343 and 33410391.5524.\nAnswer: 33410391.8954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 16*v - 15. Calculate x(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3028*n = -13821*n + 647580 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s**2 + 7*s - 3. Let h be j(-6). Suppose 7*c - 3667 = -h. Let y = c + -319. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 39*f**4 - 195*f**3 - 612*f**2 + 195*f + 546. Let j(u) = 3*u**4 - 15*u**3 - 47*u**2 + 15*u + 42. Let x(a) = -2*h(a) + 27*j(a). Solve x(q) = 0.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 456 and 3316904.\nAnswer: 189063528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4\/5 + 378*c**3\/5 + 392*c**2 - 108594*c\/5 - 10948 = 0.\nAnswer: -85, -23, -1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 3, -1, 11, 45, 107, 203?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2125\/31 (b) -13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/45*100\/10. Sort v, 0.5, 3\/5.\nAnswer: 0.5, 3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 639, 0.3, -0.23, 3\/37 in increasing order.\nAnswer: -0.23, 3\/37, 0.3, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1389, -1391, -1393, -1395, -1397?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 4*f - 4. Let b(m) = 1. Give 2*b(u) + c(u).\nAnswer: -u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2. Let j(q) be the first derivative of -1\/12*q**4 + 0*q - 7\/2*q**2 + 2 + 0*q**3. Let k(o) be the second derivative of j(o). Give i(k(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37124973.5 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.54 + -0.34. Sort d, 0.3, -2\/9, 8\/3, -3\/4 in decreasing order.\nAnswer: 8\/3, 0.3, d, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2740.0000144 + -2740. Round p to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63250 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Suppose 3*o - 245 = -4*u, -3*o - 251 = -u - 3*u. Let x(q) = 7 - u*q + 3*q**2 - 58*q + 120*q. What is x(z(n))?\nAnswer: 12*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 49 - 2*t**2 - 13*t**2 - 5*t - 68 - 38. Let f(x) = 44*x**2 + 16*x + 170. Let v(w) = 16*c(w) + 5*f(w). What is the derivative of v(k) wrt k?\nAnswer: -40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2*o + 5099 - 5090 - 2*o**2. Give k(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1355738713*l - 1367814918 wrt l?\nAnswer: 1355738713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 3*z + 15, -2*c - 5*z + 29 = 0. Factor -3*t + 2 - t - 2*t**2 + 4*t**c.\nAnswer: 2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17\/3, 126, 0.15, 3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2932 is divided by 703.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -677, -1012?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*o**2*v - 280*o**2 - 2*o*v + 17*o - v + 20 wrt o.\nAnswer: 176*v - 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**6\/255 + n**5\/170 + 7*n**4\/102 - n**3\/51 - 6*n**2\/17 + 96*n + 3. Solve g(w) = 0 for w.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 7}. What is prob of picking 1 j and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-11) + 11 + 7288\/(-660)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6568, 13562, 20556, 27550?\nAnswer: 34544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 3, -25, -87, -195, -361, -597?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 113 = 0. Let w = -22 - j. Let f = w - 59. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/43 (b) 0 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 4. Let y(d) = -4*d - 1. Determine y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-6)\/69 - ((-12060)\/92 - -48)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 945, 3260, 7803, 15324?\nAnswer: 26573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 9 (c) 10 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 + (2 - -9) + -28 - -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 8 + -3 + 9 + -18.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1300*d + 65*d - 1040*d + 113*d + 275*d to y + m*d and give m.\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -4.59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/4*(64\/336)\/(24\/28)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:31 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:31 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643525?\nAnswer: 5, 25741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1250*z - 218*z - 4258*z - 301*z as d + y*z and give y.\nAnswer: -6027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffaffffa. Give prob of sequence ffaf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 25 = -6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/15 - 4*d**2. Let b(n) = -n. Calculate j(b(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.11, 0.34, 22, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 1. Let p(d) = -8*d**3 - 10*d**2 - 32*d - 25. Let b(l) = 3*p(l) - 21*t(l). Factor b(z).\nAnswer: -3*(z + 2)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 30290171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 6*a**2 + 8*a - 2. Let l be p(7). Suppose 0 = -5*t + 2*r + 12 + 9, -l*t - 2*r = -29. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97912682*d**2 - 97912682*d**2 - 2*d**3 + 22.\nAnswer: -2*d**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -35*c**2 + 225*c + 151. Let z(h) = -33*h - 1. What is the remainder when z(-9) is divided by f(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 5:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 40\/7*z**2 + 1\/21*z**4 + 44*z + 32\/21*z**3 + 0 - 1\/35*z**5. Find m such that y(m) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -6314?\nAnswer: -6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003122 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 1, 0.09, 1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 1, b: 1}. What is prob of picking 1 y and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/7 - 19948*v\/7 + 49740338\/7 = 0. Calculate v.\nAnswer: 4987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2746561.\nAnswer: 5\/2746561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggiggiiiiii. Give prob of picking 1 g and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.07 + -8.16. Let u = 6.9 - j. Which is the third biggest value? (a) 1\/2 (b) u (c) -2 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m**2 - 17*m. Let i(b) = 7*b**2 - 6. Let n(w) = 2*w**2 - 2. Let l(r) = 2*i(r) - 6*n(r). Give o(l(h)).\nAnswer: -68*h**4 - 34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1620*p + 17826. Give x(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3 and -41\/231675.\nAnswer: 231675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -12. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 - 286*h\/7 + 244\/21 = 0. Calculate h.\nAnswer: 2\/7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 21*a**2\/2 + 99*a\/2 + 121\/2.\nAnswer: (a - 11)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1337, -1336, -1333, -1328?\n\"Answer: q**2 - 2*q - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 75) + -47 - -27\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 3, p: 4}. Give prob of sequence ap.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - l - l - 5*l. Let a(s) = -8*s**2 - 8*s. Let t(z) = -18*z**2 - 20*z. Let d(n) = -5*a(n) + 2*t(n). Give d(j(x)).\nAnswer: 484*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -513608200 to the nearest one hundred thousand.\nAnswer: -513600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1400 (base 5) to base 4\nAnswer: -3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126314563 is divided by 741?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p + 2*h - 1, 2*p - h - 7 = 0. Suppose 6 = -p*l - 6. What is the units digit of (-1 - -6)*(l - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 + 2 + 11*t**3 - t**2 + t - t**2.\nAnswer: -(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*w - 2293*g**2 + 4*g*w + 3138*w wrt g?\nAnswer: -4*w - 4586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (14 + (6 + -5 - (17 - 39))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373452 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 3, 7, -5, 625 in decreasing order.\nAnswer: 625, 7, 3, 1, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 16275?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 13*v + 12 = 0. Let q = 67.7 + -68. Which is the third biggest value? (a) -0.02 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -13627\/101?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*h = -315 - 948 - 1151 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54198 - 236.\nAnswer: -54434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4406485 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 2, h: 7}. Give prob of picking 1 g, 1 h, and 1 y.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*p = -2*p - 11, 0 = -3*a + 4*p + 8. Suppose -1 - 5 = -f. Calculate the remainder when -3 + (-2691)\/(-99) - a\/(-22) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xuxxxxxuxuxxxxx.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90174 and 418.\nAnswer: 991914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 17 = 5. Let h(l) = 4*l**3 - 4*l**2 - 9*l + 3. Let k(b) = b**3 - b. Let n(s) = a*k(s) + h(s). Let j = 79 + -74. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*d - 8, 23*a = -4*d - 28 + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -340 and -1129?\nAnswer: 383860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (29\/87)\/(30\/(-738))*5\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let y be (1 - 2) + 0 + 3. Suppose -12 + y = -5*z. Let c(s) = -20 + 5*s**z + 20. Give t(c(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01429368 to 4 dps.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-216 - 324*f**3 + 216)*(0*f - 13*f - 30*f - 31 + 32) to p*f**3 + t*f + o*f**4 + u + y*f**2 and give o.\nAnswer: 13932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (920\/(-368))\/(30*6\/(-48)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29902040 divided by -3737755.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, 2, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -2275, -2276, -2277, -2278?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -6. Suppose -4*p = -3*x + 5*x - 8, 3*x = -p - o. Is (4\/(-6))\/(x\/2022) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(0 + -1 + 4). Let z be (o - -1)\/(4\/2). Solve -a - 2*v = -10, -z*v + 10 = -2*a + 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -119\nAnswer: 30\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*v - 13056 - 5315, -4*k - 4 = 0. What are the prime factors of v?\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 + -101?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73\/2 + -36. Let l = 427.1 + -427. What is the nearest to l in c, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -118. Suppose 4*d + 7560 = j*d. Is d a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - 13. Let x = o + 47. Sort -4, x, -1 in ascending order.\nAnswer: -4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*o**2 - 19*o**2 + 29*o**2 - 2*o - 88*o**2 + 6 wrt o?\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 37*x + 144. Determine r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -137628, -275224, -412820, -550416?\n\"Answer: -137596*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x - 12. Calculate p(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 1 + 0 - 1 - 4*a in the form v*a + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7113 + -7112. Let w = -8 - -8.3. Which is the closest to -0.2? (a) t (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-35)*(-50)\/(-110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313032649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -700b149 - 2?\nAnswer: -700b14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 39 + 134585*k + 3*k**3 - 134585*k + 0*k**3.\nAnswer: -k**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22634895 and 50?\nAnswer: 226348950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204022.\nAnswer: 2, 7, 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + x - 15, 2*p + 36*x - 24 = 34*x. Let u = 1.6 - -0.4. Which is the second biggest value? (a) -1 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1344, -1271, -1198?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4102*o**3 - 3*o**2 + o - 62448 wrt o?\nAnswer: -12306*o**2 - 6*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - i**3 - 3*i**3)*(3*i + 7*i - 7*i + (-4 - 1 + 4)*(-5*i + 60 - 60) + i - 2 + 2).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*o + b - 922 = 0, -4*o = -67*b + 64*b - 26 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400320 + -2?\nAnswer: 400314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229402.\nAnswer: 2, 23, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/270 + (-92)\/(-24) + 17. What is the greatest common factor of 1939 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -259268?\nAnswer: -259273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -90534 rounded to the nearest one hundred?\nAnswer: -90500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/65948202 and 33\/2527.\nAnswer: 461637414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = 2*t, 2 + 14 = t - 4*l. Solve -3*n - 2*z - 12 = -0*z, 0 = 3*n + 5*z + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -477\nAnswer: -5\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2172219048 to four decimal places.\nAnswer: -0.2172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10.3*3673\nAnswer: 37831.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77 + 77 - 8*r - 3*r - r + 3*r + (0*r + 5*r - 3*r)*(0 + 1 + 1).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**3*w**2 - 13*a**3*w + 153*a**3 - a**2 wrt w?\nAnswer: -10*a**3*w - 13*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6532\/27 + 242. Let a = -116.47 - -117. Let z = a - 0.03. What is the second smallest value in c, -4, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d - 124*d = -2*s - 12, 4*d + 2 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98912 by -12364.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**2*g*w*y**2 - 99*f**2*w**2 + 9*f**2*w*y - 2*f*g*w*y**2 - f*g*w - 13*f*w**2*y**2 - 5*g*w**2 - 19*y**2 wrt w?\nAnswer: -198*f**2 - 26*f*y**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/30 - (-1101)\/5. Suppose -2*j + s = 6*s - 18, 4*j = 5*s + 6. Suppose h = v + j*v. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/5428 and -107\/6.\nAnswer: 16284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 4*d - 0*d - 4*w, 0 = 2*d + 2*w - 100. Let u = -19 + d. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 4 (c) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 6) + (41 + -53 - -53)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + 3.89. Let u = -4.3 + s. Is -1\/4 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82570206 + -5448456521\/66. Let u = j - 17834. Calculate the common denominator of u and -7\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9206, -474, 4 in descending order.\nAnswer: 4, -474, -9206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/19 - (-3 + 3). Let o = 30533.1 - 30533. Which is the nearest to o? (a) 2\/11 (b) 19 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, l: 2, g: 7}. Give prob of sequence ggag.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 9. Let n be w*3\/(3\/(-2)). What is the remainder when 33 is divided by (2\/n)\/((-7)\/(-119))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -30*f**3 + 2*f**2 + 7*f - 5. Suppose -2*g = -8 - 2. Let i(x) = -15*x**3 + x**2 + 4*x - 3. Let q(n) = g*i(n) - 3*h(n). What is q(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 6*u + u)*(4*u**2 - 4*u**2 - 3*u**2)*(26 - 62 - 32 - 34).\nAnswer: -1530*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c + 5 = 0. Is -6\/13 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 113?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 572477*s - 572477*s + 512*s**2 to the form t*s + g + u*s**2 and give u.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8641 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14374 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 9*i - 20. Let y be ((-12)\/(-10))\/(i\/5). Solve -4*q = -2*q - 3*r - y, -2*r - 9 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 66 - 9 = 0. Let l be 1 + (-2 - 33\/u). Let c(p) = -3*p**2 - 12*p + 422. Let d be c(-14). Is d greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 - 28*i**2*t + 2*i**2 - 5*i*t + 3*t + 5 wrt i?\nAnswer: 18*i - 56*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 + 135*i + 126. Let c(s) = -35*s**2 - 945*s - 880. Let w(j) = 2*c(j) + 15*g(j). Factor w(z).\nAnswer: 5*(z + 1)*(z + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p + 12*p + 7*p)*(-33 - 26*p + 33) + p**2 + 0*p + 0*p as t*p**2 + k*p + a and give t.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1\/11)*x**(-7)*x**(-3\/4)*x**(-2\/9)*((x\/(x\/(x\/x**(2\/7)*x)))**(-21\/2))**(-10) assuming x is positive.\nAnswer: x**(68555\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211100201 - 101110?\nAnswer: 210222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s - 1 = 0. Let p(x) = x**6 + x**2 - x + 1. Let k(q) = 10*q**6 - 2*q + 2. Let n(w) = s*k(w) - 2*p(w). What is the third derivative of n(t) wrt t?\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(4\/(-30))\/((-2)\/(-20)). Let q be (-168)\/36 - 4\/12. What is the closest to 22 in r, -3, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + 2)**2 + (sqrt(80) + sqrt(80)*1 + sqrt(5))**2.\nAnswer: 2*sqrt(5) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 6:02 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/((-3)\/((-225)\/35)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -134 - (1 + (-28 - -20) - 9).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 24 - 72. What are the prime factors of ((-146)\/4)\/((-100)\/m + 4)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.86, 4, -36?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 smaller than -5.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 8825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5738, -6058, -6378, -6698, -7018, -7338?\nAnswer: -7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3 + 3*c - 9*c - c - 2*c. Suppose -46*m + 50*m = 1536. Let x(u) = m*u + u**2 - 384*u + 0*u**2. What is x(o(p))?\nAnswer: 81*p**2 - 54*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*j - 1871*j + 1831*j + 6601*j + 5517*j.\nAnswer: 11605*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84037813 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -1123130?\nAnswer: 1123101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let s(o) = -6*o + 1. Calculate 3*s(w) + 7*u(w).\nAnswer: 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k. Let f(v) = -3*v - 30. Let c be f(-12). Solve k = l - 2*q - 13, -3*l - 4*q = -c*q - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1272.99 - -1387.6. Let f = -115 + l. Put 0.4, 3\/2, f in descending order.\nAnswer: 3\/2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 25 (b) -18 (c) 0.4 (d) 1 (e) -0.5 (f) 0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 2*o**2 + 2*o - 2. Let a be n(2). Let s = a - 17. Solve -4*z - 1 = -s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 2*n + n + 15*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215)\/20 + 9 - 4530\/(-2616).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3292, 6582, 9874, 13168?\nAnswer: 16464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15443 + -9560. What are the prime factors of i?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -62, -216, -490, -926?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/6, 0.1, 0.47?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735 divided by 2?\nAnswer: 1735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 414.46, -8, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/26556354 and 97\/36213210.\nAnswer: 398345310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4. Let p(y) = -1. Let s(k) = l(k) - 3*p(k). Let g(o) be the first derivative of o**2\/2 - 4*o + 1. Give g(w) - 4*s(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992010 to the power of 1\/2, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 + 799*n**2.\nAnswer: 799*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4969920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s**2 + 3*s - s - 15*s**2)*(-16*s + 15*s + 9*s) to y*s**3 + w*s + x + c*s**2 and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73 + (42\/(-18))\/(3\/18)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((96\/(-75))\/(-8))\/((-2)\/(-5)). Solve -2\/5*z**2 - 1\/5 - 1\/5*z**5 + 3\/5*z**4 + 3\/5*z - g*z**3 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3.22, 0.2, 2\/5, 2.\nAnswer: -3.22, 0.2, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrau when four letters picked without replacement from aaunuruuqaaannnauaua.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n + 4*y + 10, -3*n = -4*y - 25. Calculate the common denominator of (-6)\/4*5\/(-9) and (-2)\/(-44)*-135 + n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25797405 is divided by 2912?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27\/4 (b) 2\/17 (c) -5 (d) 1055 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, -27, -642.\nAnswer: -642, -27, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442406.\nAnswer: 2, 221203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282.2 - -282.7. Sort 2, -45, -1\/2, a, -3 in increasing order.\nAnswer: -45, -3, -1\/2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m**3 - 30*m**2 + 6*m - 6. Let k(g) = -25*g**3 - 63*g**2 + 11*g - 11. Calculate 11*j(c) - 6*k(c).\nAnswer: 7*c**3 + 48*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1118? (a) -3 (b) 2\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111011101101 (base 2) in base 14?\nAnswer: -bbad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qtttqttttqt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 527 - 166*q**3 - 226*q**3 - 445.\nAnswer: -392*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*j**3 - 1143*j + 278*j - 132*j - 1230*j.\nAnswer: 2*j**3 - 2227*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/7 + 8859*m**4\/7 - 513477*m**3\/7 + 3714321*m**2\/7 + 9004494*m\/7 + 681120 = 0. What is m?\nAnswer: -3010, -1, 11, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 93, 212, 397, 660, 1013?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-66)\/16)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*b + 1 = 11, -3*n - 3*b = -18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00998543215 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 6)*(12*i**4 - 144*i**4 - 3*i**4).\nAnswer: -810*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1037, 0, -959, -3, -5 in descending order.\nAnswer: 2, 0, -3, -5, -959, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v + 1. Let l be g(-2). Differentiate 18*i**3 + 1 + l*i**3 - 28*i**3 - 27 with respect to i.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 10*a - 3. Let w be (-17)\/((-68)\/16) + 7. Determine c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.059418 millilitres to litres.\nAnswer: 0.004059418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 3. Suppose -14*w - 17 + 59 = 0. Suppose -l = -x + w*l + 22, -3*l - 15 = 0. Determine u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97104664, 97104662, 97104660?\n\"Answer: -2*z + 97104666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 191*a**2 + 197*a - 1453. Calculate l(190).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) 4\/3 (b) -5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 11 + 17 = 0, f + 18 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/5732371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 11, t: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.115? (a) 8\/19 (b) 6\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44483054 by -7.\nAnswer: -6354722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1521777 is divided by 253625.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5 - 1. Suppose l = p*l - 55. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 95*m - 301. Let t be g(-3). Solve 3*i = -8 + t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c - 17 + 87 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 13 = 2*q + 6*d, -d - 3 = 0. What is the third derivative of -78*j**q - 177398 - 176*j**2 + 177398 wrt j?\nAnswer: -4680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 + 73 - (-2 - -18)) + 126?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 divided by -22988?\nAnswer: -1765\/22988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -66052?\nAnswer: -3\/66052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -17\/3*c**3 + 0*c + 7\/120*c**5 + 0 + 9*c**2 + 5\/4*c**4. Let j(m) be the first derivative of h(m). Differentiate j(s) wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20034348*k**2 + 1467408?\nAnswer: 40068696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-36))\/(40\/(-24)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*k - 598, -736 - 505 = 2*w + 3*k. Let r = -406 - w. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/4 of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 26*n**3 + 7*n**3 + 7*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*i**2 - 56*i**2 + 5*i**4 - 2*i**4 + (0 + 2 + 0)*(-4*i**4 + 4*i**4 + 3*i**4) + 339 - 50*i**4 - 339.\nAnswer: -41*i**4 + 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 5*h**2 - 11*h**2 + 0*h**2.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -37, -112, -227, -388?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2))**(-3\/10)*(u**(-4\/7))**(2\/15) assuming u is positive.\nAnswer: u**(409\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -18007360?\nAnswer: -18007360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -0.3, -3\/5, -112.6 in ascending order.\nAnswer: -169, -112.6, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 11:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((-8475)\/226)*(-6)\/140*2.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 937800.7 days in milliseconds?\nAnswer: 81025980480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 86184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.5+1733.588267\nAnswer: 1735.088267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15136 and 44.\nAnswer: 15136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -295, -671, -1199, -1879, -2711, -3695?\n\"Answer: -76*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1)\/sqrt(4).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -99*r + 1. Let h(f) = -49*f + 1. What is 5*h(k) - 3*y(k)?\nAnswer: 52*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let g(p) = -13*p + 7. Let r(w) = 6*w - 4. Let n(d) = 4*g(d) + 7*r(d). Calculate n(j(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16, -8\/115, 3, -5?\nAnswer: -8\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 - 14 = 0. Let k = -14 + 15. Put 2, u, k in descending order.\nAnswer: u, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15519636047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 8 - 7. Let i(q) be the third derivative of 0*q**k + 0*q**4 + 0 + 0*q + 7*q**2 + 0*q**5 + 0*q**6 + 1\/105*q**7. Solve i(d) = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*l + 363, -2*p - 71*l + 723 = -74*l. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 times -9921?\nAnswer: -436.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.52 - -4.82. Put q, -1, -5 in increasing order.\nAnswer: -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/240 and 9 + (-14)\/(151200\/99345).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) + sqrt(99)*1*6))\/(-1*sqrt(324)*-2).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57071 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1145 and 710.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28b (base 13) to base 15\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1079*k - 1101*k + 154. Calculate the remainder when 9 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927 - 63 = -81*p + 15*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5160026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2590 and 16394.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Let m(p) = -p**2 - 2*p + 3. Let d be m(h). Suppose -y = d*y. Solve -4*x = -y*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1831 + -718. Let w be 16\/12*t\/(-2). Let f = -2929\/4 - w. Calculate the common denominator of 41\/15 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -10)*4*1\/3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -120000221120?\nAnswer: 120000221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - n + 2)*(-4*n**2 - 2*n**2 + 4*n**2) - 33*n**2 + 8*n**3 - 3299*n + 3299*n)*(-16 + n + 16) to q + t*n**4 + z*n**3 + a*n**2 + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 291, 1188, 2713, 4890, 7743, 11296, 15573, 20598?\n\"Answer: 4*z**3 + 290*z**2 - z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 bigger than -2\/15390649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 13705 = 22*q. Let k = q + 4210. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 - 367 = 5*h + 283*c - 279*c, 0 = -3*h - c - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 11*o**2\/2 - 1. Let r(l) = -l + 6. Let m(f) = f - 2. Let h(c) = 3*m(c) + r(c). Give h(v(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + l + 14 = 0. Suppose 0*r - l*r + 4*i - 10 = 0, -r = -i + 3. Put r, -4, 1 in descending order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 + 2*q**2 - 2*q + 1. Determine j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 17, 2, -13, -28, -43?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 124 = t. Let f(b) = -12*b + 5. Let m be (-4 - (-7)\/2)*4. What is the remainder when t is divided by f(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.627 minus -4.8?\nAnswer: -32.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450483 and 70227.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5118, 20526, 46198, 82134, 128334?\nAnswer: 184798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + j)*(2*j**2 - 1 + 1 - 3*j**2 - 3*j**2 + 4*j**2 - 3*j**2 + j**2 + j**2 + (0*j - 3*j + 4*j)*(1 - 1 + 2*j))*(-2*j - 1 + 1).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/2375427 and -16\/90181.\nAnswer: 216163857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1788*r**2 - 14*r - 60. Let q be o(18). What is q rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11 (b) -0.166 (c) 311.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 3, s: 4, a: 1, v: 4, n: 1}. Give prob of sequence gn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(304) + sqrt(304) + 0)*-3 - (-3 + sqrt(2299) + -1))**2)*5.\nAnswer: -1400*sqrt(19) + 116475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (135 + -144 + (1 + -1 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836956978 to the power of 1\/2, to the nearest integer?\nAnswer: 42860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 3*r. Let b(s) be the second derivative of 1\/6*s**4 + 1\/6*s**3 + 1\/20*s**5 + s + 0 + r*s**2. Factor b(h).\nAnswer: h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643032 (base 7) in base 9?\nAnswer: -178846","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiu when three letters picked without replacement from apjuhih.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3254367 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m + 2260 + 58*m - 2260 + (0 - 3 + 1)*(0*m + 2*m + 0*m))*(-7*m + 3*m + 2*m).\nAnswer: -112*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 18*u**2 - 10. What is b(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/2)*u)\/u*u**(3\/5))\/(u\/u**(-1\/2)*u)**(-13))\/((u\/(u\/u**(-7)))\/((u*u**(-7)\/u)\/u*u))**(1\/29) assuming u is positive.\nAnswer: u**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*h - 39. Factor 297 - 90*f + 5*f**2 + f**h - f**2 + 183 - 75.\nAnswer: 5*(f - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o. Let f(i) = -2*i**2 + 6*i + 1. Let n(l) = -5*f(l) + 6*u(l). Differentiate n(s) with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*c - v - 130, 3*c - 97 = -v. Let i = -63 - -111. What is the greatest common factor of c and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434\/9 + -9611\/198. Let c = -101892398570\/26992570759 - -12\/79157099. Let k = c - -3\/1426. Calculate the common denominator of k and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8\/14 - (-902)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/((x*x*x*x*(x*x*x**(-9))\/x)\/x))*x**0 assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 124*g + 5. Let c(a) = 3100*a + 124. Let o(q) = 5*c(q) - 124*z(q). Let h(r) = -15*r**2. Calculate o(h(u)).\nAnswer: -1860*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37796326 and 2.\nAnswer: -75592652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 674*z + 22592. What is k(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 51.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i - 29*i + 453*i**3 - 456*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = 5*n. Solve -6 = -3*u - n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*z - 65*z + 16*z**3 + 115*z wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3470?\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:21 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44762312 is divided by 41562.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 1584 + 4624 - 3040.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/3 + 706*g**3\/3 + 1164*g**2 + 1392*g = 0. Calculate g.\nAnswer: -348, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nrmnffffqnnnz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {e: 3, b: 9, y: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u. Let r(p) = 2*p. Let i(k) = 2*a(k) + 3*r(k). Let x(t) = 5*t. Determine x(i(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32377377, 64754761, 97132147, 129509535, 161886925, 194264317?\nAnswer: 226641711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 3537?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28774 + -39?\nAnswer: 28737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 7*k**2 + k - 4. Let d be n(7). Solve -2 = d*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -318*x + 4992 - 222 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 267260, 534515, 801770, 1069025, 1336280?\n\"Answer: 267255*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1 + (-60390)\/((-60)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0 (c) -0.06 (d) 4 (e) 0.014 (f) -744 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 4*v - 3. Let w(m) = -m**2 + 3*m + 3*m**2 - 2 - m**3 + 0*m**2. Let x = 309 + -311. What is x*t(o) + 3*w(o)?\nAnswer: -3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 5*q**3 - 3*q**3 + (-2*q**2 + q**3 + 2*q**2)*(2 - 1 + 1) + 1204*q**3 - 2414*q**3 + 1234*q**3.\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*v = 391*v + 12. Solve -i + 5*k + 9 = 0, 0 = -0*i + 3*i + v*k + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(3*(-5)\/30). Let n(m) = -114*m + 1. Let l be n(y). Suppose -3*z - 3*s = -654, -5*s = -0*z - 2*z + l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 + (-21)\/(-6). Let j(x) = 2*x**2 - 1. What is the units digit of j(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/3)\/(-3)*-9. Let w = y - -11. Suppose 5*i = -3*s - 19, -w*s + i + 24 = -3*i. Solve 0 = -s*c - 0 - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3524169 is divided by 880988?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 25*y - 1498. What is b(28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from grppuurvrwuuu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.98 in 3\/7, 6032, 5\/6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37830 by -130.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 - 14\/(-7). Suppose -5*m + g = -70. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*r - 34, 2*t = -5*r - 3 - 3. Let d(k) be the second derivative of -k**4\/12 + k**3 + 4*k**2 - 4*k. What is d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1690069195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1112 + 1626. List the prime factors of a.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 + 3*g**2 + 6*g**2)*(2*g - 2 + 3 - 3)*(-50 - 69 + 7) to the form o*g + r*g**3 + i + y*g**2 and give y.\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose -r + 3*w + x = 0, w + 5 = 2. Let h(k) = 1885715*k + 5. Let j be h(r). Round j to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wbwbbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 7, 30, 49, 58, 51, 22?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(147)*-3 - sqrt(3)) + 5 + (sqrt(147)*1)**2.\nAnswer: -sqrt(3)\/22 + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*x + 5*x. Let t = -69.7 + 73. Let f = 2.9 - t. Which is the nearest to f? (a) x (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 divided by 5?\nAnswer: 481\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 - 49*g**2*l - 751*g*l wrt g.\nAnswer: 24*g**2 - 98*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1376078839 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/40147, -73, -5?\nAnswer: 6\/40147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + 15*v - 4. Let f be a(2). Let n(o) = -o**2 + 3*o + 12. Calculate n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2 + -3 + 2). Let q(o) = 2*o + 7. Let j be q(-5). Put p, 2, j in decreasing order.\nAnswer: 2, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 190*o - 316 = -192*o, 4*o - 11 = -2*t + 13 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 + 5)*(-91)\/(-224))\/(137\/1370). Factor l*b**3 + 40*b**2 + 125\/4*b + 15\/2.\nAnswer: 5*(b + 1)**2*(13*b + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2072.0194 and -1.\nAnswer: -2073.0194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*(u\/((u*u**1*u*u*u)\/u))\/u*u)*u*u**(-4\/3))**35*((u**0*u)\/((u**(-3)\/u*u)\/u))\/(u**(-3)\/(u**(-2\/3)*u)) assuming u is positive.\nAnswer: u**(410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 = 9*z + 193. What is the remainder when z is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 136\/195 + ((-85)\/15 - -5). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = -6. Let s(k) = -5*k + 37. Let j be s(7). Determine n, given that 3*n**j + v*n**3 - 3*n**4 + 3*n**5 - 13*n**3 + 4*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-90)\/(-8))*5\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -205, 2\/13, -1\/4 in increasing order.\nAnswer: -205, -1\/4, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 14. Let m(a) = a**3 - 8*a**2 - 3*a - 6. Let o be m(s). Suppose 2*w + w - 2*z = o, 2*w = -z + 25. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5*x**2\/2 + 4*x - 3. Let f(w) = 6*w. Let i be f(-1). Let l(s) = 0*s - 2*s + 3 - 2*s. Determine i*l(n) + 5*u(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*w**3 - 4 + 55*w**4 - 23 - 6*w**3 wrt w?\nAnswer: 220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414553580 rounded to the nearest 1000000?\nAnswer: -415000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/567*(-18)\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 + -130. Suppose 3*v - 2*v - d = -2*k, 0 = v + 3*k - 14. Calculate the remainder when 20 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 16366141?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3596, -3605, -3626, -3665, -3728?\nAnswer: -3821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1 + (-1 - -3)). Solve -d + 9 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 249. Calculate the common denominator of 11\/14 and 5 - (5 - u\/(-12)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, 1826, 2\/11, 0.2 in ascending order.\nAnswer: 2\/11, 0.2, 2\/5, 3, 1826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35522218421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + 80\/15. Suppose -p - 60 = -6*p. Suppose 2*f + p = 2. Which is the third smallest value? (a) -4 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 996044327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 17*u - 6*v - 14 = 0, 0 = 5*u - 3*v - 35 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199*f**5 - 607*f**4 + 2*f**3 - 2*f**2 - 4*f + 1190534.\nAnswer: 11940*f**2 - 14568*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.5, 5\/4, -2.\nAnswer: -2, -0.5, 2\/17, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1278*s**2 - 2*s - 81614.\nAnswer: -2556*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616850 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*k**2*r**3*z**2 + k**2*r**2*z - 931*k**2*z - 2*k*r**2*z**2 - 6*r**3*z**2 - 2*r*z wrt r?\nAnswer: -1164*k**2*z**2 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010 (base 3) to base 2.\nAnswer: -101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11902 is divided by 151?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 19, 29, 53 in ascending order.\nAnswer: -13, 19, 29, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 equal to 1353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + -104 - (-5 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304575, -304567, -304559?\nAnswer: -304551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05253 and 1.0436?\nAnswer: 0.054820308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthgohohhghth. Give prob of picking 2 h and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11509\/11 or 1047?\nAnswer: 11509\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 4 + 2*-5. Let b be n\/(-2) - (-8)\/(-2). Suppose b = -5*g + g + 24. What is the highest common factor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 509229\/17523 - 4\/66.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 392*m - 2366. Let d be v(6). Let o(g) = g**2 - 5*g - 8. Let s be o(6). Put -6, d, s in increasing order.\nAnswer: d, -6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 1. Let d be w(-4). Let l = 11 - d. What is the second derivative of -4*i + 5*i**l + 12*i - 7*i**4 wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 620*t + 772 + 769 - 1541.\nAnswer: 606*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o = -300 + 483 - 275. Suppose 4*i = 2*p + 38, -3*i - i = -5*p - 53. Which is the nearest to -2\/3? (a) 4 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + l. Let h be t(1). Let u be (10\/6)\/(7245\/(-966)). What is the nearest to -1 in -1, u, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 11 = -w, 0 = -70*k + 65*k - 4*w - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10)*150\/(-180). Let i(h) be the first derivative of -g*h**3 - 3\/2*h**2 + 0*h + 4. What is i(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**2 + 2*p + 3. Let h(z) = -891 + 892 - z**2 + 0*z + z. Let i(k) = -k**3 + 10*k**2 - 7*k + 66. Let d be i(10). Give d*h(w) + t(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -26*i. Let j(l) = 181*l**2. What is x(j(s))?\nAnswer: -4706*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-23)*q)*q)\/q**(-16\/5)*q**(1\/3)*q*q**19\/q assuming q is positive.\nAnswer: q**(698\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**8\/24 + h**5\/10 + h**4\/8 + 5*h**3\/2 - h**2 + 1037. What is the second derivative of b(f) wrt f?\nAnswer: 280*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r**3 - 31556876*r**2 - 5658157190420*r + 1543136126412 = 0 for r.\nAnswer: -358601, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157192181 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874, 873, 872, 871, 870?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -95. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 + -1. Let d = 1061782 + -1061782.4000007. Let h = z + d. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45 (b) 114 (c) 0.13471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/210*7*-21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.225991kg to nanograms.\nAnswer: 4225991000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 5*c + 6. Let u be t(5). Suppose -4*k - d + 263 = 0, -41 = -2*k + 5*d + 96. Calculate the highest common factor of k and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -1) + 0 + (20029 - 20032).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-44)*28 + ((-50666)\/(-847) - 60). Let a(d) = -6*d + 7. Let w(g) = 5*g - 6. Let r(l) = -l**2 + 5*l - 3. Let f be r(5). Give f*a(c) + v*w(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7) - (-5 + 408\/42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/48*-9)\/(18\/216)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*29\/9*1. Let b = r + -455\/18. What is the common denominator of 77\/2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*q + 3*p, 7*p - 1868 = -5*q - 1885 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 4, c: 2, g: 1, z: 6}. Give prob of picking 2 c and 1 t.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 123. Let c be b(34). Let n be (8\/10)\/((-6)\/(-15)). Is (c + -3)\/(n\/(-6)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 + 25*r + 15. Let v be ((-2)\/(-5))\/((-3)\/75). Let u be n(v). Calculate the highest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13665481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**11\/c)*c)\/c**(-4))\/(c*c\/c**17*c*c*c\/(c\/(c*((c**11\/c)\/c)\/c))) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1.86.\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -229*q - 175. Determine u(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 87*t + 386. Which is the third smallest value? (a) t (b) 26 (c) 1 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615095329.\nAnswer: 151, 251, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -117, -147, -179?\n\"Answer: -m**2 - 25*m - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 + 2. Suppose -13*j = 7*j - 260. What is the remainder when j is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2942 + 1965 + 3310. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.766381 * 2.\nAnswer: 75.532762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(0 - 1 - 1)*(-3*i + 3*i - 4*i).\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -2*m**5\/5 + 17*m**4\/6 - 16*m**3\/3 + 3*m**2 - 8*m. Factor p(o).\nAnswer: -2*(o - 3)*(o - 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 15*v + 75. What is h(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -15, -7 = -2*s + d - 0*d. Let m = s + -3. Solve m*c = 6 - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3)\/3*-7. Let t = a - -7. Suppose -3*j = -3, 5*z - t*j = 3*z + 11. Solve -z = -3*f + 4*n - 5*n, -f + 2*n = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 - 3*a**3 = 0.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -o - 33, 4*h - 5*o + 120 = -h. Let q(c) = c**2 + 25*c + 107. Let s be q(h). Let p(i) = -3*i + 1. Calculate p(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**4 + 2355*d**2 - d**3 - 2*d**4 + 2349*d**2 - 4703*d**2 + d + 14 in the form g*d**4 + u + a*d + s*d**2 + j*d**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*d**2 - 35752*c**2 + 2*c + 279168*d**3 - 2 with respect to d.\nAnswer: -4*c**2*d + 837504*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(66 - 130 + 180 + 287)*(2*q + 11*q - 3*q).\nAnswer: 8060*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 27*k - 84. Put 0.2, k, -5, 4\/9 in ascending order.\nAnswer: -5, 0.2, 4\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3)*10)\/((-4)\/6). Factor 3 + 3*j**2 - b*j**3 - j + 15*j**2 - 11*j + 3*j**4 - 7*j**3.\nAnswer: 3*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(77)*4*-3)\/(3*sqrt(1008)*2 + sqrt(1008))*-6)**2.\nAnswer: -12*sqrt(11)\/7 + 445\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292129 is divided by 1596?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = y - 284. Let j be (-422)\/y + 18\/(-27). Suppose 0 = x + 5*b - 50 - 11, 3*x = 2*b + 166. Calculate the greatest common factor of j and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9652\/41021)\/((8\/(-34))\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033963449 rounded to seven dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.4, 5\/3, -537, -39, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2163 (base 12) to base 6\nAnswer: -25003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 372\/48)\/(2\/8). Let m be ((-38)\/(-95))\/(p - 286\/290). Is 24 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5 + (-4 - (-72)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 366*t**4 + 32*t**2 + 16*t + 8. Let i(n) = n**4 + n**2 + 4*n + 1. Let w(p) = -4*i(p) + r(p). What is the third derivative of w(j) wrt j?\nAnswer: 8688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442176 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51974 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1517897 (base 10) to base 7.\nAnswer: 15621233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 25*v - 11*v - 12*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*o = 106436 - 106254. Find a, given that 0 + 0*a + 4\/9*a**3 - 2\/3*a**o + 2\/9*a**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11477662 take away 25?\nAnswer: -11477687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151\/12 + 37\/3. Let p = -7147601236\/2121 - -3369920. Let z = 1\/303 + p. Is z <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + 6. Let r(a) = a**3 + 5*a**2 - 6*a + 4. Let m be r(-5). Let i = m - 18. Calculate the highest common factor of s and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105252 and 80556?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -527?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1294*f**2*m**2*w**2 + 53*f**2*m**2 - 62804*f*w + 2*m**2*w**2 wrt w.\nAnswer: -2588*f**2*m**2 + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257545638?\nAnswer: 2, 3, 7, 2044013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-6))\/h)\/h*(h**(4\/3)\/h)\/h)**5\/((h*h**(1\/2)*h*h*h**2)\/(h**(-4)\/(h**(2\/11)\/h))) assuming h is positive.\nAnswer: h**(857\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586406?\nAnswer: 2, 3, 17, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2382*i**2 - 893*i**2 + 54 + 46 + 695*i**2.\nAnswer: -2580*i**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -177547 at least -16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4575 divided by -15.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:28 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128288 and 47053.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11632 + -1cc?\nAnswer: -1180e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1) + 1\/(-1) + 0. Let l be (-6 - -4)*z\/(-24). What is the closest to -0.2 in 2, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10677236 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 50. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -2*t, -2*l = t - l - 2. Suppose 0 = j + 24 - 26. What is s in 9*s - 3*s**j + 4 - 5 - t - 3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/126*(1176\/((-12)\/(-6)))\/10.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3512\/9 + -390. Suppose -15 = -6*t + 3*t. Which is the closest to x? (a) 1 (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526*p - 522*p - 1188000 = 0. What is p rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*b + 37. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * -31.73.\nAnswer: -1015.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2\/(-2)*1. Suppose 5*h = 15, w = 2*u + 3*u + 4*h - 12. Suppose 0 = -v - 3*z + 6*z + 30, u = 5*z - 20. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270046 less than 1.56?\nAnswer: 270047.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -9. Let u = -6 + g. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16324 divided by -742.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -8 (c) -13\/2 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -265694661 rounded to the nearest one hundred thousand?\nAnswer: -265700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 154886746 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 7*j**2 - j + 7. Let o be b(7). Solve o = k + 1 - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*n + 316974, 0 = -4*q + 2 + 2. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347 + 354. Suppose -q*z = -879 - 150. Which is greater: 148 or z?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5369502216?\nAnswer: 2, 3, 13, 47, 366169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -8*d**3\/3 - d**2 - d + 3. Let f be o(-1). Let r = 29 + f. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 13. Suppose y + 3*y - 176 = 0. Suppose -s = -o - 2 + y, 156 = 4*o - s. What is the remainder when o is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154*h*w**2 + 10069*h*w + 6*h + 214092606*w**2 wrt h.\nAnswer: -154*w**2 + 10069*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14030.784 nanoseconds to hours.\nAnswer: 0.00000000389744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6508 (b) -2 (c) -157 (d) 5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672050*0.3.\nAnswer: -201615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(8\/5)*(l*l*l**0)\/l)**(-1\/2) assuming l is positive.\nAnswer: l**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*r*t**3 + 95*r*t*v - 3*t**3 + 4658*t*v + 3*v with respect to r.\nAnswer: -55*t**3 + 95*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 672\/(-420)*(-50)\/(-40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 6, j: 1, h: 2, q: 1, p: 7}. Give prob of sequence hp.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - -4. Suppose -15*a + 2*a + 78 = 0. Let n(g) = 13*g - l*g - a*g. Let x(m) = m. Calculate n(x(c)).\nAnswer: -37*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/98)\/(139842\/(-1428) + 98)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 25\/3*g**5 - 7010*g**4 + 1180484*g**2 - 4414189\/3*g**3 - 708964\/3*g.\nAnswer: -g*(g + 421)**2*(5*g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 88\/5 (b) 4 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in 0, 0.05, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 48*u**2 - 93*u - 40. Let o be h(-46). Calculate the highest common divisor of o and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 2*y**2 + y - 4. Let d be i(0). Let p be ((-1)\/(0 - d))\/((-5)\/620). Is -2\/5 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1413546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b + 11*b - 3*b - 48 = 0. What is the closest to 14 in b, -3\/5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2. Let k(h) be the first derivative of 2*h**3\/3 - 4. Give k(s(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-21 - 12) - -18 - 115.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23.64 * -0.631\nAnswer: 14.91684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10) + ((-4)\/(-8) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -3*3*(sqrt(20)*-2*-2)\/((sqrt(100) + -1*sqrt(100) + sqrt(100) - sqrt(100) - sqrt(100))\/sqrt(10))).\nAnswer: -36*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -241, -246, -253?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 36024216?\nAnswer: 36024212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.5 (c) -3 (d) -0.0062 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3910*f - 7494*f - 10409*f.\nAnswer: -13993*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.9, 0, 11, 1 in descending order.\nAnswer: 11, 1, 0.9, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*k**4 + k**4 - 1225190*k + 1225203*k in the form z*k**2 + a + t*k**3 + n*k**4 + w*k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Work out -122.182 - 205.\nAnswer: -327.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 18\/(-10))\/((-2)\/15). Let y be (-2)\/20 - 1\/2. Which is the nearest to -0.1? (a) y (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 a factor of 734298172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 25 + 1 = 0. Find the third derivative of s**6 - 2*s**2 + 3*s**o + 3*s - 3*s wrt s.\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6526 + -6524. Solve -7*m - 22*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x\/(x**(-6\/13)\/x))\/x*x*x)\/x)\/x)\/x*x**(-10) assuming x is positive.\nAnswer: x**(-111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -d1 (base 16) to base 15\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(sqrt(133) - (sqrt(133) + sqrt(133) + -2*sqrt(133))) - sqrt(133) - sqrt(133)*-2*3)\/(sqrt(7) + 6*sqrt(7)*1 + -2*sqrt(7)*6)*1.\nAnswer: -5 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a. Let d(c) = -c - 1. Let r = 294 - 281. Suppose 0 = -6*w - r + 19. Calculate w*p(o) + 2*d(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**6\/30 - 14*w**5\/5 + 50*w**3\/3 + 1400*w. What is the second derivative of p(u) wrt u?\nAnswer: 12*u**2 - 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilgglglglllglvllggl. Give prob of picking 1 v, 1 i, and 2 g.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10.557 * 256\nAnswer: 2702.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m + 29. Calculate k(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 56 + 0*k**3 - 32 - 24.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2496.54 and 0.5.\nAnswer: 2497.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*p - 2*p. Let j = -2 - -23. Let w = j + -10. Calculate the lowest common multiple of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3444622 hours?\nAnswer: 1240063.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by 3198.\nAnswer: 55\/1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26 = -3*c, 2*c - 52 = 4*g + 5*c. Let o = -7 - g. Let b be 66\/4*4\/o. What is the greatest common divisor of 44 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 + 212 - 212.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*a + 5, 4*q = 1751*a - 1753*a - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = -18. Suppose -8 - w = -3*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/(n\/(n\/n**(-2\/3))*n))\/(n**(2\/9)\/(n\/n**(1\/6))))**(-28\/9) assuming n is positive.\nAnswer: n**(-1078\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25 + 12 - b**3 + 7 - 9*b**2 - 9*b. Let r be m(-6). Let p = 125 + r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/4, 9, 0.088, 0.2, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-47 + 889*m + 1978*m + 47) to z + l*m and give l.\nAnswer: 5734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 6*a**3 + a**3 - a**2.\nAnswer: 7*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -187 in -331, 0.2, -4, 1\/26?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a factor of 11018505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 3908*v**2 + 1269032*v + 95751472.\nAnswer: -2*(v - 2246)*(v + 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 14*l - 4. Let p be z(-5). Let h = -23 - p. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:47 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-14)\/((-14)\/1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 22*v**2 - 2*v - 16. Let h be t(-11). Let g = h - -22. Solve 2*p + 1 = 4*r - 7, -3*p + g = 4*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0*j**2 + 2*j**2 + 2*j**2 - 5*j**2 + 8. What is the lowest common multiple of s(0) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 50 = -12*f. Let r be 5\/f - 5\/10. Solve r*m - 6 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300001?\nAnswer: 13, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14528*l + 1425*l - 14371*l - 4047*l + 7757*l to f*l + p and give f.\nAnswer: -23764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + -3*sqrt(171)*2))\/(sqrt(90)\/(sqrt(60)\/sqrt(6))) - (-3 + sqrt(475) + -1 + (sqrt(475) - (sqrt(475)*-1 + 3)) + -2)**2.\nAnswer: -4356 + 276*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173\/819 + 1\/91. Suppose 4*h = 12, -5*h + 3 + 15 = u. Suppose u = -3*f + 18. Sort 0.5, f, z in descending order.\nAnswer: f, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**3 + 8*h**2 + 3*h - 3. Let f(g) = g**3 - 1. Let t(c) = a(c) - 3*f(c). Let v be ((-4)\/6)\/((-3)\/(-18)). Does 11 divide t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q**(-3\/7))\/(q\/(q\/(q*((q*q**(-1\/2))\/q)\/q*q*q*q*q*q)))**(1\/22) assuming q is positive.\nAnswer: q**(377\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 8. Let t(c) = -c**2 + 3. Let j(z) = -3*s(z) - 8*t(z). Let g(v) = -3*v**2. Determine j(g(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 415*y - 295. Let o be b(34). Suppose -7*c - 2*c + o = 0. What is c rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-97 + 98)\/((-4)\/(-20)). Solve -759*a + 3*h - 13 = -760*a, a + 27 = p*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/9 + 2470*n**2\/9 - 824*n\/3 = 0. What is n?\nAnswer: -1236, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 + 595. Let r be f\/51 - 2\/3. Let h(w) = -w**2 + 9*w - 6. Let g be h(r). Solve 5*o = g*s + 13, 6*o - o + 4*s = 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196391\/660 + -84708\/55. Let h = -1250 - a. Calculate the common denominator of h and -4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*c - 29*c**3 + 72*c + c**4 + 30*c**3 + 2*c**2 + 1 to the form o*c**3 + w + m*c**2 + t*c + z*c**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5488868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5198036 nanoseconds to microseconds.\nAnswer: 0.0005198036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + q - 4*q**5 + 89*q**2 - 89*q**2 + (-q**4 + 3 - 3)*(2*q - 1 + 1).\nAnswer: -6*q**5 + 3*q**4 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 173 - 335. Suppose -156*l + y*l - 42 = 0. Solve -3*s = 5*a + 26, -l - 13 = 2*s + 4*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 178159, 178152, 178131, 178090, 178023, 177924, 177787, 177606?\n\"Answer: -l**3 - l**2 + 3*l + 178158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1059\/6*2168 + 0. Let z = q - 365049923\/954. Let k = z - -10\/53. Find the common denominator of 125\/12 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (15 - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.5 and -1197278?\nAnswer: -10176863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let g be 10\/l*(-32)\/280. Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343+377.132\nAnswer: 720.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -352*s - 7044. Give o(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -26*i + 20. Let h(z) = -5*z + 4. Let j(x) = 11*h(x) - 2*n(x). Calculate j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1122122201010?\nAnswer: -1122122200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15 - 3*s + s**2 + 28*s - 17*s. Let t(f) = -f**2 + 3*f - 2. Let w be t(4). Let u be a(w). Let c(y) = -2*y**2 + 4*y - 1. Calculate c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34384 and 51576.\nAnswer: 103152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2. Let f(k) = 5*k**3 + 3*k**2 + 2*k - 2. Let z(m) = -m + 11. Let r be z(9). Suppose -3*o + 5 = r. Determine o*f(s) + 3*c(s).\nAnswer: 2*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 3. Suppose -g + 12 + v = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*j - 257, 2*g - 5*j = 142 - 11. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*i + 176 - 149 = 0, 0 = 2*f - 4*i + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o**(1\/2)*o)))**(18\/5)\/(o\/(o\/(o*o\/(o\/(o**(-2\/5)*o))*o))*o)**(-1\/7) assuming o is positive.\nAnswer: o**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 11436*n**2 - 65*n**3 + 64*n**3 - 11435*n**2 - 158*n in the form a*n**3 + q*n + g + r*n**2 and give q.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.7463, 2\/3, -0.2, -118, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/3 + 346936*v**2 - 693871*v + 1040806\/3 = 0?\nAnswer: 1, 1040806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from varvnvaaaivnnaaavnu. Give prob of sequence ur.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/18 + -11\/36. Let s = 32.86 + -32. Let z = -0.14 - s. Which is the second biggest value? (a) -0.1 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*i**5 + 25*i - 35*i + 10*i + i**5 - 4*i**2 + 4*i**2 + (4 + 1 - 4)*(2*i**5 - i**2 + i**2) - 2*i**2 + 2*i**2 - 2*i**5.\nAnswer: -116*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8233068 is divided by 865.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*o**3 - 12*o + 21\/5 + 54\/5*o**2 - 3\/5*o**4.\nAnswer: -3*(o - 1)**3*(o + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 + 43*a + 19. What is x(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 199 = 4*k, -5*k = u + 4*u - 190. Suppose -u*c - 24 = -31*c. Put 4, 14, c, 0 in descending order.\nAnswer: 14, 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -13, -109, -327, -715, -1321, -2193, -3379?\nAnswer: -4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyollllollllllyo. What is prob of picking 3 o and 1 y?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {n: 6, u: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 876133 divided by -24.\nAnswer: -876133\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.564 - -0.436. Put -2\/7, 1\/4, p, -54 in decreasing order.\nAnswer: p, 1\/4, -2\/7, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 2, t: 4, n: 3}. What is prob of picking 1 t and 1 f?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 != -19304\/183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 11 = -5*m. Let w be (m*16\/32)\/((-2)\/1056). What is the highest common divisor of w and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/10)\/(2\/5). Let b(s) = s**3 - 6*s**2 - s + 9. Let y be b(6). Suppose 5*o = g - 8 - 4, -y*o + 72 = 3*g. Solve -g = j*k - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 9*k - 476. Let d = -65 - k. Solve -3*f - d = -6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*((0*r**3 + 0*r**3 - r**3)*(3*r**2 - r**2 + 0*r**2) - 774*r**5 - 793*r**5 + 1641*r**5).\nAnswer: 144*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 152 = -124. Solve y + 4*y = -4*s + d, -5*s - 4*y + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 119 = -4*z - 2233, -z + y = 588. Let g = z - -636. Calculate the lowest common multiple of 24 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63806, -127615, -191424?\nAnswer: -255233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400233 and 5167053.\nAnswer: 4497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 5 - 5 - 7) + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -58. Solve -g*r - 2*u = -2, 2*r + 3*u = 6*r + 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1*(9 - 4). What is the greatest common factor of k and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0 (c) -62 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5277708 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313623519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 2*i - 4. Let j be c(6). Let a be 1\/2 - j\/8. Solve a*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from askkacjkss. What is prob of sequence jkak?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3146\/121*(-1)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9854*t + 82 = 9856*t. What is the remainder when 323 is divided by t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168196 at most -168197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94704.\nAnswer: 2, 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*m - 4*i, 11*m - 5*i = 7*m + 25. Suppose -2*j = m*h - 2205, 972 + 312 = 3*h + 9*j. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 738 - 1219. Let s = -480.999999743 - m. What is s rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 12*n**2 + 2*n - 21. What are the prime factors of z(-10)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m + 24. Let v be ((-9)\/(-30))\/(m\/8). What is the third biggest value in 2, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28420 and 2842?\nAnswer: 28420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6335*m**2 - 6342*m**2 + 2 + 229*m**3 - 2 - m + 2*m wrt m.\nAnswer: 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 - 5?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 = -3*f - 6, 5*f - a - 13 = 0. Suppose -3*l - f = -8. Let m(c) = 15*c + 2. Does 16 divide m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 67 - 41 = -j, -64 = 3*b - 5*j. Let z be (-4)\/1*497\/b. Let -76*k**2 + 5 + z*k**2 + 0*k + 5*k**3 - 5*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*g + 25, -s - 1 = -2*g - 6. Let u = s + -3. Find d, given that 2\/5*d**5 + 0 - 2\/5*d**4 + u*d**2 - 6\/5*d**3 - 4\/5*d = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 2*h + 2*k, h + 18 = 4*k - 36. Let r be 12\/h + 3\/(-14). Which is the second smallest value? (a) -1 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 337, 338, 339, 340, 341, 342?\n\"Answer: k + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 1, j: 10, w: 4}. What is prob of sequence kkw?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.10903 - -0.02425. What is g rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/315*6\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 405902?\nAnswer: 3\/405902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 379, 374, 367, 358, 347?\n\"Answer: -p**2 - 2*p + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -7*b**4\/4 + 4*b**3\/3 - 357. Let u(l) = 15*l**3 - 9*l**2. Let a be 45\/12 + 3\/12. Give a*u(q) + 9*k(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, y: 6}. Give prob of sequence yq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-3 + 0)) + 18 + 34 + 3 + 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*p - 6 = 0, 3*x - p - 3 + 17 = 0. Let y be 9*((-7)\/3 - x). Is 3*305\/y - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5*(-5)\/2. Suppose -2*a - 12 = -z, -h*z = 3*a + a + 8. Suppose -2*u + z*u - 134 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12187601 is divided by 286?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**8\/84 - 7*w**4\/12 + 18*w**2. What is the second derivative of t(n) wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 + 58*r + 353. Give j(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:46 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f + 5 = 3*o, 2*o - 10 = -5*f. Let x(k) = -11*k + 5. Let c = -521 - -516. Let d(j) = -11*j + 6. Let l(w) = c*x(w) + f*d(w). Give l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - 46\/14. Let m(t) = 11*t - 9 + 11*t - 23*t. Let n be m(-6). Is a at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8451 divided by 64.\nAnswer: 8451\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 - 772*s - 148996 = 0 for s.\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/3 (b) 12 (c) -1 (d) -0.2 (e) -6.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 380077 (base 9) in base 14?\nAnswer: 5d9d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-7))\/((-5)\/(-160)*8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 3\/20*m**5 - 1\/4*m**4 + 0 + 3\/2*m**2 - 1\/2*m**3 + 6*m. Find p, given that t(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1907 - -1954. Calculate the remainder when 551 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247553 divided by -1.\nAnswer: -247553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(3\/7)*z**4)\/(z**(-1)*z**(-4\/17)))**13 assuming z is positive.\nAnswer: z**(11856\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 812986 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/((-39)\/(-18)))\/(-1 - -2). Calculate the remainder when 1136\/6 - ((-10)\/p + 2) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6578.41 to the nearest one hundred.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*b**2 + 462*b**2 + 5408344*b**3 - 2*b - 5408341*b**3 + 2*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 509*g - 4. Let m be f(11). Suppose 5*d - 4*c + 2252 - 9243 = 0, -c = -4*d + m. Is d 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 10:37 PM and 1:32 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z - 5*k - 25, -z - 5*k = 0. Let o be -9 - 2 - (0 - 6). Let p = o - z. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1462739244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35252 (base 6) to base 10\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 16 - 5*h**3 + 0*h**3.\nAnswer: -2*h**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 4. Let s be o(6). Let p = 13 - s. Let q be -3*2\/8 - 2546\/(-536). Solve q*r + 33 = -2*v - 3*v, -p = v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshshrrhsrrshrr. Give prob of picking 1 r, 1 s, and 2 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.39425 millilitres in litres?\nAnswer: 0.00539425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.31 and -6400?\nAnswer: 6399.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*54\/9. Suppose -l*u - 4 - 16 = 0. Let q = -476 - -477. Put u, 2, q, -0.4 in ascending order.\nAnswer: u, -0.4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66460.9 and -6.2.\nAnswer: -66467.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25003.\nAnswer: 11, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 - 1)\/(-90))\/(3\/(-9)). What is the closest to 0 in -1.9, -1, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/604 and 61\/8?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6a7a90 (base 14) to base 13\nAnswer: -9a2463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 89 = 17. Suppose p*y - 207 = y. What is the biggest value in y, -1\/6, 2\/13, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 - 9\/(-3)*1. Suppose -t - u = -11*t. Suppose t*v + 5 - 75 = 0. What is the greatest common divisor of v and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169333 is divided by 56109?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*0.211\nAnswer: -0.01266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-252)\/(-45) + 8\/(-5) + 2. Suppose s*i - 280 = -i. Let o be 4\/i*-4*10\/(-18). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 293 - 108. Suppose 34*a - 35*a = -n. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157136 - 108645. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 3*g - 17, 58*g - 59 = -4*k + 61*g for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f + 4 - 4 - 22*f + 43*f.\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 10. What is the smallest common multiple of 11 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/120 + 3*u**5\/20 + u**3\/6 - u**2. Let m be t(9). Suppose m + 3 = 2*c. Is 5\/2 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1798 or 0.4?\nAnswer: -1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.452288114 times -2?\nAnswer: -0.904576228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10 - 4 + 22*o - 21*o. Calculate p(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0.1, 3, -1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6951290274 to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-924)\/24)*(-5)\/(30\/168).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 9*l**3 + 14 + 1 - 12*l**3.\nAnswer: -3*l**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -181, -212, -257, -316, -389?\n\"Answer: -7*g**2 - 10*g - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11419 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: What is prob of sequence mot when three letters picked without replacement from ttottwtfomfto?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/117 (b) -4917 (c) 0.22 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g - 1. Let j be m(-6). Let u be ((-4)\/(-102))\/(j\/(-3)). Which is the smallest value? (a) 0 (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 - -101110?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 145878.8392?\nAnswer: 145879.2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 7*b + 5. Let u(y) be the first derivative of 4*y**3\/3 - 13*y**2\/2 + 9*y - 111. What is -11*f(x) + 6*u(x)?\nAnswer: 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*y**4 + 15*y**2 + 64*y + 19*y**4 + 5*y**4 + 0*y**3 + 0*y**3 + 15 wrt y?\nAnswer: 180*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q**2 - 2*q**2 + 3*q**2. Let b(f) be the second derivative of 8*f**2 - 98*f. Let d(o) = -o**2 - 1. Let c(n) = -2*b(n) - 32*d(n). Calculate c(t(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11616*l. Let a(c) = 8*c. Determine a(v(z)).\nAnswer: 92928*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/105 - (-5 - (-38)\/7)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 88*d**2 - 1211*d - 151. Give a(71).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 21*x = 63. Suppose -355 = -x*p - 33. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2 + h - 6. Let m be t(0). Let k be (13 - 1) + (-5)\/(20\/12). Let u be m*(1 + (-15)\/k). Solve -s = -4*o + 15, 4*o - 12 = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 57e?\nAnswer: 57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*d - 917*d - 1198 = 1535*d + 159409 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -57. Put 4\/5, -3\/2, -2, c in descending order.\nAnswer: 4\/5, c, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 18 = -4*t - 12, 2*t + q = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79324251 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53, -133, -227, -341, -481, -653, -863, -1117?\n\"Answer: -a**3 - a**2 - 70*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (175\/500 + (-4)\/(-16))\/(3\/8). Factor -z - 2\/5*m**2 - 2*m.\nAnswer: -2*(m + 1)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 4 + 3 - 1 - 61*g**3.\nAnswer: -62*g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7963*b - 86. Let y be w(-2). What is y rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/360 + q**5\/60 - q**4\/4 - 3*q. Let x(h) be the third derivative of u(h). What is the derivative of x(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*v - 141*v + 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**11*f)\/((f*f**(-10)*f)\/f))\/(f**(-1\/3)*f*f**(-11)*f) assuming f is positive.\nAnswer: f**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -993940 (base 10) to base 4.\nAnswer: -3302222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/8244 and -31\/114.\nAnswer: 156636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w**2 + 42752*w\/7 - 84972\/7 = 0. Calculate w.\nAnswer: 2, 42486\/133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/784 and -83\/134?\nAnswer: 52528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + (-6 - -6) - -6. Let f = -17 - -19. Suppose g = 2*g + i*d - 45, -2*d + 114 = f*g. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 1513 - 1380. Suppose 0 = -v*i + 22058 + 10679. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a - -2016?\nAnswer: 1d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7*o + 2*o - 22 = 0, m - 4*o = 15. Let z be (5\/15)\/(m\/51). Let p = 6 - z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 21*v**2 - 20*v - 50. Calculate x(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286446856 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 10*u = -3*o + 216, 0 = 3*o - 3*u + 132 + 33 + 12 for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159 + -164 - (9 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 2*w**5 + 4*w**5 - w**5 + 3*w**5 + 0*w**5 + (7*w**2 - 4*w**2 - 2*w**2)*(5*w**3 - 6*w**3 + 5*w**3).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*m + 23, 0 = 7*w - 4*w + m - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(-2*w**2 + 7*w**2 - 2*w**2) - 17*w**2 + 61 - 61.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t + 4*d, -3*t + 1 = d - 8. Solve 0 = -3*k - l + 5, t*k + 4*l - 3 = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2*(-4)\/(-22). Suppose -2*r + 4*r = -8. Let v be (-8)\/30*345\/690. Which is the nearest to 0? (a) r (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5466349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2)\/(-1))*(-2585)\/(-235)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 8. Let i = 16 - o. Let b(l) = -l**3 + 2*l**2 + 2*l + 2. Let n be b(3). Is n less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/105 + (-173)\/(-14)*12. Which is smaller: r or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335734 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1116)\/(-576))\/(-31) - (5 - (-7866)\/96 - 0).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007019413 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(44)\/sqrt(4) + 4 + (-1 + sqrt(176) - sqrt(176))*4 + sqrt(176))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**21)**(-6\/25)*f\/((f*f\/f**(-22)*f)\/f)*f*f*f**(-1\/11)\/f*f*f assuming f is positive.\nAnswer: f**(-6911\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1158432429 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.51 + -0.01. Let p be (3 - (-69)\/(-21))*-14. Which is the closest to -2\/5? (a) 1 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y + 5. Give v(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/51042 + -815472457\/408336. Let c = 1996 + o. Find the common denominator of 75\/2 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 15. Let j(h) = 6*h + 40. Let w(b) = -3*j(b) - 8*q(b). Let m(c) = 106*c**2 + 2*c. Determine w(m(v)).\nAnswer: -212*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26162653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185155800?\nAnswer: 2, 3, 5, 421, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 10518984*v**2 + 6915448314240*v - 152144954144128.\nAnswer: 4*(v - 22)*(v + 1314884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2. Let g(x) be the third derivative of -x**5\/60 - 6*x**2. Determine f(g(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/10*(-55)\/44)\/(4*(-2)\/2).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 8. Let b be g(6). Suppose b - 10 = -5*i - 4*p, 3*p = -9. Is (118\/10)\/(i\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - d + 1. Let g be o(1). Let j = 440 + -438. Suppose 0 = 3*h - j - 13. Solve 2*y = -4*i - g, 0 = h*y - 3*y - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169553398 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14678921 to three decimal places.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7956986512 to the nearest integer?\nAnswer: 89202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 + q**5\/5 + q**4\/4 - 5*q**3\/3 - q**2. Let v = -6041 + 6032. Is i(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 12*n + 49. Let f be (18\/(-4))\/((-1)\/2). Let i = f - n. What is the greatest common divisor of 104 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpw when three letters picked without replacement from {p: 1, c: 4, h: 2, w: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2170 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 2. Let l be g\/4*(89 - 1). What is the common denominator of (-646)\/l - (-2)\/(-11) and 69\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from xbxtt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*u + 26 = 0, -4*z + 3*z + 4*u + 10 = 0. Find the common denominator of -119\/80 and (-1)\/(-168)*177 + z + -8.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5236*q**2 - 51 + 114 - 3568*q**2 - 60.\nAnswer: -8804*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/15*k**2 - 2\/15*k - 8\/15 + 2\/15*k**3.\nAnswer: 2*(k - 1)*(k + 1)*(k + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k**3 + 2*k**2 + 0 + 0*k - 1\/54*k**4 - 1\/270*k**5. Factor l(d).\nAnswer: -2*d*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290964954.\nAnswer: 2, 41, 27938597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-18) + (-2)\/(-6). Let t be (4\/(-7))\/(u\/7). Suppose 4*f = 2*f + t. Solve -5 + f = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46166 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 15 + 13, 2*j = -4*x + 23784. Let v = 8919 - x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -53. Let m = 15 + u. Solve -3*n - 2 = -m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15436790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, -4, 9\/5, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2555*w - 2515*w = -1840 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83920000 rounded to the nearest 1000000?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 8. Let g be v(-7). Calculate the remainder when 27 is divided by 0 + g - (-16 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 9. Suppose -11*b + 13*b + 14 = 0. Let s(o) = 4*o + 13. Let x(d) = b*g(d) - 5*s(d). What is x(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -3 (c) 2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*z + 533145, z + 3*z - 5*m + 1066255 = 0. Let b = z - -468570. Suppose -2*h - b = -4*h. Round h to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -2833 in descending order.\nAnswer: -0.3, -5, -2833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31 - -21)\/((1 - -1)*-3). Let a = 0.42 - 0.02. What is the second smallest value in 3, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 15*h**2 - 10*h + 4. Let o be c(14). Calculate the common denominator of ((-250)\/o + 1)*8\/11 and (-9)\/3 - (-32)\/(-60).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -3001412344?\nAnswer: 3001412343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5640, 5622, 5568, 5460, 5280?\n\"Answer: -3*p**3 + 3*p + 5640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + -102?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 196, 308, 470, 688, 968, 1316?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2942401299?\nAnswer: 3, 281, 3490393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -446285563\/534 - -835741. What is the common denominator of h and -47\/22?\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347.6 - 344.6. Which is the fourth smallest value? (a) 0.426 (b) 1 (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:54 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*h - n - 2, 0 = h - 5*n - 27. Suppose -3*v - 390 = h*v. What is the units digit of (-9 + 4)*v\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 288882594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 58588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*q + 120, -2*q - 25 = 4*i - 125. What is the remainder when q is divided by 4\/6 + 55\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 2, p: 1, k: 2}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4*w)\/w**(1\/3))\/(((w**0*w*w)\/w)\/w*(w**(2\/3)\/w)\/w*w*w) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d - 1. Let c be p(3). Let o = -4 - c. Solve x = a + a - 5, -5*a + o*x = -13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**2 - m + m)*(154*m - 278*m - 170*m) to the form k + t*m**2 + a*m + r*m**3 and give r.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 16*c - 23. Let x be z(14). Suppose x*j - 15 = j - o, j + 3*o - 1 = 0. Let b be 10\/14 + 4\/14. Sort j, 5, b in ascending order.\nAnswer: b, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 8\/20 - (-106)\/10. Let d(b) be the third derivative of b**4\/24 - 7*b**3\/3 + 6*b**2 + 4. What is d(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0 + 0 - 4*f + 2*f + 0*f + (4*f - f + 2*f)*(-5 + 2 + 4) - 6*f - 65*f + 19*f)*(0*f + 6*f - 5*f) - 2*f + 2*f - f**2 as m + h*f + i*f**2 and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -92302 divided by -347?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 + 6*d**2 - 24*d - 6. Let l(b) = 8*b**3 - 7*b**2 + 24*b + 7. Calculate -7*f(x) - 6*l(x).\nAnswer: x**3 + 24*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 + u + 2. Suppose -3*v + 4*h - 11 = -0*v, 0 = v - 5*h + 22. Let y be q(v). Suppose 0 = 6*g - g + 20. Is g less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10554155 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 36*i - 69. Let f be c(20). Suppose 23*b + f*b = 28866. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 136572990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7950720 divided by 6560\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 0.078406?\nAnswer: 0.478406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -92, -3, 0 in ascending order.\nAnswer: -92, -3, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326.9 + -327. Which is the nearest to g? (a) 1 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(24)\/sqrt(2))\/(sqrt(4) - 2*sqrt(16)) + -5)*-2.\nAnswer: 2*sqrt(3)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (342\/15)\/(3 - (-2748)\/(-920)).\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2\/3, 2\/23, 3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21587242 is divided by 5350.\nAnswer: 5342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (179 - 57) + -47 + -16 + 34.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70922710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 773749 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 39*m**2 + 63*m - 54. Let o be t(-26). Let x(h) = -4*h**2 + h + 2. Let g be x(-2). Is (o\/g)\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 5*m**2 - 11*m - 4. Let w be u(-5). Suppose -949 = -25*l + w. Calculate the remainder when l is divided by (56\/6)\/((-2)\/(-6)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by 211.\nAnswer: 219\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uff when three letters picked without replacement from uiffdfs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/((-4921)\/70))\/(-35).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -425, -960, -1719, -2708?\nAnswer: -3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 45412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13232 - 1102?\nAnswer: 12130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265731, -531468, -797215, -1062972?\nAnswer: -1328739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (9 - (4 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3103 divided by -27\nAnswer: 3103\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/21, 3, 2\/3, 5, -6, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -40*o + 1764. Let u be i(43). Let z(b) = 11*b - 2. Let a be z(2). What is the greatest common factor of u and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*h - 198 = -2034 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:41 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + 1125\/351)*(-6)\/(-4) and -11\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 0*i = 3*h - 11, -4*h = 2*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2003, 6, -13, 5 in increasing order.\nAnswer: -13, 4, 5, 6, 2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((255024\/2816)\/207)\/((-3)\/16)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101\/5 + (-372)\/(-465)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2831 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37866, 37889, 37928, 37983, 38054, 38141, 38244?\nAnswer: 38363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 70329?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 188 - 157 = 0. Let t be ((-19)\/(-76))\/((-3)\/1932). Let w = q + t. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2448*98.\nAnswer: -239904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (468\/189)\/(162\/(-108)*(60\/27)\/5)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffffflflf.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v + 5*w - 154, -3*v = -4*w - 208. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iociccpvtvcvvp. Give prob of picking 1 c and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27.7*-8\nAnswer: 221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 = -10. Solve 8 = -4*s - 3*c + c, -2*s - a*c - 12 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 72*j - 15614 - 17356. Calculate the remainder when j is divided by 158.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 and -85\/742.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123356 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from oookkhsohukhsh?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 118680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**7\/28 + p**6\/20 - 9*p**5\/40 - p**4\/8 + p**3\/2 + 2*p - 14. Find b such that z(b) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let i(k) = -2545*k. Determine i(y(b)).\nAnswer: -10180*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/15)\/b)\/b**(-2\/5))**(3\/14))**(-48) assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 783250947*m**2 + 204391*m - 247 wrt m.\nAnswer: 1566501894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6490 and -47\/328925.\nAnswer: 7236350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let z(j) = -2*j**2 - 5*j + 9. Let u(d) = 3*d**2 + 4*d - 7. Let x(h) = -5*u(h) - 4*z(h). What is x(c(q))?\nAnswer: -28*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -41\/9 (b) -4 (c) 3\/8 (d) 4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -0.1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 93 = -2*g + 40, -3*l = -g + 77. Let j = 101 - g. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o\/(o*o**(10\/7)))\/o*o*o)\/o)\/o)\/(o\/((o\/((o**22\/o)\/o))\/o)))\/(o\/(o\/(o*o\/o**(2\/47)*o*o)*o)*o)**(-45))**(-25) assuming o is positive.\nAnswer: o**(-1272050\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*a - 236. Let l = 63 - a. Let t(i) = 2*i + 3. Let s(o) = -4*o - 7. What is l*s(y) + 5*t(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360732022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1279 - -71c5?\nAnswer: 8460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4478830 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)\/c**31 assuming c is positive.\nAnswer: c**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7265, -3, 0.3, -5\/4, 0.11.\nAnswer: -3, -5\/4, 0.11, 0.3, 7265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*x - 570, -x + 6*x = 3*j + 1423. Calculate the remainder when 127 is divided by (-3 + x)*(-4 - (-119)\/28).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/3 - 8957*x**3\/3 + 17905*x**2 - 26853*x = 0.\nAnswer: 0, 3, 8951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -4 (c) 7135\/4 (d) -5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*h + 26, 0 = 4*d - h + 22 - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q. Let i be f(-1). Let z(h) = 3*h - 5*h - 1 + h**2 - i - 2*h. Let m be z(6). Solve -4*s - 4*g + 16 = 0, 2*s - 5 = 2*g - m*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403052273 to the power of 1\/2, to the nearest integer?\nAnswer: 20076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*n + 33701 + 33340 - 72123 = 0 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 25. Suppose 2*a - 3*s = a + 26, -2*s = 2*a - 28. What is the remainder when z(a) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368772 * -0.1.\nAnswer: 36877.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 81.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 73. Let p be 15*66\/(-9)*-1. Let g = p - t. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142209387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/21, -51\/11, -3\/4, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((0 + sqrt(833) + sqrt(833))*-6 + (sqrt(833) - sqrt(833)*-1)*-3))**2 - -2*(5 + 2 + sqrt(833) + 4).\nAnswer: 14*sqrt(17) + 2429050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 + -4.8. Sort 2, d, 8 in ascending order.\nAnswer: d, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 984 and 284952.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.369556 times -362\nAnswer: -133.779272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1175609930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-95))\/(21\/315)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(14)\/(sqrt(8)\/sqrt(4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.035 (b) -6 (c) 1\/11 (d) -2 (e) 414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*o - o**2 - 393*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**6\/120 + 2*q**5\/15 + q**4\/12 - 7*q**3\/6 + q**2. Let w be (-11)\/(-88) - 126\/(-16). What is the units digit of a(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 53. What is z(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose -z = -t - 0. Let n(a) = a - a**t - a. Let j(v) = v. Determine j(n(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0 - 5) + (-9 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (0 - 5 - -7) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 - 6*w - 8. Let t be x(-6). Let f = t + 15. Factor -f*b - 7 - 11*b + 17 + 3*b**2 + 17.\nAnswer: 3*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - sqrt(119)*-2*3) + sqrt(119))*4)\/(sqrt(84)\/sqrt(192) + sqrt(84)\/(1*sqrt(12) + sqrt(12))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -207*c + 1. Let v be o(3). Let m = -82 - v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31288\/35, 0.5, -4, 2\/3, -7?\nAnswer: 31288\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 346864*k**2 - 156618*k - 1?\nAnswer: 693728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 a when four letters picked without replacement from {b: 8, a: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453296 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5507 or 2872?\nAnswer: -5507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(351))\/sqrt(3) + 4 + (sqrt(208)*-6)**2 + -3.\nAnswer: 6*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.2 + 9.2. Which is the biggest value? (a) t (b) -1.6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(17) - sqrt(51)\/sqrt(3)))*-5*-5)**2.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23506 - 7574 = -1480*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -325, -322, -321, -322?\n\"Answer: -g**2 + 6*g - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 62. Let s be (1 + 0)*-1 + 2 + k. What is the second derivative of s*t + t - t + 6*t - 11*t**2 wrt t?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36 and 65\/50211.\nAnswer: 200844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*r + w, -5*r + w - 11 + 35 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - u = 28 + 40, -4*x + u = -54. Calculate the highest common divisor of 42 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(8\/(-180)*-5). Let t(v) be the first derivative of -5\/2*v**2 + 0*v**q - 3 + 0*v - 1\/2*v**4. What is the second derivative of t(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12213626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1094, -2285, -3476, -4667, -5858, -7049?\n\"Answer: -1191*d + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48990264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, q: 1, s: 1, d: 2, v: 3, e: 1}. What is prob of sequence dsv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837541?\nAnswer: 179, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39231439.656 + 0.3\nAnswer: 39231439.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042802719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505298638.\nAnswer: 2, 13, 23, 139, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(-1\/2)*v)*v**(-1\/4))\/((((v\/v**(-1\/2))\/v)\/v)\/(v*v*v**(-2\/5)*v)))**18 assuming v is positive.\nAnswer: v**(603\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 456941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 10*x - 4 = 0. Suppose 0*f - 5*f + 296 = 2*l, 2*l + x*f - 284 = 0. Find the second derivative of 1 - 21*q**4 - 1 + 139*q - l*q wrt q.\nAnswer: -252*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -899*m*n**3 + 17*m - 2*n**3 + 2885*n**2 wrt m?\nAnswer: -899*n**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -252 - -247?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2. Let f = -385 + 386. Let t(r) be the first derivative of 0*r + 1\/2*r**2 + f. What is d(t(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/84 + 8*c**7\/75 - 17*c**6\/150 - 28*c**5\/75 + 2*c**4\/5 - 2*c**2 + 4. Suppose s(y) = 0. What is y?\nAnswer: -6, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -3*y + 6*y. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 354 + 423. Calculate the remainder when d is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5683*f**3 + 10594*f + 1.\nAnswer: 34098*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - -8.88. Let g = -0.06 - 8.94. Let h = g + i. Which is smaller: 3\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = a - 3, 3*a - 3*z = -2*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:47 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084458 is divided by 10325.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6106 is divided by 507.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87794, -175615, -263530, -351533, -439618, -527779, -616010, -704305?\nAnswer: -792658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 + 6*j + 2. Let k(v) be the second derivative of 0 + 2*v**2 - 13\/12*v**4 + 3*v + 11\/6*v**3. What is 6*k(z) - 11*o(z)?\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 36 - 8 + 8 + 4 to r*j**2 + i*j + u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1 times -0.08345?\nAnswer: -0.675945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zzi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 957, 1903, 2833, 3747, 4645?\nAnswer: 5527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-26 + 50 - 18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*i - 15*i - 252 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 1. Let t be 2\/(-1 - 5\/(-4)). Solve -t*k + d*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*h + 25, -4*y - 5*h - 38 = 23. Let t = 17 + y. Is (-2 - 5\/t)*614 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103868 divided by -2\nAnswer: 51934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 - 810*y - 7031. What is c(-9)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 77. Let s be a(-21). Suppose s*i - 6791 + 2115 = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (sqrt(57) - sqrt(228)*-4) + sqrt(285)\/(sqrt(10)\/sqrt(2)))*-4)\/(((1*sqrt(240))\/sqrt(10))\/(4*sqrt(32)\/sqrt(4))).\nAnswer: -176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**18\/(s*s\/(s*(s**27\/s)\/s))*(s\/(s*s**(-25)))\/s**(-14))**(-30) assuming s is positive.\nAnswer: s**(-2430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 - 15*m + 60*m + 3. Let f(v) = 22*v + 1. Let u(l) = 5*f(l) - 2*z(l). Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**11\/z*z)**(-34\/3) assuming z is positive.\nAnswer: z**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 23) + (18 - -1 - 9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 2*h + 5*h + 10)*(6*h**2 - 6 - 26*h**2 + 4) to the form b*h**3 + q*h**2 + p*h + r and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96481 and 112161.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 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: b\"What is the uth term of -2780, -2782, -2784, -2786, -2788?\n\"Answer: -2*u - 2778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 342, 512, 682, 852, 1022?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/(-236)*9\/(-12)*(-20)\/(-45)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b03 - -856?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - -51 - (5 - (-3 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 5) + (6 - -1). Suppose 0 = o*n + 25, -2*n + 1 = -4*i + n. What is the units digit of i\/16 - 37\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286677*n - 4407 = -287016*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -503063 + 904686. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and -67596.\nAnswer: -250105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-24)\/(h\/h**(-24)) assuming h is positive.\nAnswer: h**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-4)\/80)\/((-37)\/5).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11107 + -4583. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2.7 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (594\/(-990)*15\/6)\/(15\/(-1190))\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 696.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 5130879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l + 56. Let o(d) = -2*d - 14 + l. Let k(h) = -7*h**2. Calculate k(o(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4045 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19152 and 13376.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18848, -37695, -56542?\nAnswer: -75389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {y: 1, b: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/72 - (-2)\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1102643978 and 1149.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 5*d - 3. Suppose l - 3 = -0*l. Let w be (9\/(-36) - 69\/(-36))*l. What is p(w)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (3 + 10 + 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123552)\/2340*(-25)\/(-20).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1716 + 5716. What is c rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 926212, 926199, 926186?\n\"Answer: -13*n + 926225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 - 2568*o**2 + 79428*o - 276432 = 0.\nAnswer: -886, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 4. Let f be m(-3). Let i be (12\/9)\/(31\/(3906\/56)). Suppose -i*v = -4*t - 15, 5*t + 15 = 2*v + f. Solve 3*x - 6 = p, v + 6 = 2*x - 3*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002078906 to six decimal places.\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 132?\nAnswer: -2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w - 61. Let j(o) = -312*o - 1469. Calculate -143*b(k) + 6*j(k).\nAnswer: -13*k - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6975 + 23361 - 632*v**2 + 317*v**2 + 316*v**2 + 15604.\nAnswer: v**2 + 31990","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 2*y + 3. Suppose 0 = j + 5*f + 8, -2*f = -3*j - 6 + 16. Let c be v(j). Suppose -435 = c*l - 2*p - 6358, -l = 5*p - 1963. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*(p*p\/p**7)\/p)\/(p\/p**(-7)*p**7))\/((p\/(p*(p**(-1\/4)\/p*p)\/p))**(7\/10)*(p\/((p*p**0*p)\/p))\/(p*p**(-2\/17))) assuming p is positive.\nAnswer: p**(-19713\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from yyhhyhyyyyyyyhhhyyy.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j - 16. Let y(i) = -11*i + 18. Give -6*f(c) - 5*y(c).\nAnswer: -5*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6527 by 107.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d)*(55 + 47 - 121).\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -90, -459, -1 in decreasing order.\nAnswer: 26, -1, -90, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from jdddjjidddjjjij.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12960349.\nAnswer: 1291, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 38. Solve 0*i = -j*d - 3*i, i = 5*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 10. Let v be s(5). What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1946 + 1926 = -8*p - 4*x, -5*x - 35 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/239 - 801\/6692. Let h = s + 5\/14. Which is the closest to -1\/4? (a) 2\/7 (b) 2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 0 + 0 - 2 + 10. Let h(j) = 3*j + 2. Let i be h(-2). What is g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 17, 2\/13 in descending order.\nAnswer: 17, 2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/4 + 3199*m**2\/2 - 5220375*m\/4 + 251296875 = 0.\nAnswer: -7148, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -299?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:32 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 7*l - 10*l)*(-3 + 4 + 1) + 126*l + 76*l - 9*l.\nAnswer: 171*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1509 + -1509. Let s be (2\/(-20))\/(12\/30). Let v be (-1)\/(2 - 1) + -1. Which is the closest to s? (a) 3\/5 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((5 - 0) + -10 + -1 + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i**3 + 9*i**2 - 34*i + 220. Let n(l) = 6*l**3 + 3*l**2 - 12*l + 76. Give -17*n(a) + 6*v(a).\nAnswer: 6*a**3 + 3*a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, 0.5, 1511 in ascending order.\nAnswer: -9\/7, 0.5, 1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by 4.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87689246?\nAnswer: 2, 191, 229553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*h - 0*h, 2*y - 5 = -h. Suppose 5*b - 56 = -3*k, -y*k - 4*b - b + 44 = 0. Differentiate 21*p - 19 + k - 13 - 7 with respect to p.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -983928.1.\nAnswer: -983928.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37626.35 + 37574.65489. Let u = b - -51.7. Round u to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700062197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14988871*y + 50178751.\nAnswer: 14988871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/26 + (-10)\/(-4). Solve 2*z + k + 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6 and -74\/3459.\nAnswer: 6918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) 3 (c) 272592 (d) 3\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/(12\/(-1116)). Let t = -135 - l. Calculate the common denominator of -75\/22 and (4\/t)\/(84\/(-343)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-4)\/(-6))*-2. Find the common denominator of (-6 - q) + 85\/(-6) and 53\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 + h - 3. Let y(c) = c**2 - 7*c - 5. Let i be y(8). Suppose 3 + 6 = i*g. Let l be o(g). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/270 and -13\/1107?\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Suppose -h - q + 4 = 0, h + 4*q = -p*q + 13. Calculate the greatest common divisor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 443988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 6*h + 6. Let d(m) = m**2 + 1. Let s(r) = -4*d(r) + n(r). Let g be s(6). Suppose 52 = g*f - 5*z + z, z = -2*f + 57. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9 - (-632)\/12. Let o = 25 - i. Let v be (9\/o)\/((-2)\/12). Solve v*y = -2*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 575, -5, -2, 74 in increasing order.\nAnswer: -5, -2, 74, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -153\/23879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**8\/6720 - u**7\/504 - u**6\/90 - 13*u**4\/6 - 8*u. Let i(x) be the third derivative of v(x). What is i(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/70*(-9051)\/(-47841))\/(3*1\/10)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmiiiiimimimmmimmiii. What is prob of picking 1 m and 1 i?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -655?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*s)\/s*s**7*s*s*(s\/s**(-1\/3))\/((s*((s**1\/s)\/s)\/s*s)\/s))**(10\/9) assuming s is positive.\nAnswer: s**(160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, -1, -13, -6 in descending order.\nAnswer: -1, -6, -13, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -200, -443, -698, -971, -1268, -1595, -1958?\n\"Answer: -b**3 - 236*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 9*w + 7. Let o = -13 - -7. Let n be (-2)\/(-12) - 5\/o. Let h be 1*(n - -9) + -3. Let u(m) = -2*m**2 + 5*m + 4. Determine h*u(q) - 4*b(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 13 + 48)*(-5*b**2 + 4*b**2 + 0*b**2)*(-26 - 3 - 4).\nAnswer: 2112*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 4.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {c: 3, k: 4, v: 3, z: 1, q: 2, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let u(d) = -d**2 + d + 1. Let o = 17 - 6. Let b = o - 10. Let h(m) = -2*m**2 + 3*m + 3. Let x(r) = b*h(r) - 3*u(r). What is x(q(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3741 - 3744)\/(-3 + (-1 - 89\/(-22))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(1 - 1 - 1) - 3 + 0 + 1 + 2 - 1 + 1)*((101 + 98 + 501)*(5*s - 4*s + 0*s) + 3*s - 5*s + s).\nAnswer: -699*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 + 2*y**2 - 4*y - 12. Let r(w) = -w**3 + w**2 + 1. Suppose 0 = 5*x - 20 - 0. Let o(v) = x*r(v) + g(v). Is 8 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3668 = 4*r, 1601 = 3*r - 5*j - 1166. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*l. Suppose 8 = d - l. Suppose -3*t + 10 + d = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1365 - 1380 - (3 - (-1 - -88)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7383*z - 7357*z + 3 + 9 as h + k*z and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-479 - 141*m + 479 + 4*m - 3*m - 2*m + (-m + m - m)*(3 - 3 + 1))*(0*m + 3*m - m) in the form d*m + w + f*m**2 and give f.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 40 = -0*w. Let t = -17 + w. Round t to 0 dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, z: 4, k: 2, l: 5}. Give prob of sequence zkz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 8:10 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/45? (a) -0.1 (b) 8 (c) 374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42217*c**3 + 19183*c**2 - 3 wrt c?\nAnswer: -253302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111.0000179 + -111. What is f rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 222317. Let t(m) = m - 135. Calculate p(t(q)).\nAnswer: q**2 - 270*q - 204092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 24*z + 203 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 439*p**2\/3 + 1744*p\/3 + 580.\nAnswer: (p + 2)**2*(p + 435)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41780767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18509711 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*c**2*k - 2*a**2*c**2 + 2*a**2*k - 1080*a**2 - 15*a*c**2*k + a*c**2 + 48*c**2 wrt a?\nAnswer: 2*c**2*k - 4*c**2 + 4*k - 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -29. Let y be w\/3*6\/4. Let l be y - -3*2\/2. Is -8\/5 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfgfozfpffpppp. What is prob of sequence popg?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133, 270, 407, 544?\n\"Answer: 137*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/18 - -1)*2. Let c = -22 - -22.4. Let j = c - 2.4. What is the third biggest value in -1, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15051323070*m**2 - 15051323070*m**2 - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7302 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4117633*c - 4117389*c - 20984 for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, n: 4, q: 1}. What is prob of sequence qqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 133226 = 5*b, 168*h - 53294 = -2*b + 167*h. Is b a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 21 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871039037383671 + -0.3.\nAnswer: -871039037383671.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7008527 decades in months?\nAnswer: 84.102324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 2*d**2 - 47*d + 0*d**2.\nAnswer: -2*d**2 - 47*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5990518 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -6 (c) 2\/24421 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1\/4 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*q + 113*q - 234*q. Solve -2*l - g = -5*l, -2*l + 3*g = q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/22 or -9.1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 30.404, 1\/4, -22, -9, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 2*h - 4. Let b(p) = p**2 + p. Let x(g) = 5*g**2 - 10*g - 8. Let v(k) = -6*b(k) - x(k). Let d(z) = 7*c(z) + 4*v(z). Factor d(n).\nAnswer: -2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 3:20 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -0.07. Let d = -1.05 + h. Let a = 24\/23 + -189\/115. What is the closest to a in d, 0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*s - 1489, -w = -4*s + 148 + 208. Let x = w - -382. What is the highest common divisor of x and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 12. Is 7 a factor of i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/3, -1\/18, 0.525, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 47*p**4 - 3*p**2 - 2*p**2 + p**2 + (-23*p**3 + 14*p**3 - 254*p**3)*(-3*p + 0*p + p) to m + q*p**2 + c*p + z*p**4 + r*p**3 and give z.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 212?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*a**3 + 248*a**2*n + 51966*n wrt a?\nAnswer: -303*a**2 + 496*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33967087 and 1.\nAnswer: 33967087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -882*w - 3032. Let x(t) = 219*t + 758. Let r(s) = -6*f(s) - 25*x(s). Find the first derivative of r(z) wrt z.\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027745 rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**7\/105 + f**5\/15 - 3*f**2\/2 + 1. Let j(z) be the second derivative of u(z). What is the third derivative of j(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(21\/(-6) + 2). Suppose -5*w + w + z = 0. Let l = w - -9. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964567059.\nAnswer: 3, 12277, 26189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 35208.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7928*f**2*o**2 + 12*f**2*o - f**2 - 163*o wrt o.\nAnswer: 15856*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 2*l + 1. Let i(n) = 26*n**2 + 3*n + 11. Let a(u) = 6*g(u) + i(u). Is a(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 4450*k + 218208.\nAnswer: -2*(k - 2273)*(k + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, 5, -30\/49, -0.14, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 11*g + 9\/2*g**4 + 0*g**3 + 0*g**2 + 13. Differentiate k(l) with respect to l.\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let y(d) be the second derivative of d**7\/1260 + d**4\/6 - 3*d. Let x(l) be the third derivative of y(l). Determine x(a(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28914 divided by -366\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20996 and 1595.\nAnswer: 1154780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/1169 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 233883400647?\nAnswer: -233883400647.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48438\/(-13041) - (-23)\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 3*d**4 - 2*d + 3*d + (-3*d**4 + 2*d**4 - d**4)*(2 - 3 + 3) - d**4 - d**4 + 5*d**4 + 2*d**2 + 2*d**4 - 2*d**2.\nAnswer: 4*d**4 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*m**2 - 1231*m**3 - 951*m**2 + 314*m**2 + 318*m**2.\nAnswer: -1231*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:25 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/30*15\/(-10) - (-24 - -5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -2*s - s, 3*s + 4 = -4*y. Solve 3*u = -s*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -320, -470, -620, -770, -920?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/559 + 2135\/18447. Sort 2\/67, n, 3 in increasing order.\nAnswer: 2\/67, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119489.\nAnswer: 3, 7, 53309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -221 in 0, 3, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:08 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7984 - -0.7984. Sort x, -1, 2, -16, 3.\nAnswer: -16, x, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17617 and 49375322.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (4 - 2824\/(-24)). Let k = -125 + r. Sort 5, k, -103, 0 in decreasing order.\nAnswer: 5, 0, k, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5587883 + -0.124\nAnswer: -5587883.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9865333 is divided by 287?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1150 + 43?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = 2*i. Suppose -i*u - 91 = 59. Is ((-15)\/u)\/(2\/1004) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 78*r**2 + 626*r + 55689. Calculate v(-79).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/10 - (-5)\/(-20) and (1\/20)\/((-2)\/188)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -21*t + 17*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5542 and 0.4.\nAnswer: -5541.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 + 29015*x**3\/2 - 167310*x**2 + 1092105*x\/2 - 393255 = 0.\nAnswer: -2913, 1, 9\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47406 and 6?\nAnswer: 47406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539 divided by 50?\nAnswer: 3539\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*b - 840 = 2*b, -4*t - b + 835 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827808?\nAnswer: 2, 3, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 5*b + 48 - 11 + 5*b as i*b + j and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/5)*l)**(-42)\/(l\/(l*l**0*l))**26)\/((l**(-1\/3)\/l)**1*l**(1\/5)\/l**8) assuming l is positive.\nAnswer: l**(-859\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/((-4)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.243 + -0.143. Which is the closest to w? (a) -5 (b) 0.1 (c) -3 (d) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 60 = -6*l. Let f = -4694 - -4704. What is the remainder when l is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19071 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0 + 170. Let x = p + 76. Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 + 29 = 5*m, 32 = 3*m + 5*s. Let g be (m\/(-10))\/((-6)\/15). Which is the nearest to -2\/3? (a) g (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/((-18)\/21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-14 - (9 - 19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -107, 1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39 - -31?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.8, 1\/18, 4, 11\/2.\nAnswer: -0.8, 1\/18, 2, 4, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -211508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -4, -22, -52, -5, 5 in descending order.\nAnswer: 5, -4, -5, -22, -50, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/(-6) + -4 - 6) + (-25)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((((q**(-4\/7)\/q)\/q*q*q)\/q*q)\/q)))**(-4)*(q*q**(-10\/3))**(-50) assuming q is positive.\nAnswer: q**(2582\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 94 = 64*i - 12*m + 10*m, -2*i - 4*m = -i - 232 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 12) in base 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*l - 90. Let h be (l\/(-5))\/(9\/(-69)). Let c = -2 + 5. Solve 0 = -c*o + 3*g + 12, -3*o = -g + 5*g + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15078727 less than or equal to -75393629\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015855457 to the power of 1\/2, to the nearest integer?\nAnswer: 31872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let f be w(-5). Is (f*-16)\/(-1) - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188137 + 189732 = 29*u for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*u + 55. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99818536, -99818537, -99818538, -99818539, -99818540?\nAnswer: -99818541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.9 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 28072.8303 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -132, 0 in ascending order.\nAnswer: -132, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2356 = -4*p - 2*l, 0*l - 1766 = 3*p + 2*l. Let y = p - -987. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212325761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 13*n**5\/20 - 2*n**4\/3 + 5*n**3\/6 - 3*n**2\/2 + 1515*n. Let z(x) = x**3 - x**2 + x. Give -d(j) + 6*z(j).\nAnswer: -7*j**3 + 2*j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(5\/5)*188. Suppose -1589 = 18*w + 2893. Let i = w - g. List the prime factors of i.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8696313?\nAnswer: 3, 966257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752*r = 3*n + 750*r - 147, r = 0. Calculate the remainder when 187 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768874044 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 + 1 = 0. Let m = 4 - -3. Let b = d + m. Solve 4*i + 3*h = b, -2*h - 2*h + 24 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 39\/5 of a tonne?\nAnswer: 7800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 72835*g**2 + 490*g. Let y(r) = 597*r**2 + 4*r. Calculate 2*d(t) - 245*y(t).\nAnswer: -595*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(216) + 2*(sqrt(216) - -2*sqrt(216)) - sqrt(216))*-2)\/(2*sqrt(192) - sqrt(84)\/sqrt(28)) + 3.\nAnswer: 3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-27)*w)**(-3\/32)*(w*(w\/(w\/(w*w*(w\/w**26)\/w*w)))\/w*w)\/(w\/(w*w\/w**34)) assuming w is positive.\nAnswer: w**(-841\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 5\/6*a**3 + 4*a - 1\/120*a**5 + 0*a**2 + 1\/24*a**4 + 0. Let f(j) be the second derivative of u(j). What is f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 8. Let m be 136\/22 - (-78)\/(-429). Let j be -9*3\/(-3 + m). Give l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16 = 0, 1 - 5 = p - 2*z. Let a(y) be the second derivative of y**2\/2 - 2*y. Let f(t) = -t - 3. Calculate p*a(b) + f(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227 or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4907*p**3*w**3 - 11*p**3*w + 27*p**2*w + 26*p**2 wrt w.\nAnswer: 29442*p**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281126 is divided by 467?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 1 (b) -0.12 (c) 151 (d) 24 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -152016 (base 8) in base 13?\nAnswer: -1b92b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 182610 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*m + 10, -3*z + 2*m - 7 = -8*z. Suppose 2*s - 5*p = -2*s + 87, 5*p - 39 = -z*s. Suppose -15 = -3*c + s. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 1. Let x(u) = -19*u**2 - 67. Let d(t) = 18*g(t) + 2*x(t). Let b(p) = -p**2. Give b(d(w)).\nAnswer: -4*w**4 - 608*w**2 - 23104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**2\/2 - 5. Suppose 0 = 5*t - 10*t. Let v(k) = k + t*k - 2*k. Calculate v(m(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200743233 is divided by 89818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**2*j*r**2 + 21861*i**2*r**3 - 3*i*r**3 + 30*i*r - 65*j*r wrt i?\nAnswer: -14*j*r**2 + 43722*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:13 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1089, 1550, 2321, 3408, 4817?\n\"Answer: a**3 + 149*a**2 + 7*a + 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*u - 15 = -0*u, y - 11 = 2*u. Let s(r) = -r**2 + 1. Let b be 3 - 1\/((-3)\/6). Let d(w) = w - b + 1 + 1 + 0*w. Give y*d(f) + s(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -14 - 1079\/(-40) - 17.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 i when three letters picked without replacement from {i: 1, k: 1, v: 1, o: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 7:30 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -429*p + 15079 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 967*u**2 - 47*u - 47. Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -21*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 794, 279, -1146, -3937, -8550, -15441, -25066?\n\"Answer: -76*u**3 + u**2 + 14*u + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.32 - 0.32. Let n = -34.71 + 34.6. Sort -0.2, o, n, -2\/9.\nAnswer: -2\/9, -0.2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*d**3 - 8*d**2 - 4*d**5 - 3*d**2 + 127*d + 52*d + 11*d**2 wrt d?\nAnswer: -80*d**3 - 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-5) + 77\/5. Let a = 21 - v. Suppose 12 = 4*k + a*i, 4*i = -3*k + 2*k + 3. Solve -4*d + 29 = k*j, 3*j = 10 - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 57. Put 4, u, 3 in decreasing order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149722 or -154079?\nAnswer: -149722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*i + i - 2, -3*p - i + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -32, -83, -150, -239, -356?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*b + 172, -b + 1116 = 5*p + 909. Calculate the remainder when 1289 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - o = -4, -3*o = 5 + 7. Let h = b + -1. Let v be (h\/(-7))\/(4\/12). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/7 (b) 0.5 (c) -0.06 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 231*v - 388. What is k(-77)?\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/9 + 3558502*g**2\/9 + 28467920*g\/9 + 18978592\/3 = 0 for g.\nAnswer: -1779243, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 - 428*w - 10. Determine s(71).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-24)*30\/(-20)*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1305566592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.6595 to one dp.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*133.99.\nAnswer: 1205.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 116.1 and 1515.6.\nAnswer: 175961.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 42) + (-5 - -15) + (-44 - (-3 - -6))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-20)\/(-18)) - 13926\/(-844).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1188*t + 1306 wrt t.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -2*a**5 - 8*a**3\/3 + 6. What is the third derivative of b(p) wrt p?\nAnswer: -240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + z + 3*z - 2, 4*z = r + 1. Suppose 47*l - 72 - 13 = 9. Put -7, r, l, 4 in descending order.\nAnswer: 4, l, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 2\/9 (c) -5 (d) -691 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -9 + (3 - (-6 + (-1 - -6))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((18\/(-6))\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l\/(l\/(l*l\/l**(-6))))\/(l**(-4\/7)\/l**(-1\/2))*(((l*l**(-2\/7)*l)\/l)\/((l*((l**(-2)*l)\/l)\/l)\/l))\/(l\/l**0*l)**(-25\/4) assuming l is positive.\nAnswer: l**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -3\/50 (b) -1\/7 (c) -22 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30133201 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 4*r**2 - 85*r**2 - r.\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1396 - -0.2.\nAnswer: -1395.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -65*l - 1821. Let h be z(-28). What is the closest to -1 in 2, -5\/76, h, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 497. Let w(a) = -2*a - 249. Let b(h) = -3*d(h) - 7*w(h). Let p be b(0). Suppose -j = -5*j + p. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5514036 != -5513994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 29*v - v**2 - 16*v + 14 + 2*v**2. Let a be s(-11). What is the hundreds digit of a\/10*(-3560)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5 - 66*b**4 - 225*b**3 - 150*b**2 + 228*b + 216 = 0.\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25466166 - 1?\nAnswer: -25466200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 212101 (base 3) in base 7?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14372 is divided by 2872.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32880 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(209) - (2*sqrt(209) + sqrt(209))) - sqrt(209) - sqrt(209)) + (sqrt(209) - 4*2*sqrt(209)))\/(-5*(sqrt(11) - (sqrt(176) - 2*sqrt(176)))))**2.\nAnswer: 2299\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8626 minus -245?\nAnswer: 245.8626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1609.1899 - 1609. Let p = 0.189902806 - h. Round p to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1643\/6 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + 1.7. Let o = 2 + -1. Let v = o - 1. What is the nearest to 1 in -4, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -34. Let n(o) = 3*o**2 - 23*o - 24. Calculate the remainder when g is divided by n(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 25515 = -38*p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -79*r**2. Let f(l) = 2185*l**2 - 3135*l. Let p(j) = 21*j**2 - 30*j. Let s(k) = 2*f(k) - 209*p(k). Calculate s(y(i)).\nAnswer: -118579*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgx when three letters picked without replacement from ygxtg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/4246920 and 8\/15651?\nAnswer: 157136040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**8\/5880 + p**3\/6 - 4*p**2. Let t(l) be the first derivative of s(l). Determine a, given that t(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318541 is divided by 259.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 72. Let h(o) = 2*o**2 + 4300*o - 3. What is r(h(k))?\nAnswer: -6*k**2 - 12900*k + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19085 + -8128. What are the prime factors of y?\nAnswer: 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4563*g**3 - 312*g - 312. Let k(u) = -73*u**3 - 5*u - 5. Determine 312*k(a) - 5*l(a).\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*z + 2*a, -2*a = 3*z - 4. Let l = z + 1. Find the third derivative of -3*c**5 - c**l - 3*c**2 + 5*c**5 - 2*c**5 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*i**2 + 3 + 3\/2*i**3 - 9\/2*i = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.11, 17\/3, 4 in descending order.\nAnswer: 17\/3, 4, 3\/7, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3 - 51*l**2 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -3616, -5681, -7776, -9895?\nAnswer: -12032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4474 is divided by 233?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Suppose -71*s - 1464 = -1535. Let h(r) = -r - 22. What is s*h(y) + 3*a(y)?\nAnswer: 2*y - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -103 - (713 + -780)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = p + 92399997, -5*p + 0*p - 2*d - 462000009 = 0. Let y be p\/6 - ((-20)\/(-8))\/(-5). What is y rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 3*p**2 - 7*p + 3. Let m = 626 - 622. What is the remainder when d(5) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0.1908?\nAnswer: 3.1908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 h, and 1 v when four letters picked without replacement from {i: 4, h: 1, v: 1, m: 10, g: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 3:02 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 42*j + 6. Let d be a(21). What are the prime factors of (d - (-884)\/(-3))*(-3)\/2?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453801057\/28988 - 291\/7247. Let m = n - 15756. Which is smaller: m or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19799 + -13882. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*k + 117, 14 - 1 = -5*k - 102 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**6)\/l**3)**(-2\/113)*(l*l*l*l\/(l*l*l**(1\/6))*l)\/l*l*l**(-6)*l**3*l*l\/(l**(1\/5)*l) assuming l is positive.\nAnswer: l**(2507\/3390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -92. Solve -m = 3*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -17*m**5\/10 - 35*m**4\/3 - 59*m**3\/3 - 6*m**2 - 278*m. Solve d(g) = 0 for g.\nAnswer: -3, -1, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7579\/16 + 1583115\/3344. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -286\/9. Let u = 1149 - 1152.9. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 40. Suppose -n = 5*c, -2*b + b + c = -428. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -18345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a - 95 = 82*a + 39 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + -11?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -31. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200100102122 (base 3) to base 8\nAnswer: 1301321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342160)\/(-91260))\/329*(-3)\/2.\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m - 3. What is g(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-102)\/15)\/(8\/10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/6 - 24\/(-36). Suppose f - 4 = n*z - 0, 4*f - 16 = -3*z. Let -1\/2*k**5 + 5\/2*k**f + 7\/2*k**2 - 9\/2*k**3 - k + 0 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7130*v**2 + 3671*v**2 - 1401*v**2.\nAnswer: 9400*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k**2. Let c(m) = 9 + 6 - m - 15. What is c(o(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - d = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1 + -4))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8979696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132.1 * -175.1.\nAnswer: 23130.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 6*k + 5. Let j be b(6). What is the common denominator of 660\/j - (-2)\/(-1) and -2\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/714 and -83\/1190?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 710.06922 times 4\nAnswer: 2840.27688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let x(c) = 5*c - 3. Let n(q) = 0 + 0 - 1 + q. Suppose 3*s - 2*t + 0*t + 20 = 0, 0 = -s + 5*t - 11. Let a(r) = s*n(r) + 2*x(r). What is m(a(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n. Let l(d) be the third derivative of 1\/15*d**5 + 0*d**4 + 1\/40*d**6 + 0*d**3 + 4*d**2 + n + 0*d. Find the third derivative of l(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 159*x - 2. Let c be g(0). Put 3, 4, c, -1 in increasing order.\nAnswer: c, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/66 + (-186)\/(-66). Suppose 4*h + 2*s = -39600002, 8*h = g*h - 2*s - 49500002. Round h to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3771634*k**4 - 6187600*k**2 wrt k?\nAnswer: -90519216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**7\/7140 + r**6\/3060 - r**5\/1020 - r**4\/204 - 68*r**3\/3 + 85. Let j(h) be the third derivative of k(h). Factor j(d).\nAnswer: 2*(d - 1)*(d + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-15\/7))\/t*t\/((t\/t**(-4\/29))\/t*t))\/(((t*t**(-5)*t)\/t)\/(t*t**15)) assuming t is positive.\nAnswer: t**(4467\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127424*r**5 - 486*r - 23?\nAnswer: -2548480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 7*i**2 + 5*i - 3. Let z = -197 + 189. Give k(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 29 = 9*z. Let k(l) = 19*l - 29. What are the prime factors of k(z)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 862.8 - 863. Which is the smallest value? (a) -3 (b) -1\/3 (c) -5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -3\/89, -0.2, -3?\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2017*l + 137. Let i be n(16). Suppose -2*s - 43 + i = 2*t, -4*t = s - 16183. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 0\/(6\/2). Find the second derivative of -5*x**2 + 115 - g*x - 115 wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)*w)\/w*w*w**(-2\/15)*w assuming w is positive.\nAnswer: w**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5318 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 + 5*v + 206 + 58354*v**3 - 5*v - 58353*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-2*q + 3*q + q) - 506*q - 1181*q - 4050*q + (-4*q + 4*q - q)*(0 - 4 + 3).\nAnswer: -5738*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30086, 60166, 90248, 120338, 150442, 180566, 210716?\n\"Answer: u**3 - 5*u**2 + 30088*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 19 + 2. Let y = b + -3. What is the highest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 0) + -14 + 11 + -53?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 3:33 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*90\/120.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5162715.\nAnswer: 3, 5, 47, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.54 - -3.1536?\nAnswer: 19.6936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.68539 * 0.22.\nAnswer: -1.4707858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 381, -1, -5, 30 in descending order.\nAnswer: 381, 30, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j*m**4 + 2242*j*m**2 + j + 549*m**5 wrt m.\nAnswer: 72*j*m + 32940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134514073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 48. Let r(a) = -2*a + 14. Let m be r(p). Find the common denominator of 7\/(14\/(-380))*(-1)\/m and 16\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b70aa + -5?\nAnswer: -b70b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5adb6 (base 14) to base 11.\nAnswer: -141a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (99\/15)\/((-2)\/(-10)). Suppose 0*c - s = -3*c. What is the first derivative of -v**3 + 3 - c*v + 11*v wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10003711.326 to the nearest 100.\nAnswer: -10003700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2\/3*s**3 - 5\/2*s**2 + 1\/6*s**4 - 2*s + 0. Is m(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18*12\/9*(-21484)\/(-2096).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 5*o - 19*o - o**2 - o**2 - 11 - o**2.\nAnswer: -3*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 713 - 712.96246. What is a rounded to three dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 3. Let v be d(-2). Suppose 4*b - 22 = -3*x, v*x = b - 2*b + 14. Factor -31*p**2 + 5*p**b + 3*p + p**4 - 3*p**5 + 25*p**2.\nAnswer: -3*p*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 47 - 3*j**2 - 89 + 4*j**2.\nAnswer: 2*j**2 - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 - 9. Give j(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 3. Let w be (-2)\/7 + 138\/42. Let i be p(w). Suppose j = 4*j - 9, 2*r - 4*j - 30 = i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31778335 to the power of 1\/2, to the nearest integer?\nAnswer: 5637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 1\/13, -2, 0.23, 0.1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 0*j + 3*g = g, 0 = 8*j - 512*g + 515*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 9?\nAnswer: 92\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klallalllvaka. Give prob of sequence al.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1780 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndt. What is prob of sequence nd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26765087 to the nearest integer?\nAnswer: 5173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) - (-2)\/(180\/51)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/(-6))\/(3\/(-9)). Suppose 6 = -3*q - 3, v = 4*c - 2*q. Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d + 146 = 40*d - 50 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58\/18 - 12\/54. Suppose 0 = -y*i - 3*g + 132, -5*i + 2*g = -g - 244. Let f = -39 + i. What is the lowest common multiple of f and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - k**2 + 0*k**2 as s + d*k**2 + t*k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -264 - -5?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 - 4*w**2)*(2 - 2 - 2) - 1599*w**2 + 788*w**2 + 654*w**2.\nAnswer: -153*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 8302*p**4 - 132404*p**3 - 346908*p**2 + 1786806*p + 2009610 = 0.\nAnswer: -4135, -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i**2 + 44*i**2 - 109*i**2)*(-9*i**2 + i**3 + 9*i**2).\nAnswer: -81*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -4.938.\nAnswer: 0.9876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230477, 230488, 230513, 230558, 230629, 230732, 230873?\nAnswer: 231058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/16)*n)\/(n\/(n\/(n\/n**30)*n)) assuming n is positive.\nAnswer: n**(509\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 4*a + 8. What is o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*j - 0*j - 33, 8*j - 58 + 127 + 0 = -5*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 9. Suppose 4*y - 3*p + 0*p = 254, p = -y + 67. What is the greatest common divisor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/8 + 795181*r\/4 - 795183.\nAnswer: (r - 4)*(r + 1590366)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4751, -17378, -37897, -66302, -102587, -146746, -198773?\nAnswer: -258662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -2*t - v, 2*t - 4*t + 135 = -5*v. Suppose -4*y + t = -10. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238883126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 1\/3*b**3 + 5\/2*b**2 - 3 + 6*b. What is the remainder when n(-7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/38)\/((-27)\/(-24))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 9*l - 5. Let t be u(8). Let a = 11 - 8. Solve -a*x + 0*x = -t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-7175)\/(-275) + 119\/385.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 7, -2, -6, 4 in ascending order.\nAnswer: -6, -2, 0, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 + 855*b**4 - 2538*b**3 - 12*b**2 + 3384*b = 0?\nAnswer: -1, 0, 2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1 - 3*u + u**2 + 0*u + 4 - 1. Let l be i(3). Let q(r) = 1 - 2 - 5*r - l*r**2 - 2 + r**2. Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 11) in base 2?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-41998)\/(-6) - 4\/(-12). Round u to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 1 - 3 = 0, 16*p + 10*p - 15420 + 15389 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69, -389, -1905, -5007, -10223, -18081, -29109?\n\"Answer: -88*d**3 - d**2 + 161*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8326 or 9338?\nAnswer: 9338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 189?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(12\/4)\/12*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-410)\/(-30))\/(28\/(-84)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-32)*272\/(-1768)*-14?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/234 and 133\/1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -94\/9, -1.9296 in descending order.\nAnswer: 5, -1.9296, -94\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/2*(-1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 10*q + 0*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlzafff. What is prob of sequence naa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12400444 (base 5) to base 8\nAnswer: -356217","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 182\/39*6\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.3. Let j = -50 - -43.9. Let m = j - -4.1. Which is the closest to q? (a) 5 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -625 divided by 125.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(88)\/(sqrt(24)\/(sqrt(9)\/sqrt(3))) + sqrt(44)*-1 + 1*sqrt(539))*-6*5.\nAnswer: -900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*m - 14*m + 6*m - 3*m - 3*m + 5*m + (-1 + 2 + 6)*(-m + m + 2*m).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x**3 - 75 + 399 + 3*x**2 + 15*x**3 + x**2 - 4*x**3 in the form t*x**2 + f*x**3 + r + s*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.273 and -0.5?\nAnswer: -0.1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l**2 - 1. Let x(f) = -f**3 - 4*f**2 - 17*f - 14. Let y(v) = 2*t(v) - x(v). Calculate the least common multiple of 36 and y(8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24787499 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178789 and 97889?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 2*d**2)*(358*d**2 - 601*d**2 + 388*d**2).\nAnswer: 145*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 758797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -4785, -9975, -17009?\nAnswer: -25887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243603036 (base 7) to base 12.\nAnswer: -5149963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:37 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 25\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/11 (b) -17\/7 (c) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + o - 9. Let m be t(5). Let x = m - 70. Let z = 52 - x. Solve 5*i + 0*c - 3*c - 13 = 0, -z = c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 + -109)) + 125 + -55 + -54.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1237*r*v - 2318*r + 528403*v wrt r.\nAnswer: 1237*v - 2318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-264)\/(-484) - (-50060)\/22 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 11*r + 11. Let f be q(-3). Suppose f*g - 13*g - 8 = 0. What is the lowest common multiple of g and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3 + 2)*(-4 + 3 - 1)*(-26 + 26 - 5*t) as n + c*t and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:36 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 9*m**2 - 2*m - 4. Let z be a(-7). Suppose -z = -0*i - 3*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*a\/(a\/(a*a**4*a)))\/a*a\/(a\/(a\/((a**(-3\/14)\/a)\/a*a)))*(a**0\/a)**39)**(-2\/57))**(1\/2) assuming a is positive.\nAnswer: a**(403\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-18) + (1 - (2 + 0))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 20817.97g?\nAnswer: 20817970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4247139 and 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -74dab (base 14) to base 5\nAnswer: -33020322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 17*a + 8 = 0. Let k = -16 + 36. Calculate the least common multiple of a and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3155 + -3155.2041. Let u = 175.9959 - h. Round u to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q + 142. Let n be s(-20). Find the second derivative of -55*o + o + 220*o**n + o + 2 wrt o.\nAnswer: 440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 6*t**3\/7 - 11676*t**2 - 47644032*t\/7 + 2686302219456\/7 = 0.\nAnswer: -5106, 9364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/140 and -21\/2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(0*b + 0*b + 2*b) - 10 + 10 + 10*b)*(-32*b + 32*b - 2*b**3).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29846885 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o - 23 = -5*i, 5*o = -5*i + 35. Let x be (-2)\/(0 + (-1)\/o). Solve -w = 2*v - 6*w, 22 = x*v + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7108*i**3 - 99*i**2 - 33801881?\nAnswer: -21324*i**2 - 198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16727977 take away 2?\nAnswer: -16727979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -20*y + 4. Let z(d) = -7*d + 1. Give -3*k(a) + 8*z(a).\nAnswer: 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57866 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 570697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 32*p**4 + 16*p**3 + 104*p**2 - 148*p + 56 = 0. What is p?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3163 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 - a**2 + a - 1. Let l be f(1). Let s = 1 + 0. Let i = s - -1. Solve i*r = l + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.3 + 0.3. Let s = -5 - j. Let u = -6 + s. Which is the third smallest value? (a) -0.2 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*v - 1 + 1879*v**2 - 989*v**2 + 1 - 894*v**2.\nAnswer: -4*v**2 - 108*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.2, 18024, 5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2700*g**7\/7 - g**5\/5 + 37*g**3\/3 - g**2 - 7*g + 2072. Find the third derivative of k(c) wrt c.\nAnswer: 324000*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/16)\/((-6)\/(-16)). Suppose -2*b = 2 - 0, -2*d - n*b = 0. Solve 10 = -7*x + d*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = 0. Let u = -4 + -6. Let s be 4\/u*(-5)\/(-9). Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*((-862)\/(-93527))\/(-4*(-6)\/(-28))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 94 + 3*y + 2*y.\nAnswer: 2*y - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -5464610.499?\nAnswer: 5464610.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert e0ee4 (base 16) to base 11.\nAnswer: 57a220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 - 3*z - 2. Let m(w) = 0 + 2 - 9*w**2 + 43*w - 41*w. Let q(a) = -2*f(a) - 3*m(a). Differentiate q(t) wrt t.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 l, and 1 f when four letters picked without replacement from llzclllfcclzd?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 5, 1, -65\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.1. Suppose 36 = -3*v - 36. Let o be v\/(-9) + 6\/(-9). Which is the closest to y? (a) o (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2359490, 4718982, 7078474, 9437966, 11797458?\nAnswer: 14156950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 3. What is m(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 83*j**3 + 3*j**2 + 5*j + 22. Let q(z) = -82*z**3 - 2*z**2 - 4*z - 21. Let t(o) = 5*q(o) + 4*v(o). What is the third derivative of t(r) wrt r?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 238\/21 + 4\/6. Suppose -b = -3*f + 3*m, 4*f - 5*m - 16 = f. Calculate the least common multiple of f and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36600\/75 - (0 - 12). What is the highest common divisor of 300 and b?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2.188.\nAnswer: 0.8752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f. Let m(v) = 11*v**2 + v. Give h(m(c)).\nAnswer: 77*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 + 1\/2*r**2 + r + r**3. Calculate g(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p + 5. Suppose -2*u = -p*o + o + 91, 5*u = 4*o - 66. Solve 0 = -2*z - 3*q - o, 0*z - 3*z + 4*q = -14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, s: 3, v: 1, e: 1, d: 4, y: 2}. Give prob of picking 1 g and 1 s.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3007 and -32\/279.\nAnswer: 27063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/834405?\nAnswer: -1\/834405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -322, -1\/6, 0.4, -210?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978609890?\nAnswer: 2, 5, 1609, 60821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from oooommoomooooooooo?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 192 = -36*v - 20. Let q(a) be the second derivative of 4*a**2 + 0 - 17\/6*a**3 - a. Let r(p) = 6*p - 3. Calculate v*q(d) - 11*r(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 33. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 37*f - 1244. Give v(-25).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/57 and (704\/(-209) - -5) + 5 + (-7)\/1.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11440 * -1.25\nAnswer: 14300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46330051 is divided by 721.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, 3, -0.3 in descending order.\nAnswer: 3, 2, 1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 64 - -72 - 15) + 25 + 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000812709806 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49151 + 49146 = 5*x, 0 = -5*b + x + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**8\/672 - a**7\/105 + a**6\/80 + a**5\/30 - a**4\/12 - 86*a**2. Factor o(l).\nAnswer: l*(l - 2)**2*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-191)\/((-38391)\/134))\/(2\/(-147))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*o + 6. What is the highest common factor of 7 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.4425 and -21.\nAnswer: -16.5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 - 2*f - 1. Let o be g(-3). Suppose 0*l = 14*l - 28. Solve l*s = 3*s + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {i: 2, y: 4, b: 2, m: 1, v: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5616 = -588*c + 594*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.137823 and -0.2.\nAnswer: 3.937823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and -2*11*(-1131)\/58.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (2*sqrt(50))\/sqrt(10).\nAnswer: 2*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16728.04 tonnes?\nAnswer: 16728040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 + 2*f**3\/3 - 5*f**2\/2 - f - 6. Find z, given that o(z) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.117788s to minutes.\nAnswer: 0.2186298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u + 28. Suppose 2*j + 1980006 = -3*i, 5*i - 3*j + 3300012 = -u*j. Round i to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 127791*u**2 + u - 63897*u**2 - 16*u**3 - 63894*u**2.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*w**4 + w**3 + 725*w**2 - 4*w wrt w?\nAnswer: -1584*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h + 40. Let j be f(8). Let g = 105 - j. Which is smaller: 1\/79 or g?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 34. Let h be -2*d*60\/(-80). Solve 4 + 11 = -h*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4097 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, p: 1, o: 2, m: 1, h: 2}. Give prob of sequence sp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 199 + 64. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, -3, 0.09, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:29 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 29. Let c(m) = 4*m - 30. Let n(j) = 4*c(j) + 5*k(j). Suppose 284*a = 264*a + 340. What is the remainder when n(a) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1029388755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153)\/sqrt(9) + -1 + 5)**2*-5.\nAnswer: -2205 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -24322?\nAnswer: 1459.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c. Let h(d) = 2*d - 3. Let o be h(2). Let b(p) = -6 + o + 5 + p**2. Determine g(b(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1531 - 168 = 3*n, -20 = 4*u. Suppose n = f + 5*f. Let t = 23 + -7. Calculate the remainder when f is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 162*w**2 + 4*w - 309. Let j(r) = 6*r + 2*r**2 - 307 - 3*r + 107*r**2 + 53*r**2. Let q(c) = 3*a(c) - 4*j(c). Differentiate q(z) wrt z.\nAnswer: -324*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115551 and 462204?\nAnswer: 462204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -616, -1323, -2198, -3325, -4788, -6671, -9058?\n\"Answer: -14*a**3 - 609*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b72 - 5?\nAnswer: -3b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(5040\/296 - 17).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4312, -4179, -4022, -3835, -3612, -3347, -3034?\nAnswer: -2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/a**(-5))\/(a**(-3\/8)*a**(1\/4)))\/(((a*a**(-2\/7)*a)\/a*a)**(-10))**(-43) assuming a is positive.\nAnswer: a**(-41329\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynnynynan. Give prob of sequence nny.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1988*m - 448*m - 20505 + 3453 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1453 and -1.\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 5. Suppose -3 = -4*v - q, 5*v - 4*q = -q - 9. Let u be r(v). Let g be -7 - (-1 + -2) - 3. Put 3, g, u in descending order.\nAnswer: 3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Let n = i - 4. Which is the nearest to 1? (a) n (b) -0.2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 1218308*f**2 - 2436622*f - 1218312.\nAnswer: 2*(f - 609156)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26015.63 micrometers in meters?\nAnswer: 0.02601563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9097.949 weeks to milliseconds.\nAnswer: 5502439555200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {k: 2, x: 4, n: 1, i: 3, f: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -5*g + 3*h, g + 0*g + 4*h = 33. Calculate the greatest common divisor of 196 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19200 and 12107700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 41*z + 55. Calculate h(-24).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**10)\/r**(-17)*(r**(-8))**(-6\/5) assuming r is positive.\nAnswer: r**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -43019045385 and 1.2.\nAnswer: -43019045383.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(104) - sqrt(104)*-2 - sqrt(104)))\/((3*sqrt(12)*-3)\/sqrt(6)*5).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247981 - 2727793\/11. Let w = -0.24 + -0.05. What is the smallest value in w, d, 0.3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d + 62. Let m be k(2). Solve m = 2*y, -4*n = -0*y - y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 313*z**2 + 31*z + 32. Let j be c(-1). Is 317 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 5*a**2 - 8*a + 2. Determine p(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 371.201 - 371. Let r = f - 0.2. Round r to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8953064.1 rounded to the nearest 100000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52594, -105325, -158322, -211717, -265642, -320229?\n\"Answer: -22*r**3 - r**2 - 52574*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77172036 to the power of 1\/2, to the nearest integer?\nAnswer: 8785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -126?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i**2 + 124*i - 64*i - 61*i + (2 + i - 2)*(4*i - 4*i - i) to y + g*i**2 + j*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3620345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 - 5*v**3\/3 + v**2\/2 - 3*v + 6. Suppose 2*n = -4*n + 54. Let c be (-112)\/(-24) + (9\/3)\/n. Determine z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10919 + 15444. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474 is divided by 112?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 49, 73, 95, 115, 133?\n\"Answer: -a**2 + 29*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:25 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.7*-4.\nAnswer: 102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 1 + 88\/16)*2\/(-39).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1226*c**2 - 1041. Let n(d) = -4909*d**2 + 4165. Let a(l) = -2*n(l) - 9*p(l). What is the derivative of a(g) wrt g?\nAnswer: -2432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 381, 1 in increasing order.\nAnswer: 1, 4, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*10\/(-55))\/(28\/(-21)*6\/188)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*1 - sqrt(1377))*-2 - 4*(sqrt(612) + -1)**2.\nAnswer: -2452 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 3*i. Suppose i*r + 54 = 5*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + -8 + -3)\/(-13 - (-170192)\/13092).\nAnswer: 3, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - g - g)*(-2 + 2 + 1) - 3*g + 5*g + 8*g to j + d*g and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7718, 7716, 7710, 7700, 7686, 7668?\n\"Answer: -2*x**2 + 4*x + 7716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z - 239. Let v = z - -153. Let s = 8 - v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14910 and 3.\nAnswer: -14907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 948, 1013, 1150, 1395, 1784, 2353, 3138, 4175?\n\"Answer: 6*l**3 + 23*l + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1050790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let p be k(2). Suppose -3*t - 15 = -8*t. Suppose 2*x + 15 = t*x. What is the highest common factor of x and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v + 4. Let u be r(-4). Suppose 4*n - u = z, 4*z - 2*n + n + 69 = 0. Is -18 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444661*z - 444718*z = 228 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.12, 147\/2, 0.2, 11, 7, 1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 + 3) - -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 9) to base 14\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 2\/3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvhghhhvhc. What is prob of picking 1 v and 2 h?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*z**3 + 3*z + 8*z + 17*z**3 - 10*z + 11*z**2 in the form t*z**3 + b*z**2 + h*z + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (120\/(-21))\/(-4)) + (-23136)\/5061\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288 + 1595 - 552)*(0 - 2 + 4)*(2*u + 0 + 0)*(0 - 2 + 1 + (-1 - 4 + 3)*(-3 + 0 - 1)).\nAnswer: 37268*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143993 and 4426280.\nAnswer: 1376573080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690322380013 minus 37?\nAnswer: 690322379976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 176 + 144)*(-3*w + 3 - 3).\nAnswer: -822*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + -19 + 98 + -53\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((1 - -1)*1). Suppose 2*x - 10 = -4*b, o = -2*b + 3*x - 2*x + 11. Let v be (-1 + 0)\/(1\/(-3)). Solve 0 = 4*a + b*g + 4, v*a + g = -0*g + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = 3*l, -3*l + 20 = 2*q + 2*q. Suppose 0*a = -a + m - 10, -50 = q*a - 3*m. Let g(o) = o**3 + 10*o**2 + o + 9. Calculate g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y + 34*y - 74*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaacac. What is prob of sequence ca?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:57 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 302*a**2 + 3*a - 2. List the prime factors of d(1).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 5)*(-297*r + 1425*r - 738*r)*(3*r - 3 + 3)*(4*r + 4*r - 6*r) as s*r**3 + a + o*r**2 + m*r and give s.\nAnswer: -4680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 at most 1654109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193320376*z - 165042686?\nAnswer: 193320376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 13*l - d + 191 = 0, -4*d - 20 = 0. What is the highest common divisor of 1127 and l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2198 - 2060. Solve -g = -3*l - 43*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 13104?\nAnswer: 13107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147074 and 443336.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10556 + 4321 = -215*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 14, -33, -0.5, 0.5, 8.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.05 + -12. Round l to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -247498 to the nearest one thousand.\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3354667 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 = 2*t, 3 = 5*t - 2*s - 42. Suppose -20 = 4*n, 0 = 2*r - 3*n - t - 6. Let p(b) = -b**2 - b + 20. Let o be p(r). Solve f = 6*f - o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/(544\/1360).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36710841.58 + -0.13\nAnswer: 36710841.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1256.21 + -1262. Let v = 0.79 + q. Suppose -2*z - 2 = 0, -5*x = -4*z - 5 - 4. Which is the biggest value? (a) v (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -17, -31, -1\/2, 1\/4, 2\/53?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/8997 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*i + 469 = -0*i, -2*f - 2*i + 314 = 0. List the prime factors of f.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*w**2*z**4 - 2*w**2*z + 4*w**2 - w*z - z**5 wrt z?\nAnswer: 300*w**2*z**2 - 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124903660 divided by 12490366?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -2*(-1)\/2. What is the second derivative of -24*c + i*c**3 + 28*c - 26*c + 41*c**3 wrt c?\nAnswer: 294*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166018 is divided by 297.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -3831, -13111, -31231, -61137, -105775, -168091, -251031?\nAnswer: -357541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -230 - 2 - 10\/5. Let g be c\/(-72)*(-1 - -5). Let a = -4 + g. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 + -221. Calculate the greatest common factor of a and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b - 6. Suppose 33 - 3 = 5*r. Suppose z = w + 5 - 3, 4*w + 4 = 0. Let p(o) = z + 7*o + 6 - 2*o. Determine r*p(n) + 7*m(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 31 = -27. Let q = 55\/2 + g. Let f be 2\/4*(3 + 0). Which is the third smallest value? (a) q (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -10\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000104032091 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516484.\nAnswer: 2, 129121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13650 divided by 30\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/4*(-8)\/3. Suppose 14 = 2*k + v. Let j(p) = 163*p + 344. Let o be j(-2). Solve -o = k*r + x, r - 5*x + 2 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(21)*6)\/sqrt(7) + (sqrt(108) + 3)*-3)*-6.\nAnswer: 54 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -v + 99, -56 = -4*r + 5*v - 0*v. Let w be ((-18)\/15)\/((-2)\/120). Let b = w + -17. What is the remainder when b is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2. Let i(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 - 141*r**2 - 1\/60*r**5 + 0. Calculate p(i(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -255, 2038, 6883, 14280?\n\"Answer: 1276*s**2 - 1535*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Let p(r) = -26*r + 3. Give p(g) + 5*y(g).\nAnswer: -21*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:27 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, t: 6}. What is prob of sequence cc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 - 15244*a**2 - 152622*a - 137376 = 0. Calculate a.\nAnswer: -9, -1, 7632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -24*t - 11. Let j(v) = 8*v + 4. Let l(b) = -4*d(b) - 11*j(b). Let f(a) = -6*a**2 - 1. Determine l(f(r)).\nAnswer: -48*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-18))\/((-64)\/(-6) + 0). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 2*u = -92, -2*r = 2*u - 92. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -1) - (29 - 36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3897067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -3*u + 250. Which is the closest to u? (a) -0.4 (b) 0.3 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060785546 rounded to 6 decimal places?\nAnswer: -0.000608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/753 and 50\/2139.\nAnswer: 536889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.059 and 2.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 246208447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2113?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395340.\nAnswer: 2, 3, 5, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**3*j*j**(-2\/5)*(j\/(j**(-3\/5)\/j))\/((j*j\/(j*j**(-2\/11)*j)*j)\/j) assuming j is positive.\nAnswer: j**(441\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2*f + 1\/3*f**3 - 3 + 1\/2*f**2. Let o be z(-2). Solve -9 = i - o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (754 - 728 - 479)*(-3*t + 5*t - 3*t) - 2*t - 1 + 1 in the form d*t + v and give d.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-6)\/(-141)) + -3. Let b = j - 24. Solve -o - 4*o = b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + 5*q**2 - 2*q + 5. Let o(n) = -5*n**3 - 5*n**2 + n - 4. Let d(f) = 4*g(f) + 3*o(f). What is d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 28*q**2 - 467*q - 161. What is g(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-4) + (-800378)\/(-8). Suppose 0 = -18*g - 39370 + b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196 = 101*g - 97*g. Let b = -288 - g. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/858)\/(8\/(-26))*24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 4. Let a be 4\/(-4) - (3 + -1). Let i = -11 + 20. Calculate the remainder when l(a) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 27142.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/60*10\/28?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 2655*z - 56633. Calculate q(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -420, -680, -974, -1302, -1664?\nAnswer: -2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d + 1. Suppose -1 + 0 = -z. Let u be p(z). Let y be 3\/2*u\/(-6). Solve -2*l - 16 = -y*r, -5*r + 5*l = -29 + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18512935\/841 + -22013. Let m = -12631\/6728 + h. Is m smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.50436108 minus -0.4?\nAnswer: -108.10436108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/18)\/(1\/8). Let k = o + 21. What is the closest to -1\/4 in -5\/4, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/23, -12 in descending order.\nAnswer: 4, 2\/23, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.1 (b) 1 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let m(n) = 2 + 0 - 36*n**2 - 2. Calculate o(m(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10864331 to the power of 1\/2, to the nearest integer?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e7651 - -3ec?\nAnswer: -e7254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 102411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790937 is divided by 4325.\nAnswer: 3787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57651532 (base 8) in base 15?\nAnswer: 117a294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 697214123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69299.\nAnswer: 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.9 - -59.9. Which is the biggest value? (a) 2\/3 (b) 3\/10 (c) -2\/9 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + p + p - 2*p**3 + 0*p**3 - 5 to the form d*p + l + v*p**2 + r*p**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*o**3 + 11*a*o + 14646*o**4 + 9*o - 128 wrt o.\nAnswer: -18*a*o + 175752*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1694 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7651, 16108, 24567, 33028, 41491?\nAnswer: 49956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 38 = -23*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - -22?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41619.22 and -2.\nAnswer: -83238.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31360 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111140659 less than 137.757?\nAnswer: -111140521.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)\/((c*((c*(c\/(c\/(c*c**7*c)))\/c)\/c)\/c)\/c))\/(c\/((c**0\/c)\/c*c)*(c*c**9)\/c))**30 assuming c is positive.\nAnswer: c**(-3750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8269*x + 3030 - 550 = -4500 - 9558 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-5\/6))\/n)\/((n*n**(1\/6)*n)\/n))\/((n\/(n*n*n\/((n**4\/n)\/n*n))*n)\/((n*n*(n*n\/((n**(-9)*n)\/n))\/n)\/n*n)) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f)*((f + 2 - 2)*(f + 0*f - 4*f)*(3*f**2 + 0*f**2 - f**2) + 3*f - 3*f - f**4 - f**3 + f**3 - 2*f**4 + (-2*f**3 + 5 - 5)*(2*f - 2*f + 2*f)).\nAnswer: 26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76128745 and 400480.\nAnswer: 12515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1496087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -135. Let v = -465.1 - -465. Which is the closest to v? (a) 2\/5 (b) x (c) 1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/585)\/((-74)\/555)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**2*s*y - 5536*n**2 + 847*n*s*y - n - s wrt y?\nAnswer: -5*n**2*s + 847*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(-1*sqrt(448) + -2 - sqrt(448) - (-2 + sqrt(448) + -3)))**2.\nAnswer: -4320*sqrt(7) + 145377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by 96\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.4. Let b = 55\/4 + -14. What is the nearest to 1 in 1, b, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2\/4)\/((57\/(-6))\/(-19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 63*n + 45. Let q be t(-31). What is the second derivative of 2*l**3 - q + 22*l**3 + 13*l - 9*l**4 + 11*l**4 - 11*l wrt l?\nAnswer: 24*l**2 + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x = -13 + 235 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 - 5531*c - 5524*c + 11057*c + 343.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 504\/35*(-10)\/337. Let w = j - -12063\/54257. Let y = w + 8\/23. Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -63.667 and -69787419.\nAnswer: -69787482.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239195587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20)\/b**22)**7)**(-2\/59) assuming b is positive.\nAnswer: b**(588\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaffyyyatg. What is prob of picking 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43005652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:12 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1140, 2275, 3422, 4587, 5776?\n\"Answer: i**3 + 1128*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9670, 39007, 87884, 156307, 244282?\nAnswer: 351815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 35*g**2 - 1. What is the units digit of s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -377 - -374. What is the second smallest value in a, 1\/2, -29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51733, 103463, 155193?\n\"Answer: 51730*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.2 and -3?\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 5 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -87*g + 624. Let i be f(7). What is the highest common divisor of i and 570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3765?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647 + 197 + 25*t - 844.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1801 and 8777.5.\nAnswer: 6976.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-31)*w*(w\/(w*w**(1\/22)*w))\/w assuming w is positive.\nAnswer: w**(-683\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 20*f - 12.\nAnswer: -(f + 6)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/295798 and 13\/426?\nAnswer: 63004974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 46 = -3*h - 37, 2*f + 24 = 5*h. Solve 8*y + 4 = h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 11*v - 4. Let n be d(-4). Is 13 a factor of 216 + (2\/4 - (-36)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12819, -25610, -38423, -51264, -64139, -77054, -90015?\nAnswer: -103028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 - k**3\/6 - k**2\/2 + k. Suppose 4 = 6*i - 10*i. Let f(j) = -2*j**3 + 6*j + 4. What is i*f(a) - 4*b(a)?\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8877 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from hkioiyyobbiyyiy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 + 8268*y - 5696652 = 0 for y.\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -153 + -323066?\nAnswer: -323219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 383407*c**3 - 377*c**2 + 182*c?\nAnswer: 2300442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cllggckllf. What is prob of sequence ckf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0559009 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (1 + 1 + -4). Calculate the greatest common divisor of c and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52510237 (base 8) to base 15.\nAnswer: eac098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-2\/9))*y**(4\/9))**(-3\/5)*(y**(-7\/3)*y**(2\/5)*y)**(-50) assuming y is positive.\nAnswer: y**(698\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - -0.04. Which is the second biggest value? (a) 2 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(104)*-1)\/(3*sqrt(24)\/sqrt(3)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -77, -75, -73?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 1058.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 17. Let r be (20\/45)\/((-4)\/i). Which is the nearest to 3? (a) 0 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 94011*z**2 + 3*z + 1. Let d be p(5). Let c = d - 650291. What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*x + 26*x + 34*x - 2*x**2 + 359 + 35*x to g*x**2 + u*x + z and give z.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 115 = -77. Suppose -66*g - k = -70*g. Solve -g*w - 5 = -8*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 277*f**2 + 19*f + 36. List the prime factors of y(3).\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44165 - 0?\nAnswer: 44165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102 (base 3) to base 6.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3352975 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -0.02, -319.2, -0.2, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 15*n**2 - 38*n + 17. Calculate w(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3\/6 + 2*k. Let v(j) = -6*j**2. Let f(a) = -2*a**2. Let r(m) = -17*f(m) + 6*v(m). Calculate g(r(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21429800 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 9*h**2 - 10*h - 2. Let k(l) = l + 1. Let u be k(-9). Let a be r(u). Let w be (12\/a)\/(1\/63). Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 + 3*g + 9. Let v(i) = -7*i**2 - 3*i - 11. Let o(m) = 2*v(m) + 3*x(m). Calculate o(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnncjcjncjccjj. What is prob of picking 2 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -5*u - 15, 3*f = -3*u + 12. Let q = -3.87 - -3.67. Sort u, 0.3, q in descending order.\nAnswer: u, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 8. Let i be t(7). Let l = 372\/5 + -75. Is l not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6558, 11831, 17104, 22377, 27650?\nAnswer: 32923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-6))\/(2\/(-4)). Suppose 4*h - 168 = 3*f, -2*f + 3*h - 117 = 2*h. Let x = 64 + f. Put o, 5, x in decreasing order.\nAnswer: 5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*2)\/((sqrt(36) + (sqrt(36) - (-1*sqrt(36) + sqrt(36))))\/sqrt(4)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 21 - 1 = 0. What is the first derivative of -v*t + 2 - 1 + 8*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 8:41 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3f9 (base 16) to base 3\nAnswer: 1101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131580 by -26316.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1972 and -107\/6.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*w + 259. What is the units digit of 6\/24 - w\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10009\/35 - -286. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(143)*-1 - sqrt(143)) - sqrt(143))\/(sqrt(539)*-2) + 5 + 3.\nAnswer: -sqrt(13)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 24110754?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3815509?\nAnswer: 3815509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 711610\/3 + -237202. Suppose -16\/9 + t*i**2 - 20\/9*i**3 + 20\/9*i + 4\/9*i**4 = 0. What is i?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -95, -101, -109, -119?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Let v = 0.07 + 0.05. Let y = 365 + -365.1. Sort y, v, a in descending order.\nAnswer: a, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p + 5028 = 29*p - 10272. Solve -195 = 6*h - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = -7. Let w = c + 13. Let r be (3\/5)\/((12\/15)\/4). Put 0, w, r in ascending order.\nAnswer: 0, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:28 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 23*p + 13. Let i be j(10). Let l = i + 20. Let b(m) = m - 1. Let n be b(8). Calculate the greatest common divisor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**5\/20 - x**4\/3 + 5*x**3\/3 + 4*x**2 + 3*x. What is the smallest common multiple of i(-6) and 2\/(-3) - 8\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 4*j - 20, -4*j + 5*o = -16. Is (-18)\/(-72) + 251\/j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -444.743.\nAnswer: -445.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 366448574 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -1922, -2883, -3844, -4805, -5766?\nAnswer: -6727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -63\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-7)\/28). Let m be (-2 + 1)\/((-39)\/6). Put -3\/7, m, v in increasing order.\nAnswer: v, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 6. Let s be 32\/18 + w\/(-18). Let p(i) = 3 - 8 + i**2 + 0*i**2 + s*i. Give p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and ((-485)\/45)\/((-4)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnnnnnnnnnnnnnwnnnn. What is prob of sequence wn?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1823 = 2*o - 589. Is o\/(-2) + (-6)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j. Let q be w(-2). Let p be (-375)\/75 + (-20)\/(-1). Calculate the highest common divisor of q and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2*h - 2*h)*(-3*h + 0*h + 2*h) + (-2*h**2 + 5*h**2 - h**2)*(-118 + 74 - 194) to s*h + m*h**2 + u and give m.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 700.1 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 153 - 18?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345\/1937, -4, -146 in increasing order.\nAnswer: -146, -4, -345\/1937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -484 (base 11) to base 15\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(847) - sqrt(847)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 3:42 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/38, -2.\nAnswer: -2, -1\/4, 1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34\/9 - -40\/9. Let a = -4911 + 4910. Put g, 0.2, a, 3 in ascending order.\nAnswer: a, 0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72012 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19369398.\nAnswer: 2, 3, 19, 131, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -1\/720*n**6 + 1\/120*n**5 + 1\/6*n**3 + 2*n**2 + 0*n + 0 + 0*n**4. Let w(c) be the first derivative of m(c). Factor w(h).\nAnswer: -h*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/35, -4, 2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7827*h. Let s(y) = 19*y**2. Calculate s(i(k)).\nAnswer: 1163976651*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 - 6*s**2 + 59*s. Let v(a) = a**2. Let f(p) = b(p) + 6*v(p). Find the second derivative of f(d) wrt d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120800 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.864 and -5.\nAnswer: -9.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131.44240031 - 131.4234. Let b = c - 0.019. Round b to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 11*m**2 - 38*m - 7. What is z(-14)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 - -1.71. Let i = -0.01 + o. Sort 0.5, i, -5\/6 in descending order.\nAnswer: 0.5, i, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(144\/84)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001201 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 62ba9?\nAnswer: 62ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 + 2*v - 4. Let y = 15 - 13. Suppose 2*m = -5*a - m - 23, -3*a + y*m - 10 = 0. What is f(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7745932, 7745937, 7745946, 7745959, 7745976, 7745997?\nAnswer: 7746022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 - 1344 - (2 - -1 - (-5 + -5))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -287.326 or -0.036?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5494 = -17998. Let s = y - -37601\/6. Find the common denominator of -7\/11 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.07*1187580\nAnswer: 2458290.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 567 - 1319. Let q = 769 + f. What is the remainder when 811 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 25 = -2*f, w + 0*w + 11 = f. Let a = -5 + f. What is the derivative of -2 + a + 0*h**3 - 2*h**3 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose 3*u + d = -2*p, -u - 8 + 6 = 2*p. Let h = 9 - 4. Which is the nearest to u? (a) -0.1 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 - 9*r**2 - 2*r - 8. Suppose 0 = -4*b + b + 12. Is l(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/14613?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**2 - 19*t**2 + 11*t**2 + 2*t**2 - 7*t**2 - 4*t**2 + (-2 + 2 - 2*t)*(t + 2*t + 0*t) to b*t**2 + k + g*t and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1740)\/(-36)*(28 + (5 - 3)) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d - 7*d)*(8*d**2 + 8*d**2 - 6*d + 8*d).\nAnswer: -16*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*f**2 + 2*a**2*f*g - a**2*g*q - 13*a**2*q - 83*a*f**2*q - 3*f**2*g*q - 4*g*q wrt f.\nAnswer: -2*a**2 - 166*a*q - 6*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/36 + (-65)\/(-9). Let u(q) = -d*q + q**2 - 7*q**2 + 4*q**2 + 7 + q**2. What is u(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i**2 + 0*i - 1\/9*i**3 + 1\/5*i**5 + 1 - 1\/6*i**4. Factor z(g).\nAnswer: g**2*(g - 1)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 - 469 + 772 - 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1)\/(13\/(-26)*5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -q + 18, -4*q + 19 = 5*u - 98. Let w = 63 - q. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946 divided by -118.\nAnswer: -473\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**27)\/(x\/(x**(-3)\/x)) assuming x is positive.\nAnswer: x**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419 - -719. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 56*i - 355. Let q be y(18). Solve 0 = -4*r - q*c + 10, r - 15 = -c - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8896\/3 + 418106\/141. Are -4\/17 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6399 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -367 + 372 - 16*a + 14*a. Let r(x) = -x. Calculate r(f(b)).\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63750 (base 11) to base 3.\nAnswer: -11201012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d - 1 - 2 + 10*d**2 - 4*d**2 - 9*d**2.\nAnswer: -3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - 7 - -10 - 0)*2760\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:18 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1300) + sqrt(1300) + -3 + sqrt(1300) + -2 + sqrt(1300) + sqrt(1300) + sqrt(1300) + sqrt(1300) + 2)**2.\nAnswer: -254836 + 1680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u**2 + 5*u - 7. Let g(m) = 38*m**2 + 4*m - 6. Determine 6*g(n) - 5*h(n).\nAnswer: 43*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 10*o**2 - 9*o + 60. Let r be g(-7). What is the highest common factor of 54 and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h. Let s(n) be the third derivative of -3*n**5\/20 - 57*n**2. Determine s(u(w)).\nAnswer: -900*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/390 and -23\/120?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37155 divided by -12385?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151983 is divided by 644.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - 2*y**2 + 5*y**2)*(y + 2*y + 12*y).\nAnswer: 135*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + 4. Let h be (6\/18*0)\/l. Solve 3*d + 2*d - 20 = h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/4 + 12\/(-24). Suppose -3*v - k*n = -57 - 81, -5*v = n - 213. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 - y - 1. Suppose 0 = 4*d + 2 + 2. Let i be a(d). Let n(s) = -s**2 + s + 1. Let z(c) = -2*c**2 - 2*c + 3. Let p(r) = 3*n(r) - z(r). Give p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(5 + sqrt(10)\/sqrt(72) + -1) + -3.\nAnswer: sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1738774 and 0.0871362.\nAnswer: 1738774.0871362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -17 - 3. Let z = i - -14. Suppose 2*s = -d + 7, 3*d + s - z*s = 12. Solve 4*k - d*v + 21 = 0, -k + 11 = -0*v + 2*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 513414.6?\nAnswer: 2567073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -147*r**5\/20 - 17*r**4 - 355*r. Find the third derivative of d(o) wrt o.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4666698385 + 4666698326.00000334. Let g = h - -59. Round g to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 398107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/9 - -1 - -1)*-12. Suppose 136*p = 138*p - g. Solve -8 = 4*s + p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-1 - 0))*1. Suppose p = m, 0*w + m - 16 = -w. Let k = -3 + w. Solve 2*z = -q, -3*q + 2*z - k = -2*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 363*f*i**3 - 51*f*i**2*n**2 - 2*f*i**2*n + 6*f*n + 13*i**3*n**2 + 2*i**3*n - i**2*n wrt n?\nAnswer: -102*f*i**2 + 26*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12000220 - 12323?\nAnswer: 11321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(176) + 2)**2 - (3 + sqrt(176) + 0)**2)*-4.\nAnswer: 20 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nexunzh. Give prob of sequence uhn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252104820.999907 + 252104614. Let x = -207.281 + 0.281. Let o = x - y. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 + 22*t**2 + 9*t + 5. Let s be f(-4). Suppose 1 = -2*l + 3*l. Suppose 5*u = 9 + l. Solve 9 = -u*k + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o - 5. Suppose 0*n = o*n - 33. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 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: Is 2555394717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 104 = -4*r. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (4 - (3 + (5 - 13 - -6)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: d0df4 (base 16) to base 8\nAnswer: 3206764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*y + 6914982 = 432*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15237*k - 1100 = 15232*k. What is the highest common divisor of 352 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - p - 2*p)*(3 - 3 + 8*p) + 1 - 6*p**2 + 4*p**2 + 0*p**2.\nAnswer: 22*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00236666587 to six decimal places.\nAnswer: 0.002367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 2. Suppose -4*g = -5*g + 20. Suppose 2*w = -2*w + g. Calculate a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 16*j**3 - 2 + 118*j**2 - 342*j**2 + 89*j**2 + 135*j**2.\nAnswer: 21*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -1 + 13)\/(3\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 80473998.5?\nAnswer: 80473998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -891 - -892. Let h = 0.3 - 0.1. Which is the smallest value? (a) -0.1 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.978 - 159.622. Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2452053 is divided by 120.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/162 and 76\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139750 by -5.\nAnswer: -27950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12063951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*j + 62 = 0, -27 = -3*a - 5*j + 66. Suppose 5 + a = -3*f. Let t = 22 + f. Solve 5*i + 5*d = 6 + 4, -5*d = -t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.462 or -1.08?\nAnswer: 0.462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -716 equal to -717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 13. Let z(s) = 1. Let g(r) = -d(r) - 3*z(r). Let n(c) = 3*c**2 - 1. Let a be n(-1). Let b be 1*a - 12\/(-3). What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, 30 in decreasing order.\nAnswer: 30, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14299261 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121237 and 4.\nAnswer: -484948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7. Let t(g) = -g**3 - 8*g**2 - 8*g - 2. Let r be t(-7). Suppose -2*f - 18 = -5*c, r = c - f - y. Solve c*h = 3*m - 2 - 13, 0 = -5*h - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 12*l + 36. Let c be h(-8). Suppose 7*g + 2*u - 6 = 3*g, c*u = -20. Suppose -2*x = 1 + 1. Put x, g, 2 in ascending order.\nAnswer: x, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 3, f: 5, h: 2}. What is prob of sequence fefe?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 199737, 199749, 199761, 199773, 199785, 199797?\n\"Answer: 12*l + 199725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -23. Sort f, 0, -5, -14 in decreasing order.\nAnswer: f, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -623*q**4 - 53*q**3 - q**2 - 54001 with respect to q.\nAnswer: -2492*q**3 - 159*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 + -0.6. Sort 3, o, 5 in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*q**5 + q**4 + 4*q**3 + 2655*q**2 wrt q?\nAnswer: 6120*q**2 + 24*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 1.134, 3\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -0.25. Let z be (-2 - 14\/(-8))\/1. Which is the second smallest value? (a) z (b) 3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 93 + 116 = -5*t, -t - 3*a + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {e: 1, c: 1, d: 3, z: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 253 = -45. Which is greater: -50 or w?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-3))\/(i**1*i)*i*i*i*i**3*i*(i*i*i**(1\/6))\/i assuming i is positive.\nAnswer: i**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.59 - 0.19. Let l = k - 20. Let q = 2 - 2.1. Put l, q, -0.5 in ascending order.\nAnswer: -0.5, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2340 = 8*k - 3*k - y, 2*k = -3*y + 936. Let b(l) = l**3 + 4*l**2 + 2*l - 2. Let d be b(-2). Suppose d*f - k = -94. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + c - 1. Let s be x(-3). Let m(w) be the second derivative of -w**3\/3 - 5*w**2\/2 - 2*w - 6047. What is m(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25208, -25209, -25212, -25217, -25224?\nAnswer: -25233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2 = -4*w - 3*q, 2*q = -4. Is (w\/2)\/(9\/(-2946))*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41912988*c**4 - c**3 + 49755510*c**2 wrt c?\nAnswer: 1005911712*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 22, 57, 112, 193, 306?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -474128330 to the nearest 1000000.\nAnswer: -474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.26 + 1.16. Which is the closest to 0.06? (a) r (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - x + 4*x)*(32 - 4*x - 32) to the form u*x**2 + s*x + w and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**3)\/(r**(2\/5))**8 assuming r is positive.\nAnswer: r**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 - 1167\/7. Let b = 62.4 + -228.4. Let y = b - -164. Sort y, x, 3, 0.2.\nAnswer: y, 0.2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -15. Let f = -11 + 15. What is the third derivative of -14*r + 14*r + s*r**2 - f*r**5 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 2*l - 2*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/2976 and 15\/19436?\nAnswer: 14460384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 114. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -936 + 936 + 113*f**2 in the form h + w*f + p*f**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*w - 112, -g + 4*g + 172 = 5*w. Suppose 0 = 2*r - 6*r + w. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 11:38 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6321295 - 77*o**3 + 2*o - 2*o + 6321295.\nAnswer: -77*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -11*r, -5*j + 49*r = 50*r + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -385.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4144.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253059 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 170896 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 506249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269 + 686. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x, 3*x = 5*j - 6 - 15. Let l be -3 + j*(5 + -4). Suppose l = -8*n + 62 + 18. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*q - 52*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.329993685 + -1.33. Round s to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/111)\/((-10)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47019427?\nAnswer: 7, 13, 53, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-33)\/(-132) - 10\/(-24))*3. Suppose 4*b - 4 = 2*c, -b + 2*c + 10 = -3*c. Suppose 2*s + z + b*z = -5, 3*s - h*z - 10 = 0. Solve s = q - 3 + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1169 + -1173. Let q(a) = -3*a + 14. Let w(x) = -16*x + 70. Let f(r) = 11*q(r) - 2*w(r). What is the smallest common multiple of f(l) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*c - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b + 75. What is the remainder when 234 is divided by q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**2 - 95*r + 49050 = 0.\nAnswer: -109, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 261*g + 1\/8*g**3 + 83\/8*g**2 + 1782.\nAnswer: (g + 11)*(g + 36)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(81*c + 118*c + 80*c) + (4 - 6 + 0)*(-c + 4*c - 4*c) + 2*c - c - 2*c to x*c + q and give x.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = s - 14, -4*p + 7*p = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r + 7. Let v be l(-2). Suppose -7 = 2*q + v. Let j(a) = -a**3 - 5*a**2 - 4*a + 4. Determine j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*k + 5*k - 408, 552 = 4*k + 2*w. Suppose 3*m = m + k. Let u = m - 31. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 12357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 16*c - 70. Suppose -g - 2*b + c = 0, b - 4*b = 4*g - 41. What is the third derivative of 2*m + 0*m**2 + 2*m**4 - g*m**2 - 2*m wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-9) + 76\/36. Solve -o*j - 7 = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 238786, 477560, 716326, 955084, 1193834, 1432576?\n\"Answer: -4*v**2 + 238786*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = w, 6*w = -5*m + 5*w + 27. Sort 1, 30, m in descending order.\nAnswer: 30, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9467*o + 9480*o - 260 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 32*w**4 - 30*w**4 - 7*w**2 + 35*w**2 to t*w**4 + u*w + q + p*w**3 + a*w**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 16. Let z = 7 + -11. Let m be 52\/(-2)*2\/z. Calculate the highest common divisor of n and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 184 and 0.0470016286.\nAnswer: 184.0470016286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (6 + -1)) + (35 - 23) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4 + 1550*i**3 + 13893*i**2 + 37000*i + 24656 = 0.\nAnswer: -1541, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwjqqww. Give prob of picking 1 j and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.039 + 0.039. Let d = u + 18.5. What is the fourth biggest value in -5, 0.4, d, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-40))\/11*(-480)\/90*95\/40\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17547.\nAnswer: 3, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 2966*x + 207816\/5.\nAnswer: -(x - 14)*(x + 14844)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + (-14)\/8. Let a be 4 - r\/(-4 + 3). Solve 5*v + a*z = 14 - 34, 0 = v + 5*z + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3566 = -3576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five quarters of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**3 + 18*r**3 - 47*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 - 8*c**2 + 19*c - 6 = 0. Calculate c.\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9081 = -13*u + 6324. Suppose 886 = 3*k + w, -4*k + w + u = 6*w. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c**2 + 14*c**6 - 5*c**6 - 53*c**6 wrt c.\nAnswer: -5280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**3 + 5*s**2 + 9*s + 4. Determine f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -909.489 rounded to the nearest ten?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (554\/(-16620))\/((-1)\/(-25)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3512 or 3508?\nAnswer: 3508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -3180\nAnswer: 17\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 10*b**2 + 10*b + 2. Let k = -15 + 39. Suppose -5*d + 31 = -k. Let l be n(d). Round l to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*j + 1. Suppose -4*w + 2 + 2 = 0. Put j, -3, w in decreasing order.\nAnswer: j, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1302\/112*(-10)\/(-9) + -3 and 19\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/5 - (-2)\/5. Let v = 183 - 186. Let y be (1\/v)\/(g\/(-12)). What is the third biggest value in y, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from {k: 2, z: 1, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p + 141*p + 7055 = -133*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 166, 749, 1720, 3079, 4826, 6961, 9484?\n\"Answer: 194*q**2 + q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10562395, 21124864, 31687333, 42249802, 52812271, 63374740?\n\"Answer: 10562469*l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*w = 11, 5*h - 9 - 7 = -2*w. Suppose -6*n = -h*n. Let a(r) = r**2 + r + 6. What is the units digit of a(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2553*o - 2546*o - 2552*o - 2551*o - 2551*o + 15303*o - 2556*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13)*u\/u**(-1\/8))\/(u*u**(2\/7)*u)**(-34)*((u\/u**(-3))\/(u**(-5\/7)\/u*u))**(-48) assuming u is positive.\nAnswer: u**(-107229\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8129500 rounded to the nearest 10000?\nAnswer: -8130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(396) + 0 - (-5 + sqrt(44)) - sqrt(55)\/sqrt(5)*5*-2)**2.\nAnswer: 140*sqrt(11) + 2177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -382, -357, -318, -259?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose h*v = 3*s + v - 2245346, -2*v = -5*s + 3742236. Suppose -3188448 = -4*u - s. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*w**3 - 44*w + 0 - 70\/3*w**2.\nAnswer: -2*w*(w + 2)*(w + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11416 by -12.\nAnswer: -2854\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 3755 = -6*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 130.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 3*t + t + (1 - 5 + 3)*(-2*t + t + 4*t) - 1 - t + 1 + 2*t - 3*t - t as w + h*t and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - (5 + -11) - (-5 - 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncn when three letters picked without replacement from cnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 69, -4 in descending order.\nAnswer: 69, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:45 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 1, q: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47079800 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/8, -35\/12477, 0.2, 1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + 54. Factor -18*y**2 - 89*y + 279*y - w*y - 91*y + 0*y**3 - y**3 + 18.\nAnswer: -(y - 1)*(y + 1)*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**2 - 5*v + 2. Let o be z(4). Let p be (o\/(-6))\/(1\/(-9)). Is 1*-2*p\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -227216, -227263, -227310?\n\"Answer: -47*s - 227169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 389504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -47*w**3 - 5*w**2 + w + 1. Let y(l) = l**2. Let m(f) = -a(f) - 5*y(f). Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9683.99995697 + -9684. What is q rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*q + 183 = 0, -4*q = -5*h - 3*q + 1045. Let b be 3 - -3*h\/(-12). Let y be (-3)\/7 - 266\/b. Solve -4*j + y*i - 26 = 0, -5*j - 17 = i + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11368833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**3 + 0*r + 4*r + 12*r**3.\nAnswer: -3*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - k = 3*v + 28, -36*k - 76 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 829607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-2))\/(7 - 1 - 341616\/56937).\nAnswer: 2, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -445*d**3 + 192*d**2 - 4*d + 4. Let w(n) = 443*n**3 - 191*n**2 + 5*n - 5. Let h(i) = -5*s(i) - 4*w(i). Find the third derivative of h(t) wrt t.\nAnswer: 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357963, 1431859, 3221687, 5727447, 8949139, 12886763?\nAnswer: 17540319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from wsikwhwwkjsjsihhjj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 69. Let y(v) = 4*v - 15. Let x be y(7). Is (-2)\/x - (-2151)\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7*l - 27 + 9)*(0*l - 2*l + 0*l)*(2*l**2 - 2*l**3 - 2*l**2).\nAnswer: 28*l**5 - 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (8 + -14 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 9 - 7*g + 6*g - 606*g**2 + 5*g**3 + 605*g**2 as s + x*g**4 + a*g**3 + d*g**2 + v*g and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/9 - 248*p**3\/3 + 6208*p**2\/3 - 151040*p\/9 + 45056 = 0. Calculate p.\nAnswer: -396, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13567.\nAnswer: 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y**2. Let a(v) = 9*v**2 + 12*v + 134. What is a(r(u))?\nAnswer: 1089*u**4 - 132*u**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.032812cm?\nAnswer: 328120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/117*-3 + 35\/(-26)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/(h**(6\/11)\/h*h*h))\/((h*h**2*h)\/(h\/((h**1\/h)\/h*h))))\/(h**(2\/9)*h**(-4)*(h**(-1\/10)*h)\/h*h\/((h*h**(1\/4)*h)\/h)) assuming h is positive.\nAnswer: h**(1153\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 44170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 72 = -28*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -688915 or -4133495\/6?\nAnswer: -688915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12712230 rounded to the nearest 100000?\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 4*m - 9. Let b be r(-4). Let h = b - 23. Let f(u) = 2*u**3 - 3*u**2 - 3. Let n be f(3). Solve 4*i + 4 - n = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3306\/2565*(-2475)\/(-110)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 7*m + 1, 11753*m - 24 = -10*d + 11749*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 6*s - 2*s - 2 + (-4*s + 2*s + 3*s)*(0 - 3 - 2).\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/7 + 90*i**3\/7 + 831*i**2\/7 + 2340*i\/7 + 2028\/7.\nAnswer: 3*(i + 2)**2*(i + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -13*z - 98, -36*a + 38*a + 295 = 4*z + 323 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5*g + 8, 8*t + 2*g - 16 = 4*t. Let q be (-2)\/8*(-1)\/(-1). Let f = -3.1634 + 0.1634. Which is the closest to -1? (a) q (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s - 296 + 152 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmkzvgk. Give prob of picking 1 v and 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrcrrdrc. What is prob of sequence cr?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5190*n**6 + 2*n**4 + 7870*n**2 wrt n?\nAnswer: 622800*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t + 11 = 0. Let r = t + 16. Suppose 0 = 4*x - 3*n - 177, 0*n + 134 = 3*x - n. What is the greatest common divisor of r and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -156, -302, -520, -834, -1268, -1846?\nAnswer: -2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*-1*sqrt(300) + -1 - (0 + sqrt(27)\/((sqrt(54)*1)\/sqrt(6)))*4.\nAnswer: -64*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 2, i: 1, p: 3, c: 4, j: 4}. Give prob of picking 2 p and 1 c.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - o = -9, 4*d + 10 - 41 = 5*o. Solve u - d + 0 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132348, -132197, -132046?\nAnswer: -131895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**2\/2 - 12*j - 17. Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*p**3 + 28010*p**2 + 5608000*p + 1600000.\nAnswer: 5*(p + 400)**2*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4) + 1 + -2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**2 + 33232*s + 69022864 = 0.\nAnswer: -4154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + m**3 - 2 + 0*m**3 + m**2 + m**3 + 3*m - 2*m**2 + (m**2 - m**2 + 6*m**2)*(3*m + 4*m - 5*m).\nAnswer: 14*m**3 - m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.683? (a) -427 (b) 4\/23 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(2 + (1*sqrt(567) - sqrt(567)) + (-1*sqrt(567) - sqrt(567))*4 + 2))**2.\nAnswer: -1296*sqrt(7) + 36369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -10067\/2 (c) 11871\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 4*b - g, 4*b - 5*g - 28 = 0. Let x(i) = 4*i**2 - i**b + 0*i + 2*i. Suppose 15 = 3*o, -7 = 3*s + o - 6. Give x(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46856 + -44986. Calculate the remainder when v is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57.1 at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.6718 + 22.7. Let o = 0.0585 - s. Round o to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7806167 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - b**2 + 24*b + 2. Let u be z(0). Let o = -3 - -3. Solve u*g - t = -6, 3*g + t + o*t = -19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnks. What is prob of sequence nnk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/27)\/(4\/6). Do 1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - -60 - (17 - (-8 - -15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 35 in decreasing order.\nAnswer: 35, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**3))**(19\/6) assuming n is positive.\nAnswer: n**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 763 = -4*f - t, 4*t + 362 = 2*f. What are the prime factors of f?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(5 - (7 + -12) - 9). Sort -303, -9, -4, t in descending order.\nAnswer: t, -4, -9, -303","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.231 + 5244742\nAnswer: 5244747.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2635*o**2 + 2621*o**2 + 2621*o**2 - 13111*o**2 + 2620*o**2 + 2622*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*p + 196. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 3937.5004\nAnswer: -94500.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3368*u. Let v(n) = 15*n**2 - 32*n. Calculate m(v(z)).\nAnswer: -50520*z**2 + 107776*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 97407 and 0.129615.\nAnswer: 97407.129615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 15. Let g(l) = 6*l - 7. Let k(y) = -y + 1. Let j(r) = 6*g(r) + 39*k(r). What is j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 6*f + 3*f to d*f + c and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 914429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d - 18. Let k(m) = 5*m**3 - 4*m**2 + 2*m + 1. Let w be k(-1). What is the units digit of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -292)\/(-1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 + 182*k - 817. Determine y(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -118, -99, -74, -43, -6?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (76\/6)\/(-6 - 175\/(-30)). Let g be (u\/14)\/2 + 6\/(-21). Let h be (-25)\/5 - (1 + -1). Sort h, -4, g in ascending order.\nAnswer: h, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*2)*2*-2*6)\/((sqrt(160) + -3*sqrt(160))\/sqrt(2)*-5).\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(912)*1 + sqrt(912))\/(-4*(sqrt(192)*-2 + sqrt(3) + sqrt(3) + sqrt(3))) + -1)**2.\nAnswer: -6*sqrt(19)\/13 + 340\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2340 and 3446235.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6929862 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (309\/309)\/((-2)\/(-3) + 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 3. Let z be o(-2). Let t be -1*z\/(-1 - 0). Let j(r) = 3*r**2 - 8*r - 3. Let f(g) = -g**2 + g. Let v(s) = t*j(s) + 4*f(s). Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*n - g, -535*n + 4*g = -537*n - 8. What is the closest to n in -1, 0.29, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/2 (b) -5160 (c) -5 (d) 3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 18 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/250 and -119\/30.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230 + -242452?\nAnswer: -242222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*k - 15420 = 105*k - 51*k + 55*k for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7520\/400 - 9\/5. Solve m*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8718 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - 2. Let u(s) be the first derivative of 15*s**2\/2 + 8*s + 4481. Let w be (-26)\/(-4) - 1\/2. Give w*u(g) + 22*z(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3 + 1. Let g = 1 + r. Differentiate 5*a**2 + 0*a**2 + 2*a**2 + 2 - 5*a**g with respect to a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -132. Let s be 2 + 219\/h + 6\/24. Calculate the highest common divisor of 38 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 596 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {f: 1, m: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/16986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a gram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t - 17*b + 14*b, -3*t = -b - 88. Solve -t = 11*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/5 - 2*i**3 + 8*i**2 + 98*i + 441\/5 = 0.\nAnswer: -9, -7, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 1*sqrt(1088) - (3*sqrt(1088) + -3)) + 1)**2 + 5.\nAnswer: -160*sqrt(17) + 108806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*m = 12, 3*q - 3*m = m + 9. Let u be q\/(-18) - 2\/(-12). Suppose c = -b + 64, 5*b + u*c = -c + 300. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = -1122 + 262. Let y be (14\/6)\/(1\/3). Solve -x = y*b - 12*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 96 = 5*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -760906.89 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 20. Suppose -9*j = -m*j - 105. What is the units digit of (7\/j)\/((-2)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 2*i**2 - 2*i + 7. Let j(a) = -11*a**3 + 5*a**2 + 5*a - 14. What is -5*h(y) - 2*j(y)?\nAnswer: -3*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r**2 + 130*r**2 - 55*r**2 - 59*r**2 - 18*r**2.\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3614 and 216047.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (24\/(-4))\/(3\/(-9)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107865624761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b - -25959?\nAnswer: 25998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 18*c**2 + 31*c - 23. What is m(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 2*k**3\/3 - 3*k**2\/2 - 4*k. Is t(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*h = 11, 5 = -2*s - 3*h + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 9*m + 1. Let w(s) = -s**2 + s + 1. Let g(o) = r(o) + 4*w(o). Let i = -35 + 33. Let f(v) = -v**2 + 4*v - 4. Determine i*g(y) - 3*f(y).\nAnswer: y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) -0.4 (d) 87.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:11 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 5. Let s be (-8)\/52 + (-288)\/156. Determine i(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -12 (b) 4 (c) -11 (d) -2 (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63561, -127071, -190615, -254199, -317829, -381511, -445251?\nAnswer: -509055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 65 + 35 = 0. Let b = -96 + y. Calculate the remainder when 15 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 115*u. Let m(a) = 46*a. What is m(w(q))?\nAnswer: 5290*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -6227, -5, 106?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*5\/1 - -2. Let m be l\/(-12) + 2\/8. Let a = -33 - -39. Solve a*t + 12 = m*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x + 29. Suppose 0 = -3*c + 4*r - 44, -c - r - 441 = -445. Determine w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/419, -0.5, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m**3 + 11*m**2 - 8*m - 1319. Let j(v) = 7*v**3 - 7*v**2 + 5*v + 879. Let w(f) = 8*j(f) + 5*o(f). Does 54 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 165, 120, 75, 30, -15?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -467, -551, -687, -869, -1091?\n\"Answer: r**3 - 32*r**2 + 5*r - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39489*q - 19743*q - q**2 - 19746*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/735540 and -79\/1471080?\nAnswer: 1471080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15 = 4*w. Which is the closest to 0.1? (a) w (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.7 + -113.7. Put 0.1, -1\/2, y, -2 in increasing order.\nAnswer: y, -2, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -910138810 and 1.16?\nAnswer: 910138811.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h**5 - 4233*h**4 - 31899*h**3 + 39069*h**2 + 1866*h - 4848 = 0. Calculate h.\nAnswer: -8, -1\/3, 2\/5, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 778 + -752. Suppose 3*a = -2*a + 315. Suppose 29*z = o*z + a. What is the remainder when z is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 3}. What is prob of sequence mm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.106229 millilitres in litres?\nAnswer: 0.006106229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 440 = 5*s + 350. Let n(k) = 9*k**2 - 3*k + 5. Let i(q) = 4*q**2 - q + 3. Calculate s*i(f) + 3*n(f).\nAnswer: 7*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5671452, -5671446, -5671438, -5671428?\nAnswer: -5671416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1239 - 1297. Suppose -3*l + 204 = -6*l. Let x = n - l. Calculate the least common multiple of 7 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -33*b**6\/40 + 3*b**5\/20 - 3*b**4\/8 + 30*b**2 + 15*b. Let a(s) = 49*s**3 - 4*s**2 + 4*s. What is 9*a(h) + 4*n(h)?\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose -3*f - 2*w = -3*w - 11, -2*f + t*w = -16. Solve 10 = -k + 5*r, -5*r + 4 = 4*k - f*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 13*c**2 - 9*c - 2. Is z(-11) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**4 - 5 + 3 - 5*t - 5818*t**3 + 18*t**2 - 5824*t**3 + 11639*t**3 in the form v*t**4 + s*t + l + y*t**2 + c*t**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 23718*w - 118627. Determine h(5).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a factor of 58487624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 73*p + 13 = 72*p, 0 = 7*l + 2*p + 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.001 in 1, -34490, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 1\/5 (b) 0.5 (c) 2\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -883*i**2 + 39736*i - 43. Give u(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 23*b**2 - 28*b + 98. Let o be l(24). Which is smaller: 169 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4402388 + 29106321.4402388. Let g = -29106315.1999969 + t. Let z = 2.8 - g. Round z to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1842*b - 746*b - 5288*b in the form l*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4656 divided by 1552\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50033 + -0.442984958.\nAnswer: 50032.557015042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 981*h - 982*h - 12, -5*h - 10 = -5*n. Sort n, -29, -4 in descending order.\nAnswer: n, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6 = -3*s, -3*r = -s + 2523 - 2517 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*q + 2, f + 2*q + 0*q = 2. Suppose a - 15 - 27 = -i, -5*i - f*a = -222. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 293 = t, r - 5*t + 11 = 104. Solve -r = -19*f + 16 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1946, -2323, -2676, -2993, -3262, -3471, -3608, -3661?\n\"Answer: 2*i**3 - 391*i - 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 18*s**2 - 16*s + 4. Let x be (1\/(3\/17))\/(9 - (-390)\/(-45)). Calculate m(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52365409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -30*i - 1. Is k(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654 is divided by 484.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 8, 3, -6, -19?\n\"Answer: -2*b**2 + 5*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let h = -41 - -40. Let w(p) = -3*p + 6. Calculate h*w(l) + 6*t(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-2\/69)))\/l**(2\/79)*l**16*l**(-2\/17)\/l assuming l is positive.\nAnswer: l**(1466738\/92667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2348, -3363, -4378?\n\"Answer: -1015*h - 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:56 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -794?\nAnswer: -5\/794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641 + 641 - 17*j**2 + 85*j**3 - 72*j**3.\nAnswer: 13*j**3 - 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 72*m + 141. Let q be j(34). Let y(d) = 1 - 5*d + 1 - 12 + 4*d. Let u(a) = -5. Determine q*y(n) - 10*u(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*d - 35*d + 172*d)*(2 + 2 - 6) - d + 1 - 1 + 25*d + 15*d - 51*d.\nAnswer: -164*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4 + 27 - 10 + z - 12. Let i(o) = -3*o - 4. Calculate i(g) + 5*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 3*t + 18, 5*t - 8 = -81*b + 79*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 + 0 - 8*r**2 + 5*r**2 + 0*r**2 - 4*r**2 + (3*r + r - 5*r)*(3*r + 1 - 1).\nAnswer: -10*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*39\/(-1040)*5168\/(-51)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*y - 14, 18*k = 17*k + y + 1. Let x(u) = -5*u - 25. Let c be (18\/4)\/((-4)\/8). Let v(t) = t + 6. Give c*v(h) + k*x(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - (-4 + 16)) + -48 + 53?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1120 - -1070. Is t >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Suppose 3*q - 229 = -4*o, -6*q - 60 = -o - j*q. Let w(t) = t**2 + 58*t - o*t. Let l(g) = 8*g. Determine w(l(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/4 (b) 6 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1542\/11822 + (-6)\/(-92)*(-3899)\/(-63).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320420 is divided by 381?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-100)*60\/(-6)*-1*(-23)\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-7)\/((-28)\/60))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065892667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/15 + 167*b**4\/6 - 3629*b**3\/6 + 562*b**2 + b. Differentiate g(r) with respect to r.\nAnswer: -8*r + 668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpxdi. Give prob of picking 1 p and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1170302, 4681156, 10532580, 18724574, 29257138, 42130272?\n\"Answer: 1170285*x**2 - x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*k**2*s**3 + 12*k**2*s + k*s - 4*k - 103*s**3 wrt k?\nAnswer: -252*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 277*k + 14886. Determine v(-73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = -3*b + 3, 13 = b + 3*s. What is the nearest to 1 in 0.5, b, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2)*h**7\/h)\/(h**1*h*h**(2\/7)\/h))\/((h*h\/h**2)**(-22)\/(h\/(h*h\/(h**(1\/2)*h)))**15) assuming h is positive.\nAnswer: h**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*v - 16, 0 = 4*r + v - 28 - 4. Suppose 0 = r*s - 10*s - 63600000. What is s rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 65054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - q - 6 = 0, 69*n - 5*q + 24 = 66*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301 (base 4) to base 12.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 0*s**2 + s**2 - 50 to the form w + y*s**2 + a*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133741858 + -94004665. Let s = f - 22937193. Round s to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*m*p - 2*a*p**2 + 50*m*p**2 + 2*m*p - 51*p wrt p?\nAnswer: -4*a + 100*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/7 + 160*y**3\/7 - 4608*y**2\/7 + 8192*y - 262144\/7 = 0 for y.\nAnswer: 16, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 19*n**2 + 250*n - 53. Let w be l(-28). Suppose 2*a = 3*u - 17, -a - 4*a + 5 = 2*u. Put w, a, 4 in increasing order.\nAnswer: a, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4366292 + -4366504.0103. Let f = r - -212. Round f to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1649920 by 256.\nAnswer: -6445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/127 (b) 7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89\/213 + -6\/71. Let v = 4 - 4.1. Which is the biggest value? (a) v (b) s (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - x + x + (5*x + 3*x + 22*x)*(3*x**4 + 0*x**4 - 4*x**4).\nAnswer: -31*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 448.4 - 0.1\nAnswer: 448.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.4, 2\/17, 17, -3, 0.04485?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -7*o + 4*o, 14 = -s - 5*o for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100554401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115044320 divided by -5.\nAnswer: -23008864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14311 is divided by 60.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1 = 2*m, 5*m + 10 = 3*r + 35 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 + -4)\/(-6)*422\/(-4)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*16\/40*175\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let g be (-14)\/4*(-44)\/7. Calculate the highest common factor of g and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2148704378 rounded to 4 decimal places?\nAnswer: -0.2149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079654 to the power of 1\/2, to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*n - 2667*n - 1134*n + (0 + 1 + 1)*(-n + 3*n - n) - 6*n - n + 4*n.\nAnswer: -3890*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13bb7 (base 15) in base 12?\nAnswer: 30831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45540246.\nAnswer: 2, 3, 17, 446473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1836616705 to the nearest 1000000.\nAnswer: -1837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -32*d - 18*d - 1120 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226060848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + 4*sqrt(143))*5 + -4*-1*sqrt(143))\/(1*3*sqrt(539)*1).\nAnswer: 34*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/9)\/5*1140\/(-760)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296940705.\nAnswer: 3, 5, 19796047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 6*w + 1. Let i be f(7). Let j be (1 - i\/(-9)) + 5\/(-15). What is the second smallest value in -0.5, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 8726111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*j + 5, -9*j + 13*j = -4*f - 36. Put 2, 1, 5, f in increasing order.\nAnswer: f, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 260*c**2 - 761*c + 3. What is w(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(96) + -1*sqrt(96)))\/(sqrt(60)\/(2*sqrt(5))))\/(sqrt(4) + sqrt(32)\/sqrt(2) - -2*(sqrt(4) + sqrt(144)))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(96))\/(sqrt(108)*-2))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 2*j**3\/3 - 9*j**2\/2 + 2*j. Let m be a(8). Let p = 7 + m. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n. Let i(q) be the first derivative of -7\/2*q**2 + 0*q - 102. Calculate -3*i(h) - 7*s(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 257*r**4 + 7*r**3 - 22687*r**2 wrt r?\nAnswer: 6168*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/11)*j**(-2\/33) assuming j is positive.\nAnswer: j**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.6 times 0.1?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 392428 and 0.6224.\nAnswer: 392428.6224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4799013 or 4799027?\nAnswer: 4799013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177612676 + -2.\nAnswer: -177612678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-6))\/4)\/((-8)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 + 6*q**3 + 379*q**2\/5 + 168*q.\nAnswer: -q*(q - 40)*(q + 3)*(q + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let g be (-6 + -2)*1\/(-2). Let i = g + -1. Put d, i, 2\/3 in ascending order.\nAnswer: d, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 237 + -3 - (-1)\/(-5 + 4). Suppose -26*i = -27*i + o. What are the prime factors of i?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*t + 115*t = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016658 to 6 dps.\nAnswer: -0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229 minus 4897?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99657 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 24295951.4 to the nearest one hundred thousand.\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + ((-228407)\/284)\/((-2)\/8)?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113489140 to the power of 1\/2, to the nearest integer?\nAnswer: 10653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.07. Let l = j + -3.93. Which is the third smallest value? (a) -1 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 360 - 355. Let i(p) = 8347101*p - 4. Let k be i(5). Suppose f*b + 95499980 = -5*l, 5*b = 4*l - 53764515 - k. Round b to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -3*s**2\/2 + 3*s - 3. Let q be z(-8). What is the highest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.417 + 0.217. What is the closest to 1 in 0, 4.9, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-516)\/(-96))\/(-43))\/((-896)\/(-112)).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (651 - 0)*(-18)\/27. Let i = 701 + p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*l - 8*l + 452*l)*(-17*l - 18 - 15 + 32) to the form f*l**2 + v*l + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1096 and -0.34.\nAnswer: -0.037264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72)\/54 + (-440)\/12. Which is smaller: k or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 3 + (-1 + 1 + 3)*(-5 + 5 - 7) - 3 - 1 + 1)*(6 - 4 - d - d) to the form p*d + g and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 5, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2. Let c(o) = -3*o**2 - 4*o + 8. Let t(d) = -7*d**2 - 9*d + 18. Let i(w) = 9*c(w) - 4*t(w). Determine u(i(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53175499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1432 and 15 + 3\/(24\/40).\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21 and 33097495?\nAnswer: -6950473.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 23*r + 1. Let u be k(1). Let z = -16 + u. Suppose -j + z = j. Solve -j*b = -9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -70213*l**2 - 187*l - 187. Let b(n) = -2265*n**2 - 6*n - 6. What is 187*b(m) - 6*x(m)?\nAnswer: -2277*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 - 9*t**4 + 7*t**4 - t**2 - 4*t - 7*t**3 to the form m*t + b*t**4 + h*t**3 + l + w*t**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50396 is divided by 7190?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 + 95 = c - 6*x, 10*x - 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + 64 = 0. Calculate the least common multiple of d and (5 - -1)*(2 - 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10624748\/5 or 2124951?\nAnswer: 2124951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1613268*m + 1613271*m - 4 = -u, -m - 298 = -15*u - 54 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*(1 + -1). Suppose g = 2*j - 0*j. Is j != 5\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74595864 and 54264.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3388 and 8833.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 20, 112*u - 110*u = 2*h - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894570 rounded to the nearest ten thousand?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308460 + -0.14450759.\nAnswer: -308460.14450759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.903 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*z + 7 = 0, -t + 3*t = z + 5. Suppose 3*f = 2*m - t*f - 107, -5*m - 4*f = -218. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/27496 and 109\/14.\nAnswer: 27496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 68 = -625. Let o = v - 397\/4. Sort 2\/3, -3\/5, -5, o.\nAnswer: -5, -3\/5, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10503 - 5082 + 4655)*(-2*b + 4 - 5 + 4*b).\nAnswer: -21860*b + 10930","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 215\/(-2))*44\/66. Suppose -4*a + 2*u + 22 = 0, -5*a - 4*u - 24 + v = 0. Solve -2 + a = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 - 3*k - 5. Let u be h(4). Let r = -2 + u. Let n be 7\/(-2)*(-1 - r). Round n to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 2*x)*(x + 4*x - 3*x) + 6*x**2 - 3*x**2 - 2*x**2 + 3*x + x + 1 + 2*x**2 + 0*x.\nAnswer: x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5568 (base 10) to base 15.\nAnswer: -19b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**7\/14 + z**6\/40 + 7*z**5\/4 - 37*z**4\/8 + 3*z**3 + 301*z**2. Find d such that t(d) = 0.\nAnswer: -3, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14324 is divided by 161.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 566132*s\/5 - 1132256\/5.\nAnswer: -2*(s - 283064)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 52*b**2 + 18*b**2 - 78*b**2 - 39*b + 39 + 10*b**2. Give i(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-40)*-2 - (-18)\/8. Suppose b - z*y + 3444 = 4*b, -1148 = -b + y. Suppose -4*k + 7*k - 5*d - b = 0, 0 = 4*k + d - 1523. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -297499*q - 297513. Determine y(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*k**3 - 25*k**2 + 6265*k - 183943051 wrt k?\nAnswer: 162*k**2 - 50*k + 6265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10082254 by -5642.\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 12 (c) -13 (d) 0.4 (e) 0.2 (f) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*h + 88867*h**3 - 538*h + h**2 - 2*h**2.\nAnswer: 88867*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.075 + 5.275. Let c = -2.2 + t. Is -9 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 94. Let t(m) = -m**2 + 3*m + 1. Determine t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -103*h. Let q(w) be the first derivative of w**3\/3 - 93. What is v(q(m))?\nAnswer: -103*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 59, 88, 117, 146?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/((-6)\/(-1 - -13)). Is 18 a factor of (88\/(-5))\/(b + (-16)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -167128\nAnswer: -501384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = -q, 0 = -2*y - 3*y + 3*q - 1. Let u = -2 + y. Are u and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24*(213\/2)\/(-3). Let d = k - 1661\/2. Calculate the common denominator of -70\/9 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-17)\/(-102)*(-5)\/(-7 + 87)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*t + 63 = 6, 5*t = -25. What are the prime factors of 86\/a + 2\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 932, 923, 914?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166511 + -3829756\/23. Let x(c) = -c + 4. Let v be x(5). Is v at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 8*k + g, -3*k - 219*g - 207 = -180*g for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -36.2.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111 (base 2) in base 4?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 22 = -3*i. Suppose 6*g + 10 = g, 0 = -m + i*g + 11. Does 21 divide (-41 + -5)\/((-2)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/3)*c)\/(c\/c**(-6)*c))\/((c**3\/c)\/((((c*c*c**(-2\/31)\/c)\/c)\/c)\/c)))\/(c**6\/c**8*(c**(-1\/2))**4) assuming c is positive.\nAnswer: c**(-688\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggooogoggggggooo. What is prob of picking 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 10, 5, 33 in decreasing order.\nAnswer: 33, 10, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15524883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -101, -202, -355, -578, -889, -1306, -1847?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75808 is divided by 15161.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 5. Let q be g(0). Suppose -21 = 2*j - q. Let d be (-1)\/2 - 36\/j. Solve -2*h = d + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76014 and -10.1.\nAnswer: 767741.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*f - 606*f**3 - 601*f**3 + 1208*f**3.\nAnswer: f**3 - 711*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132613936 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133.6 - -134.1. What is the nearest to -1 in u, -4, -3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 22919526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-8)*w)\/((w*w**(-7))\/w)*(w*w**(-4))\/(((w\/w**4)\/w)\/w) assuming w is positive.\nAnswer: w**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 13*n - 30. Determine g(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 21*t + 23. Let g be 92\/22 + 7\/231*-6. Let j(f) = 4*f**2 - 21*f - 24. Let m(a) = g*j(a) + 5*x(a). What are the prime factors of m(-24)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 20*c**2 + 23*c + 47. Suppose -14*o = 10*o + 504. Let t be y(o). Which is smaller: t or 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 - 40*p + 83. Calculate u(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 0*x**3 + 0*x**3 - 62*x + 40*x + 19*x**2 - 14. What is the remainder when (1 + -13)\/((-8)\/84) is divided by r(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**16\/u)\/u*u**10\/u assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from ekeekeekeee.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58517 and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 7 = -127. Let c be ((-2 + 19)*-1)\/(n\/8). Solve 4*w - 4*i + 20 = 0, 9*w - i = 4*w - c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10*u**5 + 356*u**4\/3 + 290*u**3\/3 + 44*u**2\/3 = 0.\nAnswer: -11, -2\/3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 7)*(2*r + 0*r - 5 + 3).\nAnswer: 8*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v - 15 = 0. Let m be 14\/6 - v\/(-9). Suppose g - m = -0*g. Solve -4*s = 3*h - 7, 0 = h - 2*h - g*s + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 3. Let o(s) = 4*s - 13. Let m(z) = -26*a(z) + 6*o(z). Suppose -3 = -b, -g + 6 = 2*g - 3*b. Let q(r) = -g - r + 6 - 1. What is q(m(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4 + 8. Let m = h - -3. Suppose -3*y + 5*o = -304, m*y + 4*o = -y + 445. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -128, -3\/5, -17 in descending order.\nAnswer: 5\/2, -3\/5, -17, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1792, -3545, -5296, -7045, -8792?\nAnswer: -10537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*b*b*b)**(-15\/4)\/(b**(1\/7)*b**1*b) assuming b is positive.\nAnswer: b**(-375\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(1 - (-1 + 4)). Let z = -10.3 + -2.7. Let s = 12 + z. What is the biggest value in y, -4, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbjpjbll. Give prob of picking 1 p and 2 j.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-546)\/21)\/26*(2\/4)\/(444\/(-24))\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357947803.\nAnswer: 17443, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 13. Solve 0 = -11*n + k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327500 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 + 5*k**2\/2 - 6*k + 1. Suppose 8*m - 78 = 21*m. Determine d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 2*d + 0*d + 4*d in the form u + y*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/48)\/(30\/(-240)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 626 or 625?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -2*i + 7*z - 13, 0 = 5*i - 2*z + 10. Let t(s) = s**3 + 3*s**2 - 2*s - 6. Give t(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 7 - 4*u**2 + 48663*u**3 + 11*u**2 - 24330*u**3 - 24332*u**3. Give g(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 14\/3 (b) -5 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1815 - 1759 = 28*c. What is the nearest to c in -0.31, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 759, 752, 739, 720, 695, 664?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -59, -104, -173, -272, -407, -584, -809?\n\"Answer: -k**3 - 3*k**2 - 11*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 4\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(352))\/sqrt(11) - ((sqrt(8) + sqrt(2) - sqrt(2))*2 + (sqrt(6)*-2)\/sqrt(3)))*-3.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2*s**2 + 0*s**2)*(2*s - s - 2*s) + 0*s**3 - 4*s**3 + 2*s**3 - 11 - 2*s**3 + 11 + s**3 - s**3 - 2*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*q - q. Suppose -2*w + 5*h + 16 = q, 0 = 4*w - 3*h - 23. Suppose -w*n = 5*p - 5, 2*n - 3 = -p - 0. Is p less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37352 by -8.\nAnswer: -4669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 682962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2109 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7) - (1290\/(-70) + 17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 13) to base 3\nAnswer: 111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/(l*l**(-1\/4)))**(-15\/2) assuming l is positive.\nAnswer: l**(435\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 343.9278kg?\nAnswer: 343927800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0 + 0)*(-1 + 0 + 0)*(5*w**4 - 6*w**4 - 2*w**4) + (2 - 2*w - 2)*(-2*w**4 + 3*w**4 + 0*w**4).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2915 and 12137.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1447*y**4 + 302 wrt y?\nAnswer: 5788*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.21 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, 1, 39, -14\/9, -5 in descending order.\nAnswer: 39, 3, 1, -0.5, -14\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u - 9. Let g(y) = -12*y + 11. Determine -4*g(t) - 5*q(t).\nAnswer: -12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1355501 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14334221 (base 5) to base 12\nAnswer: 74270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/42 - 325\/(-6). Suppose 10*b + p = 7*b. Let u be ((-1284000)\/b)\/((-1)\/150). What is u rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 26. Suppose -h - 4*h = -q. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.556729 rounded to three decimal places?\nAnswer: 1.557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7869 or -7868?\nAnswer: -7869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -7. Let u be (-1)\/2 - (-44)\/f. Solve -u*c + 3 = -22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/8 + 503*q**2 - q + 3. Let v(c) = -676*c**2. Let m(g) = g**2. Let f(o) = -507*m(o) - v(o). Give f(i(a)).\nAnswer: 1521*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and -11\/440490.\nAnswer: 440490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -124.2 - -0.37\nAnswer: -123.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-3))**(-7))**(3\/7))**(-21) assuming x is positive.\nAnswer: x**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3409 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 2, 2319, 3, 1 in descending order.\nAnswer: 2319, 3, 2, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -3029\/15. Which is the third smallest value? (a) -4 (b) w (c) 1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(sqrt(187) - ((sqrt(187) - (sqrt(187) + -5*sqrt(187))) + sqrt(187))*6 - sqrt(187)))\/(-5*(sqrt(396)*1 + sqrt(396))*-1).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*-937\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*-1.38.\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90 and -0.5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 - 169. Suppose h - 117 = -4*n, 113 = h + 24*n - 22*n. Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38069 rounded to 3 dps?\nAnswer: 0.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:27 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 + 11*l + 3. Let i be f(-6). Let g be (-5)\/4 + (-4 - i\/18). Factor g*x**2 + 1\/4 - 1\/2*x.\nAnswer: (x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/(-69) - (-4)\/46. Is 7 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.506 - -0.106. Let q = n - -34. Let i = q - 4.59999612. Round i to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-55) - 1\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 463190176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnntnnttnnnnnnnnn. What is prob of sequence tttn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.46 + 3.1. Let z = v - -0.04. Let j = z - 0.67971. What is j rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1282435 = 29*n - 7*n - 421927. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 25*z + 8. Which is the nearest to z? (a) -5 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 2690?\nAnswer: 2693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/120 - 13*q**5\/60 - 11*q**4\/8 - 4*q**3 - q**2 + 4*q + 79. Calculate f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*h - 49824, -2*w - 40*h + 24912 = -39*h. Calculate the common denominator of (-24174)\/w + (-3)\/(3\/(-2)) and 51\/22.\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -390, -921 in ascending order.\nAnswer: -921, -390, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11378 = 4*s, -4*s + 5508 = -5*o + 34023. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152793851 and 329.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-54)\/(-207978)) - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 1774256998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 3 = k + 9*u, -6 = -2*k + 3*u. What are the prime factors of 3 - -45*50\/k?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {p: 5, m: 1, r: 4, l: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638 - 3977*g + 1349 - 711 + 3975*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 21823.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -233*o + 75. Let d be l(-6). Let u be (14 - 17) + d*1. Suppose 5*k - u = -210. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 22268?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = 20. Let y(g) be the first derivative of -6*g**2 - g + 271. List the prime factors of y(q).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1377232 or 1377236?\nAnswer: 1377236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602348433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 62199*d**2 + 2226*d + 21. Let u(n) = 6220*n**2 + 212*n + 2. What is 2*t(q) - 21*u(q)?\nAnswer: -6222*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4) + 352 + (0 - -1). Let h = 310 - d. Which is greater: -47 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 605256 = 605586 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -59\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1306995 and 1306998 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2405 and 110?\nAnswer: 52910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/100)\/((-4)\/(-3)*37\/(-148)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d + 65. Let h be n(8). Solve 4*v - 3*v = h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 42*v - 752. What is c(-56)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -450 - -3599\/8. What is the third biggest value in -0.03, o, 1\/7, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 - -65. What is the highest common factor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*c - 4 = 0, 0 = 2*k + 3*k + 5*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/2)\/((-30)\/440). Let w = a + -44. Calculate the lowest common multiple of 2 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 10*f - 365. Let k = -44 + f. What is the remainder when k is divided by (-212)\/(-12) + (-2)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 53*q + 1071. Give r(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 45. Let c be w(22). Let u(l) = -6*l + 17*l + 5*l + 4*l + 2. What is the lowest common multiple of u(c) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r**3 - 2*r**2 - r**4 + 1536*r + 2*r**4 - 1537*r + 2 + 5*r**2 in the form n*r**3 + m*r**2 + x*r**4 + q*r + z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 40 - 2*n**2 + 0*n**2 - 17. What is the units digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2405*b = -2396*b - 648. What is the remainder when b is divided by ((-90)\/12)\/((-2)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, d: 1, c: 2}. Give prob of picking 2 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 849641024 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from xxxxxqxxqxq?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 328\/5 + -66. Suppose v = i - 1, 32*v - 27*v - 2*i - 13 = 0. Which is the smallest value? (a) -2\/11 (b) v (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6 - 5*k + k**2 + 3 - 7. Let y be f(7). Suppose 4*o + 3*c - 133 = 0, 0*o + 5*c = -y*o + 123. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*v - 54 = 0, 5*h - 62 - 19 = -v. Suppose -3*n + 22 = -5*s, -3*s - n = n + h. Let y(a) = a**2 + 2*a. Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67743573*u**4 - 119281574*u wrt u?\nAnswer: 812922876*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*q + 1 = 0, 3*q + 6 = 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 209, 674, 1557, 2996, 5129, 8094, 12029?\n\"Answer: 23*o**3 + 2*o**2 + 18*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/97600 and -123\/1280?\nAnswer: 390400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 - 2*p + 7. Suppose 3*d = -0 + 72. Suppose 4*v - 4*n = 8*v - d, -6 = -v + 3*n. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -61*n + 32*n - 133, -4 = 4*n + 4*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8 + 0*t**3 - 2*t + 2*t**3 + 6*t**2 - 3*t**3. Let n be i(6). Sort n, 2, 4 in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x. Let y(l) = -5*l**2. Calculate y(f(b)).\nAnswer: -125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*o - 160*o - 170*o + 475*o - 4*o**3 to the form n + u*o**2 + i*o + v*o**3 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60635 - -105536. List the prime factors of a.\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0133 + -1.9867. Which is the smallest value? (a) p (b) 2\/7 (c) -0.1 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 56, 104, 186, 314, 500, 756?\n\"Answer: 2*m**3 - m**2 + 15*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22047 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:59 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3712002, 3711942, 3711784, 3711480, 3710982, 3710242, 3709212?\n\"Answer: -8*w**3 - w**2 - w + 3712012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 697 and 81107?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187510*d + 22*f = -187514*d - 72, 2*d + 3*f + 36 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.730791l in millilitres?\nAnswer: 1730.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7804 - -0.2196. Which is the closest to v? (a) 1\/7 (b) -0.4 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76109 and 54723?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27271997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefqeffffeefffqb. Give prob of sequence eq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7954 - -11193. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89, -91, -93, -95, -97, -99?\n\"Answer: -2*k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -62*m + 28. What is s(-8)?\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*-1)*2)\/(4*sqrt(144)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -681, -2914, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2926 (base 10) to base 3\nAnswer: -11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -133 + -25 + 73 + 2\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -7*s**5\/30 + 5*s**4\/24 - s**3\/2 + 11*s**2 - 19. What is w(2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 0.2, -1\/145, 1, 1\/4, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + -1 - (21 + -12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 192182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*y - 3 - 65*y + 139 in the form g*y + x and give x.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285960337?\nAnswer: 13, 31, 54583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -22 + 162. Let j be ((-6)\/2 + (-378)\/42)*c. Calculate the highest common divisor of 444 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212.43 minus -27?\nAnswer: 1239.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2. Let k = 99 - 99.099. Let j = k + -0.901. What is the nearest to j in -1, 2, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 24*x**5 + 20*x**4\/3 - 151*x**3\/6 - 7*x**2 + 7*x\/6 + 1\/3 = 0.\nAnswer: -1, -1\/4, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) - sqrt(26)\/sqrt(2)) + -3 + (sqrt(13) - (sqrt(26) + sqrt(156)\/sqrt(6))\/sqrt(2)))**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 1 = 4*x. Suppose -61 = -2*j - x. Suppose -2*z - 35 + 117 = 0. Calculate the remainder when z is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1058 - -1063. Solve -2*i - j = 11*v - 6*v, -3*v - 3 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12 (b) -5 (c) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**4\/54 + 2*z**3\/27 + 8*z**2\/9 - z - 6. Factor n(s).\nAnswer: -2*(s - 4)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859349035.\nAnswer: 3, 5, 1489, 128021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -15*f + 2083. Suppose 0 = 3*n - 2*u - u + 183, -n - 85 = 5*u. Find the common denominator of n\/(-7)*((-330)\/f - -2) and -95\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s + 0)*(-3*s**4 + 0*s**2 + 0*s**2) + (0*s**3 + 0*s**3 + s**3)*(0 + 0 + 2*s**2).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 114800 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Sort d, -3, -1 in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 17*d**2 - 42*d - 2*d**4 + 42*d to y*d**2 + s*d**3 + x*d + g*d**4 + k and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/7 - 56120*q**3\/7 - 1456692*q**2\/7 - 3865104*q\/7 = 0 for q.\nAnswer: -14004, -23, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51585*x + 103372*x + 2*x**2 - 51589*x.\nAnswer: 2*x**2 + 198*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 74?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m - 73. Suppose 4*h - 19 = 2*h - o, o = h - 2. What is the remainder when 120 is divided by r(h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 42*x**2 + 73*x - 647. Determine l(-44).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + 0)*(34 + -29). What is the derivative of -167 - 54 - 3*b**3 + h - 2*b**2 - 5*b**3 wrt b?\nAnswer: -24*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199.2 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -419.1?\nAnswer: -419.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 3*a**2 + 0*a**2 + (-1 - 3 + 6)*(-a + a - 2*a**2) - 2*a**2 - 1 + 1 + 4*a**2 + 0*a**2 - a**2 - a - 2*a**2 - 3*a**2 + 4*a**2.\nAnswer: -8*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35*(-1)\/((-5)\/22). Let c(i) = -3*i**2 - 29*i - 44. Let l be c(-6). Calculate the highest common factor of l and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -104. Suppose -5*i = w - 52. Solve 8*t - i*t - 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 36928095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23. Let k(m) = 9*m**5 + 9*m**4 + 3*m + 9. Let l(d) = -d**4 + d - 1. Let x(z) = u*k(z) - 9*l(z). Find the second derivative of x(g) wrt g.\nAnswer: -180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 6*n - 4 = 0. Suppose 3*u - n*u + 14 = 3*p, 3*u = 5*p. What is the units digit of -1 + p + -4 - -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 10*l**2 + 11*l. Calculate w(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 + 6*q - 5. Let v = -2 + 14. Suppose -m - 32 = 5*x, x + 0 + v = -m. Give a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 + 6*b**2 + 6*b - 6. Let z(f) = -6*f**3 + 7*f**2 + 7*f - 7. Calculate -7*p(h) + 6*z(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 7*o + 6. What is y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0\/(-1*2). Suppose o = 3*c - 2*c. Let w be 1*(-1)\/(-9 - -2). What is the closest to c in -1, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**2 - 1 - 4 + 12 - 5 - 2 + q.\nAnswer: 22*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3084170 or -12336675\/4?\nAnswer: -3084170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, l: 1, c: 3, j: 2, x: 1}. What is prob of sequence jl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 1. What is the remainder when (0 + -1 - -41) + 1 is divided by c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*r - o, r = 5*r + o - 72. Let k be 1 + -4 + 8 + -9. Calculate the smallest common multiple of (-16)\/(-12)*(-6)\/k and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 8, l: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 2*b + 1. Let t(x) = -224*x**2 + 355*x + 2. Let d(c) = 2*l(c) - t(c). Find the second derivative of d(q) wrt q.\nAnswer: 436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 29658.\nAnswer: 2\/14829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-9)\/(-12) + 1. Let o be -3 + (3 + s - -2). Solve 3*g - g + o = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/69)*d)**(2\/69)\/(d**(-22)*d\/(d\/d**(5\/6))*d))**(-22) assuming d is positive.\nAnswer: d**(-2118457\/4761)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1986957\/(-14) - 4)*(-2)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1548028 - -2425839. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171345935248 minus -15?\nAnswer: -171345935233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4531026 is divided by 199?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -20. Suppose 0 = 4*t - j*t - 77. Let h(x) = 31*x**3 + 3. Let l(z) = 155*z**3 + 16. Let s(w) = t*h(w) + 2*l(w). Determine s(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(228)*1*-4 + 3*sqrt(228)*-2)\/((sqrt(192) + -2*sqrt(192) - sqrt(12)) + -1*sqrt(108)))**2.\nAnswer: -5*sqrt(19)\/2 + 491\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/36*99\/(-330).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703521 and 121212?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c + 2*c. Suppose 4*z - 2*x = 1743 + 887, 3*x - 675 = -z. Let h(d) = -z*d + 2 + 659*d + 0. Calculate h(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295337 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1412321 - 5?\nAnswer: 1412313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.655 + -1.855. What is the fourth biggest value in 0, 0.3, 0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/5)*d**(1\/3))**(-15) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -199, -453, -809?\n\"Answer: -51*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 42.2. Let n = 41 + -15. Let d = n + -25. What is the nearest to -0.1 in d, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -10, -5*b + 55 + 10 = 3*t. Let k be -2 + b\/2 + 2. Suppose -81 + k = -4*f. What is the highest common divisor of f and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 775706.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1970.07 - -1970. Let c be -5*(-1 + (0 - 0)). What is the closest to i in -0.5, c, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2044 + -35111?\nAnswer: -33023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872108582, -872108583, -872108584, -872108585, -872108586?\nAnswer: -872108587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 25, -5, 5 in descending order.\nAnswer: 25, 5, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251124341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15607438, -0.6.\nAnswer: -15607438, -2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 5?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 75*i**2 - 26*i - 2194. Give w(-75).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/14 - 5*y**3\/21 - 2*y**2\/7 - 2*y + 4. Let r(s) be the first derivative of w(s). Factor r(v).\nAnswer: -2*(v + 1)*(3*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*t = 23, -4*t + 2*t = p - 14. Let d(u) = p*u + 0*u**2 + 6*u + 0 + u**2 + 5. Let a be d(-9). Sort a, 0, -5 in descending order.\nAnswer: 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -2b707c?\nAnswer: -2b7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Suppose 6*s = m*s + 9. Solve -4*i + 25 = 3*j, -3 = -5*j + s*i - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3732 greater than -14925\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -28?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -83) + 10 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*c = 7*c + 4, -5*o - 5*c + 20 = 0. What is the second derivative of -36*z**4 - 23*z**o + 78*z - 14*z wrt z?\nAnswer: -708*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.8 and 1.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1885 and -25\/2639.\nAnswer: 13195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/15 - 56*c**3\/5 - 114*c**2\/5 - 172*c\/15.\nAnswer: 2*c*(c - 86)*(c + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36224937 is divided by 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 23*k - 13. Let i be (-42 - -37)*(-2)\/5. Let d(c) = -1 - 8 + 5 - i + 11*c. What is -6*a(j) + 13*d(j)?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from daddadddddd?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 2*m**2 + 4*m**2)*(2*m - m**3 - 2*m) - 3*m**5 + 0*m**5 + 0*m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 9*h + 1. Let r be j(-9). Let z be (-11 - (r - 2))\/1. Let t = z + 14. Is 4 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 8*k + 3*k)*(-3 + 3*k**2 + 3) + (2*k - 5*k**2 - 2*k)*(-3*k + 0*k + 2*k).\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 8*j**2 - 2*j - 7. Let q(f) = f + 7. Let d be q(-7). Suppose d = k - 0*k - 7. Let s be r(k). Round s to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 65 = -13*g. Calculate the remainder when 103 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*t - 86*t**2 + 52 - 142*t - 133*t - 53.\nAnswer: -86*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*((sqrt(2057) - -1*sqrt(2057)*2)**2*1 + -4).\nAnswer: -166581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, p: 4, w: 1, z: 7}. Give prob of sequence zxwx.\nAnswer: 49\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-52) + (-28)\/156. Which is the second biggest value? (a) -0.2 (b) 6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554857?\nAnswer: 19, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 66 = 2*l + 3*w, -2*l = -2*w + 24. Let g(y) = -y**2 - y + 5. Let t be g(4). Let h = l - t. Solve h = 4*r + 4*z + 20, -22 = 2*r + 5*z - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -149, 43 in decreasing order.\nAnswer: 43, 12, 2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*7*2. Let y = m - -15. Solve y = -c - c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 4*q - q)*(46 + 55*q - 20*q - 36*q + 2*q**2) as g + a*q**2 + m*q**3 + l*q and give l.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, o: 3, b: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 199460*a - 5784346. Determine b(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1810.5 + 1810. Which is the smallest value? (a) -7 (b) 0.2 (c) 24 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037740163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 6. Let c be j(-5). Let y(p) = -p**2 + 7*p + 8. Let h be y(8). Suppose 2*t + 0*t + c*l - 12 = h, -t - 5*l = -15. Solve w = -t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 925\/259 + 1\/((-21)\/(-9)). Sort k, 8, -11, -5.\nAnswer: -11, -5, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812656291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38\/21 - 15\/7. Let d = -6.3 - -4.2. Which is the smallest value? (a) d (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - 5*u**2 - u. Suppose -29 = 6*m + f, 5*m + 5*f - 168 = -213. Let i(l) = -4*l**3 + 4*l**2 + l. Give m*i(p) - 3*w(p).\nAnswer: p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-774)\/81 + 12 - 4\/9. Suppose p - a - 9 = 3, -3*p = 4*a - 15. Suppose p - v = o. Calculate the remainder when 18 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -20133?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**5))*i*i\/i**(1\/15))\/(((i\/(i*i**(-2\/13)))\/i)\/((i\/((i*(i*i\/(i*i**2\/i*i))\/i*i)\/i))\/i)))**24 assuming i is positive.\nAnswer: i**(-344\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 3 = -5*x + 5*k, 0 = 5*x + 4*k - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 6}. Give prob of picking 3 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3*-2*24. Solve -2*i + 2 = -3*j, j - 4*i + 0*i - n = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54603 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -53 times 3\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 + 9\/(-4). Let i be (-15)\/4 + (-90)\/(-120). Is i equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q + 12 = -171 - 557. Solve 205*x - q = 200*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(405) + 2*sqrt(405))**2 + 2*sqrt(20)\/sqrt(4) + 2).\nAnswer: 6*sqrt(5) + 32811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 - 12*h + 2. Calculate y(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*((sqrt(363) - -5*sqrt(363)) + 3))**2 + (sqrt(363) + (sqrt(363) - (sqrt(363)*-1)**2*5) + sqrt(363) - 1*sqrt(363)*1) + 1.\nAnswer: 1606*sqrt(3) + 50491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1060226 months in decades?\nAnswer: 0.009216855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 298897168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 15*p**2 - 14*p + 35. Let c be l(14). Suppose 0 = 5*u - 5*g - 140, 5*u - 175 + c = -2*g. Does 28 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5626 - -20403?\nAnswer: 11444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**2 + 1604*g + 534.\nAnswer: 2*(g + 267)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jlljjjjljljjjjjjjjlj.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -338292+62.88901\nAnswer: -338229.11099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:07 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Let l = g - -2. Solve -5*o - 8 = -2*w + 6, 4*o = l*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915088933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3996 (b) -0.3 (c) -1\/6 (d) -0.1 (e) -94 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/90 and ((9\/(-12))\/3)\/(1190\/(-3024)).\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 + v - 4. Let g be y(5). Let n(f) = 1 - g - 4 - 9*f. Is n(-5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 12:29 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 617917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90 - 2471*o**2 + 2562*o**2 - 390 wrt o?\nAnswer: 182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.95 - 32.95. Which is the nearest to -0.1? (a) 0.2 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2553 (base 9) to base 4.\nAnswer: -131313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(1088)*-2)**2 + 1)*-3 - (-5*(1 + sqrt(1088)) - (-2*sqrt(1088) + sqrt(1088) + 5))**2) + 4).\nAnswer: 3200*sqrt(17) + 152815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1785\/(-70)*90\/(-102). Let x(d) be the second derivative of -5*d + m*d**2 - 20\/3*d**3 + 0. Find the first derivative of x(n) wrt n.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-314)\/28 - (-303)\/1414?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s + h, 2*s - 3*h = -5*h. Solve 6 = 2*p + 3*a + 1, 0 = -s*p - 3*a + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/450 and 79\/7453660.\nAnswer: 335414700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 23. Calculate the greatest common divisor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337170278.9999989 + -337170258. Let f = m + -21. What is f rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -129, -142, -159?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79175 + 37546 = 117*s - 472842. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3170*15)\/((-3)\/360). What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 50*d - 25. Let k(w) = -504*w + 261. Let m(n) = 2*k(n) + 21*v(n). Let l(z) = -209*z + 16. Give -2*l(y) - 11*m(y).\nAnswer: -44*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38679276 divided by 9669819.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -557 (b) 4 (c) 0.8 (d) -2\/5 (e) -1 (f) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3674 (c) 6 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at most -1303.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l - 7 + 7 - 6 + l**2 + 5. Determine g(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380 = -3*b - 4*f - 1432, -5*b - 3*f - 50 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - 7*c - 12. Let f be m(-6). Find the common denominator of -83\/2 and (-4 - f)*(-3)\/(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32860077 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*l - 185*l = 8497 - 2649 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2252*y + 1. Let d be u(-5). Let n be -26261*((2 - 3) + 2). Let z = n + d. What is z rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13335 + -6408. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19450*c**3*n**2*u**3 + c**3*n**2*u**2 + 95*c**3*u**2 - 169*n**2*u**2 wrt u.\nAnswer: -116700*c**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -3.08. Suppose 2*u = 3*l + 17, 0 = 5*u + 5*l - 49 + 69. What is the fourth biggest value in -0.1, 13, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59690.23 decades in months?\nAnswer: 7162827.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let r(q) = 25*q**2 + 2310. Give r(h(v)).\nAnswer: 25*v**4 + 2310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -29. Suppose s*r - 7*r = 10. Let o = r - -23. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153*4\/243)\/(4\/(-6)).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.945 - -1.345. What is the biggest value in -7\/4, -2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419 (base 15) to base 3.\nAnswer: 1021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2322 = 99 + 6745. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(5\/4)\/(b*b\/b**(1\/2))**(3\/4))**(-41) assuming b is positive.\nAnswer: b**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (4 + -6 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.0000074 + 30. What is g rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 9*u**2 + 5*u + 6. Let g be h(5). What is the second smallest value in -0.3, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -4 + -8 + 5 + -21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-3)\/(-1) + (18 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5)*q)\/(((q**(14\/3)*q)\/q)\/q))\/(q\/(q*q**6*q)*q*q*q*q**8\/q*q) assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1909\/5 - -382. Let n = -0.3 + 0.2. Let p = n - 0.1. Which is the closest to o? (a) p (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 246350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 14*q + 573. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/39*10\/15.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -5*u - 100 - 107 + 202, -19 = 2*u - x for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, v: 1}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 384 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*(748\/51)\/22?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -49550 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4.94. Let g = x - -0.36. Let k = -0.4 + g. Is k less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109384339 to the power of 1\/3, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-719061.\nAnswer: 2157183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c + 3*l + 1197, -393 = -c - 2*l. Suppose -c = -4*k + 75. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 15*z - 412. Suppose -z = -4*x - 31. What is the highest common factor of 162 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s - 3. Determine g(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 134, 410, 940, 1808, 3098, 4894?\n\"Answer: 14*y**3 + y**2 + 5*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17105 * 14.\nAnswer: -239470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31698 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78)\/(-5) - (-2)\/5. Let b be (1 + (-145)\/(-35))\/(6\/28). Calculate the greatest common divisor of g and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6009 (base 16) to base 4.\nAnswer: -12000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 + -2.191205?\nAnswer: -700.191205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535984 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -144 - -25?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)\/x)\/x**1*(x**(-4)*x*x)\/x**(-2\/5))\/((x\/(x\/(x*x**1*x*x)))**(-20)*x**(1\/2)\/x**(1\/5)) assuming x is positive.\nAnswer: x**(6829\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 16*p + 18*p - 1 + 3*p**2 - 1. Let v be k(1). Let w = 0.1 + -0.2. What is the closest to w in -3\/5, v, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -2*y. Let q be (y - -1)*(-12)\/(-8). Is q less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726823 + 251485 = -6*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 2 + 4 + 3 - 3. Let j = 4 + 2. Let y = j + -2. What is n(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 4. Let f be (1 - -3)\/(l\/2). Suppose -2*y = -f*y + 54. Let o(g) = 6*g + 11. Let q(b) = 3*b + 5. Determine y*q(i) - 4*o(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 7*j - 4. Let m be r(-6). Let z(t) = -10*t**2 - 12*t**m + 14*t**2. Give z(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20969, 112, -1 in descending order.\nAnswer: 112, -1, -20969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6810.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 4*k + 2*f + 18, -11*k + 51 = f. Calculate the least common multiple of (-47)\/(-9) + (-2)\/9 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221221002 + -102?\nAnswer: 21221220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/8 - (-8215)\/1240\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from pypyo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 15 + 15. Let o = 45 + c. Let k = o - 2. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -24*z**2 - 1900*z + 3565. What is v(-81)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/20 - (-10)\/4. Let v(k) = -5*k**2 - 1. What is v(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 657856?\nAnswer: 26314.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let t(d) = -d**3 + d**2 - 2*d + 2. Let y be t(1). Which is the closest to y? (a) -4 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0\/(-3 + (9 - 7)). Suppose -w + 0 + 11 = 0. Let u = w - 15. Put h, u, 4, -2 in descending order.\nAnswer: 4, h, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 4. Let x be j(2). Solve -m - 2*m - 12 = x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -638 and 0.030829.\nAnswer: -19.668902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**5 - g**3 + g + 1. Let h(s) = 4*s**5 - 4*s**3 + 4*s**2 + 4*s + 4. Let c(y) = -h(y) + 4*u(y). Find the third derivative of c(w) wrt w.\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/158795 and 59\/140?\nAnswer: 635180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -17.3. Which is the smallest value? (a) 4 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5442, 5444, 5456, 5484, 5534, 5612, 5724?\n\"Answer: q**3 - q**2 - 2*q + 5444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, -3\/2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -7, 0.0468, -2 in increasing order.\nAnswer: -7, -2, -0.4, 0.0468, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 521.1 + -521. What is the nearest to 0 in c, 9, -1, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 - 75 = 2*z, 8 = -4*z. Calculate the lowest common multiple of y and 2856.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7800 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 4*a - 40. Let c(b) = b**2 - 19*b - 38. Let d be c(21). Let j be l(d). Let v(k) = -k**2 - 7*k - 7. Give v(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4906710561 + -2783.\nAnswer: -2782.5093289439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -373.912918 rounded to the nearest integer?\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) 3\/8 (b) 0.01 (c) 5 (d) -0.5 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -29 + 35 - (-5)\/((-10)\/(-2508))?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 - 2 - 2*45\/(-6) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 260*r**2 + 5*r - 260.\nAnswer: -5*(r - 52)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a + 7*a**3 - 5*a**3 + 24 - 4*a**3 + a**3 - 36*a + 10*a**2.\nAnswer: -(a - 6)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27963\/835 - 52\/167. Let u = 34 + b. Do u and -0.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 70960*g + 212864. Calculate t(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.82296cm to nanometers.\nAnswer: 568229600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1*10*7\/(-140)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/(-11))\/(4\/(-3)). Suppose y = c + 1, -4*c - h*y = -8 - 2. What is the closest to 2\/3 in 3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6863\/171 + 540\/19. Is h smaller than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -150, -325, -664, -1221, -2050?\n\"Answer: -9*n**3 - n**2 + n - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -7) + (4 + -5)*5. What is the closest to a in -1, -4\/3, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35274 + 0?\nAnswer: -35274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-3)\/m*m)*m*m\/(m\/(m**9*m)))\/(m**(2\/9))**11)\/(m**12\/m*m\/(m*m**(-1\/11))*m)**45 assuming m is positive.\nAnswer: m**(-52622\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -152 + (3 - 0) + -1. What are the prime factors of (-18)\/(-63) - g\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coccoo. Give prob of sequence coo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}