diff --git "a/data/dm_maths/full_data_2/251_11255.jsonl" "b/data/dm_maths/full_data_2/251_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/251_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 914397 - 914098 = 13*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 209. Suppose b*d + 39 = 37*d. Suppose u + 3*s - 26 = 7*s, u - 5*s = 30. Calculate the remainder when d is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzzzzzzzzzzzzz. Give prob of picking 1 b and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4*i + 2*i - 7 + 29*i**2 - 104*i.\nAnswer: 29*i**2 - 98*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 78*y**2 + 333*y + 248. Let b be c(34). Factor 9\/2*a**3 - 3*a**2 - 4 - b*a.\nAnswer: (a - 2)*(3*a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(-1))\/b))**(-21))**12*b*b**8*b**(-3\/2)*b**(-8)\/((b\/b**(-7))\/b) assuming b is positive.\nAnswer: b**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5640 and 9480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 2*c**2 + 2*c**2. Let f(l) be the second derivative of l**3 - l. Determine f(z(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 474384601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - (-11 - -3 - 268) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472488884?\nAnswer: 2, 7, 19, 199, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(-3)*q**(-3\/10)*q**(2\/13)*q*q assuming q is positive.\nAnswer: q**(111\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3)*d)\/d)**(-4\/7))**(-11)\/(((d*d**(1\/3)*d)\/(d*d**0))\/((d**3\/d)\/(d**(1\/4)\/d))) assuming d is positive.\nAnswer: d**(157\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5. Suppose h - 6 = -s. Solve h*u - 4*u + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = 5*s, -5*l + 1 - 11 = 3*s. Let x(a) = 4*a + 223. Is x(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (15\/(-12) - -5)\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(343) + 4 + -4.\nAnswer: 2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/420 - n**5\/210 - 19*n**4\/21 - 20*n**3\/3 + n**2 - 2*n - 15. Suppose v(z) = 0. Calculate z.\nAnswer: -7, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = w, -3*m + 7*m = 3*w + 1. Let j = -7065 - -70651\/10. Let z = -3.7 + 4. Which is the closest to m? (a) j (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -0.2, 72, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*u = 6, 4*p = -0*p - 2*u + 12. Suppose 48 = p*c + 2*c. Solve n = -3*n - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3981 by -32.\nAnswer: -3981\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26606*v**3 + 2*v**2 + 10*v + 4730.\nAnswer: 159636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/10 + (-396)\/(-660). Solve 0 = -2*m + n*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -14, -127, 8.1, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-10))\/(4\/(-10)). Let s = 8682 - 8684. Let r(p) = -p - 15. Let j be r(-10). Which is the smallest value? (a) s (b) j (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ediv when four letters picked without replacement from vyiyefffvdiy.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -19. Let l = -1 + 0.5. Let t = 1 + -2. What is the nearest to p in t, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 7\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 2*t**2 - t**2 + (-4*t + 0*t + 5*t)*(-1 - 2*t + 1) + (t + 2 - 2)*(3 + t - 3).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:09 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 6*y**2 - 2*y**2 - 7*y**2 + 4*y**2 - 8*y**2 - 3*y**2 + 2*y**2 - y**2 + (5 - 1 - 2)*(y**2 + y**2 - 3*y**2).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 23. Give l(-35).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257319, -1029250, -2315797, -4116960, -6432739?\nAnswer: -9263134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 55. Let t be z(13). Let w be (0\/(2 + t))\/(12\/(-4)). Suppose w*i - 2*i - 3*r - 7 = 0, 0 = r + 1. Put i, 0, 6 in descending order.\nAnswer: 6, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 761, 6, -6 in descending order.\nAnswer: 761, 6, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 539 - 534. Solve -m*l + 5*a + 8 = -22, 22 = 3*l - 4*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301171 (base 8) to base 9\nAnswer: 160640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2\/2 - 9*r + 5. Let q(i) = 2. Calculate -10*q(d) - 2*u(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 7*t + 6*t. Which is the closest to t? (a) -3 (b) -70 (c) -0.5 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let t be u(-5). Let k = 8 + -6. Suppose -s = -k*s - 3. Sort s, t, 4 in increasing order.\nAnswer: t, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2705 + 1931 = -134*h - 110*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 225608.63 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17022 - -2677. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76434?\nAnswer: 2, 3, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a minute in seconds?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55800 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150556 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) + (-32)\/(-18). Suppose -s = 2*f - 97, 2*s + 4 = -g*s. Calculate the remainder when f is divided by 68\/(-2)*2\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606076693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43\/5 - 124\/15. Let l = -10332 + 31000\/3. Factor -l + b*u**2 + u.\nAnswer: (u - 1)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1772 in decreasing order.\nAnswer: 4, 2, -1772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 225802676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -20*g - 2. Let h(b) = -7*b - 1. Let j = -3 - 3. Give j*u(d) + 17*h(d).\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6264 or -6194?\nAnswer: -6194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7748090?\nAnswer: 2, 5, 7, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 23*z - 227. Let h = 42197 + -42187. Give v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302490 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1794*k + 17040 = 1814*k. What are the prime factors of k?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -242 and -374690.\nAnswer: -374932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 8*r**2 - 9*r + 6. Let n be z(9). Factor -2*c**3 - c + n*c**2 + 10*c + 4 - 2*c**4 + c.\nAnswer: -2*(c - 2)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2215, -2264, -2313, -2362, -2411?\n\"Answer: -49*h - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*o - 8*o + 12*o)*(-375 - 140 - 7 - 892 - 179) to the form q + d*o and give d.\nAnswer: 20709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1033275 and 38\/35.\nAnswer: 7232925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 352 - 140. Let t = r + -213. Which is smaller: t or -3\/203?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937678349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6470979 or -6470918?\nAnswer: -6470979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 32*o**2 - o - 32. Let u be s(-32). Suppose u = -3*k - 130 + 151. Calculate the remainder when 19 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -4 + 6\/2. Suppose -5*j + 400 = -j + 2*m, 2*j - 184 = i*m. Let q = 177 - j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -518 + 8*i - 1173 - 7*i - 560 to x*i + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-125))\/(8\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706229?\nAnswer: 317, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccccccccxcxccc. What is prob of sequence cxc?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*x + 80 = 2*x, -3*x + 82 = -4*j. Let q(c) = c**3 + 20*c**2 - 6*c + 1. List the prime factors of q(j).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 2 + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*5*5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94315, -188641, -282967, -377293?\nAnswer: -471619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 less than 0.09?\nAnswer: 143.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 36*b + 2*b**3 + 38*b - 2 + 52*b + b**4 - 26*b to c + q*b**2 + a*b**4 + r*b + o*b**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 31. What is the remainder when 11 is divided by (1\/s)\/(12\/(-336))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 4*g)*(g + g + 0*g) - 2*g + 2*g + 2*g**2 - 3*g - 2*g**2 + 3*g + (-2*g + 1 - 1)*(-3 + 3 - 2*g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2506 and 895?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 3, k: 2, i: 2, q: 3, d: 4, w: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2*5\/5)\/(2\/44*11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - z = -1, -20*z + 22*z = 2*w + 6. Which is the fourth biggest value? (a) -0.5 (b) 0.4 (c) w (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2600)\/(-32) + 2\/(-8) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12\/c**(-7))**(-5\/2) assuming c is positive.\nAnswer: c**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2135, 2109, 2035, 1889, 1647, 1285, 779, 105?\n\"Answer: -4*m**3 + 2*m + 2137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1297 (b) 0.2 (c) 3\/4 (d) -20 (e) -32\/7 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4277 - -4279. Let g = 342 - 236. Calculate the greatest common factor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2358 = 2*z + 4*z. Suppose 1182 = 3*a + 4*m, a + 5*m - 4*m = z. Let b = 601 - a. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15692*y**3 + 3*y - 18638*y**3 + 0*y)*(-1 + 1 + y).\nAnswer: -2946*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 397261.2 years?\nAnswer: 397.2612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w. Let v(a) = -7*a. Give -4*t(k) + 9*v(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 = 3. Put x, 4, 1 in descending order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/23 - 58\/(-667)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:06 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -146*w - 1. Let r(k) = 25*k. Let h(b) = -2*c(b) - 11*r(b). Let g(i) = -33*i**2. Give h(g(a)).\nAnswer: -561*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 + 6*m**2 + 5*m. Let p(n) = 3*n**3 + 5*n**2 + 4*n. Let o = 125 + -122. What is o*u(b) - 4*p(b)?\nAnswer: -3*b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*r - 0*r, 0 = -2*o + 2*r + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120243 (base 5) in base 9?\nAnswer: -6082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33408 + 67704.\nAnswer: 34296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92531826.\nAnswer: 2, 3, 5140657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279151*g - 139567*g + 1429*g**2 - 139584*g.\nAnswer: 1429*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-7))\/(2*30\/(-2380)). Let x(y) = -3*y + 100. What is x(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -2550\/13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.7374 nanograms to tonnes.\nAnswer: 0.0000000000000587374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3605 - 3600. Suppose -3*h - 4 = 2. Let t(l) = -l**2 - 2*l + 3. Let o(m) = 5*m**2 + 7*m - 13. Let p(y) = h*o(y) - 9*t(y). What is p(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -91 and -92 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -4*g - h, -71*g - 5*h = -67*g + 27. Let n = -17\/11 + 175\/99. Let o be ((-2)\/10)\/(6\/(-15)). What is the second biggest value in o, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577444 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5.9*-0.032\nAnswer: 0.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 32. Let x(a) = -10*a + 9. Let d(m) = m - 1. Let o(h) = k*d(h) - 2*x(h). Let z(w) = 2*w. Determine z(o(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*a**2 - 2252911*a + 2252911*a - 33 to f + c*a + v*a**2 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -22. Let n(s) = -s**3 + 5*s**2 - 5*s - 2. Determine n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31753 by 20.\nAnswer: -31753\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, -6, 3, 4 in ascending order.\nAnswer: -6, 3, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -939.261104 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672972.8ml to litres.\nAnswer: 672.9728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/24*(8484 + 0). Let h = y - 101693\/18. Find the common denominator of (-51)\/(-2)*5\/(495\/(-8)) and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - f + 5535, 4*c + 42*f - 37*f = 4428. Calculate the least common multiple of 123 and c.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*u = -k + 3*k - 29, 2*u = k + 17 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -25. Suppose y*s - o - 40 = s, 5*o = 0. Solve -3*z - 2*z = s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*t - 36 = 0, -t - t + 214 = 4*o. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3732 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p**2 + 3*p**2 - p**2)*(-12*p**2 + 56*p - 56*p) + (4*p**3 - 3*p**3 + 2*p**3)*(6*p + 16*p - 3*p) to s + n*p**2 + c*p + f*p**4 + b*p**3 and give f.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2028285 years in decades?\nAnswer: 0.02028285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 17*l**2 - 4*l + 5. Calculate c(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*w - 12 = 0, -8*w + 5 = -3*w. Sort h, 0, -2 in descending order.\nAnswer: 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1375511288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-4\/11)*(v\/v**(-3))**(19\/2) assuming v is positive.\nAnswer: v**(426\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.48 - 1.52. Let f = 50.89 + -51. Let m = -0.1 - f. What is the closest to 0 in u, m, -1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -14*f - 2*t + 12, 3*t = 0. Which is the third biggest value? (a) f (b) 1\/4 (c) -2\/69 (d) -2\/115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*n = 2*n + 15, m - 4*n = -9. Suppose 0 = m*y - 4*y - 3. Put y, 5, 1 in decreasing order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4512*w - 4*w**2 + 8243*w + 4*w**2 + 2*w**3 - 1.\nAnswer: 2*w**3 + 12755*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4661402, 4661403, 4661404, 4661405, 4661406, 4661407?\n\"Answer: y + 4661401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 23*w + 66. Let d = w + 12. What is the units digit of (-28)\/d*(-245)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 201*t**2 - 18*t + 72. Let s(z) = 134*z**2 - 13*z + 48. Let h(g) = 5*o(g) - 7*s(g). Differentiate h(a) with respect to a.\nAnswer: 134*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 3*n + 32*n + 35*n - 22*n.\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*156\/39)\/(1\/((-99)\/24))?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 489*c - 487*c - 514. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-66)*(36\/(-8))\/(-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q = 4*w + 12, 0 = q - 2*w - 249 + 497 - 245 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k - 26*k + 355. What is the remainder when k is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11580 by -10.\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 33*g - 61. Let w be y(35). Is 25\/3 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 426?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9896351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*z + 181 = -151. Let l = -30 + 40. Solve 4*k = 4*y - y - l, -4*k - 24 = z*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:57 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -1226, -2175, -3124, -4073?\nAnswer: -5022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + 222. Calculate the greatest common factor of j and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -0.03 (c) -1\/3 (d) 1 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/23 + 591\/92. Let m be (-2)\/10*130\/(-4). Let n = g - m. Is 7 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/5, -5\/6, -6, 2\/7 in descending order.\nAnswer: 2\/5, 2\/7, -1\/4, -5\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1934*n + 9555*n + 218291 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 562489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111802?\nAnswer: 2, 3, 7, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**4\/24 - 5*c**3\/6 - c**2\/2 - c. Let d(g) be the first derivative of p(g). Suppose 4*o - 7*o + 15 = 0. What is d(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.86 to zero dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 137. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.26 + 49. Let z = s - 52.74. Let t = -53 - z. Which is the nearest to t? (a) -1\/5 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose 0 = 3*w - 3*h - 19 - 5, 0 = -3*w - 2*h + 4. Suppose k + 6 = -k. Sort k, w, j in descending order.\nAnswer: j, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/(1\/4). Let s be -3*(0 - (-12)\/(-9)). Let j(o) = -o**2 + 6*o - s + 3 + 2*o**2. What is j(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 4, 1\/5, 1\/36, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/60 + 5*a**4\/12 + 2*a**3 - 2*a**2. What is the units digit of d(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w + 2*w - 5*w)*(2 + 0 - 3) + 204*w - 334*w + 189*w - 6 to l + m*w and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (445778 - 445778 + 46*i**2)*(-2*i - 4*i + 4*i)*(0 + 0 - 1)*(-69*i + 4*i**2 + 69*i).\nAnswer: 368*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91973 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226.49 + 5.49. Let x = -128 - m. Let p = x + -92.95. Which is the nearest to -2? (a) 1\/3 (b) p (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 56, 163, 310, 491, 700?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4223208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4160 = -437*i + 2395 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-63) + 68\/18 + 16. Let n(c) = -507 + 507 - x*c**2. Let b(t) = -2*t**2. Determine b(n(w)).\nAnswer: -800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 4. Let h(a) = 6*a - 25. What is 6*h(f) - 34*x(f)?\nAnswer: 2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 2*r**2 + 2*r + 2. Suppose 0 = -5*n + 11 + 4. Suppose n*b + 8 = -b. Let s(k) = k**2 - k - 1. Determine b*t(y) - 4*s(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/26*12\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbbv when four letters picked without replacement from {v: 2, b: 1, s: 2, l: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2526\/10 - 2\/(-5). Calculate the greatest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 148*g**2. Let s(t) = 2*t. What is s(w(l))?\nAnswer: 296*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 77.963*4.076\nAnswer: 317.777188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*394\/(-1540) + -109*1235\/(-296153)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(242))*1 + (sqrt(242) - (1 + sqrt(242)*-2)**2))*-5.\nAnswer: -14535 + 990*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*x + 423. Suppose x = w + 3*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -3 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 + 27 - 25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 60286464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 70*s**2 - 2*s + 7. Let h be i(0). Solve h*b = -0 + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 42*c**2 - c - 2. Let k be w(-1). Suppose 0 = r + k - 103. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00452 and 0.1?\nAnswer: 0.000452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8761, -17288, -25815, -34342, -42869, -51396?\nAnswer: -59923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.99 - -6. Let r = 0.09 + p. Let c = 1.112 - r. Round c to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a**3 + 1928*a**2 - 15376*a + 2016 = 0. What is a?\nAnswer: 2\/15, 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 7*u = 105. Suppose 0 = u*m - 2911 - 6497. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - f + 1. Let s(l) = -l**3 - 7*l**2 + 9*l + 3. Let g(j) = s(j) + y(j). What is the tens digit of g(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -y - d, 0*y - 182 = -4*y - 5*d. Suppose -2*p = -6*p + y. Suppose -3*x + p = -24. Calculate the remainder when 35 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345 + 1345 + 11*s**2 - 13*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 + 3*p**2 + 8*p + 8. What is i(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f + 60 - 37 - 43. What is a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34747 divided by 1?\nAnswer: 34747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4.5. Let f = -186.48 - -186. Let s = -0.38 - f. Sort s, r, 3.\nAnswer: r, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**4 + 64*v**3 - 62*v**2 - 116*v + 26. Let h(t) = -2*t**4 + 7*t**3 - 7*t**2 - 13*t + 3. Let c(f) = 52*h(f) - 6*p(f). Factor c(b).\nAnswer: -4*b*(b - 1)*(b + 1)*(2*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from {p: 2, a: 3, b: 7, i: 3, x: 5}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 11. Suppose 0 = -3*g + 6 - 24. Let c be p(g). Are -1\/2 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13420 (base 7) in base 4?\nAnswer: -320320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 6, z: 2, m: 2, h: 1}. Give prob of sequence mz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 451768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-38)\/(-8) - ((-35)\/10 - -8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(7) + 1) + 5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -95, 1 in increasing order.\nAnswer: -95, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, o: 2, x: 1, r: 1, t: 1}. What is prob of sequence xm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -117.05, 0.05, 2, 2\/9, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38, 59, 94, 143, 206, 283, 374?\n\"Answer: 7*x**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*(w*w\/(w**24*w*w))\/w))*w)\/w)\/(w*w**(3\/2)) assuming w is positive.\nAnswer: w**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23330988826759 less than 0.15?\nAnswer: -23330988826758.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17121 less than 17591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(76)\/sqrt(4) + -2 + ((sqrt(209)*2)\/sqrt(11) - (sqrt(19) + 1)*-6).\nAnswer: 4 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -12*v + 116116. Suppose 4*o - 8 - 42 = q, 2*q + 45 = -3*o. Is (-4)\/q - v\/(-195) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 1. What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c + 35*c + 173 = 1811. What is the highest common factor of c and 4734?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4866*v - 4862*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927909 is divided by 17077.\nAnswer: 5751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-18)))*y\/((y**10\/y)\/y*y))**27)**(-1\/5) assuming y is positive.\nAnswer: y**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124016 divided by -124016.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2) + 16 + -3. Suppose -14*p - 8 = -i*p. Let c be (-3)\/(-1)*(p + 1). Sort 5, 2, c in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 179, 244, 309, 374, 439, 504?\n\"Answer: 65*w + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c, -9*c + 48 = 32*k - 5*c - 48 - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 47*d - 2868. Let j be n(62). Solve 0 = 2*x + 44*t - j*t, t + 8 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.974 + -3.274. Which is the closest to -0.11? (a) m (b) 2\/21 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 26. Let o be h(-6). Suppose -b + 78 = o*u + b, 3*u - 56 = -b. What is the remainder when 49 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 - 36*g**2 - 180*g - 252.\nAnswer: -4*(g + 3)**2*(g + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {i: 7, h: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -21*c - 16626. Suppose 491 = -6*m + c. Suppose -6*n - m = -8*n. What are the prime factors of n?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1628, -1633, -1638?\nAnswer: -1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*m + 47 - 171, 8*g = 50*g + 17*g - 5*m + 1883 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 345729114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/764997 and 22?\nAnswer: 764997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*q + 3 = 1340*q + 55 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240833 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3328863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:23 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*4*-2 + sqrt(68)*-1*3)\/(-5*(sqrt(400)*1*5 - sqrt(400))).\nAnswer: 11*sqrt(17)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 + 81. Suppose -28*f = -37*f - 153. Let y = f - z. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -40*f - 27. Determine p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 7. Let c(g) = -8*g. What is d(c(q))?\nAnswer: -64*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uajj when four letters picked without replacement from kbuuajxauxau?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 17, 2 in decreasing order.\nAnswer: 17, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f + 64 - 94 + 15*f - 21*f. Determine w(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*-1*32\/7744*22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137312*t**3 - 127780*t wrt t.\nAnswer: 823872*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 7*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a decade in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*x - 5. Let g = x + 6. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/1*(-9)\/54.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*o**2 + 16 - 16)*(62*o**2 + 2*o + 4362 - 4362) as t + i*o**2 + l*o**4 + j*o**3 + y*o and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 1. Let j(c) = 2*c - 1. Let n(h) = h + 3. Let i be n(-6). Let s(w) = 5*w - 2. Let b = 12 - 7. Let l(t) = b*j(t) + i*s(t). Give -3*l(z) - 4*o(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1675 rounded to three dps?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3162812?\nAnswer: 2, 790703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oos when three letters picked without replacement from loollsosoosslloo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {w: 1, l: 1, e: 3, i: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2319*m**2 + 704*m**2 + 2149*m**2.\nAnswer: 5172*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3662335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-6)\/(-4))*-2. Let j = -68001\/8 - -8488. What is the common denominator of j and ((-71)\/(-3))\/m + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 2. Let n be p(1). Which is bigger: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04272 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -865281296162 take away -364?\nAnswer: -865281295798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152.92 + 153. Let g = 27.08 - 30. Let n = g - k. Which is the third biggest value? (a) n (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, -4, -0.1 in decreasing order.\nAnswer: -0.1, -0.18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 40 = -0*v. Let w = -4 + v. Let i(q) = -w*q - 2*q + 5*q. Let b(x) = 2*x**2. Give i(b(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 46. Let n be j(0). Suppose 2*r + 2*k = n, -4*r - 4*k = r - 118. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5\/7 + 53400*j**4\/7 - 30510*j**3 + 320340*j**2\/7 - 213555*j\/7 + 53388\/7 = 0. What is j?\nAnswer: 1, 17796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 206 = -5*l, 0*l = 4*l - 2*g - 156. Suppose 100 - l = 6*v. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 31 = -63 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-2)\/1827*3.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 26*z**2 - 120*z + 73. Calculate b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 37*j**2 + 307*j - 12. What is z(-23)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -5 (c) -2\/5 (d) -0.3 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/10*4\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c96e (base 16) to base 7.\nAnswer: 303224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let u(b) = -6*b**2 + 17*b - 7. Let j(t) = 6*a(t) + u(t). What is j(4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 73. Let o be d(0). Let f = -104 - -62. Let q = f + o. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -213.37868 and -5227203.\nAnswer: -5227416.37868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-410)\/(-123))\/2 + 18\/6 - -6.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-21)*o)\/(o**(3\/11)\/o))**17 assuming o is positive.\nAnswer: o**(-3604\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(1\/10)*b**(-5\/6)*b*(b**(-2\/13))**41 assuming b is positive.\nAnswer: b**(-983\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*q - 308*q - 302*q - 312*q + 1229*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417592 is divided by 900.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/771319 and 13\/5.\nAnswer: 3856595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*k + 103840889 = 103836633 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maa when three letters picked without replacement from {a: 1, l: 2, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 165312*i + 2149051. Give d(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285\/(-2850))\/(2\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 12, -400 in increasing order.\nAnswer: -400, -4, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:57 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let b(u) = 438759*u. What is b(x(v))?\nAnswer: 877518*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.104 - 5.796. Let b = -11.99 - -2.09. Let l = b - h. Put 2, 1\/2, l in increasing order.\nAnswer: l, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21688373045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.2 - 38. Let t = 26988.2021 - 26991. Let h = t - v. What is h rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.4 - -1.5.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13028*g - 1 + 3 - 13010*g - 3. Let x(t) = -27*t + 1. Determine -7*c(n) - 5*x(n).\nAnswer: 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 913a4 (base 11) to base 8\nAnswer: 404711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + 275. Let r = z + -323. Solve -6 = -4*v + r*s + 14, -3*s + 5 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -77 + 5. Calculate the common denominator of 15\/16 and (-137)\/30 + (-2)\/b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 4*c + c)*(2 + 1 - 4) + 0*c - 2*c - 2*c)*(c + 2 - 2).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 10:34 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - -4*(sqrt(128) + 1 + sqrt(128)))*-5 - (2*(0 + sqrt(128) + sqrt(128)) + 0))**2*-1.\nAnswer: -307728 - 15680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-96)*(-30)\/28?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 12 + 3*-1. Put 0.5, a, 3 in increasing order.\nAnswer: 0.5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46635?\nAnswer: 3, 5, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 + 28*d**2 + 5*d**3 - 12*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 + 0)*(g + g - 4*g) - 10*g - 28*g - 32*g)*(4*g - g - g + (2 - 2 + g)*(3 - 2 + 0)).\nAnswer: -234*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -765 or 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:30 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2647*x - 58396. What is b(22)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**34\/(g*g**(9\/10)*g))\/(g*g\/(((g*(g**9*g)\/g*g*g)\/g)\/g)*g*g**(-23)) assuming g is positive.\nAnswer: g**(611\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*x, -4*s - 4*x + 8 = -2*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 2*d**3\/3 - 18. Let x be (-3)\/(-1) - (2 + -2). Let t(m) = 4*m + 4*m - x*m. Determine t(a(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 + 166. Calculate the remainder when 70 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -0.9 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = 6, 17 = 4*o + g. Let a(m) = m - 2. Let t be a(o). Find the second derivative of -4*v**3 - 5*v - 3*v**2 + t*v**2 wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 19 - (5 - 3)) + 19 + 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 2. Suppose -2*v = -0*v + 8. Let c = -1 - v. Calculate the least common multiple of c and h(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 13. Suppose 3*y - 81 = -2*n + 97, -305 = -x*y - 5*n. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -6\/5*n**4 + 0 + 2\/5*n**3 + 2\/5*n + 6\/5*n**2 - 4\/5*n**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 9*l**2 + 2. Suppose 27 = 3*s - m, 0*s - s = m - 9. Let v be y(s). Suppose -v*a = -7*a. Solve -2*r - u - 3 + 6 = a, 3*r + 2*u = 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 710 and 643402.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 53, -1, 5, -5 in increasing order.\nAnswer: -5, -1, 2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 minutes before 12:54 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 94, 151, 208, 265, 322?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -54 - 82. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.056+48908.686918\nAnswer: 48908.630918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 c, and 1 f when four letters picked without replacement from {v: 2, n: 1, c: 2, f: 2, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 793919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223320023 - 11?\nAnswer: 223320012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22.3662 times -4\nAnswer: -89.4648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k. Suppose 5*z + 2*m = -23, 3*z = 3*m + 5 - 2. Let y(t) = -8*t**2 - 6. Let c(q) = 6*q**2 + 4. Let n(j) = z*c(j) - 2*y(j). Calculate r(n(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(99) + -1 + (sqrt(99) - (sqrt(99) + 1 + -2)) + sqrt(99).\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 2*l**4 - 2 - 2*l + 2*l**2 - l to the form v*l**2 + i*l**3 + b + r*l + f*l**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 264555224795 - 0.485?\nAnswer: 264555224794.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80)*2 + -2)**2 - (0 + (-3 + sqrt(5)*2 + sqrt(5) + -1)**2).\nAnswer: 40*sqrt(5) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 2*o**2 - 6*o + o**3 + 2*o**2. Let m(x) = x**3 + 5*x**2 - 5*x. Let k = 163 + -163. Suppose 27*l - 20*l - 42 = k. Determine l*m(b) - 5*c(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18069, 16736, 15391, 14028, 12641?\nAnswer: 11224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxnxnpxjnx. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 36*z - 32*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 109 = -96. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - (2 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)\/((y*y*y*y**(-4\/7)*y)\/y)*(y**2)**(6\/7))**25 assuming y is positive.\nAnswer: y**(-1075\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + -110?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 1:03 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from muuusgv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 59?\nAnswer: 18\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47687 is divided by 298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3393313 divided by -3817.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22 + 4*y - 5*y + 6. Let k be x(-18). Let b be (4\/(-8))\/(1\/k). What is the third biggest value in b, -2\/5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 + 1. Let v be 4 + 1 + 1 + -1. Let f(x) = -3*x**2 + 1. Let j be -2 - 7\/(14\/(-20)). Suppose -l + 42 = -j*l. Calculate l*f(t) + v*z(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose -5*d + 5*h - 30 = 0, -3*h - k*h - 20 = 0. What is the units digit of (8\/10)\/((-2)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2. Suppose -i - l + 341 = 3*i, 2*i - 3*l = 167. Let o(m) = 10*m - 46 + i - 39. What is t(o(j))?\nAnswer: -200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4377.93761 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51001025 - 1?\nAnswer: -51001030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 739, 1471, 2217, 2983, 3775, 4599?\n\"Answer: k**3 + k**2 + 722*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 9*k**2 - 5*k**3 + 3*k**3 + 4*k**3 - k**3 + 6. Let o be j(-9). Let u = -15 - o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1801 and 2.\nAnswer: 3602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:15 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - n + 213 = 4*l, l + 116*n - 48 = 112*n - 3 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/(-13 - -19)*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*b - 0*b - 11, 5*b + 3*y = 9. Let o = b + -2. What is the lowest common multiple of 5 and 3\/(1\/(0 + o))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -29, -19.9 in increasing order.\nAnswer: -29, -19.9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256397 divided by -4.\nAnswer: -256397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96958*h**5 + 21*h**2 + 21*h - 2 wrt h.\nAnswer: -5817480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 910, 1815, 2720, 3625?\nAnswer: 4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (1 - 1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4067*w + 448955 - 448955)*(-1 + 1 - 3)*(4*w + w - 3*w).\nAnswer: 24402*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**3 - 24*f**3 + f - f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15296 + 15289 - (-76 - (-2 - -3 - 2))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-2514)\/854 - 0. Let h = -40987\/7686 - k. Let j = -38\/9 - h. Find the common denominator of j and 57\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4 - 154*p**2 - 4 + 153*p**2. Let g(q) = 3*q + 11. What is g(a(h))?\nAnswer: -3*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 2*p**3 - p**3 - 2*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 11 = 3. Put -1, k, -2 in ascending order.\nAnswer: k, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.19+171854602\nAnswer: 171854603.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 7*q = 3312. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 22945221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*a - 510*a = -4302*a + 101400 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 362838 divided by 978\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.3. Let c be (-2)\/(-6)*448\/112. Put c, w, -4 in decreasing order.\nAnswer: c, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**38)**(1\/87)*(a\/((a**(-38)*a)\/a))**(-2\/87))**(-5\/2) assuming a is positive.\nAnswer: a**(100\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*14\/(-1512)*-12*14\/((-28)\/(-135)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 161. Let d be o(-19). Let v = 192 + d. Calculate the lowest common multiple of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmhmmmqbm. What is prob of sequence mhm?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-4950)*-11*(-96)\/(-18))\/((-46)\/5).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3805 + 345 = 0. What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 - 3*k. Let v be l(3). Suppose 4*f + 118 - 358 = v. Suppose -3*q + 2*q = -f. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2*5 + sqrt(700) + (sqrt(700) + 0 - sqrt(700)) + 0)**2 + (sqrt(700) + -1 + sqrt(700))**2 + 3 + 5.\nAnswer: -40*sqrt(7) + 87509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.341 grams in micrograms?\nAnswer: 317341000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 45 = -5*x. Suppose -5*l + 0*t = -3*t - 41, 0 = 5*l - 5*t - 45. What is the remainder when (-2)\/(-6)*l\/((-21)\/(-153)) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l\/l**(-9))))\/(l*l\/((l\/l**3)\/l)) assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/36 - ((-980)\/(-120))\/(-49).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 6, x: 10}. What is prob of sequence gag?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*v**4*z - 5*v**4 - 9*v**3*z + 3*v**3 + 197578*v**2*z wrt v?\nAnswer: 720*v*z - 120*v - 54*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.05 (b) 2\/9 (c) 0.3 (d) 2\/19 (e) -261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -11)*88\/32 + 207\/12?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -50. Let m be (26\/(-8))\/((-4)\/16). Suppose -2*i = -4*h - 1 - m, 2*i = -h + 34. Calculate the remainder when c is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 3. Let q be j(2). Let y be 8\/(-4) - (q - 13). Solve 0 = -f - 3*f - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -d + 2*m + 1, 3*d = -4*m. Suppose 4 = -3*u + d*u. Solve 4*r - 2*r = u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8897295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -18*y - 5. Suppose 15*c = 1021 + 464. Calculate the remainder when c is divided by v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404374 divided by 124?\nAnswer: 3202187\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.8, 521172 in ascending order.\nAnswer: -1\/4, 0.8, 521172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12720355 times 0.18\nAnswer: 2289663.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 4. Suppose 2*d = -w*d + 72. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5462 - -5077.3. What is j rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 11 = 39. Suppose m + 184 = x*m + 2*y, y = 5*m - 285. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 6*q**2 - 2*q - 5. Let f be z(4). Suppose f*j - 204 = 2*j. Solve -4*o = -8 - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*v = -110, d + 48*v - 50*v + 40 = 0. Put -6, 4, d in descending order.\nAnswer: 4, -6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20 - ((-396)\/(-15))\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Suppose 42 = 5*h + 2. Let z(j) = -j + 7. Let q be z(h). Sort q, a, -5 in ascending order.\nAnswer: -5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 19 + -22 - (2 - 1 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 17*r**4\/12 + 211*r**3\/6 + 71*r**2 + 2. Calculate t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 7*i = 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-7))\/p**(-2))\/((p\/((p\/p**0)\/p))\/(((p\/(p*p**(2\/23)))\/p)\/p)))**(-19) assuming p is positive.\nAnswer: p**(-3458\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7540 divided by 290.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j**2 + j + 2. Let h be l(-3). Calculate the remainder when 19 is divided by ((-1)\/2)\/(7\/h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/4281321 and 11\/3892110?\nAnswer: 42813210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r**2 - 2*r**2 - 5*r**2)*(-1 + 1 + 1) + 3*r**2 - r**2 - r**2)*(5*r - 5*r - r + 8).\nAnswer: 7*r**3 - 56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 206 + j - 2*j + 178 - 5*j as m*j + d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-386)\/90)\/((-4)\/(-36)*6). Let h = 13\/5 + f. Calculate the common denominator of h and -77\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 686 = 126. What is the least common multiple of 50 and q\/4*(-120)\/(-210)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -34732904?\nAnswer: -34732904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-45) - (172\/(-80) + 3). What is the nearest to r in -1, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186299439?\nAnswer: 3, 3529, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 8*m**3\/3 + 203081512*m**2\/3 + 203081506*m\/3 + 50770376\/3 = 0.\nAnswer: -25385188, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -5 + 16 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*v = 35604 + 3082, -2*y - 3*v = -38691. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 + -2 - (3 - (-13 - -16))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 + 41.1. Let u = 36 - m. Which is the closest to -1\/4? (a) -0.4 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -1 - -6) + -7 + 39?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 4*s**3 + 0*s + 2*s + 1 - 3*s**3 + 0*s + s**4 as h + y*s**4 + j*s**3 + r*s + c*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26116283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 7095 and 7102 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 30*o + 147. Let p be c(-24). Suppose p*x = 2*x + 4*z + 197, 4*z = -5*x + 1009. What are the prime factors of x?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l - 20*l**2 - 24 - 4*l**3 + 13 + 0*l**3 - 21*l. Let a(p) = -4*p**3 - 20*p**2 - 32*p - 12. Let b(s) = -5*a(s) + 4*z(s). Factor b(g).\nAnswer: 4*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5\/8 - 3*v**4\/2 + 9*v**3\/8 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -34.9774. What is x rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -9 + 4 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 - 13 + 122*d**2 - 6*d**2 - 8 - 15*d**2 wrt d.\nAnswer: 202*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -15*g + 47 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9520*v**3 + 13239*v?\nAnswer: -57120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 8*w - u = -19, 0 = -5*w - 3*u + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*-1*1. Let n(x) be the third derivative of -x**5\/20 + x**3\/6 + 5*x**2. What is n(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 93 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105096 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bab + 5?\nAnswer: bb3","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: Calculate prob of sequence dr when two letters picked without replacement from {d: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/7 (b) 2\/3 (c) 4 (d) 65 (e) -10 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((-30)\/(-24))\/5*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*g + 7, -4*g - 34021*d + 34016*d = -2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {h: 7, s: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/((h**(-3)*h)\/h))\/h)**(-19\/5)\/(h**(-2)\/h)**(-1\/54))**(1\/2) assuming h is positive.\nAnswer: h**(-1373\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0*c**6 - 5 - 5\/7*c**7 + 57\/8*c**4 - 9*c**2 + 0*c**5 + 0*c + 0*c**3. Find the second derivative of j(g) wrt g.\nAnswer: -1800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9616 - 669*t**2 - 3*t + 671*t**2 - 9595. Calculate s(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 2. Let w be a(6). Calculate the lowest common multiple of (w\/10)\/((-4)\/(-30)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:03 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-5) + 60\/75. Solve 2*r = 4*r - 4*k - 12, -c*k - 15 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -2*d - 17*v, 0 = 2*d + 3*v. Let z = -6 + 19. Let x = 0 + z. Which is the smallest value? (a) -0.5 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -10\/9, 2, 8, 0.441, 4\/9?\nAnswer: 0.441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/2)\/(4\/24). Suppose 1 = 3*c - 4*z, 2*z - z = 5*c - 13. What is the highest common divisor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10438*m + 0 + 1.\nAnswer: -10438*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -137\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3162*h - 164441. Determine x(-52).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*t**3 - 569700*d**3*t**2 + 11*d**3*t - 2*d**2*t**3 - 69995*t**3 wrt t?\nAnswer: 6*d**3 - 12*d**2 - 419970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(-2*sqrt(6)))\/(-6*sqrt(6)\/sqrt(3))*-4)**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 0, 2*v - 734 = -5*j + 5*v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*p**2 + 2*a*p*w**2 - 105*a*w - 2*a - 157*p**2*w**2 + p*w + 3*p wrt p.\nAnswer: -4*a - 314*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11330032033 (base 4) to base 13\nAnswer: -426b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-14))\/(1\/(-4)). Find the common denominator of z\/(-1 + (-945)\/55) and -143\/18.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)\/u)**39*u**5*u**(-1\/3))\/(u**(3\/2)\/(u**4\/u)*(u\/u**(-5))\/u**2) assuming u is positive.\nAnswer: u**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6088\/1331 smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1655779*o**2 + 952*o - 110.\nAnswer: 3311558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21669 + 21948. Calculate the highest common factor of c and 31527.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from nbbwwnwkdbn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from ewlgwwqvwwwweww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17*l + 11. Let y(j) = 21*j - 14. Let f(w) = 5*i(w) + 4*y(w). Let c(o) = 9. Calculate -c(n) - 2*f(n).\nAnswer: 2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 212*h**2 - 160*h + 59942. Calculate k(104).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 - 3*f**2 - 2*f**3 - 2*f**4 - 9*f**2 + 9*f**4 to c*f**3 + w + x*f**4 + t*f**2 + r*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 29*v**6\/360 - v**4\/24 - v**3 - 7*v**2. Let f(m) be the first derivative of u(m). Is f(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlllprlf. What is prob of picking 1 p and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-1 - 6*v + 4 + 7*v - 2*v**2).\nAnswer: 4*v**2 - 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 4*h - 7. Calculate n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q. Let d be h(-5). Let w be 1\/d - (-894)\/(-30). What is the tens digit of 10\/w + (-34)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, j: 2, p: 3}. Give prob of sequence pjp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/7 + 2\/(-7). Suppose 0*s = 5*s - 2*t - 23, -2*t - 14 = -2*s. Is (9\/y)\/(s\/4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 14*n. Let w be 8\/(-7)*14\/(-4). Solve 4*l + n = -5*v + 3, -4*l - 4*v + w = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - ((sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 1) - sqrt(2057))*3 - sqrt(2057)) + sqrt(2057))**2) + -4 + sqrt(68) + 3.\nAnswer: -8238 - 119*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*n**3 + 3*l**3*n**2 - 2710*l**2*n**5 - 76*n wrt n.\nAnswer: -12*l**3 - 162600*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83934770 is divided by 2277.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/14157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**9\/37800 + v**8\/8400 + v**7\/6300 - v**6\/900 - v**4\/6 + 5*v**2. Let r(k) be the second derivative of a(k). Factor r(d).\nAnswer: -2*d*(d - 2)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47782230*w**4 + 102*w**2 - 977*w - 7 wrt w?\nAnswer: -1146773520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5 = 4*s, -5 = -2*s - 2*i - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228315*f - 228321*f - 216 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 101. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -7*q + 1\/14*q**7 + 9\/2*q**3 + 21\/10*q**5 + 3*q**2 + 4*q**4 + 0 + 3\/5*q**6. Solve m(h) = 0 for h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 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: Expand b**4 + 0*b + 0*b + (3*b - 2*b**2 - 3*b)*(-2 + b**2 + 2) - 4*b**4 + 9*b**4 - 2*b**4 + (2*b**4 + 0*b**4 - b**4)*(4 - 2 - 1).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 3:50 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:56 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 31*o - 25*b + 29*b, -5*o + 2*b + 29 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*j = -53*j - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2406, -3038, -4092, -5568, -7466, -9786, -12528?\n\"Answer: -211*l**2 + l - 2196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*t + 4941, 15*t + 4*w + w = 14755. Calculate the remainder when t is divided by 111.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**1)**17\/(n**(-2\/5)*n*n**(-3))*((n**0)**(2\/3))**11 assuming n is positive.\nAnswer: n**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*w + 1, 0*r + w = -3*r + 3. Let d = -5690 + 5695. Suppose s = -2*x + 9, -r = -d*s + 2*x + 8. What is the highest common factor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:32 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*l**3 - 90 + 20 - 64*l**3 to the form r + k*l**2 + s*l + i*l**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y + 4683908 = 149*y - 368616. What are the prime factors of y?\nAnswer: 2, 79, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/7 (c) -0.5 (d) 63 (e) -53.2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-611820)\/88374)\/((-18)\/104)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 58563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*10\/((-10)\/(-5)). Solve 2*n = t*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176791 is divided by 1733?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -168. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14499 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 22*q + 206. Calculate the smallest common multiple of i(17) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - l + 11 - 126, 5*d + 4*l - 268 = 0. Calculate the highest common divisor of 952 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 34*o**2 + 2*o**2 + 20*o**2 + 5*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwkw. What is prob of sequence kk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 23 = -j, -2*y + 3*y = 2*j - 2. Suppose 2*l - 2*c = 6, 5 = -2*l - 2*c + 11. Suppose 0 = k - 3*u + 9, 0*k - l*u + 9 = -y*k. Solve k = x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 30*k - 8016. Let r = 331 - k. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3158*d*o**2 - o**2 - 183*o with respect to d.\nAnswer: -3158*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13566 and 22666.\nAnswer: 21963354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 7*h**4\/24 - h**3 + 49*h**2. Let g(b) = -b + 1. Calculate 39*g(c) + 6*y(c).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8303*m**3 - 294 - 349 - 703*m + 645 - 3*m**2 wrt m.\nAnswer: -49818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 2*t**2 - 2*t - 1. Let y be x(-1). Suppose -y*g + 7 = 5*w - 2*w, 35 = 3*w - 5*g. Which is the smallest value? (a) 1 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - -2) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000288773 rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2145 (base 12) to base 9.\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 - m + 8. Suppose -69*k - 222 = -32*k. Let s(t) = -t**2 + 1. Calculate k*s(a) + l(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 10*v = -84 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52113557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -692*x + 15355 - 15355 - 1904*x**4 wrt x?\nAnswer: -22848*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926 > 5928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (8 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 150786191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4288800\/(-4200))\/(4\/(-70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.396 * -1311.\nAnswer: -519.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(180) - sqrt(20)))\/(5*(sqrt(18) - sqrt(72))\/sqrt(2)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d**2 + 17*d**2 + 2*d**2)*(1 - 1 + 16)*(-2*d**2 + 2*d**2 - d**2) as t*d**3 + g*d**2 + f*d**4 + j + p*d and give f.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23636*a**3 - 754 - 7883*a**3 - 7881*a**3 - 7874*a**3.\nAnswer: -2*a**3 - 754","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10574165081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 6}. What is prob of picking 2 r and 1 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4 - 464*a**3 + 1352*a**2 + 464*a - 1356 = 0.\nAnswer: -1, 1, 3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**2 + 2 - 5*b**2 + 1099*b - 1098*b. What is y(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18689 - -31681. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19530816 rounded to 4 dps?\nAnswer: 0.1953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26185044 (base 9) in base 6?\nAnswer: -1135502234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 13. Suppose -j*s - 11 = -15. Solve 5*y - 19 = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r. Let q be t(2). Suppose -3*y - 2*y = -10. What is the highest common factor of q and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:27 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*s - 47 = 0, -4*z + 19 = -9*z + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02080311 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 410408182.\nAnswer: -410408182.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -965, -1145, -1325, -1505, -1685, -1865?\n\"Answer: -180*t - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -27 (b) 2 (c) -1\/5527 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 - 66544b?\nAnswer: -665409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/17223 (b) -1\/4 (c) 27\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.4982 + -1.5238. Let k = -17 - d. Let f = k + 0.978. What is the biggest value in 1\/2, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27.92? (a) -0.12 (b) -5.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14419 and -14.554?\nAnswer: -209854.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 42 + -22 - 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 + 4*s + 5. Let m be r(-5). Let t = 2577 + -2569. Let l = m - t. Solve -l*a - a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122067.\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to -470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -425 + 25076\/59. Let p = 29178.1 - 29178. What is the smallest value in p, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16*o**2 - 47938 + 47938. Let p(t) be the third derivative of -11*t**4\/24 - 31*t**2. Determine p(y(j)).\nAnswer: -176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 11159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i - h, 23*i - h + 5 = 24*i. Let y(s) be the second derivative of -2*s + 1\/7*s**2 + i*s**3 + 0*s**5 + 1\/105*s**6 - 1\/21*s**4 + 0. Factor y(k).\nAnswer: 2*(k - 1)**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/2 - x**2\/2 + 9*x. Find the first derivative of o(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217.1 - 90.19.\nAnswer: -307.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14a238 - -17?\nAnswer: 14a250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2083590 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13*g**3 - 3*g**2 - 4*g - 13. Is i(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20867219 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 219258465 a multiple of 3537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16513073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5060 is divided by 413.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18313700 by -4.\nAnswer: -4578425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 0 = -0*n + 5*n - 10. What is the units digit of 50\/15 + n\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 435098 = -5*b - 155266, -4*h = -2*b + 111930. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, -2\/81, 40?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 - 90. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 51, 77, 121, 183, 263, 361?\n\"Answer: 9*n**2 - 19*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in -5, 1, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5721 - 6345 = -16*m. Calculate the highest common factor of m and 867.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8673 and 29559?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(68)*-4 - sqrt(68)*1*6)\/(sqrt(100)*3*-5) + 0.\nAnswer: 28*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 11. Let d be b(6). Let x be (-15 - -15)\/(4 + -1). Suppose o = -x*y + 2*y + d, 2*o - 10 = -4*y. Solve -o = 5*f - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173097370 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27186?\nAnswer: 2, 3, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:47 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1396.\nAnswer: -7\/1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 7928514?\nAnswer: 31714056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = l - 7080. What are the prime factors of l?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, c: 10}. What is prob of sequence dcdd?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7227 and -3.\nAnswer: -1.2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 0*h - 13460. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-2*(sqrt(2) + sqrt(2) + sqrt(2) + sqrt(8))) - (2 + sqrt(108)*-1))**2.\nAnswer: -118*sqrt(3)\/5 + 10843\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.6020364 and -0.1.\nAnswer: -4.7020364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12513 (base 7) to base 9.\nAnswer: -4523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*x + 9, 2*x + 9 = -0*o - o. Let r = 4 + 1. Let z = o + r. Solve z = -2*a - 2*f + 3*f - 1, 4 = 4*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - (-3 - 2) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12271*z**2 - 6144*z**2 + 18408*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7294788 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 380\/561 - 2\/187. Which is the closest to -5? (a) -0.2 (b) u (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -443789*q + 2218962. Give j(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 2*j**2 - j - 1. Calculate the remainder when 29 is divided by r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 3 + 6*l**3 + 3 - l**3 in the form z + d*l**3 + a*l**2 + y*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, b: 1, k: 2, y: 1, s: 1}. What is prob of sequence by?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24*o - 3. Let h(a) = -47*a - 5. Let r(l) = -11*c(l) + 6*h(l). List the prime factors of r(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 25. Let a = -18 + 11. Let j = 33 + a. Calculate the remainder when j is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 equal to 110.132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 14*a + 12*a = -7, -c - 5*a - 23 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -557\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-1))\/((-6)\/(-18)). Suppose t = -c - 5*k, -k = -c - 0 + 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 + k - 1. Let l be d(-5). Let g be (-16)\/(-10) + l\/(-15). Suppose -3*y + 60 = a, -g*y + 26 = 5*a - 14. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (0 - 9 - -37)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58775 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 78624\/17 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*2)\/((-5)\/20). Suppose m*v = 3*v + 3*d + 134, -d + 58 = 2*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3410585 by 2.\nAnswer: -3410585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = -6*f. Suppose 5*u + 2*h + 200 = 0, 2*u - u + f*h + 40 = 0. Let m be (-16)\/u + (-7)\/5. Sort m, -3, 1 in descending order.\nAnswer: 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5, 2*k - 5*c + 3*c = 68. Suppose w - 4*w = 105. Let z = w + k. Sort -3, -2, z, -1 in descending order.\nAnswer: z, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f, 3*g - 3*f - 56 = f. Is g at most as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 46 = -3*i, 3*i = -2*f + 48 - 17 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/11, 2\/12777, -2165?\nAnswer: 2\/12777","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079468 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: Are -540\/21527 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**3\/3 + k**2 - 4*k + 2. Factor l(s).\nAnswer: 2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 5*o + 139. What is d(9)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 35 = -3*v, -6 = -0*v + 2*v + i. Suppose 3*a + 18 = 2*s + 5*a, -4*a + 41 = 5*s. Put v, s, 4 in decreasing order.\nAnswer: s, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 33*y + 392. Give o(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -472. Does 46 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -10964.9\nAnswer: -317982.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335875 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3095\/5192 - -45\/88. Let j = 3300171\/1229560 + 3\/4168. Let m = u + j. Which is greater: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5651520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 7:59 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*22\/(-396) - 350\/20601*6?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 40328681 = 6079067. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119440 by 2986.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let g = 2 - y. Let f = -11 + 10.9. Which is the nearest to f? (a) g (b) 0 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 47*g**2 - 56*g - 171. Calculate z(-46).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((4 + sqrt(1300))*-3 + 1 + -5 + sqrt(1300)*4 + sqrt(1300) + 2))**2.\nAnswer: -1165536 + 120960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 d when three letters picked without replacement from {d: 3, l: 1, v: 4, k: 1, z: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15925*s**3 - 3*s**2 + s - 1. Let m be b(3). What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 313 and 111284333?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 28*l + 126. Let m be x(-6). Let p be (2\/(-3))\/((-7)\/m) - -3. Is p at least -4\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -416*m + 31138. Determine o(75).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1. Let r be b(-5). Suppose 6*g - 21 = 2*g + 5*n, 12 = r*g + 4*n. Suppose g*z - 3*y = -5*y + 62, 4*z = 2*y + 58. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 543, 9, 14, -5, -1, -49 in ascending order.\nAnswer: -49, -5, -1, 9, 14, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - 232. Let n = x - -2205. Let k = -1333 + n. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27612, 27631, 27678, 27765, 27904, 28107, 28386?\nAnswer: 28753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -76. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1619688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169801\/(-1662) - ((-14)\/35)\/((-84)\/385)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*q - 9, -q = q + 4. What is the common denominator of 388\/(-36) - (-4)\/4*3 and (0 + c)\/(-4 - 1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*o + 138, -5*o + i + 4*i + 390 = 0. What is the remainder when (2\/5)\/(1\/o) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 18. Let q be v(11). Suppose 12 = 9*m - q. Solve -k + 0*k + l - 1 = 0, -m*l + 9 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:11 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 17*f + 19. What is d(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222022 (base 3) to base 13.\nAnswer: 141b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -112012102?\nAnswer: 112012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 66. Differentiate j - 2*y + 187 + 55*y**3 + 0*y - 42*y**3 with respect to y.\nAnswer: 39*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131446 by -1.\nAnswer: -131446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2125*u**2 + 1091*u**2 + 1085*u**2.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -137972191817 minus 0.025?\nAnswer: -137972191817.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32, -10, -52?\n\"Answer: -42*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6772022?\nAnswer: 2, 29, 53, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 7*w**2 + 6*w - 17. Calculate a(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68514, 137027, 205538, 274047, 342554, 411059?\n\"Answer: -w**2 + 68516*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/157 + 21004\/33755. Let u = o + 6\/43. What is the closest to -0.2 in -4, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and 45.45.\nAnswer: 34.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5646*r + 13319. Determine a(-3).\nAnswer: -3619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1943*x + 5830. Give l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44.38135 years?\nAnswer: 532.5762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25124035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4975 + -4975. Sort -10, d, 25, -3 in descending order.\nAnswer: 25, d, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 725579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2\/2 + k + 1. Let i be 3\/(-12) - 27\/36. Let y(q) = -4*q - 4. Give i*y(l) - 3*n(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let b be s(4). Suppose b*l + 0 = 2*f - 14, 4*l = 4*f - 28. What is the greatest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-18) + (0 - 1). Let d = -28\/19 + 1946\/57. Let k = -33 + d. Are b and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -o + a, a - 2*a = o - 48. Let v = o - 51. Suppose 5*d + 3 + 12 = v, 4*l = 5*d + 111. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0 + c + 0 + 4 + 7 + 6*c. Determine k(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + l - 94*l**2 - 103*l**2 + 127*l**2.\nAnswer: -70*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 7 = 7*d - 37. Factor 76\/13*h - 18\/13*h**d - 16\/13.\nAnswer: -2*(h - 4)*(9*h - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 178*r + 2103. What is the thousands digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2725 by 545.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49 - ((-10)\/(-5) + -2). Let c = k + -47. Suppose 0 = -5*i - 3*z - z + 301, c*i - 118 = -z. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 32 = -10*f. Does 15 divide (61 + 4)\/((f\/(-12))\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = 2*i. Let k be (-44)\/99 + (-92)\/36. What is the nearest to -6 in k, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107404, -107406, -107408, -107410, -107412?\nAnswer: -107414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 241519460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -26*9\/24*44\/(-33). Solve -i = 25*g + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*o + 9 = 0, -5*c + 3*o + o = 12. Suppose -14*l + 275 = 41*l. Solve 4*z = -x + l*x, c = 4*x + 5*z - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318286841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 4, h: 2, p: 8, i: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493850?\nAnswer: 2, 5, 7, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 - 8*v + 6. Let w(t) = -t**3 + 2*t**2 + 46. Let h be w(0). Let k = h - 47. Let l = -8 + k. What is g(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 10482*q + 10473*q = 30, 2*w - 3*q - 11 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34914 = -b + 2535*j - 2539*j, 2*b - 2*j = 69758. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 83*x - 8455. Calculate a(102).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776063511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-27)\/(-24))*6. Let o = -375.843 - -376. Let a = -1.157 + o. What is the closest to a in 0.4, -5, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t. Let i(n) be the third derivative of -n**5\/60 - n**4\/3 - 4*n**3\/3 + n**2. Let f be i(-7). Calculate c(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1, -0.53?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5560, -11114, -16668?\n\"Answer: -5554*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -269\/514 + 6\/257. Let h = 262 - 257. Which is the nearest to h? (a) 5 (b) 0.3 (c) s (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*o = 40, -3*o + 2*o = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-52)\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/9, 2\/9, -6 in decreasing order.\nAnswer: 2\/9, -1\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42305, 84529, 126753?\nAnswer: 168977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhmddhvggdmvvhdpdh. Give prob of picking 1 d and 1 m.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 878*a - 192721.\nAnswer: -(a + 439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/16*-1604 + -3 is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -25\/5373086 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*w + 2*w. Suppose 5*a - w*a + 3*g = 4, 3*g = 4*a + 29. Does 11 divide (-2)\/a + 108\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 167?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2 - (-390)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*a = 3*d - 3, -4*a - 187*d = -186*d + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1884*h + 1949*h - 2369*h.\nAnswer: 1464*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {b: 1, r: 2, x: 1, h: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**(-38) assuming f is positive.\nAnswer: f**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 32321\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*d + 8*d. Let s(k) = k**2 - 10*k - 332. What is the remainder when s(-15) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 6*p - 3. Suppose -16*j - 6 + 70 = 0. Give z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/646 - (228\/(-3040))\/((-204)\/(-490))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7. Let z be d(0). What is the remainder when ((-26)\/8)\/(z\/140) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 + -0.7. Let i = 7.7 + k. Let r = i - -0.2. What is the closest to r in 5, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1113, 1112, 1111, 1110, 1109, 1108?\n\"Answer: -r + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/7)*i))\/i**(3\/8)*(i\/(i**1\/i))**50)\/(i**(-8)*i*i**(-3)*i)**(-1\/24) assuming i is positive.\nAnswer: i**(1371\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Suppose 0 = -5*t - c + 1, -n*c - c = -2*t - 4. Suppose t = 4*q - 7*q. Which is smaller: q or -2\/185?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 10214.\nAnswer: 2042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238931537 rounded to 3 dps?\nAnswer: 0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -2 (b) 4 (c) -0.0221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/7, 0.5, -2.282, 5\/2 in ascending order.\nAnswer: -2.282, 2\/7, 0.4, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -48*f - 175. Give k(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/8*16\/10. Suppose -2*h + 7 = 3*h - 4*n, 0 = k*h - 3*n - 6. Solve 1\/3*p**4 + 0*p - 1\/3*p**5 + 1\/3*p**h - 1\/3*p**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 212279 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415663?\nAnswer: 499, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - b**2 + 13 + 0*b**2 to the form o*b + p + i*b**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 924 * -1281\nAnswer: -1183644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22230*m - 56530?\nAnswer: 22230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -5*m**2\/2 + 8*m - 2. Suppose -26*f + 7 = -27*f. Is 25 a factor of h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7164948 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*d, -12*c = -7*c + 2*d + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1702*d + 23203 + 58493 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Calculate the smallest common multiple of 18 and 5 + -3*(q + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63150 divided by 2.\nAnswer: -31575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**2 + 11*l + 1. Is n(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*w = -62, 4*o + 0*w + 188 = 5*w. Let u be (-12)\/6 - (-4)\/o*-22. Let r = -1 + -4. Sort -0.1, u, r in decreasing order.\nAnswer: u, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107259 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -4. Suppose -3*n = 2*m - 19, 4*n - 2*m = n + 23. What is the remainder when j\/2*80\/(-12) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2010 is divided by 644?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3)\/(1\/5). Suppose -l*f + 100 = -f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -151707*u + 1061910. What is c(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18379, -73466, -165267, -293782?\n\"Answer: -18357*s**2 - 16*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.4, -2, -0.6, -1\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 311, -1.1, 0.2, 2, -0.09, -0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from plaaalpaaaalpl.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 47 + 3*m**3 + 0*m**3 + 2*m**2 + m**3 - 47 = 0. What is m?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + w + 10 - 1 = 0, 15 = 5*h + 5*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-17*c + 16*c - 22*c) + (3 - 4 - 3)*(-2*c + 2 - 2).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 26*v**2 + 2*v + 22. Let n be k(-9). Let p = n + 77. Which is greater: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*x**3 - 3*x - 35*x**3 + 14*x**2 + 3*x to z*x**2 + v*x + l*x**3 + h and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 9*y. Let k = 4 + y. What is the remainder when 13 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10029?\nAnswer: 20058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1.4583.\nAnswer: 1.4583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + 0 + 2 - (2*sqrt(1100) + -5))**2 + (sqrt(1100) - (-1 + sqrt(1100))) + -3 + -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/70)\/(2\/25). Suppose 2*h - 21 = 3*s - t, 4*h + s - 1 = 0. Let o(f) = -8*f. Give o(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x + 4*x + 3*x. Let d(m) = 10*m. Determine o(d(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 5*w + 81 + w**2 - 38 - 40. Suppose -j = -0 + 2. Determine n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23225 = 51*c - 1087 - 152046. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -538 (c) 34744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 234 - 79 + 0*g - 63.\nAnswer: -g - 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 12\/245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124 - -4?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-31 + -6 + 6 + -9 + 10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*1*-5 + sqrt(72) - sqrt(72))\/(1*sqrt(36)))**2 + 1)*2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 259146 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1335.52 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -885140244 divided by 2556\nAnswer: -346299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -3*l**5\/35 - 3*l**4\/14 - l**3\/7 + 2. Factor o(c).\nAnswer: -3*c**2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) -3 (c) -2\/5 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3. Let i be c(-3). Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*5 + sqrt(7) + sqrt(7))*6 - (5 + 6*sqrt(63)).\nAnswer: -5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/4 - 5*j**3\/3 + j**2\/2 + 7*j + 3. What are the prime factors of d(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108728 + -538083\/5. Let u = t + -1102. Find the common denominator of -125\/6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2150)\/(-2100) + 21\/(-18)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2) + (-1)\/(-2). Suppose -87 = -3*x - x - l*q, -5*q = 15. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3986383350?\nAnswer: 2, 3, 5, 19, 1398731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29118 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 8:46 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9 - 82 - 2*q.\nAnswer: -2*q - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) - (sqrt(343) + -2 + sqrt(343) + sqrt(343) + -1) - sqrt(343))) + 4)**2.\nAnswer: 56*sqrt(7) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1491?\nAnswer: -1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/3 + 28*c**2 + 17*c. Let f be u(0). What is the greatest common divisor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, -0.4, 2, -35, 8734?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -1) + (4 - 2))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:27 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -28.1194?\nAnswer: 140.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.088, 0, 8, 22?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*v, -2*h = -3*h - 5*v + 4. Is 4 a factor of (7 + -6)\/(h\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l + l + (11 - 17*l - 11)*(1 - 2 - 3))*(640*l - 640*l + 26*l**3).\nAnswer: 1846*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/693633 and 10\/7353?\nAnswer: 2080899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28901 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -6 + -10 + -12 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.039 - -0.439. Let v = -0.07 + -0.23. What is the biggest value in b, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4774ca + 5?\nAnswer: -4774c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -504 - -506. Let l(r) be the first derivative of 0*r**3 + 2\/3*r**i - 1\/15*r**5 + 0*r - 3 - 1\/4*r**4. Solve l(f) = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -7. What is the greatest common divisor of s and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 16*g + 9*g + 0 + 4 - 5 + 4*g**2. What is i(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293592 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:18 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93634739 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 22 + 4 = 0. Suppose w + 0*w = o. Let d(v) = v**2 - 1. Let j be (1 - 2)\/(2\/(-12)*2). Let r(h) = -h**3 - 2*h**2 + 2. Give j*r(n) + w*d(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 23990, 92, -0.45, 0 in increasing order.\nAnswer: -0.45, 0, 92, 23990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/545 and 60\/15301.\nAnswer: 8339045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -4435913?\nAnswer: -4435910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 180 = -307 + 175, 181 = 5*u + 13*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47\/904 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 66.\nAnswer: 85\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98)*-2 - sqrt(98))\/sqrt(7))\/sqrt(2))**2 + (((sqrt(98) - (sqrt(98) - -2*sqrt(98)))\/sqrt(7))\/sqrt(2))**2 + -3.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*5\/((-150)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 + 12*x + 5. Let a be m(-3). What is the lowest common multiple of 9 and (1 + a)*(-63)\/(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let x(p) = 67*p - 2. Give 2*x(i) - 2*y(i).\nAnswer: 134*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 9077563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/15 > 7.248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 522545 - 130?\nAnswer: 522415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2559*-0.431.\nAnswer: -1102.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Suppose -26 = 4*y - 5*y. Let z be (-8)\/12 - y\/6. What is m(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 15. Let t be a(7). Suppose 3*z = t*z - 240. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1490, 0.5, -5, 0.2, 5 in descending order.\nAnswer: 1490, 5, 0.5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -32*i + 11*i + 10*i + 2 + 9*i - 16. Let a(p) be the first derivative of p - 28. Give -10*a(t) - r(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 - 241. Let u = -105 + 334. Suppose 2*t = -3*s + u, 0 = 2*t + 5*s - h - 139. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 893 by -111.\nAnswer: -893\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 41. Solve 0 = 5*r - 7 - w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 407 - 637. Let h = -190 - c. What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 10*n**2 - 1. Let g be v(-10). Let i = 0.07 + 4.93. Let k = -4.98 + i. What is the closest to g in k, -2\/25, -4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1)\/((-2)\/41). Let h(u) = -c*u**2 + u + 42*u**2 - 2*u. Suppose 5*r + 12 = -8. Let x(i) = -3*i**2 + 2*i + 1. What is r*h(v) - x(v)?\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 - -200. Suppose s = 5*h - 10, h - 8 = -s - p*h. Which is the closest to -3? (a) 2\/29 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 40 = 12, -18*x + 21*x - 41 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5166.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 8*w + 15. What are the prime factors of t(8)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 142714, -5, -17, 1 in descending order.\nAnswer: 142714, 44, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/2 - 1465165*z**3\/2 - 357784990398*z**2 - 58246203819671352*z - 58245846035413536 = 0.\nAnswer: -488388, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3)\/(-15) - 78\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*l + 1. Suppose -l*m = -3*m - 2. Suppose r = -0*r, m*q - 100 = 2*r. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuaaffdv. Give prob of sequence dtt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c*c\/(c*c*(c\/(c*c**3))\/c*c)*c*c**0\/c**(1\/5))**23 assuming c is positive.\nAnswer: c**(1127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f - 3*f + 11 - 3*f. Let h be l(-10). Let x be 0 - -1 - (-3 + h). Solve -d + x = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 143 + 44 - 110 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 176934406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = -5, 5*w = -2*c + 20. Differentiate w + 2 - 3*p - p with respect to p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 43.6. Let g = z + 7. Which is the second smallest value? (a) g (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 65.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162\/5 - 977\/30. Let d = 352\/5 - 70. Which is the third smallest value? (a) d (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o + 1)*(-o + 2*o + 0*o) - 77*o**2 - 4857*o - 756*o**2 + 4859*o.\nAnswer: -835*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 1, e: 2, x: 1, k: 2}. What is prob of sequence epxp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4248 - -2378. Let t = q - -1870.913. Let p = t - 0.96. Round p to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 21. Which is the second smallest value? (a) -0.5 (b) h (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Suppose -o*j + 8 = 23. Let r = -1748\/5 - -350. What is the closest to r in j, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-28) + 375\/7. Calculate the least common multiple of (2\/(-6))\/((-3)\/c) and ((-3)\/(-4))\/((-3)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 + 3760?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 407.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -20 (c) 1 (d) 0.35 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.33 - -34.53. Which is the nearest to -0.1? (a) 1\/20 (b) -3 (c) -0.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 155546*n + 155523. Determine c(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012.075 decades in centuries?\nAnswer: 201.2075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*i + 6, 5*v - 8*v = i - 7. Suppose -3*l + 2*b + 90 = 0, -8 = v*b - 20. Calculate the greatest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(8\/48). Let j be 102\/30 - i\/(-5). What is the nearest to 0.1 in -0.5, j, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -53.7 (b) -4\/9 (c) 0 (d) -3 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g**3 - 745*g**2 - 137*g - 4106. What is s(-93)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/228*840\/(-8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.735 + -13. Round k to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199\/3 at most 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/170)\/(1*4\/190)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(6\/(-36)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121002102 + 12?\nAnswer: -20121002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -347, -315, -261, -179, -63, 93?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 5, -4, -7, 13.\nAnswer: -7, -4, 0, 5, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7*z**2 + 0 + 2*z + 22\/7*z**3 + 4\/7*z**4.\nAnswer: 2*z*(z + 1)**2*(2*z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2269075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*w - 24, 5*o - 8*o = -2*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 402 = 234. Suppose 1308 = 15*g + d. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -950*s**2. Let a(n) = 2*n**2. What is c(a(j))?\nAnswer: -3800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 65.9. Let z = 10.8 + -10.9. Sort z, w, -3, 2\/11 in descending order.\nAnswer: w, 2\/11, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22651)\/(-14))\/((-156)\/8). Let k be -12 - ((-154320)\/(-156))\/(-10). Let h = l + k. What is the common denominator of -115\/6 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2.9. Let a = -3.9 - l. Let q = a - -7.7. Sort q, 5\/2, -3.\nAnswer: -3, q, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -753, 1, 0.2, -744?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50722, -101623, -152538, -203479, -254458?\nAnswer: -305487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10006 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-3\/10)))**34 assuming j is positive.\nAnswer: j**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10 = -0*u, -23 = -2*b - 5*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 68 (b) 1\/19 (c) 90 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 9. Let t = 6 + q. Let a = t - -6. Solve 0 = 5*v - 2*v - 3*d - a, -2*v - d = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 36 = 2*o. Suppose 0 = 5*u + 2*p - 248, 0 = -3*p + o*p - 12. Calculate the highest common factor of u and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 + -9 + 12 + 8 + -18 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101839 = 17*l - 10327. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*k*l - 93*j**2*l - 410*j*k - 2*l + 2 wrt k?\nAnswer: -2*j**2*l - 410*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at most -89\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27604 and 16892?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 22, 2, 3, -9 in descending order.\nAnswer: 22, 3, 2, -5, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 0.0287, -0.5, 4, 5.3, -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/840 + u**6\/90 + u**5\/20 - u**4\/12 + 4*u**3\/3 + 3*u**2. Let z(c) be the first derivative of d(c). Give z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 + 7*o**2 - 4*o - 2. Let t be i(6). Suppose 4*v + 436 = 2*d, -5*d + 5*v - t = -10*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100606 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(38) - -2*sqrt(38)*1 - sqrt(38)))\/(sqrt(4)\/sqrt(200) + sqrt(2)).\nAnswer: -10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 5*t**2 + (-4 + 2*t + 4)*(1 - 2*t - 1) + 102*t**2 - 51*t**2 - t**2 to o + m*t + x*t**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1495*a**3 - 53810*a**2 + 360*a.\nAnswer: -5*a*(a + 36)*(299*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(208) + sqrt(26)\/sqrt(18).\nAnswer: -2 + 13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) -2 (d) 533\/1505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 1909373680*h - 100 + 1909373672*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 7*o - 3*o. Let q = o - 23. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7435813, 7435812, 7435811, 7435810, 7435809?\nAnswer: 7435808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 426 + -7c4?\nAnswer: -39e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*20\/15)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, 1, 33, 77, 133, 201?\n\"Answer: 6*x**2 + 2*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -13. Calculate the remainder when 162\/y*4\/(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 1, 2, -1246, 4, 3 in decreasing order.\nAnswer: 17, 4, 3, 2, 1, -5, -1246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.89 and 92715924759?\nAnswer: 92715924760.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117792717 and 3087?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 + 3*a - 5. Let y be g(5). Let h = 42 + y. Factor 2\/3*m**2 - h + 4\/3*m.\nAnswer: 2*(m - 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17182 + -17187. Sort 553, 1, 5, i in descending order.\nAnswer: 553, 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/4 - 11*w**3\/3 - 11*w**2\/2 - 3*w + 19. Determine d(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/11 + 12*c**3\/11 + 42*c**2\/11 + 4*c + 15\/11.\nAnswer: -(c - 15)*(c + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -430.3980969 to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4320 by 5.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from uouqoqoouuolooqu?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.801 to the nearest integer.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) + 365\/(-220). Let g = f + 8\/33. Which is the nearest to 2? (a) 1 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 979*y + 983*y = 30, -2*w - 5*y = -26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1554)\/12*((-4428)\/287)\/(-54).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 + 3 = -3*d, k + 14 = 5*d. Let c be k\/(-6) - (-19)\/6. What is the biggest value in 1\/5, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i**2 + 2485*i - 21329850 = 0. Calculate i.\nAnswer: -1590, 2683\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 121706852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 11*a - 9 = -4*a - 2*g, 0 = -3*g. Put 0, a, -5, -1, -46 in descending order.\nAnswer: a, 0, -1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24276 or -24225?\nAnswer: -24276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/924 and -145\/336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*h + 11, -7*h = -3*h + 4. Let v(y) = -15*y**2 + c*y**2 - 4*y**2. Let b(o) = -o**2. Determine b(v(j)).\nAnswer: -289*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3822)\/(-1001))\/((4\/22)\/(903\/301))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 10}. Give prob of sequence ba.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88165889?\nAnswer: 7, 12595127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 113 = 5*p - 2*s, 5*p - 4*s = 98. Let c = -80 - -82. Calculate the least common multiple of p and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153 = -12*v + 1129 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160 + 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 8*k + 9. Suppose 14 = -0*j - 2*j. Let y be u(j). List the prime factors of (9\/6 + 1)*y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p + 341. What is r(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 15, -5*l - 11*a - 35 = -15*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219670 and 880.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6130924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t**2 + 4*t**2 + 0*t**2)*(-602*t**2 + 1333*t**2 - 641*t**2).\nAnswer: 180*t**4 - 180*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 + 0*b**2 - 6*b**3 - 3*b**2 - 3*b**3.\nAnswer: -9*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-56)\/(-392) - (-123)\/(-28) and -9\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*u**2 - 15*u**3 - 191*u**2 + 101*u**2 - 17*u**3 to the form v + t*u**2 + r*u + f*u**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -16 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2186888, -2186884, -2186880, -2186876, -2186872, -2186868?\n\"Answer: 4*j - 2186892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 13*t**2\/2 + 105*t\/4 + 225.\nAnswer: (t - 15)**2*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 4*m + 4. Let o be y(3). Let a(g) = 16*g**2 - 5*g**2 + o + 8*g - 12*g**2. Suppose -9 = 3*x - 33. Determine a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1030 + -488?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3866\/9 or 2\/815?\nAnswer: 2\/815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/1*-10. What is the third derivative of 3*v**2 + 0*v**5 + 0*v**z - 2*v**2 - 3*v**5 wrt v?\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x + 4*x, 5*x = h + 21. Put -6, h, 25 in increasing order.\nAnswer: -6, h, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4938 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18))**(4\/3)*f**(6\/7)*f*f\/f**(-1\/27) assuming f is positive.\nAnswer: f**(-3989\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 51305*o**2 - 2993110*o + 6191400 = 0. What is o?\nAnswer: -60, 2, 10319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 104. Let b(m) be the first derivative of 4\/15*m**3 - 3\/20*m**4 - 4 + j*m - 1\/10*m**2. Solve b(k) = 0 for k.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4191 + -4190. Which is smaller: v or -3\/1931?\nAnswer: -3\/1931","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-6)\/9*(-4224)\/(-190080)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-2)*(0 - -1). Let t(z) = -3*z - w - z - 2 + 6*z. Let s be t(8). Solve -2*j = -4*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 58*y - 122. Let u be s(60). Sort 70, u, -3, -4 in decreasing order.\nAnswer: 70, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 + 94*z**2 - 2013*z - 90990. What is d(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2952 and 33128.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21.5 times 1.64\nAnswer: -35.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -4, -2, -7 in descending order.\nAnswer: 8, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1360 - -1360.0000003004. What is j rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/1145 + 83741\/195795. Calculate the common denominator of -61\/152 and h.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517783 rounded to the nearest 10000?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4808 and 24040.\nAnswer: 24040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 - 3*v - 2. Let k be l(-2). Suppose 5*n - k = n. Suppose m + 3*i = 14, -3*m - 8 = -n*m - i. Solve 2*f - m = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 30 = -7*r. Let q be r\/15 + 114\/10. Solve -s - q = -3*b - 0*s, -2*b + 9 = -s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54271454 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 391608 and 5292?\nAnswer: 391608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + 2.91. Let r = 194.92 - 195. What is the smallest value in q, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12565189 - -6844329. Let r = -2620860 - v. What is r rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:29 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 104*f - 953. Does 59 divide w(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15730?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from naanaaanqna.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 24603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54728075 and 2603?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 4*s**2 - 3. Give v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.850773nm?\nAnswer: 0.006850773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/150 - 77*b**4\/2 + 2309*b**3\/15 - 27*b**2 - 14*b + 2. Factor i(d).\nAnswer: 2*(d - 2309)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 1. Let f be c(1). Suppose r - 4*z = -28, 0 = -4*r - 3*z - f*z - 49. Is -15 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -22*x + 9*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 29*q**2 - q + 4. Let f(h) = 3*h**2 - h + 1. Give -5*f(x) + j(x).\nAnswer: 14*x**2 + 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 44. Suppose l*r + 181 = 2631. Suppose w - 296 = r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4344 and 1872807?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*t, 0 = -935*p + 933*p + 4*t - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2631, 5266, 7933, 10638, 13387?\n\"Answer: o**3 + 10*o**2 + 2598*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 4*n + 3. Calculate the remainder when 75 is divided by x(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 3*s**4 - 7 + 3*s**3 - 36*s + 37*s - 8 - s**3 - s**2 in the form v*s**3 + t*s**4 + g*s + o*s**2 + u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 + 290*d**3 + 4485*d**2 + 8120*d + 3920 = 0. Calculate d.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - -10. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n - 25. What is the units digit of t(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78816.\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8418 times 9?\nAnswer: -75762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by -2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -135 (b) -13.3 (c) 0.0042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*g + 17, -7 = -v + 16*g + 13. Solve -103*k + 104*k - v*f = 8, -8 = 2*k + 4*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*y + 10, 0 = -2*h + 2*y - 14 - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/21 - -1\/3. Let w be (-1*(-4)\/(-44))\/(444\/(-1628)). Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 10:29 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/2 - 10*v**3\/3 - 4*v**2 + 2*v - 75. Let r be h(-4). Which is greater: r or -32\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/20 and -83\/186?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7345 + 7344.91. What is the nearest to 2 in 0.1, 6, x, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 18*v + 106. Calculate b(20).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119016 and 27732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/(-2)*(-24)\/(-5830). Let b = 4\/53 - m. Sort -0.2, -1\/2, b in ascending order.\nAnswer: -1\/2, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 1244. What are the prime factors of d?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69\/1784 in 2, -0.04, -29, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5029 - 2740. Does 109 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51\/4? (a) 2\/11 (b) -3\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {y: 1, g: 5, l: 3, p: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438 + 1315*t**3 - 1319 - 1011.\nAnswer: 1315*t**3 - 1892","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -8.4321 = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60734*s*y**2 - 12*s*y - 21*s + 3*y**2 + 61*y + 499686 wrt y.\nAnswer: -121468*s*y - 12*s + 6*y + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/3 + 1 + 2\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(128) + -1 + sqrt(128)).\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*h - 1127194 = -1154284 for h.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(13\/(-2) - -2). Let u be 102\/(-24) + 4 + 26\/8. Let k be (-13)\/(-11) + 4\/(-22). Solve u*r - 4*n - h = 5*r, 0 = r - 2*n + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304.37 rounded to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 49*r**3 - 17 + 6)*(-1 - 3 + 0).\nAnswer: -196*r**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*v**2 + 8991500*v + 409082783?\nAnswer: 22*v + 8991500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6764 + 265. Calculate the greatest common factor of g and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-108)*9*22\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -9*l + 24. Suppose 4*k + l = 2*k. Let b be 4 + (k + 4 - -1). Calculate the greatest common divisor of b and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from isjsjieessjis.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)*d)\/d)\/d*d*d\/(d**(-3)*d*d)*d)\/((d**(-3\/2)*d)\/(d\/(d\/(d*(d*d**(-8\/9)*d)\/d)*d)*d)) assuming d is positive.\nAnswer: d**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 7*d**6\/120 + 2021*d**5\/80 + 719*d**4\/24 - 24*d**3 - 117*d + 51. Find w, given that c(w) = 0.\nAnswer: -288, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4\/5, -1, -4\/7, 0.07?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/20)\/((-3)\/(-12)). Let q(g) = -g - g + g**2 - 1 + g. Determine q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, u: 1, t: 2, f: 8, m: 2}. Give prob of sequence ftr.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4286, 4267, 4226, 4163, 4078, 3971?\nAnswer: 3842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8858.579m to nanometers.\nAnswer: 8858579000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 9*t - 48. Let d(c) = 10*c**2 + 29*c - 143. Let u(a) = -4*d(a) + 11*n(a). Solve u(o) = 0.\nAnswer: -4, 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 124599897.\nAnswer: 124599908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 0*r + 2*r**2)*(-3*r - r + 6*r) + 691*r**3 + 4*r - 17*r - 684*r**3 to the form g*r + q*r**3 + d*r**2 + h and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 78*x**2 - 502*x + 409. Calculate n(71).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 12*m - 4. Let w be t(12). What are the prime factors of (12*w)\/(3\/9 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -824174, 0, 3 in increasing order.\nAnswer: -824174, 0, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/54*3696\/10164?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -126000 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, -32, -25, -2 in descending order.\nAnswer: 20, 4, -2, -25, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(5\/103) + 2. Suppose -5*i + 0*h = -3*h - 95, 5*i = h + m. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19970, -18040 in decreasing order.\nAnswer: 19970, 2, -18040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 divided by 4?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z. Suppose z = 2*w - w - 3. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 1836905.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = 0. Let b = 5 + a. Suppose b*p - 160 = 2*i, -5*p = i + 4*i - 125. Solve -y = -5*s + p, -4*s + s + 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 3*p**3 + p**2 - 2*p**3 + 0*p**2 - 2*p**3 + 0*p**2 + (2*p - 4*p + 0*p)*(-p**2 + 3*p**2 - p**2).\nAnswer: -10*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 2\/5, 2\/3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19222960 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**2 - 516. Let f(l) = -77*l**2 + 2. Give f(a(m)).\nAnswer: -308*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 284, 3, 10 in decreasing order.\nAnswer: 284, 10, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111001 (base 2) to base 3.\nAnswer: -212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 48. What is the greatest common factor of 64 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 79*j**4 - 518*j**3 + 86*j**2 + 521*j - 165 = 0. Calculate j.\nAnswer: -1, 1\/3, 1, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13428 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = s - 59, 0 = -8*s + 3*s - f + 301. Calculate the smallest common multiple of 16 and (-1)\/(s\/(-56) - -1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246900 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 24 = -1. What is the tens digit of 3\/3 - -2*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -17*j**4\/4 - 69*j**3\/2 - 203*j**2\/4 + 159*j\/2 + 10 = 0.\nAnswer: -5, -4, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-50)*(5 - (-15)\/(-2)). Let p = 11 + -34. What is the second biggest value in -5, p, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -5*x + a, 100 = -43825*x + 43833*x + 2*a for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 26. Suppose -7*r + 6*r + d = 0. Suppose h - 3 = -5*a + 37, 40 = 3*h - 5*a. Calculate the smallest common multiple of r and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 + -53. Let l = r + -116.7. Sort 5, -0.2, l, 8\/3 in decreasing order.\nAnswer: 5, 8\/3, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:41 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 0.6. Let d = 7.3 - 7. What is the third smallest value in 3\/8, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3090 divide 4432606562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38150 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19784*h**3 + 26*h**2 + 3*h + 11 wrt h.\nAnswer: -118704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 394, 3.\nAnswer: -4, -3, -2, 3, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -59, -87?\n\"Answer: -28*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105802, 105842, 105898, 105976, 106082, 106222, 106402?\nAnswer: 106628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249307900 rounded to the nearest one million?\nAnswer: 7249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 5*w + 18 = 0. Let v(d) = 687*d**2 - 6*d - 7. What is the units digit of v(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2910 and 8?\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-428)\/40)\/((4313\/190)\/(-227))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 60 - 94. Suppose -4*w + 5*u + 448 = 0, -4*u = -w - 0*u + 112. Let n = t + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzxxxzzzzxxz. What is prob of picking 3 z?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 197 - 2?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, i: 11, t: 1, g: 1}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/163631 and 31\/131703.\nAnswer: 5399823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 12 - 10*t + 42*t**2 + 11.\nAnswer: 42*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3022*n - 225993. Calculate s(73).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**3\/(q\/((q\/(q**(-5)\/q))\/q)*q*q*q*q\/q**(-8\/9)*q) assuming q is positive.\nAnswer: q**(-94\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t + 2. Let b be d(0). Let m(i) = -2*i**2 - 53*i - 226. Let v be m(-21). Let p be 3 + v - (-35)\/21*-3. Solve 0 = n + b*n - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6505406426 + -6504865567.9981. Let l = -540892 + h. Let d = l + 34. Round d to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) - -3*sqrt(2016))\/sqrt(2) + (sqrt(567)*-1 - (sqrt(7) + sqrt(28)\/sqrt(4)*-5)))**2.\nAnswer: 12943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -287, -2273, -7675, -18203, -35567, -61477, -97643, -145775?\n\"Answer: -285*h**3 + 2*h**2 + 3*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/120 - x**5\/10 - x**4\/4 - x**3\/6 - x**2. Let y be k(-5). What is the highest common divisor of 44 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 7*q**3 + 3*q**3 - 4*q**3 - q - 9 to x*q**3 + b*q + y*q**2 + d and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -331 in -3\/5, 47, 0.2, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67787536.8383 - 67783821. Let b = -3716 + r. What is b rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a week?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3614 is divided by 197.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*n + 204138 = -356644 - 319525. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 11:10 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 0*y**3 + 8*y**5 + 4*y**3 + (-3 + 4 + 0)*(5*y**5 - 4*y**5 + 0*y**5).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 11. Let x be g(13). Differentiate -2*b + 6*b**x + 4*b - 2*b + 9 with respect to b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -15756, -33 in increasing order.\nAnswer: -15756, -33, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110.271 * 0.112\nAnswer: -12.350352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssppssss. Give prob of sequence spp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 457 + -319. Let r = -142 + a. What is the biggest value in -2, -0.2, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*w, 4443*m - 4445*m = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -33*a + 198. Suppose -2*f + a*d + 29 = 13*d, -16 = -3*f - 2*d. Solve -q - 4 = -f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 157080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m**3 + 5*m**3 + 30*m**3 + 0*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 18*c**2 + 8*c - 173. Let t be g(18). Is -31 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4509331*s + 25*s**2 + 4509331*s.\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 12*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n + 10. Let j be (-4)\/(-6) - n\/6. Suppose d + p - 5 = -j, 36 = 5*d - 3*p. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12580 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/((-280)\/48)*12\/(-264).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*n + 17 + 53, -2*g - 2*n = -44. Suppose 0 = -3*k + 4*k + g. Let h = 36 + k. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in -1\/4, 0, 0.2, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1529248 and 300388.\nAnswer: 16821728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125461, 125459, 125455, 125449?\nAnswer: 125441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*(h*h\/(h\/(h*h**24\/h)))\/h)*h))\/h)**(-2\/7)\/((h*((h**(-25)*h*h)\/h*h)\/h)\/h**30) assuming h is positive.\nAnswer: h**(327\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-6)\/18). Let t = -1 - k. Let l be -8*t\/4*1. Which is the second biggest value? (a) 1\/7 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 2*l + 34. List the prime factors of k(0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 20. Let p(j) be the third derivative of -j**6\/120 + j**5\/10 + j**4\/12 - j**3\/2 - 296*j**2 - 3. Calculate p(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7161593.667000006 - 7161594. Let g = 0.333 + v. Round g to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6595.122+4922084\nAnswer: 4928679.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -2\/11 (c) 64 (d) 0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220451 is divided by 4121.\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-143) - (5\/(-1235))\/(4\/132)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v + 18*v - 29*v - 11 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 - 251454*v**3 + 21076371372*v**2 - 588859765219432*v = 0 for v.\nAnswer: 0, 83818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 23*b - 19. Let a be h(-6). Let v = -79 - a. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/2008216 and 73\/62181.\nAnswer: 54221832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3187802*y - 3187802*y - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9443466 and -77\/1049274.\nAnswer: 9443466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147173631\/1154201410 - 98958\/74455. Let t = l - -55\/46. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(170))\/sqrt(10) + sqrt(17))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.69164 nanometers to meters.\nAnswer: 0.00000007569164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 15) to base 5\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 13*f - 56 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 32. Let x(s) = -12*s + 10*s - w*s**2 + 1 - 2. Give x(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6) + sqrt(17))*5*2.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -641, -1408, -2175, -2942?\nAnswer: -3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (0 - 1)) + -31 + 84 + -70?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -25*o**2 + 41*o - 27. Let j(c) = 9*c**2 - 14*c + 9. Let l(b) = 4*a(b) + 11*j(b). Let h be l(9). Solve 2 = -g, 3*s - 2*g - 2*g - 2 = h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/((-2)\/30). Differentiate -2 + 2*k**4 - 3 + k**4 - y*k**4 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -28*h**2 + 9*h + 7. Let y(q) = 9*q**2 - 3*q - 2. Let n be 1\/((-45)\/21 - -2). Let w(f) = n*y(f) - 2*j(f). Find the second derivative of w(v) wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3528 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + ((sqrt(147) + sqrt(147) + -1)*5 - sqrt(147)))**2.\nAnswer: -700*sqrt(3) + 14725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0 + (-4 + 2 + 3)*(-4*l + 3*l - l))*(-13*l - 14*l - 14*l).\nAnswer: 123*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z**2 + 8*z + 1. Let t(c) = 7*c - 1. Let v be t(1). Let o(y) = y**2 + 9*y + 224 - 223 - 21*y**2. Let j(n) = v*o(n) - 7*p(n). Calculate j(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*z + 266*z - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -289245 (base 10) in base 16?\nAnswer: -469dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from czzlzzzzczzzuz.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 30*l**2 - 4*l + 2. What are the prime factors of q(14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + 1. Suppose 0 = -6*l + 14*l - 96. Calculate the remainder when f is divided by ((-56)\/l)\/((-1)\/6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -167*v**3 + 5*v**2 - 5*v. Let w(f) = 2088*f**3 - 63*f**2 + 63*f. What is -63*a(d) - 5*w(d)?\nAnswer: 81*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348295?\nAnswer: 5, 41, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 z when three letters picked without replacement from nnzqnnpnzz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m + 6*m + 2*m + (-5 + 6 + 1)*(0*m - 3*m + 5*m) - 8*m - m + 2*m - 2 + 3 + 3*m + 9*m to k + c*m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 30*c - 56. Suppose k + b - 10 = -2*k, 3*b - 8 = 2*k. Calculate the remainder when 5 is divided by u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 + 877464*l\/5 + 3509824\/5.\nAnswer: 2*(l + 4)*(l + 438728)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 246 in decreasing order.\nAnswer: 246, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 11:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 461 - 443. Suppose 4*n + 82 = -98. Let j = n - -72. What is the highest common divisor of j and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -30. What is the remainder when j is divided by (-1 - 4\/(-1)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28, -2\/23, 0.15, -1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(28)*2) + 5 + sqrt(28)\/sqrt(4))**2 - (sqrt(252) - (sqrt(252) + (2*(sqrt(252) + (sqrt(252) - -2*sqrt(252))))**2)).\nAnswer: -20*sqrt(7) + 16181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a80555 (base 11) in base 14?\nAnswer: -671664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**2 + 14. Let w(z) = 5*z. What is w(h(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + a - 2 = -6*u, -4*u = -5*a - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 15*f + 65. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 105*o**3 + 69*o**2 + 42*o - 21. Let a(r) = 21*r**3 + 14*r**2 + 8*r - 4. Give -21*a(c) + 4*i(c).\nAnswer: -21*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + 0 + sqrt(567) - sqrt(567)) + (sqrt(567) - sqrt(567)*-1*-6)*4)**2.\nAnswer: -3600*sqrt(7) + 226900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2847 divide 838461429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 4\/5*j**2 + 4*j**3 - 16*j + 0 + 15\/2*j**4. Find m, given that t(m) = 0.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236\/3 - 2 - (-4 + 7).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18000142?\nAnswer: 2, 643, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9394333 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/45)\/((2\/122424)\/1). Let z = -14969 + t. What is the common denominator of -55\/9 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + p + 1 = 0, 2*z + 4*p - 18 = -2. Let c be -1 - (-14 + z) - (-8 + 8). Let b(i) = -25*i + c*i + 15*i + 4*i. Let g(r) = -3*r**2. Determine b(g(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 2 + 6 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 5:38 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9) - 7\/(-3). Suppose 0 = -5*u + 5*a + 25, g*u + 6 = a + 25. Calculate the greatest common divisor of 21 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4*v. Let z be g(5). Suppose -z*d + 60 = -d. Solve -d = 3*y, 0 = 2*h + h + 3*y + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2 = -c, 2*u + 18 = 5*c + 5*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -6*h**5\/13 - 32*h**4\/13 - 54*h**3\/13 - 20*h**2\/13 + 24*h\/13 + 16\/13 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f. Let l be k(0). Suppose -9 = d + 9*c - 6*c, l = 4*d + 2*c + 6. Solve d = 5*i - v - v - 5, v = 2*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334 - 147. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 39*h + 87*h + 29*h - 158*h.\nAnswer: -3*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 23, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7972 - 7970. Let k(n) be the second derivative of -9*n + 0 - 5\/12*n**4 + 5\/6*n**3 + 15*n**x. Find u, given that k(u) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 7}. What is prob of picking 1 z and 2 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -907 (base 11) to base 12\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j + 2*k - 54, 2*j = 5*k + 75. Suppose 276 = 27*u - j*u. Let v = -74 - u. What is the smallest common multiple of v and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, -2\/15, 176, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2272*i**3 + 96*i**2 - i + 3340071?\nAnswer: -6816*i**2 + 192*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 + -433. Is -8 + 12 - (-3436)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) -2\/5 (b) 0.133 (c) 5 (d) -6\/7 (e) 1 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 2955.324?\nAnswer: -147.7662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46920 = 17*l - 25585. What are the prime factors of l?\nAnswer: 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {p: 12, e: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*z - 3020 = 0. Let k = -354 - z. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/168*7\/(-5). Let m = 20.2 + -20. Let j = 3.3 + -3. What is the closest to 1\/3 in m, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 9. Let l(p) = -22 + 171*p - 8 - 176*p. Let y be l(-6). Solve v - f = -y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = r - 24, -3*x + 30 = 2*x - 5*r. Solve -5 = -3*l - 2*l, x = 4*f - 2*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (50553\/(-2))\/(-3)*176\/132?\nAnswer: 2, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(468) + 0 - (sqrt(1053)*-1 + -3)**2.\nAnswer: -1064 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = 3*t - 381 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14594 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78163, -312722, -703661, -1250986, -1954703?\nAnswer: -2814818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21.5 times 15653\nAnswer: -336539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 3*j - 6*j**3 + 8*j + 12*j**3 + 5*j**3 to n*j**3 + h + q*j + i*j**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346554*u - 64276*u + 180984*u - 76819*u.\nAnswer: 386443*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Let f(j) = -j**3 + 10*j**2 - 9*j + 2. Let k be f(9). Suppose -s + 2*s = 4, -3*g + k = -4*s. Sort b, -4, g in ascending order.\nAnswer: -4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417156503 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: Let p(y) = -483*y - 9710. Give p(-20).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3191 (b) -2\/5565 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*f - 245*f - 261*f + 305*f.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-1\/4)*x*x))**(-10)*(x*x**3)\/x**(7\/3))**30 assuming x is positive.\nAnswer: x**875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 - -2d?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = s + 15, 0*s + 20 = s + 3*h. Suppose v = 7 - s. Suppose 3*y = -4*k + y + 58, -4*y = 4. Solve 5*a = 4*a - v*g + k, 3*g = -2*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69733.\nAnswer: 137, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 30 (b) -2\/7 (c) -5\/31 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/77770 and -44\/10605?\nAnswer: 233310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.18. Let r = h + 0.28088. What is r rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 582444.4856 to the nearest one hundred.\nAnswer: 582400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184108 to the power of 1\/2, to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -1\/2*q**3 + 0*q**2 + 0*q**4 + 0*q**5 - 4*q + 0 + 0*q**6 - 1\/14*q**7. What is the second derivative of m(n) wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296525874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 - 13223*u\/2 + 39615\/2 = 0.\nAnswer: 3, 13205\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or 1?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*l + 0*l = 23, -2*l + 19 = 3*k. Suppose 0 = 6*t + 14 - 38. Suppose 4*o - 8 = 4*b, -k*b + 0*b - 2*o + t = 0. Solve b - 1 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/140)\/(8\/(-40))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*y - 2 + 454*y - 963*y to a*y + m and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-182)\/(-9) - 14\/63. Suppose -6*z - x = -2*z. Let t(c) = -5*c**3 + 3*c**2 - 5*c - 6. Is t(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 576*s**3 - 3*s - 2 - 2*s**2 - 566*s**3 + s in the form v*s**2 + a*s**3 + u + q*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.4 (c) 2\/3 (d) 3 (e) -25\/321\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-2)*1*9\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkydykykydikiyiyidy. Give prob of picking 2 i and 1 p.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 34 = -c + 5*a, 0 = c + a - 8. Let s be c + 3 + (-4 - 2). Suppose l + s*l = 5*r - 20, l - 5 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.6 - 1.7. Let f = -0.2 + a. Let l = f + 6. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -4. Suppose -6*h - 5*a + 59 = -2*h, -z*h = -4*a - 10. Suppose -c + 0 = -4*k + h, -1 = k - 4*c. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p + 228 = -532 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-6)\/48 - (-13)\/(-4). Put w, 2, 2\/13 in descending order.\nAnswer: 2, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0241 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - i = -13, 2*i + 2*i = 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 3*o + 301 = 0, 0 = -3*o - 3. What are the prime factors of w?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 258.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 = -2*l + w, 3*l + 3*w = 21. Let t be 4 + -2 + 1 + 4. Solve 0 = u - l, -5*x + t = 4*u - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + 2*h - 2 to n*h + s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 365712?\nAnswer: 365662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -924, -923, -924, -927?\n\"Answer: -h**2 + 4*h - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j. Let v be -2 + 0 + j + 3. Solve -z + v = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60795083 to the nearest integer?\nAnswer: 7797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, -49332, 24 in ascending order.\nAnswer: -49332, -2, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from jcazca?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/6 + 16*o**3\/3 - 57*o**2 + 180*o - 369\/2 = 0.\nAnswer: -41, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:49 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50909.8149s in weeks?\nAnswer: 0.08417628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 16. Suppose -8*j + p*j = 3. Solve x = 4*i + i + 14, 0 = 3*x + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(832) + -1 - sqrt(832))*-6 - sqrt(832)) + sqrt(832) - ((sqrt(832) - (1 + sqrt(832))) + sqrt(832) + -2)) + 5)*3)**2.\nAnswer: -2016*sqrt(13) + 9252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 + -13?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 24*d = -267, -5*b - 373 + 10 = d for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226369501 take away -1773?\nAnswer: 6226371274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 78.8902, 0.3, 13, 0.2 in increasing order.\nAnswer: 0.2, 0.3, 1, 13, 78.8902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, v: 4, u: 1, i: 1}. Give prob of sequence hv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 603\/87 + (-146)\/(-2117)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*v + 60*v - 160 + 7861 + 3051 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11381, 10427, 9447, 8429, 7361, 6231?\n\"Answer: -2*q**3 - q**2 - 937*q + 12321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g**3)*(-3 + 4 + 1)*((0 + 4 - 2)*(1 + 2 - 1) + 2 + 0 + 1).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*p = 15, 2*l - 3*l = 5*p - 29. Let s = 32 - l. Let a = -143 + 209. What is the remainder when a is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 29*u - 3. Let o be v(-2). Let q = -11 + o. Is (27\/(-6))\/(4\/q) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 1, v: 1, e: 2}. Give prob of sequence ej.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 8. Let i be (-122)\/(-14) - (-6)\/21. What is the remainder when 1 is divided by x(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 539962 = -4*i - 13*l, -3*i + l = -404969. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r)**(1\/5)\/(r*r\/(r**(-1\/2)\/r))**33 assuming r is positive.\nAnswer: r**(-5781\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -542674 or -542675?\nAnswer: -542674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6307.2324 milliseconds to days.\nAnswer: 0.000073000375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 19 = -5*h + 74, 0 = 4*h - 4*u - 48. Suppose 3*a - 2*o = a + 34, -4*o + h = a. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 84 = 11*g. Suppose 9*l = -g*l + 92. Is 20 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23068575 divided by 185?\nAnswer: 124695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*g + 2*r, 3 = 2*r - 3. Is ((-109)\/g)\/(4\/(-40)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -3*r**2\/2 - 2060. Let c(w) = 215*w**2. Calculate c(s(b)).\nAnswer: 1935*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, 1, 4 in descending order.\nAnswer: 4, 1, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**5\/70 + o**4\/14 + 2*o**3\/21 - 4*o - 4. Find i, given that l(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/7 - -17\/21. Let g = -49 - -44. What is the biggest value in s, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73882?\nAnswer: 2, 17, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 5*a - 6. Let o be l(-10). Which is bigger: 5\/6 or o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 227 - ee9d?\nAnswer: -ec76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -183*x - 2. Let g(b) = -b**2 - 2*b. What is g(r(c))?\nAnswer: -33489*c**2 - 366*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 306abd (base 16) to base 3\nAnswer: 12222012121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131\/3 + -44. Which is the nearest to x? (a) -0.2 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01031837436 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 7*m + 5*m - 78*m to the form u + b*m and give b.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/m)\/m**(4\/7)*(m*m**(1\/3))**30 assuming m is positive.\nAnswer: m**(835\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*l - 10*l = 21018, -15 = 5*l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3283 - 3278. Let h(r) = -5 + r**3 - 2 + 0 + 0*r**3 - 4*r**2 - 4*r. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 j, and 1 e when four letters picked without replacement from ejoeeooeeeooej?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 + (1250964\/675)\/(-33))\/((-2)\/(-3) + 0)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, i: 1, m: 1}. What is prob of picking 1 m, 1 l, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/2 (b) 0.7 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 4*w**3 + 2 + 3*w + 5*w**3 - 2*w - 8*w**3. Suppose 8*y = 93 + 19. Suppose i = -6*i + y. Determine l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -1. Let r be (4\/3)\/((-2)\/(-6)). Let d be -2 + 4 + 0\/1. Solve -2*f = d*v - r, -2*v + 3*f = -6*v + s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980102 is divided by 232.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 1361529.648?\nAnswer: -1361534.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -83210 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8026?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/5 + 1044*c**2\/5 + 308637*c\/5 + 28038042\/5 = 0 for c.\nAnswer: -618, -213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 1\/5*z**6 + 0*z**3 - 3*z + 1\/6*z**7 + 9\/4*z**4 + 1 + 0*z**5 + 0*z**2. Find the third derivative of a(k) wrt k.\nAnswer: 420*k**2 + 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 5, m: 1, c: 4, v: 4}. What is prob of picking 1 m, 1 f, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.95881 litres?\nAnswer: 13958.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 1 - (20 - -2 - (8 - -7)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, -0.3, 16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhmxmpomqooqq. Give prob of picking 1 p, 1 o, and 1 m.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 786815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4\/3)*l**15*l)**(-1\/23))**13 assuming l is positive.\nAnswer: l**(-572\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/15)\/i**(-1\/11))\/((i*i**(-10\/3))\/(i**(4\/17)*i)) assuming i is positive.\nAnswer: i**(3671\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 640\/(-60) - -10 - 1*-1. Put 0, c, -0.11, 1\/8 in increasing order.\nAnswer: -0.11, 0, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {y: 2, s: 3, f: 2, b: 2, d: 4, x: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 4\/5 (b) 288 (c) -449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 17529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1204 + 2302110?\nAnswer: 2303314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3312*s**3 - 1022*s**2 - 892*s**2 + 582*s**2 + 542*s**3 wrt s?\nAnswer: 23124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2999*i**3 + 2*i**2 + 554 wrt i.\nAnswer: 17994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 9079992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 8*x**2 - 12*x + 12. Let a be q(8). Let t = -292 - a. Suppose 2*y = -0*y + t. What is the highest common factor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004992889 rounded to seven decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o - 2. Let x = -13 - -7. Let k be p(x). Suppose 9*g - 4*g - 78 = 2*a, -2*g = -3*a - k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9696766.\nAnswer: 2, 17, 285199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 100. Let g be (-13)\/(-7) - (-1)\/t. Find p, given that -1\/2*p**g + 1\/2*p + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2 - 25571100*g + 81735144401250 = 0.\nAnswer: 6392775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 3. Let m be h(3). Suppose -3*o - 24 + 21 = 3*t, -5*t = 5. Solve 4*l - 4*d - 8 = m, o*l + d + 5 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/163 + 359\/1793. What is the nearest to i in -0.4, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 72*j**2 - 17*j - 691. Calculate a(-36).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 11 + 6 = 2*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*t, -4*w - t + 6*t - 2 = 0. Let j(v) = -3*v**3 - 9*v**2 - 6*v - 1. Calculate the remainder when 26 is divided by j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5 - 204*b**4 + 1544*b**3 + 141336*b**2 + 268028*b - 410700 = 0.\nAnswer: -37, -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.54542mg in tonnes?\nAnswer: 0.00000000954542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -0.014, -12, 4\/5?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:10 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36509578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/(-108) + 2\/8. Let k = 134 - 134.5. What is the second smallest value in i, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y. Let q be (2 + 15\/(-6))*0. Suppose 0 = 3*l + 2*l - 3*b - 6, -l - b + 6 = q. Let u(s) = -s + 3*s - l*s. Give c(u(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**7\/105 - 97*o**6\/15 - 18623*o**5\/15 + 6305*o**4 - 12675*o**3 - o**2 - 66*o. Suppose b(z) = 0. Calculate z.\nAnswer: -195, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + ((5*(1 + sqrt(1088)))**2 - sqrt(1088)))*5 + -4 + ((1*sqrt(1088) + sqrt(1088))**2 + sqrt(1088))*3 + 0 + sqrt(1088) + -5.\nAnswer: 1992*sqrt(17) + 149153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 14*n - 252 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -5*l. Let a be (l - -1 - 4)\/(-2). Suppose -5 + 1 = a*h + 5*f, -6 = -4*h - 3*f. Solve h*n - 12 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 - q. Let b be d(-1). Does 15 divide b\/((-7)\/2) + 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.58 (c) -924 (d) -3 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 2 + 0*u - 2*u**3.\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3\/5 (c) 0.1 (d) 0.0295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvabvkkbl. What is prob of sequence yab?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -125689 + -1?\nAnswer: -125690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 384 + 59 = 0. Suppose -151 = -3*s - 130. Suppose 2*f = s*f - x. Calculate the remainder when 49 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j + 1. Let n(r) = -56*r**2 + 33*r - 3. Let a(y) = 2*n(y) - 2*p(y). Factor a(s).\nAnswer: -2*(5*s - 2)*(11*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n + 8 = 0. Let u be (-14)\/35 - n\/5. Which is the closest to -1\/4? (a) u (b) 1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (99\/8)\/3. What is the second biggest value in t, 1, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 + 2 = 2*j, -2*j = -4*r - 20. Suppose -3 + j = -a. Solve w - 1 = 5*d, -d = w + 2 + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.03 (b) -2\/7 (c) -4\/3 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1062711 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 164 = 12*u. Solve u = -3*k + 5*a, 2*k - 3*k - 3 = 2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6653 (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152 or 1379\/9?\nAnswer: 1379\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7593 in 203, 0.1, 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24760*i**3*r**2 + 2*i**3 - 10*i**2*r**3 + 4*i**2 - 58629 wrt r.\nAnswer: -49520*i**3*r - 30*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:13 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-81)\/18 - (-1)\/2. Let n = -1 - y. Differentiate -6 - o**4 + 2*o**4 + n with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*o**4 - 1\/3*o**3 + 0*o + 0 - 1\/6*o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 128 + -2854359?\nAnswer: -2854231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00185251674 rounded to 7 decimal places?\nAnswer: 0.0018525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 4*x. Let s be j(3). Let m be 3\/s*-1*0. Suppose -y + 2*y - 14 = m. What is the remainder when 41 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-756)\/(-8))\/27)\/((-4)\/8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 1 - 6*z + z)*(3 - 4*z - 2 + 2*z) as r*z + f*z**2 + g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -573 (base 11) to base 12.\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - 3*m**4 + 3*m)*(61 - 18 + 63 + (-3 - 2 + 6)*(4 - 1 - 1) + 2 - 2 + 1) to n*m**4 + s + l*m + q*m**2 + x*m**3 and give n.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -81988 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -1061*p**8\/56 - 121*p**4\/24 - 11*p**3\/6 + 3*p**2 + 2*p - 862. What is the second derivative of c(t) wrt t?\nAnswer: -127320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -823, -1646, -2469, -3292, -4115, -4938?\nAnswer: -5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6006 and 31560438.\nAnswer: 347164818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k - 15 + 15 to the form f + r*k and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = 25*m - 135 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -81. Let r be (((-6)\/w)\/1)\/(16\/1568). Suppose 7*d = 3*d + r. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -964088 less than -964108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -82. Suppose q = i + 2. Solve -t + q*t = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and -16586874?\nAnswer: -59712746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1)\/(3*sqrt(3)*1))**2 + -1.\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, t: 3}. Give prob of picking 1 t and 3 d.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 1, 4\/3, -209, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let g(r) = -19*r - 23. Let f(w) = -8*w - 6. Let k(l) = 2*f(l) - g(l). What is k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.874498ml to litres.\nAnswer: 0.002874498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 90. Calculate the least common multiple of 8 and ((-7)\/(-7) - 2*-85) + b.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) -7 (d) -0.4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**2. Let f(j) = 3*j**2. Determine d(f(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**2 - 9386*s - 299?\nAnswer: -2*s - 9386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 - 151. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 3. Let o be -3 + 1239998\/(-2)*f. Let y be -1*(3 + -5) + o. Round y to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b - 5*b + 16*b. Let l be 6 - (9 + -3 + -1). Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 5 = n. Let a = -32 + n. Let b = a - -20. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11290?\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 27*b - 16. Let f(y) be the second derivative of -2*y**2 + 0*y**b + 0 + 0*y**3 - 1\/4*y**5 + 3*y. What is the derivative of f(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 37*g = -6*g - 30*g + 4774 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j**3)*(-3*j + j + 4*j) - 2*j**4 + 4*j**3 - 4*j**3 + (-3*j**2 + 6*j - 6*j)*(-j**2 + 2*j**2 - 2*j**2) + 6*j**3 - 2*j**4 - 6*j**3.\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -187 - 6*i**3 - 2*i**5 + 2*i**2 + 6*i**4 + 187.\nAnswer: -2*i**2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/1243 and -101\/183436?\nAnswer: 20728268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*h = -7, -13*h = -14*h for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:51 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 12. Let i be s(15). What is the closest to -3\/4 in 1\/2, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9281?\nAnswer: 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10416 is divided by 5170?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -212.\nAnswer: 169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*f - 175, 2*f + 2*f - 3*d - 113 = 0. Calculate the remainder when 61 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5080*h = 5083*h - 24678. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (-3 + (sqrt(1008)*-2)**2)) + 2.\nAnswer: -4027 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3693071 times 0.3?\nAnswer: -1107921.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3896218 nanometers to meters.\nAnswer: 0.0000000003896218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3514 - 3515 - 13*g + 118*g + 16*g.\nAnswer: 121*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 241330?\nAnswer: -241320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202238 = 5674*b + 184731 + 292746 + 286487 for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -333*c - 53*c + 42*c - 4816 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 91886236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2. Suppose 10 = 5*h + 2*d, -t*h - 2*d + 7 = 3. Let x(c) = c**3 - 4*c**2 - 4*c + 7. Let i be x(5). Solve -i = f + 2*f, -3*f - 4 = h*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26126 + 26126.0000046543. Round p to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1098, 2204, 3310, 4416?\n\"Answer: 1106*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 305 = 3*s + 5*m, 3*s - m - 203 = 0. Let v = s + -196\/3. Which is the closest to v? (a) -4\/7 (b) 2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/315*-8*9\/(-6).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/(1\/39). Suppose 11 = o - 2*u, 2*o - 59 = -2*u - n. Let v(w) = -w + 27. Let k be v(8). Calculate the highest common factor of o and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244143111 (base 5) in base 11?\nAnswer: 72426a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 - 5*f + 9. Let n be 20\/120 - -43*(-2)\/12. Give w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*3)\/(6*(sqrt(30)\/sqrt(3) + sqrt(10)) + sqrt(10)) + 1*(-6*(5 + sqrt(17) + 2 + 5))**2.\nAnswer: 11238*sqrt(17)\/13 + 5796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1480\/(-2405)*((-390)\/(-4))\/(-5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.64156 micrometers to centimeters.\nAnswer: 0.003464156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571584087?\nAnswer: 3, 19, 73, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 36 = 0. Suppose -3*u + 168 = t. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1549*h + 13*h**3 + 1554*h - 3104*h + 34*h**3.\nAnswer: 47*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) - (sqrt(156) - sqrt(156)*-2))\/sqrt(12))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**3 + 2*u**3 - 9*u + 8*u**3 + (4*u - 4*u + 14*u**2)*(2*u - 2*u - 2*u - u + 3*u - 4*u + (-1 + 2 + 1)*(-5 + 5 - u)).\nAnswer: -88*u**3 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvvvvcvvmvvvccmmcm. What is prob of sequence cm?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 775776?\nAnswer: 775776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((sqrt(272)*-1 - sqrt(272))*-1 + -5)**2).\nAnswer: -400*sqrt(17) + 5580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 101*h**2 - 986*h + 360. Let t be o(-90). Which is bigger: t or -3\/21109?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058327259 rounded to four dps?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 2*h - 26. What is v(-8)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 877423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1434)\/(-10)*4*30\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -79*j - 22. Let w be h(-5). Suppose -k = 3*k - t - w, -3*k + 285 = t. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.95 - -26. Let a = x - 0.25. Let o = 0.1999993 + a. What is o rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 239 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 6071, -7.\nAnswer: -10, -7, -5, 6071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28922884*w**2 - 1035673728*w + 9271378944.\nAnswer: 4*(2689*w - 48144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8536400363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 115*n**3 - 8*n**2 - 6*n - 5. Let x(p) = -575*p**3 + 38*p**2 + 28*p + 23. Give -19*k(g) - 4*x(g).\nAnswer: 115*g**3 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-2)*(-29 - 2328\/(-68)) and ((-27)\/60)\/(12\/(-44)).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 157072.\nAnswer: 49\/157072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x + 19*x - i + 6, 15 = -5*x - 5*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -4, -3160, -3, 3 in descending order.\nAnswer: 3, 1, -2, -3, -4, -3160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11844390 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by -3.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -35*u - 194. What are the prime factors of q(-24)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3184293 is divided by 2916?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6 and -2 - (-195)\/25*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -466 + 772. Suppose 7*t = t - u. Let v = t + 77. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 4:33 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 - 3 - 64*h.\nAnswer: -64*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*k**4 + 681464*k**3 - 7036404900*k**2 + 24219945155000*k - 15409843093750.\nAnswer: -2*(k - 10325)**3*(11*k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnncnnnnnnnnn. What is prob of sequence cn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396*r + 331*r - 287*r - 91026 = -2061*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*z - 41*z + 4*z**2 + 2 - z**2 + z**4 to c*z + b + k*z**4 + o*z**2 + q*z**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76007 + -76007.39987. Let q = -0.42 - -0.02. Let x = i - q. Round x to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 9*y - 689. Calculate c(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 1.3 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144851148 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2 + l - 2. Let g be f(-4). Find the common denominator of (-4)\/(-8)*g\/8 and 37\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49337138*n**2 + 49337161*n**2 - 98674439*n**2.\nAnswer: -140*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123 times 477?\nAnswer: -58.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11930141?\nAnswer: 17, 53, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(15)\/sqrt(5)))\/sqrt(2)*4 + (-5 + sqrt(17) + sqrt(425) + 0)**2 + 3.\nAnswer: -56*sqrt(17) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a - 34*a + 48 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 41 - 7 = 0. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -39 - (-15 + 4)) + (-14 - -21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(1\/26)*r**(-3)\/r**3 assuming r is positive.\nAnswer: r**(-155\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 12*m**2 - 6*m - 44. Let l be z(14). Suppose l*i = 277*i - 1300. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7971750 and 42516?\nAnswer: 15943500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 101. List the prime factors of (-160)\/(-100)*(-70)\/f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38400\/13 - 2\/(-13). Let p = t + -26615\/9. Find the common denominator of -47\/5 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21*(5 - 1))\/(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37110 (base 12) to base 15\nAnswer: -170e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -1 - 2. Let m be 15\/6*a*2. Let u be (-1 + 5)\/(7 + m). Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-480)\/(-360)*(-18)\/68?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/4 - (-6)\/4. Suppose 1275 = -n + g*n. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**2\/2 + 564*u + 1. Let q be g(0). Suppose -3*o = o - q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 254556111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5024 divided by -684\nAnswer: 1256\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2241, -17947, -60553, -143499, -280225, -484171, -768777?\nAnswer: -1147483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 861 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -37638500 to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-4 - 16)) + (14 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a + 24. Let i be b(-7). Let k = i - -22. Solve 28 = k*g - 4*x, -3*g - 5 + 14 = x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4407 - -6170. What are the prime factors of w?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 24. Let f = 19\/2 - i. Let n be 4\/22*2\/(-4). What is the biggest value in f, n, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992893717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8128?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399520 and 71720?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6792045075?\nAnswer: 3, 5, 10062289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -185887.\nAnswer: -11\/185887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 2, w: 1, h: 2, j: 1, b: 1}. Give prob of sequence wtth.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 17*b - 8. Let s be -13 + (-350)\/(-100)*(-12)\/14. Calculate z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 6183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + j - 171 = 0, -2*n - 66 = -0*n - j. Let a be (1 - 2\/(-4))\/(n\/(-70)). Solve u - 11 = -7*q + a*q, -u = -5*q + 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/903 and -58\/65919?\nAnswer: 65919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*a = 3*a - 17, -3*d - a = 19. Let h(k) = -k + 7. Let y be h(d). Let t(r) = r + 104. Let m be t(0). What is the highest common factor of y and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/45*40\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 55*w + 3 = 58*w, r - w = -1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025354607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 16. Let a(z) = -z - 1. Let l be a(-3). Sort l, -1, m in decreasing order.\nAnswer: m, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 3*l + 2. Let q be ((-20)\/(-8))\/((-1)\/(-2)). Let j be h(q). Let c(v) = -v - 5. Let a be c(j). Solve -u + a*u = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230346*x**3 + 1316888*x**3 + 730247*x**3.\nAnswer: 1816789*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/3 - (-2 + (-21)\/(-9)). Suppose 29*b = 23*b + z. Suppose -4*r = -5*l + 30, -14 - 12 = -b*l + 4*r. Solve -1 = l*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -0*f + 4*f + 5*p, 12 = -3*p. Let g = f + 80. Suppose 0 + 0*n + 2\/5*n**2 + 6\/5*n**4 + 2\/5*n**g + 6\/5*n**3 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -698*v**5 + 41188*v**4\/3 + 19426*v**3\/3 - 38176*v**2 + 56168*v\/3 - 160\/3 = 0.\nAnswer: -2, 1\/349, 2\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -297\/7. Let i = 0.5394 + -0.3394. Which is the closest to i? (a) 0.9 (b) 1\/4 (c) m (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(-12*19\/114)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3244492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-1)\/(-1))\/((-3)\/(-36)*-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1613466873 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/16 in 1\/15, 1, -33?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:48 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxjdjicjcddiicccc. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340737?\nAnswer: 3, 53, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8264 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*r - 141*r + 19*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78)\/63 - 16\/(-24). Let m = -0.03 - -0.43. What is the closest to -2 in -5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by -1.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(1377) + -1*(-2*sqrt(1377) - sqrt(1377))**2).\nAnswer: -36*sqrt(17) + 49568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Let m(n) = n**3 - 4*n. What is the units digit of m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12 and 95\/584.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 64*m + 156 = 0. Calculate m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 6*b - 5*b)*(4 - 3 + 1)*(-469 - 23*b + 469).\nAnswer: 506*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 4 - 16. Let l(t) = 5*t**2 - 1. What is l(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -19\/6, 3, -2 in decreasing order.\nAnswer: 5, 3, -1, -2, -19\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 5869111098?\nAnswer: 5869111098.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 - 16634*x\/13 - 34282824\/13.\nAnswer: -2*(x + 3769)*(x + 4548)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -1\/17, 4, 28, 0.2, -2 in decreasing order.\nAnswer: 28, 4, 0.2, -1\/17, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93 - 101 - 7*a - 10*a**2 + 195)*(3*a**2 + a**2 - 5*a**2) as h*a**4 + i*a**2 + o*a**3 + f*a + v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 529572530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/1*(-7 + 3). Put -1, x, -78 in descending order.\nAnswer: -1, x, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 26. Suppose w - t = -w. Solve -w = -o + 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162.94 + -0.06. Let u = o - -163.3. Sort -7, 3, u, -0.4 in descending order.\nAnswer: 3, u, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*2\/((-1156)\/(-102))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6973224 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 24*g - 141. Let h be f(6). Suppose 4*q + 2*c = 954, 0 = h*q - 2*c - 378 - 334. Calculate the remainder when q is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-356211)\/(-14220) - (-3)\/(-60).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16029 or 64121\/4?\nAnswer: 64121\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2 - 2*g**2 + 130*g**3 - 126*g**3 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -578, 3\/4, 85?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -20, -5, 2, 3010, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from zzzzlzlzzlzz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -30*b - 8. Suppose 1 = -t - 3. Is 23 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let q(p) = 61516*p - 4. Calculate q(t(v)).\nAnswer: -123032*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*u**2 + 2 - 354*u**2 - 1018*u**2 - 320*u**2.\nAnswer: -2211*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**6 + 5*n**2 + 17. What is the second derivative of w(h) wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1608330.564 - 0.2374\nAnswer: -1608330.8014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - (1 + -2) - (267 + -140 - 127).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3437*t - 6 = 3440*t, 4*o = -3*t - 62 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124351 rounded to the nearest one hundred?\nAnswer: -124400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*r - 24*r + 105. What is the tens digit of ((-2078)\/4)\/((r\/(-7))\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 766682.9l?\nAnswer: 766682900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5 - 0) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 0*g + 0*g + (12 - 5 + 8)*(11*g + 54*g - g).\nAnswer: 959*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:05 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11209\/84 + -923\/7. Let m(j) be the second derivative of 7*j - 8*j**2 - u*j**4 + 0 + 0*j**3. What is the first derivative of m(w) wrt w?\nAnswer: -38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 1481\/53?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 9:49 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 1235, 3208, 7051, 13388, 22843, 36040, 53603?\nAnswer: 76156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 - 35*r**2 + 4*r**2 + 8*r**2 + 9*r**3 - 85*r**2.\nAnswer: -r**3 - 108*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 35*h - 33. Suppose 5*s - 171 = 14*s. Let c be a(s). Solve 4*f = -2*f + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + -4. Suppose 432 = 101*w - 119*w. Let k be 64\/(-24)*(-2)\/w. Which is the nearest to 0.1? (a) k (b) 3\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.033482 times 1\nAnswer: -3.033482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*y**2 + 3969*j**3*y + 2*j**3 + 128*j**2 + j wrt y.\nAnswer: -4*j**3*y + 3969*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7111, -28452, -64023, -113824, -177855, -256116?\n\"Answer: -7115*v**2 + 4*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/(x**(-9)\/x))**(1\/7))**(-4\/35) assuming x is positive.\nAnswer: x**(-32\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3197420*i**3 - 28397*i**2 wrt i.\nAnswer: -19184520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 4*k)*(11 - 5*k - 11)*(3*k**2 + 1 - 1).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243343 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - -1*sqrt(504) - sqrt(504))*3)\/(sqrt(288) - sqrt(288)*-2*-6).\nAnswer: -3*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnnnppvnwpnpwnpp. Give prob of picking 2 p and 2 w.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-26 - -2) - (-2 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 16558549562.\nAnswer: 16558549562.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1303806 and 4780622?\nAnswer: 14341866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*h = 6 - 20, -4*b - 5*h - 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -846.099 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190848 (base 11) to base 14.\nAnswer: -79128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13018000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnnnxlnnlxelnh. What is prob of sequence xhxn?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 15, 3*w - 4*d = -226 + 223. Solve -w*h = -12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)\/y**(-6\/5))**(-10)\/((y*y**(2\/5))**(3\/11)*(((y*y*y**(5\/4)*y)\/y)\/y*y)\/((y*y*y*y*y**(1\/3)*y*y)\/y)) assuming y is positive.\nAnswer: y**(-1899\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*m - k, 13 = 4*m + 3*k + 2*k. Solve 3 = m*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/461582 and -7\/3440884.\nAnswer: 37849724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3974967*f**3 + 716*f**2 - 2235*f wrt f.\nAnswer: -23849802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106.6813 + 123.682. Let y = m - 17. What is y rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -7*f**7\/30 + 3997*f**6\/20 - 2927509*f**5\/60 - 139895*f**4\/2 - 120050*f**3\/3 - 155*f**2 + f - 12. Factor y(s).\nAnswer: -(s - 245)**2*(7*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {r: 7, w: 1, q: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*k**2 + 29*k**2 + 4*k - 33*k**2 + 0*k - 43*k**2 as c + v*k**2 + w*k and give v.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 78. What is the smallest common multiple of 4 and n?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45637, 91270, 136903, 182536?\n\"Answer: 45633*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {b: 2, g: 2, p: 8}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2)\/p))\/(p**(-2)*p*p))\/(p**(-3\/8)*p\/((p*(p\/(p*(p\/(((p\/((p*p**(-3\/5))\/p))\/p)\/p)*p)\/p*p))\/p)\/p*p)) assuming p is positive.\nAnswer: p**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14932.209 - 14961. Let z = 0.009 - q. What is z rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let o = -9 + 4. Let a(k) = -k**2 + 3*k - 2. Let b be a(2). Put t, b, o in increasing order.\nAnswer: o, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175.7 - 273. Let x = 97 + z. Are x and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x + 7. Let c(k) = -15*k - 11. What is 5*c(o) + 8*v(o)?\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/28*4\/3. Suppose -21*t + 27*t = 10*t - 131*t. Suppose 0 + m*v**2 + t*v + 2\/7*v**4 + 4\/7*v**3 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.8936 to 1 decimal place.\nAnswer: 25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -22*u**2 - 1232*u + 244. What is the lowest common multiple of 305 and x(-56)?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6724612 weeks?\nAnswer: 406704533.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 185 - 920 = 0. Suppose -3*v - 4*p + g = 0, 0*v + v - 5*p = 99. What is the common denominator of v\/2 - 3\/6 and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 81\/2975?\nAnswer: 81\/2975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (0 - (-3 - -9)) - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16. Suppose -5*l + 4*z + 185 = t, 2*z + 154 = 3*l + l. Suppose 0 = 3*x - 3*q - 170 + l, 4*q - 80 = -2*x. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {c: 7, s: 2, g: 8, t: 1, q: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(550)*5)\/((4*sqrt(539) - sqrt(11)) + sqrt(11) - (sqrt(1331) - sqrt(1331)*1)).\nAnswer: 25*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 6*s + 7*s - 7, -5*y + 2*s - 19 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 29, 37, 47?\n\"Answer: w**2 + 3*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 39) + -992 + 969?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 25*q**2 - 28*q - 34. What is l(11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2271042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2567*i**5 + 2622*i wrt i?\nAnswer: 51340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3338?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 take away 2465453746.77?\nAnswer: -2465453777.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174000 and 750?\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193, 831, 1895, 3385, 5301, 7643?\n\"Answer: 213*o**2 - o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 22. Let f be t(9). Let c be (f - 2)\/((-1)\/1). What is the remainder when 3 is divided by 1 - (c + 1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 9. Let k be z(-8). Let n be 4 + (-1 - k\/(-1)). Factor -2 - 2*u**n + 2.\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410\/11 or -3432?\nAnswer: -3432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 70 * 338\nAnswer: 23660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7995 and 14391?\nAnswer: 71955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 = -7*w + 524 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-26*((-44)\/(-24) + -3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 1037283.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3050 + -4868. What are the prime factors of u*(-3 + 48\/18)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + 10*q**2 + 18*q - 10. Let n(u) = 6*u**3 + 14*u**2 + 27*u - 14. Determine 7*j(a) - 5*n(a).\nAnswer: -2*a**3 - 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5494*h + 3381*h - 5887*h. Let j(d) = -d**2. Calculate n(j(y)).\nAnswer: 8000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53763735?\nAnswer: 3, 5, 3584249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 201*y - 354*y + 545*y.\nAnswer: y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3, 1\/203?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 5*o)*(-1 - o - 5 + 3*o + (1 - 1 - 2)*(o + 2*o - 5*o) + 0 + o + 0).\nAnswer: -21*o**2 + 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + -4 + -5 - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-520)\/(-390))\/((14\/(-2))\/((-3)\/2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7395146 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*n + 65*n + 3624 = 0 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + v + 222 = 0, -5*r + 84 = 4*v - 183. Solve r*c + 20 = 51*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57075 at least as big as -57077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 87*d**3 - 4*d**2 + 4*d + 4. Let y(p) = -87*p**3 + 5*p**2 - 5*p - 5. Calculate -5*b(n) - 4*y(n).\nAnswer: -87*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 + 59.2. Let r = u + -61.4. Let z = -6.40000081 - r. What is z rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 45*p + 18. Let q be h(-8). Let l = q - -491. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g - 6*g - 69 = 0. Sort g, 2, 4, -2, -3 in decreasing order.\nAnswer: 4, 2, g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 + v - 3. Let p be 46\/8 + 2\/8. Let w be j(p). Find the third derivative of -2 - t**4 + w*t**2 + 2 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + b3c3?\nAnswer: b3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*y - y + y)*(-3 + 2 + 0) - y + 3*y - 4*y)*(4*y + y**2 - 4*y) to t*y + b + v*y**3 + m*y**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*d - 16, 0 = 5*h - 8*h - d + 17. Let k(m) = 54*m - 211. Let q be k(h). Let u(b) = b**3 - 5*b**2 + 4*b + 7. What is u(q)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdfli. What is prob of sequence lfi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 93*t + 362. Let a be w(-4). Let v(n) be the second derivative of n**5\/20 - n**4\/2 + n**3\/3 + 3*n**2\/2 + n. Let s be v(a). Is s equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 65 + 3*o - 45 - 60 + 17*o. Let l be a(11). Is l != 180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x + 91*x - 4 - 46*x.\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13904)\/2464)\/79*((-7)\/3)\/(10\/(-3))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133805685?\nAnswer: 3, 5, 29, 41, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/24 - 18*o**2 + 6. Let m(t) be the second derivative of -5*t**3\/6 - 2*t. Give y(m(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 3.7 (c) 958\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2))**26*i**6\/(i\/i**6*i)*((i\/(i\/(i**(1\/15)\/i)))\/((i\/((i**(-2)\/i*i)\/i))\/i))**46 assuming i is positive.\nAnswer: i**(-2954\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 44824764?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 1. Let p(b) = -14*b + 21. Let z(c) = -2*c + 38. Let d be z(17). Suppose -3*v + 12 = 0, d*r + 2*v - 18 = 74. What is r*y(x) + p(x)?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 866*s + 865*s + 10 = 0, 0 = -4*h - s + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, -3\/16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*s**6 + 1566*s**5 + 2*s**2 + 318*s - 3259 wrt s?\nAnswer: 2160*s**3 + 93960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -414 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7131030 + -4?\nAnswer: 7131024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1095319, -1095283, -1095237, -1095175, -1095091, -1094979?\nAnswer: -1094833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + (-130)\/(-6). Let r(a) = -171*a - 3. Let n(z) = 14*z. Let t(v) = 12*n(v) + r(v). Let j(q) = -16*q - 15. Determine x*t(s) - 4*j(s).\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3241 + -2332?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*a**5 + 68*a**4 + 6*a + 689 wrt a.\nAnswer: 3040*a**3 + 816*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37230 - -37227. Is -1029 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 19. Calculate the least common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -29*h - 14. What is the units digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let i be h(-4). Suppose 0 = f - i*f + 24. Suppose -5*w + 5 = -3*y + f, -2*w - 6 = -2*y. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546919 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 123*f - 2. Let n be q(-6). Is (-1)\/3 + (-10)\/15*n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 - 9*p + 943 - 472.\nAnswer: -9*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68797*v**3 + 57759*v?\nAnswer: -412782*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -254381 and 8.\nAnswer: -2035048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let o(r) be the first derivative of 2*r**2 + 43*r - 2655. What is j(o(v))?\nAnswer: 16*v**2 + 344*v + 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 1. Let f be p(5). Let d be 2 + f*3\/(-12). Solve 3*n = -x - 3, d*n = -0*x - 2*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10469, 2, -7, 20 in ascending order.\nAnswer: -7, 2, 20, 10469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 31. Suppose -11370 = y*g + 3*x, -4*g - 15160 = 5*x - 10*x. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*j - 12 = 2*s, s - j = 5. Suppose z + 2*w + s = 2*z, -5*w + 5 = 0. Find the first derivative of -12*n**3 - 25 + 17*n**z + 27*n**3 wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/414 and -79\/30073098.\nAnswer: 90219294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 1. Let c(n) = n**2 - 1. Let b(j) = -a(j) + 2*c(j). Let y(q) be the first derivative of b(q). Let z(u) = -u + 1. Let p be z(5). Calculate y(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -67, -1, 1\/5, -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g + 2. Let x be (1\/2)\/(g\/68399992). Suppose 5*i - 4*i - 11399998 = -2*l, -i + x = 3*l. Round l to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 645*j**2 + 2248*j**6 - 461*j**2 - 2*j + 574*j**2 - 2*j + 2*j**3 + 2*j wrt j.\nAnswer: 269760*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 times -14.62?\nAnswer: 2529.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 27*y - 4. Let c be l(1). Suppose 37 = 20*d - c. Solve 6*k - d*k = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -352919, -705834, -1058747, -1411658, -1764567, -2117474, -2470379?\n\"Answer: q**2 - 352918*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2 - -34) + (11 - (-7 - (-47 + 20)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 b when three letters picked without replacement from {b: 1, s: 2, n: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2 + n - 1 - 7*n. Suppose 10 = 6*m - 11*m. What is o(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 21*j - 32. Let b be 1*j + (13 - (-1 - -6)). Solve -3*c + 23 = -b*s, 13 = s - 3*s + 3*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-10)\/(-9)*12\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a factor of 4790275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15)*v*v)\/(v*v**22\/v)*(v\/v**9*v)**(-14) assuming v is positive.\nAnswer: v**(1168\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 - 13 = 0. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 247 + -232 - (5 + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77) + sqrt(77)*-3*5)*4)\/((sqrt(55) - sqrt(495)\/(-1*sqrt(9)))\/(sqrt(40)\/sqrt(32))).\nAnswer: 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n - 14. Let o = n + 31. Let s = 32 - o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z - 5 - 15 - 3*z. Let u be (2 + 2)*(-1 + 20\/8). Is o(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 20. Calculate the highest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 11*q + 11. Let o be i(6). Suppose -r + 2*r - 3*a + 11 = 0, -22 = o*r - 4*a. Let g(f) = -2*f**3 - f - 2. Give g(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 13*y**2 - 4*y - 11. What is h(13)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1117 plus -13?\nAnswer: -12.8883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 21 + (-7 + 4)\/3. Let f(h) = -2*h + 54. Let v be f(x). What is the highest common divisor of v and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -14*w + 3*w + 0*w + 47 - 7*w. Is f(-14) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -2, 1, -10, -21 in increasing order.\nAnswer: -21, -10, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t - t)*(-2 - 2*t**3 + 2) - 307*t**4 + 5*t**3 + 3*t**3 - 5*t**4 - 8*t**3.\nAnswer: -304*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11811 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgggcwc. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-62)\/72 + (-39)\/(-52)). What are the prime factors of 135 + (l\/36)\/(6\/16)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -15. Which is bigger: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2226*y + 0 + 2312*y - 2)*(-4*y + 3*y - y) to r + k*y + f*y**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*u + 21 + 31 = -98*u. Solve 2*q = -u*c + 12, 16*c - 14*c - 14 = 3*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 + 5*p**2 + 2*p + 6. Let h(f) = -f**3 - f - 1. Let s(v) = -5*h(v) - y(v). List the prime factors of s(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1200 and 963150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 + 571. Find the second derivative of -268*m + 18*m**4 + j*m + 22*m**4 wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.3 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t. Let o(h) = -h. What is f(o(y))?\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375059?\nAnswer: 375059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 29*x - 276. Solve 0 = -3*j - j + x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 1, q: 3, g: 4}. Give prob of picking 3 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413123?\nAnswer: 3, 471041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291824504?\nAnswer: 2, 47, 503, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 16, -93632 in descending order.\nAnswer: 16, 3, 2, -93632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 4, r: 2}. Give prob of sequence iir.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - (-106)\/6. Let k be 4\/l + 464\/18. Suppose 8 - k = -h. Solve -h = -4*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10841363 is divided by 516255.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + z**3 + 1)*(1 + 1 - 3)*(4*z - 5*z + 2*z) as v*z**4 + l*z**2 + w*z**3 + j*z + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8580)\/220*(-2)\/6. Let c(n) be the second derivative of -1\/3*n**3 + 0 + p*n - 1\/12*n**4 + 3\/2*n**2. Factor c(i).\nAnswer: -(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*-6*1*sqrt(343)*-1*-3.\nAnswer: -126*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -633 + 629. Which is the closest to -1? (a) 5 (b) y (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38825940 - -27699440. Round q to the nearest 100000.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2603 = -3*h - 2594 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:48 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 + 2*r + 3. Suppose 0 = -6*f + f + 45. Let s be 3\/6 + (f\/6 - -2). Give p(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598742583 to the power of 1\/2, to the nearest integer?\nAnswer: 39984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 10. Suppose -3*b - 11 = -5*l, -3*b - 13 = -l - 3*l. Let j be d(b). Suppose n = j*r + 8, -n - 2*r = n. What is the smallest value in n, -5, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1722, -1732, -1748, -1770?\n\"Answer: -3*b**2 - b - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:23 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9933.1 - -9934. Which is the second smallest value? (a) 1 (b) 4 (c) 7 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-880)\/(-28) + (-8)\/(-14). What is the highest common factor of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58799 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4217, 33733, 113851, 269873, 527101, 910837, 1446383?\nAnswer: 2159041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 15*y - 7*y.\nAnswer: -22*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(10\/4) - 36226. Let t = b + 182652\/5. Let q = t - 307. What is the common denominator of -111\/10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92754, 185514, 278262, 370992, 463698, 556374, 649014?\n\"Answer: -y**3 + 92767*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/(-14) + 2\/14. Suppose -s*l = -5 - 3, -n + l = 22. Let x = 129 - n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*b**5 - 3\/4*b**3 + 13\/2*b + 13\/4*b**4 + 0 - 37\/4*b**2 = 0. What is b?\nAnswer: -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 468\/108 + 4\/6 + -1. Let g(f) = f - 7. Let k be (11\/(-2))\/(1\/(-2)). Let j be g(k). Solve -j*t + m = 2*c + c, t - 5*c = 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 471 + d21?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1083 + 2546114480.4.\nAnswer: 2546113397.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.3534 - 25.3. Let j = -0.4764 + y. What is j rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 2*g. Sort g, 4, 2 in increasing order.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/42 - s**4\/7 + 4*s**3\/21 - 5*s**2. Let q(g) = 0. What is g?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.7734 seconds to microseconds.\nAnswer: 456773400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37684, 75361, 113038, 150715, 188392, 226069?\n\"Answer: 37677*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 933141863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:31 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-85 - -4)\/9)\/(1\/(-17)). Calculate the highest common factor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -i + 124. Suppose 5*u = -5*s + 610, i*s + 5*u - 32 = 336. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -9*l**3 + 5*l**2 + 5*l + 1. Let v(b) = 4*b**3 - 2*b**2 - 2*b. What is 2*a(i) + 5*v(i)?\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97549\/20 - -4873. What is the common denominator of 47\/(-7) + (-1)\/2 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -9 + (0 - 1) + 5 + 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17\/5 (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Let g(a) = -a**3 + a + 25. Does 10 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-4)*2*31. Suppose 3*c + 0*c - 30 = -7*a, 13 + 32 = -5*a. What is the highest common divisor of m and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23201 + -100330?\nAnswer: -11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 15) in base 3?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 1. Let k be (6\/(-9))\/((-3)\/9). What is the remainder when 14 is divided by u(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 884 = -5*a + 9*a, 4*a = 8. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:52 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 - 1. Determine f(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:52 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - -93694557?\nAnswer: 93694579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/105*(1 + 1\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 371 = m, -3*m + m - 362 = -4*k. Calculate the smallest common multiple of k and 207.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2\/3*d**3 + 0*d**2 + 6 + 0*d. Let r(x) = -2*x**2. What is y(r(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.9. Let v = -69.1 - -69.4. Which is the closest to v? (a) 2 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 13646 + 2952. Let h(m) = 3464*m**3 - m**2 + 6*m - 3. Let i be h(-6). Let x = l + i. Round x to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 920087\/50 - 18401. Find the common denominator of w and 95\/116.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96867137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16351386 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + t. Let z(c) = 82*c**3 + 2*c - 1. Let m(k) = -2*l(k) + z(k). Is 17 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2827, 0.07 in increasing order.\nAnswer: 0, 0.07, 2827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9355, 18634, 27913, 37192?\nAnswer: 46471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -1\/3, 0.05 in increasing order.\nAnswer: -5, -1\/3, 0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 294, 229, 138, 21, -122?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = i - 67 + 73, -i + 24 = -4*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -68. Let n = z - 1. Suppose -12 = -l - r, 7*r = -2*l + 2*r + n. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-1)\/(-1 - ((-3222)\/806 + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255110 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -6 - -6) + 5 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20110.\nAnswer: 2, 5, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h - 3*k + 18, 2*h = -k + 10. Suppose -1929 = -c - 4*c - 4*t, h*c = 3*t + 1568. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 104, 339, 840, 1697, 3000, 4839?\n\"Answer: 15*d**3 - 2*d**2 - 40*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/40 (b) 483.952 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -104?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5042 - -6356. Calculate the remainder when f is divided by 189.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14300, 32591, 54866, 81125, 111368, 145595, 183806?\n\"Answer: 1992*m**2 + 12315*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 m, and 1 f when four letters picked without replacement from odfwxddxowdddmd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**2 - 4*x - x**3 + 4 - 4*x + 0*x. Let j be m(-8). Suppose j*k + 0*y - 20 = -4*y, k - 2*y - 11 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:13 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0 (c) 0.01 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105657308 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence livm when four letters picked without replacement from vvglmgigvvgvvingn?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -38. What is the remainder when a is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4967\/2298 - 2\/383. Find the common denominator of p and -7\/442.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27281316091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1206346\/45 - -26806. Find the common denominator of m and 131\/78.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65659 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4, 4*l = -0*l + 4*r + 808. Suppose q + 4*h = 146 + 54, 2*h = -q + l. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 20, 4 = 4*z - 3*n + 16. Suppose -4*w + 2 + 18 = z. Find the second derivative of -w*a + 2*a + a - 2*a**5 wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112977326*j + 22532995?\nAnswer: 112977326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 c when three letters picked without replacement from {c: 3, o: 2, p: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 - 180*g**2 - 171*g + 354 = 0.\nAnswer: -59, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.3, -1.2, -0.37, -4, 1 in descending order.\nAnswer: 1, 0.3, -0.37, -0.4, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10651400 and 56\/123822525.\nAnswer: 990580200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + t - t + (126*t**3 + 16898*t**2 - 16898*t**2 + (t**2 + 0*t + 0*t)*(t + 0*t + t) + 0*t**3 + 0*t**3 + 2*t**3)*(5 - 1 - 3).\nAnswer: 132*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6622699 and 0.2.\nAnswer: -1324539.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74174 is divided by 10286?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -390.1?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 33 + 212 = 14*z. Solve -3*d + 23 = 4*f, f + 0 = z*d - 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 0.37.\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2577 (b) -0.1 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 3\/7 (b) 6 (c) 1\/10 (d) -26 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99770.\nAnswer: 2, 5, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247*u - 55*u + 157*u - u**2)*(0 - 2 + 0).\nAnswer: 2*u**2 - 698*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 43) + 66 + -18 + -80?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -180, -242, -302, -360, -416, -470?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 71262096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -50. Let n be 1\/8*4 + b\/(-4). Solve -2*h + h - 4 = n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -15. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 803196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -57*i + 177. Let k be m(3). Let f(s) = 2*s**2 - 9*s + 11. Determine f(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 77. Let i = 148 + t. Suppose 4*u - i = -26. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23405421 (base 6) in base 3?\nAnswer: -1101012100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*81\/54 - (41 + -6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -71*s**2\/2 - 83*s - 71. Differentiate o(d) wrt d.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 427*x**6 - 110*x**3 - 2*x**2 - 53877*x.\nAnswer: 51240*x**3 - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w + 5*w + 17 + 11. Let h be y(10). Solve 0 = -s - 4*m + h, -4*m - 6 = 4*s - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l + 11*l + 6*l)*(0 + 2 - 4).\nAnswer: -52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000222 (base 3) to base 10.\nAnswer: -1484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110893 is divided by 4010.\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5734346 (base 11) in base 2?\nAnswer: -100110010001111010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9297 + 7?\nAnswer: -9290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + 25. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331888803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*4\/(-4) + 4. Suppose -b*h = 0, -3*h = -p - 2*h + 4. Calculate the smallest common multiple of 14 and -3 + (27 - 4 - p).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -3 - (sqrt(2) + -5 + sqrt(4)\/sqrt(2))) + 4 + (sqrt(200) + -1*sqrt(200) + -3 - sqrt(200)))**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180620 - -412360. What is o rounded to the nearest one thousand?\nAnswer: 232000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350839.\nAnswer: 79, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/95, -4\/7, 2?\nAnswer: -6\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34 - 6 - 2)*(2*s - 5*s + s)*(3 - 3*s**2 - 7*s + 19*s - 10*s) to z + x*s + f*s**3 + q*s**2 and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 4:39 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 18, 37, 2.\nAnswer: -3, 1, 2, 18, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*l**4 + 73*l**3 - 143*l**2 + 15?\nAnswer: -504*l + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -931 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1\/h)\/h)**(-22))**10 assuming h is positive.\nAnswer: h**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrfr when four letters picked without replacement from rjrfrrfrrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4099228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1781\/351 + 17 - 22?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -15*h + 48, -3*h + s - 340 + 356 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 0, 3*h - 5*i + 16 = 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -127, -505, -1133, -2011, -3139?\n\"Answer: -125*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 2, b: 1}. Give prob of picking 2 m and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - 10 - (-17 + 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10324208 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: Simplify 3 + (sqrt(40) + -1*sqrt(1960))\/(6*sqrt(16)\/sqrt(2)) - (5*(-4 + sqrt(245) + 1 - (sqrt(245) + 1 + sqrt(245) + -5 + sqrt(245))))**2.\nAnswer: -24522 + 699*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -7. What is the remainder when 38 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:45 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*b + 2*b. Let w(q) = b + q - 7*q - 3*q. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 22 + 6)*(5*i + 1 - 1)*(-28 - 30 - 2) in the form c*i + s and give c.\nAnswer: -9900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -97. Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/14520 and -81\/9925300.\nAnswer: 655069800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -0.4 (b) 0 (c) -3 (d) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 - 42*g**2 + 77*g**2 + 77*g**3.\nAnswer: 77*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n = -7591 + 8396 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 - 4*l - 3. Let t be a(-2). Suppose t*q + r - 56 = 44, -r = 3*q - 62. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289845 by 57.\nAnswer: 5085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001506552575 to 7 dps.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -5*n**6\/2 - 2*n**3\/3 + 14. Find the third derivative of b(r) wrt r.\nAnswer: -900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308 + -400?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkxkkkxxhksss. Give prob of picking 1 h and 2 s.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 16 = -c. Let b(k) = -5*k - 5. Let n be b(c). Suppose -n*w + 8*w = -84. Which is smaller: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2409, 2198, 2003, 1818, 1637, 1454, 1263?\n\"Answer: -d**3 + 14*d**2 - 246*d + 2642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - 2*h + 3*h - 2 + 3 as r*h**4 + p*h + u + w*h**2 + i*h**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197069429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 159 = 5*d + 19, -5*z = -5*d + 140. Suppose 3*u + 2*m - 281 = 0, d = u + m - 64. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*k + 15, 4*w + 14 = -3*k + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-216 + 207 + 0 + 0)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3452147us in days?\nAnswer: 0.00000000011973628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrilmrlllrii. What is prob of sequence ri?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27931 is divided by 1429?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-317)\/(-21) + (-124)\/1302.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z**(-1\/4)*z))\/z)\/z**(-4))**(-7\/4)*((z**(2\/7)\/z)**9)**(-1\/43) assuming z is positive.\nAnswer: z**(-26671\/4816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 5035797 and -7278998.\nAnswer: -2243201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + q + 2*q)*(2 + q - 2)*(36 + 33 + 1).\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 5*y + 20, 0 = 2*m + m - 5*y + 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 - (8 + -5 - 8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 24 = -4*z, -5*t = z + 7 - 33 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2. Let x(w) = -43468939*w. What is n(x(t))?\nAnswer: 5668645973357163*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-238)\/(-49) + -8.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -209, -194, -21, 430, 1279, 2646, 4651?\n\"Answer: 20*f**3 - 41*f**2 - 2*f - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7023527307?\nAnswer: 3, 31, 577, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76a17 (base 13) in base 9?\nAnswer: 356607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*i**3*s + d*i**3 + d*k**2*s - 7*d*k*s + 2*i**3*k**2 + 12*i**3 + 2*i*s wrt d?\nAnswer: i**3*s + i**3 + k**2*s - 7*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9771 + 0.2\nAnswer: -9770.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*y + 5*q - 355, 0 = 3*y - 4*q - 515. List the prime factors of y.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 64710*n + 8054792 = 0 for n.\nAnswer: -124, 32479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3 + -1 + -1. Let a = -7.2 - -1.2. Let w = -10 - a. What is the closest to 1 in d, w, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-14 - -2 - (7 - 11))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42\/15*9\/(-14)*(-20)\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 412, 468, 536, 610, 684, 752, 808?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009693 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -58, 14.1, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 21*t**2 - 134*t + 1043. What is z(10)?\nAnswer: 1803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n + 2. Let c be l(5). Suppose 3*w = -0*w + c. What is the greatest common divisor of w and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(6)\/sqrt(2))**2*-5)*-4.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34826880 by -102.\nAnswer: 341440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 236268.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 242\/7963?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 + 2*y**3 + 5*y**2\/2 + y + 9. Give b(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14033 - 2*y**2 + 7035 + 7027 - 3*y**2 + 4*y**3 as s*y**3 + i*y + f*y**2 + x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)\/y**(1\/5))**(4\/7)\/((y**2)**(2\/47))**(-1\/2) assuming y is positive.\nAnswer: y**(-1293\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 3. Let q be t(7). Let c(s) be the first derivative of 6*s**2 - 2 - 7*s**2 + 0*s**2 - 6*s. Calculate c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1000, 2009, 3022, 4039, 5060, 6085, 7114?\n\"Answer: 2*u**2 + 1003*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -60+-732596606\nAnswer: -732596666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 18*l - 2. Determine x(20).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 70\/179, -5, 3\/5, -0.4, -0.04 in increasing order.\nAnswer: -5, -0.4, -0.04, 70\/179, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 12. Suppose -10*a + d - 280 = -14*a, -9*d = -36. What is the remainder when a is divided by i(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -92*u**3 + 541*u**2 + 5*u - 38. Calculate s(6).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*n = -4, 0*s - s - n - 4 = 0. Let i be (32\/(-40))\/(2\/10). Let k be 5\/75 - i\/(-10). Which is the third smallest value? (a) s (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61015566 divided by -2811\nAnswer: 21706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 + 6*p**2 + 2*p + 51 + 43 in the form r*p + t*p**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63173, 505476, 1706057, 4044056, 7898613, 13648868?\n\"Answer: 63190*g**3 - g**2 - 24*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 130, 5, -8, -1\/6, -3.3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -30332 (base 7) to base 3\nAnswer: -101010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 13 = x, x + 2*w = 4*x - 15. Suppose 4*c = 3 - x, b + 3*c = 0. Suppose -2*q = m - 9, -b*q + 16 = -2*m + 6*m. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 45*x**2 + 15923*x - 2473. What is g(-354)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = 5*l - 29, -5*a + l = -5. Suppose -3*y + 147 = 2*q - 93, a*q = -y + 244. Which is greater: 124 or q?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (1 + 0)*-1. Let d = -0.11 - -0.03. Let s = 1.08 + d. Is s <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**2*v**6 + 5277*a**2 - 237*a*v**2 - 49983*v**6 - 18*v**2 wrt v?\nAnswer: -480*a**2*v**3 - 5997960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {u: 1, l: 2, w: 1, f: 4, a: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + h + 1. Let o(g) = -23*g + 47. Calculate the least common multiple of o(2) and j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303301 - 1?\nAnswer: -303302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1311 + 0?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8879, 17758, 26637, 35516?\nAnswer: 44395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2439*f**2 - 2*f**3 - 2439*f**2 + 4878*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183.5 - 184. Let r = 9 - 10. Put v, r, -0.01 in descending order.\nAnswer: -0.01, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128.62 - 128.6208037. What is t rounded to five decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n**2 - 1 + 4*n + n**3 - 10 - 17*n + 1. What is the units digit of a(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by -703458\nAnswer: 121\/351729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126*n - 10*n**2 + 126*n - 3)*(4*n**2 + n**2 - 4*n**2).\nAnswer: -10*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 430439941*g*n*x - 99*n*x + 3*n + 5*x + 1947 with respect to g.\nAnswer: 430439941*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -152+15683\nAnswer: 15531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 390*t - 3105. Let c be i(8). Solve 0 = -3*w + 3*h + c, 24 = -3*w - h + 31 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 356, 650, 1062?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -364 - 8446?\nAnswer: -8821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/4, -62 in decreasing order.\nAnswer: 1\/4, -2\/5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000319479 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -71. Let r = s - -34.03. Do r and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l + 33. Let h be j(13). Find the common denominator of h\/6*2\/((-30)\/5) and ((-11)\/2)\/(5\/3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ljnjjjjlnllj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*b)*(1 - 4 + 5) + (-5 + 4 + 0)*(4*b - 5*b + 3*b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 - -162. What is the least common multiple of h and 128?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -71. Let j = -18 - t. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2351*q = -2349*q + f - 782604, -4*q = 3*f - 1565210. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 70, 147, 278, 481?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (5 - 1) - 29 - (-24 - (-20 + 6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 a factor of 523430023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 41*d + 10. Is 77 a factor of z(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1728) + sqrt(1728)*-2 - sqrt(1728)) + sqrt(1728) + (sqrt(1200) - 1*sqrt(1200)) + sqrt(12))\/((sqrt(512) + -2*sqrt(512))\/(2*sqrt(1152))))**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 8, 10, 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 112 in 1, 9, 2\/7, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) 0.6 (c) 5 (d) 0 (e) 366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15066 + -15051. Let y(k) = -10*k. Calculate the least common multiple of y(-4) and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252504 and 252504.\nAnswer: 252504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5 - 1195*q**4 + 24585*q**3 + 80935*q**2 + 83330*q + 28176 = 0?\nAnswer: -1, 24, 1174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 + -189. Is 26 a factor of 5 + (q - 4) + 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**6\/30 + 7*i**5\/4 + 223*i. Factor h(y).\nAnswer: -y**3*(y - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 42*c**5 + c**4\/12 - 8*c**2 + 58*c - 9. What is the third derivative of y(f) wrt f?\nAnswer: 5040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-2)\/4*2. Let i be (-45)\/(-75) + (-22)\/20. What is the nearest to 1 in v, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -1774 (c) -51 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20919.7 - -20919. Which is the fifth smallest value? (a) -1 (b) -21 (c) -0.2 (d) -4 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3120*x - 618*x + 225180 for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**3 - u**2 - u - 5. Let j be s(4). Is -729 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**7\/420 - i**5\/120 + i**4\/24 - i**3\/3 - 4*i**2. Let l(h) be the first derivative of n(h). Give l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 17*w\/3 - 14.\nAnswer: (w - 2)*(2*w + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 731014, 2923983, 6578940, 11695891, 18274842?\n\"Answer: u**3 + 730988*u**2 - 2*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - s**2 + s + 3. Let z be j(-2). Solve 2*o - 16 = -5*x, -3*x + z = -2*o - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0*k + 3*k - 4*k + 9*k + 12 - 4*k**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43885 and 61439?\nAnswer: 307195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5835 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 4*q + 6, 5*l - 30 = 2*q. Calculate the remainder when (-1 - (-16)\/(-2))*-1 is divided by 160\/35 + l\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4117560 to the nearest one thousand.\nAnswer: -4118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.9 and -0.5?\nAnswer: 8.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203313323 (base 5) in base 16?\nAnswer: ccbbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, s: 1, d: 3}. Give prob of picking 2 x, 1 s, and 1 d.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -405 + -4?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + 0 - (-16 + 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*4788\/189 - 3*30\/(-9)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2) - (-18 + 19). Suppose s = 7*h - 12*h + 10. Let a(d) = 85 - h*d + 3*d - 96. Give a(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*p - 218, 3*p + 2*p - 322 = -3*y. Suppose 0 = 5*q, -5*c - 5*q = -c - 40. Calculate the remainder when y is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42327568?\nAnswer: 2, 79, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let s = -5 + v. Put s, -5, 1 in ascending order.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -5*d - 9, 4*i - 12 = 2*d. Let g(u) = -21*u + 323. Let q be g(15). What is the highest common factor of q and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 98 + 42*p**3 - 41*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-105))\/(6\/14)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 34 = -3*h + 392, 446 = 5*i + 3*h. Does 44 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/66*3*2\/2. What is the second biggest value in -5, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24380415 is divided by 318.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 2401*f**2 - 8*f**3 + 285*f**2.\nAnswer: -4*f**3 + 2686*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Suppose -10 = 5*h, 3 = -m - h - 2. Let g be p*-1*m\/27. Which is the nearest to -0.2? (a) g (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1861 + -35361\/19. Let w = 1 - 0.5. What is the nearest to 4\/3 in 0.3, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/10 - a**4\/2 + 13*a**3\/2 - 7*a + 3. Find the second derivative of o(q) wrt q.\nAnswer: -12*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1. Let v(a) = -8*a + 4. Let j(n) = -2*r(n) - v(n). Let b be j(2). Let q be 0\/1 - (-6)\/b. Sort q, -0.2, -2\/13 in ascending order.\nAnswer: -0.2, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/220)\/(96\/(-160))*(-8)\/162\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 = 4. Suppose -7*m + 208 = -g*m. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 110*w - 8. Does 24 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/20 + 7*n**4\/8 - 19*n**3\/6 + 52*n**2. Let p be s(6). Let l(j) = 14*j**3. What is l(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009337 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2523 + -2539. What is the second smallest value in 0, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130 - -279 - 139) + -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5528, 2, 9, 46 in decreasing order.\nAnswer: 5528, 46, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 15, 3*i - j - 5 = j. Suppose -4*m = -5*s - 1, i*s - 4*m + 22 = 7*s. Suppose -35*v = -34*v - s. Solve v*c + 6 = -5*b, -c = 4*b + 1 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23121*f**3*l**2 - 24*f**3*l*p + l**2*p + 2037*l**2 - 5*l*p + 8*p - 1 wrt f.\nAnswer: 69363*f**2*l**2 - 72*f**2*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1605*f - 3607*f + 1072*f = -414000 for f.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.03 + 2.033324. Round i to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/4)\/1)\/((-4)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24024 + 33024 = 29*i + 13171. What is the greatest common divisor of i and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20615)\/38)\/(-31))\/((315\/(-108))\/7).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693910 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 327, 700, 1221, 1896, 2731?\nAnswer: 3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -145 in -35, -1, -3, -15?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 46\/3*y**3 + 130\/3*y**2 + 28*y = 0. What is y?\nAnswer: -42\/23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58323092593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -b. Let o(n) = 8 - 3*n + n**3 - 18 + 14 + 4*n**2 + 4*n. Let i be o(-4). Is b <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/1000)\/(10590\/1765)\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -405, -1603, -3601, -6399, -9997?\n\"Answer: -400*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/(-25))\/(3\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 divided by 3499?\nAnswer: 136\/3499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 - 166. Let s = 263 - w. Suppose 5*l - 4*l - s = -4*m, 3*m - 2*l = 98. Solve -3*a = -5*n - m, 3*a + n - 7 = 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4*3*102\/(-306))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*d - 42*d - 10. Let r(v) = -49*v + 2. Is r(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(405)\/(sqrt(81)*-3 - sqrt(9) - sqrt(9)) + 3 + ((1 + sqrt(180)\/sqrt(4))**2 + sqrt(45) - sqrt(45)))*-6.\nAnswer: -294 - 378*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q - 232. Let v be k(0). Let j be v\/(-12)*6*1. Calculate the smallest common multiple of j\/14 + (-2)\/7 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (522 - 1836 + 519 + 438)*(5*w**2 + 7*w - 7*w).\nAnswer: -1785*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*k + 110*k**2 - 3663 + 3663 wrt k.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (645\/(-60))\/((-1)\/8). Let j = 96 + q. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 61 (b) -0.2 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 64*t - 521. Calculate p(57).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1148\/(-574)*(3\/4)\/((-5)\/(2150\/(-15)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12315*d*g**5 + 14*d + 2*g + 86 wrt g?\nAnswer: -246300*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3388 and 1672132?\nAnswer: 18393452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317644106 to the power of 1\/2, to the nearest integer?\nAnswer: 48142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-121))\/(75\/(-100)). Is 0 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.116 (b) 3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53224 (base 6) in base 5?\nAnswer: 212331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-44) + 156\/(-11). Let n = -6 - u. Solve -3*f = -f - n, 4*q = 2*f + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 10*z**4 - 2*z**3 - 39 - 4*z**4 in the form s + a*z**2 + d*z**3 + o*z**4 + u*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 + t**2 + 4*t + 4. Let a(q) = -5*q**3 - 2*q**2 - 3*q - 3. Determine 4*a(d) + 3*c(d).\nAnswer: -2*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5424021 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98644 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0 + 80. Suppose -9*q + t*q = 784. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 10.9.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 2*m**2 + 2*m + 7. Let g(s) = -s**3 + s**2 - s - 7. Let y(f) = -6*g(f) - 5*k(f). What are the prime factors of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/308187 and 104\/700425.\nAnswer: 7704675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*u**2)*(1 + 0 + 1) + (-2931 - 2454 - 1004)*(u**2 + 0*u + 0*u).\nAnswer: -6393*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -2405, -5960, -10969, -17450, -25421?\nAnswer: -34900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*z = -3*y + 14, -5*y - 2*z = -50. Suppose 0 = -b + 4*t + 15, -2*b + 3*t = b - 18. Suppose b*v = 36 - y. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1450 - 62 = -2*x + 2*n, -5*x + n - 3482 = 0. Let m = -284 - x. What are the prime factors of m\/21 - (-4)\/3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61657820, -61657821, -61657824, -61657829, -61657836, -61657845?\n\"Answer: -c**2 + 2*c - 61657821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 88. Let u(y) = 2*y - 1. Let a be u(h). Suppose -2*n + 2*t + 1345 = t, -a*n + 2028 = 2*t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1003673898*b**2 + 1060*b + 128263 wrt b.\nAnswer: -2007347796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 + 5. Let s be p(-6). Put 1, 4, s in ascending order.\nAnswer: 1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, 4, -4, 1, 13, -101 in descending order.\nAnswer: 15, 13, 4, 2, 1, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5853\/2821 + 65\/31. Suppose -5*s = 2*m - 3, -6*s - 2 = -11*s - 3*m. Let j be (s - -4) + -4 - 1. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 5*p + 12 = 39*r - 8, 0 = 4*r - 5*p + 44 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**2*o*o*o))**41)**(-8\/5) assuming o is positive.\nAnswer: o**(984\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/25 - (-12)\/80 - 21\/(-4). What is the closest to 4.3 in a, -15, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, c: 4, d: 2}. What is prob of picking 2 d and 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 737259863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 223, 0, -3\/13, -219, -1 in increasing order.\nAnswer: -219, -1, -3\/13, 0, 4, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6854? (a) 0.5 (b) 0 (c) -1\/5 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12986.88600016 + 12985.626. Let u = -1.26 - w. Round u to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*h - 2, 24 = 2*i + 3*h. Let m(y) = -2*y + 1. Give m(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.47728 + -1.5241. Round t to 3 dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-48)*((-14476)\/(-1645) + (-7*1 - -1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 608868 and 13962?\nAnswer: 108987372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69101 divided by 6.\nAnswer: -69101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/5))\/k**(-11\/4)*k**(2\/3)*k**(5\/4) assuming k is positive.\nAnswer: k**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -63, -78, -73, -42, 21, 122, 267?\n\"Answer: z**3 + z**2 - 39*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51930397*l**3*m**2 - 5720258*l**3*m - 10*l**3 + 2*l**2*m**2 wrt m.\nAnswer: 103860794*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*(-4)\/6)\/((-96)\/(-36)))\/(25650\/262200)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(1 + 1\/(-2) + -1). List the prime factors of w\/3*-3 - -111.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -178, -250, -322, -394, -466?\n\"Answer: -72*w - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1172487256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173171065?\nAnswer: 5, 101, 139, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {m: 3, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 10*l + 1. Let m(y) = -y**2 + 30*y + 103. Let d be m(33). Let k(i) = 5*i**2 + 10*i - 4. Let f(p) = d*a(p) + 3*k(p). What is f(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:23 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-48)*-2 - (-5)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**4 - 9*i**4 + 24*i**4)*(3 - 5 + 1)*(i + 2*i - 6*i).\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23533*-480.\nAnswer: 112.9584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -118871544 divided by -156616\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 7\/11792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*s = -9 - 5, 3*g - 2*s - 21 = 0. Suppose g = 11*k - 4. Suppose -w + k = 4*d, -d - 3*w = -3*d - 17. Is d less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15) - ((-10)\/(-3))\/(-1). What is the closest to 0 in -1\/24, u, -1\/8?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -4.8. What is the third biggest value in -4, 0.5, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 2*z - 82 = 7*v, -5*z = -20. Let t(y) = 29*y**2 - 3*y. Let u be t(-3). Calculate the highest common factor of u and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184531*z**2 - 1184531*z**2 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 219718.3058 and -4.\nAnswer: 219714.3058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 494, 745?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - u**2 + u**2 + (3 - u - 3)*(u - 3*u + 0*u) + u**2 - 1 + 1 - 7*u**2 + 4*u**2 + 2*u**2 to the form g*u**2 + v + h*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 6541\/(-217) - 26\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvv when four letters picked without replacement from vvnvvtnvn?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 + 0*x**2)*(193*x**2 + 623*x**2 - 3111*x**2 - 3535*x**2 - 2799*x**2).\nAnswer: -8629*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 434, 436, 438, 440, 442?\n\"Answer: 2*z + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - 2*j + 2*j - 4 + 4 + (0 - 4 + 1)*(3*j - 2*j + 0*j) + 2 - 2 - j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -13*r**4\/4 - 2*r**3\/3 - 6675*r**2 - 6897. Find the second derivative of q(t) wrt t.\nAnswer: -78*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 + -41 + 7 - -3) + (-15 - -9)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 569 - 309. Let o = a + -261. Put -4, o, -6\/7, -0.1 in increasing order.\nAnswer: -4, o, -6\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3887023 - 132.\nAnswer: -131.6112977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009121 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 + 8*n + 22. Let v be u(-3). Let b be (2\/v)\/(-1) - (-13)\/13. Solve 7 = b*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58341599?\nAnswer: 58341599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23651, 23659, 23659, 23645, 23611, 23551?\n\"Answer: -q**3 + 2*q**2 + 9*q + 23641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169129966 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1997.31956 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3018 + -54433\/18. Calculate the common denominator of -42\/5 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 91*k**2 - 47*k + 46. What is l(46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**3 + 12 + 7*q**3 - 2*q**3 - q**3 wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 - 5*y - 9*y - y**5 + 18*y + (-8 + 8 - 3*y)*(0*y**4 + y**4 - 2*y**4).\nAnswer: 2*y**5 - 3*y**4 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6702979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 2*t**6\/45 - t**5\/120 - 7*t**3\/3 + 5*t. Let x(z) be the second derivative of m(z). Is x(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261.960925 rounded to the nearest 10?\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26598, -106237, -238974, -424809, -663742?\nAnswer: -955773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -18*j + 1465. Calculate the lowest common multiple of c(80) and 835.\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**2 + 0 + 1\/6*q**3 - 16*q + 1\/12*q**4. Let l be y(0). Put l, 0, -1, -4 in increasing order.\nAnswer: -4, l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -3 - (0 + -2)) + (97 - 33) + -39.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 140*t - 1795. Let j be u(13). Solve -50 = 5*w - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w = 27*w + 4. Let y(b) = 4 - 7 + w*b + 6*b - 2*b. Suppose 0 = 232*j - 237*j + 15. Calculate y(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -f + 3*y, 24406*y - 24416*y + 145 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 20. Solve 0 = u + k - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 - 4 - 1 + 10*u**2 - 5. Let x(b) = -20*b**2 + 19. Let p(t) = 9*v(t) + 4*x(t). Differentiate p(z) with respect to z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1459914397 to the nearest integer?\nAnswer: 38209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/42*(-14)\/(-2). Suppose -3 - u = -5*d. Let b(q) = q**3 - 4*q**2 + 2*q - 1. Let x be b(d). Sort 5, x, -11.\nAnswer: -11, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8848 divide 86099888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15062.299 and 1.\nAnswer: -15062.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1210*r - 29. Let q be z(3). Suppose 0 = 14*u - 4995 - q. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -0.09. Which is the closest to j? (a) -2\/13 (b) 2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104431615*l - 169197547*l - 154786197*l.\nAnswer: -219552129*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2264768541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 - 227. Solve k*f + 8 = -16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(8 - (-216)\/(-30)). Sort -4, l, -6 in decreasing order.\nAnswer: l, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*((sqrt(156)\/sqrt(54) - sqrt(26)) + sqrt(26)))\/(-5*sqrt(2)*-3 - (sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2)*3))).\nAnswer: 5*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h. Let v(y) = -6*y + 5*y + 2*y. Give c(v(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7636 - 137329\/18. Find the common denominator of -19\/9 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*m + 368*m = 130*m + 3240 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13833 or 13829?\nAnswer: 13829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*w + 119, 3*w - 2371 + 2392 = 0. Is o smaller than -20\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 5.\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/7))**7*((s**1*s*s)\/s)**(-48) assuming s is positive.\nAnswer: s**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*o - 212*o + 2483*o + 4287*o.\nAnswer: 5191*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w**3 - 8*w**2 - 13*w - 2. Calculate the remainder when 155\/4 - (-2)\/8 is divided by k(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679532165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -91*j**3 - 11*j**2 + 16*j. Let m(d) = 18*d**3 + 2*d**2 - 3*d. Let s = 8292 - 8303. Calculate s*m(y) - 2*q(y).\nAnswer: -16*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3154.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3*5\/15). Sort r, -3, -5 in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -131.643 and 77321.\nAnswer: 77189.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 360*f**4 - 16*f**2 + 10294.\nAnswer: 1440*f**3 - 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 3*q**2 + 3*q**2 + 0*q + 0*q + q**3 - 2*q**3 + 4*q**3 - q**3 + (0*q**2 - q**2 - q**2)*(2 - 2 - q) + q**3 - 2*q**3 + 0*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 129?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.122 - 13.1. Let z = h + -15.122. Round z to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(19) - 3*sqrt(684)).\nAnswer: -340*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**5\/2 - 20*y**4 + 274*y**3 - 1477*y**2 + 5595*y\/2 - 1575 = 0?\nAnswer: 1, 2, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -158474?\nAnswer: -2218636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 297, 319?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-22\/3))**(2\/119) assuming m is positive.\nAnswer: m**(-44\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*w + 44 = -2*w, 5*w + 58 = 3*x. Calculate the remainder when 79 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvaaaapxpappa. What is prob of picking 2 x and 2 p?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 136 = -16. Find the common denominator of (l\/(-35))\/((-88)\/266) and -67\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 12*v**3 - 8*v**2 + 48*v - 32.\nAnswer: 4*(v - 2)**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/(-248)*32\/(-42) - 1870\/(-3150)*1?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-20 + 1 - -1). What is the highest common divisor of 100 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2109, -2107, -2105, -2103, -2101, -2099?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5575*n + 926*n**3 - 5575*n)*(-2 + 1 + 4)*(3 + 0 - 2) to a*n**2 + m*n + i + f*n**3 and give f.\nAnswer: 2778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(25\/(-5)) - 0. Let a(s) = s**3 - 3*s**2 + 6*s. Let v be a(5). Suppose -n*f - v = -323. What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1565*o + 8019 = 1646*o. Calculate the remainder when o is divided by (2\/(-4))\/((-2)\/172).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/(4\/24). Suppose -9*r + 10 + 62 = 0. Calculate the greatest common divisor of x and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 - 6*o - 5. Let k be v(-4). Let r be -1*(k + -5 + 3). Let j = r + 11. What is the remainder when j is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.57 - 3.18. Let k = h + -0.39. Which is greater: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 937217, 937218, 937219, 937220?\nAnswer: 937221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980*f**2\/13 - 2946*f\/13 - 18\/13 = 0. What is f?\nAnswer: -3, -3\/490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 = -t, -8 = -12*i + 10*i. Let l(o) = -o**2 - 15*o - 14. Let k be l(t). Solve 3*a + 0*a + 15 = k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10 and -157\/4650.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*g**4 + g - 850 wrt g?\nAnswer: 136*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -59. Let z be 2 + k*(-154)\/(-6). Do z and 156 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m - 143. Determine h(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2298 - -12620. Suppose -6*t + 1922 = r. Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 z when three letters picked without replacement from {w: 1, f: 10, z: 2, x: 6, d: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-four fifths of a gram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(24)\/(sqrt(6)\/sqrt(2)) + (-2*sqrt(16)\/sqrt(2))**2)*2 - (sqrt(512) + 1*((sqrt(512) + -1)**2 + sqrt(512)) + -2)).\nAnswer: -1788 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-63) + (-4488)\/(-5236))\/(4\/30)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 5. Suppose -p = -5*p - o. Let i = 5 + p. Solve 5*t - i*t = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (-38 - -16) - -24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4953 - -26?\nAnswer: -4927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o - 16020 = 0. Let d = 51293\/16 + o. Calculate the common denominator of -7\/32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4186 - -1735?\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1163744 divided by 290936\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17*f**(-3)\/f assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - -4*91\/(-28). Calculate the remainder when 136 is divided by n\/14 + (-41)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52, 1, -18 in decreasing order.\nAnswer: 1, -1, -18, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(112)\/sqrt(4))**2*4 + ((sqrt(280) - -2*sqrt(280))\/sqrt(8))\/sqrt(180))*3.\nAnswer: 195*sqrt(7)\/2 + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -757 (base 9) to base 8\nAnswer: -1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -59459.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 greater than 159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w + 35520. Let s(u) = -u**2. Give d(s(g)).\nAnswer: -5*g**2 + 35520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/20 - 2*y**4\/3 + y**3\/6 - 13*y**2\/2 - 10*y. Let b be n(8). What are the prime factors of b\/(-2)*(-104)\/(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256 + -220. Let q be ((-4)\/3)\/(((-224)\/l)\/14). Put 0, 1, 5, q in ascending order.\nAnswer: 0, 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99289 is divided by 412.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {d: 8, f: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4157778 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(320)*2)**2.\nAnswer: 128*sqrt(5) + 5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -270*f**3 - 3*f. Let a(w) = -133*w**3 - w. What is 7*a(t) - 3*p(t)?\nAnswer: -121*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 461*g - 37365. Calculate m(81).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.04 + -0.16. Let v = w + 20. Let a = -4\/27 + -2\/27. What is the nearest to 1 in v, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -111*r. Let i(z) = -515 - 112*z**2 + 515 + 109*z**2. What is g(i(k))?\nAnswer: 333*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:28 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2031, -2030, -2029?\nAnswer: -2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 20*g**2 + 95*g + 6. Let b be y(-4). Let a be 304\/40 - (-6 + b). Factor -2\/5*x**2 - a*x - 16\/5.\nAnswer: -2*(x + 1)*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 216, -27, 121, 4\/3, 1\/2, -1\/5, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -20879 and 9.589.\nAnswer: -20869.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 17*b**2 + 6*b + 3. Let q be u(-9). Suppose -q = -2*p - 3*p. Suppose -k + p*r - 3*r + 662 = 0, -3*r + 1279 = 2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55466549 to the nearest integer?\nAnswer: 7448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-565)\/1720 + (-78)\/(-208).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709 - 462*u**2 + 709.\nAnswer: -462*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 2:33 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + ((1*sqrt(95) + sqrt(95) - sqrt(95) - sqrt(95))*4 + ((sqrt(95) + -1*sqrt(95))*5 - sqrt(95)))\/(3*(sqrt(320) - (sqrt(320) + sqrt(320)*2)))*6.\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 548\/29329 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 486564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025105 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h - 26*h = 7656. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -89, -111, -131, -143, -141, -119?\n\"Answer: s**3 - 8*s**2 - s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4 + 271085*v**3 + 4524134*v.\nAnswer: -36*v**2 + 1626510*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0 + 1\/120*u**5 + 0*u**3 - 1\/16*u**4 + 0*u + 45*u**2. Solve p(t) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/8)\/((-2)\/(-184)). Is (4 - 2) + r\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 0.11 (b) 6.3 (c) 4 (d) 8.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.9 - -23. Let g = c + 0.2. Sort g, 0.2, -5 in decreasing order.\nAnswer: g, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-458 + 468)\/(15\/(-36))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 31*f + 297. Is 11 a factor of j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 26221*a + 26222*a = 12, 67 = 3*t + 4*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269.39 + -270. Let w = -0.61 - o. What is the fourth smallest value in 4, -2\/15, w, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4028*r**4 - 7408*r**2 wrt r?\nAnswer: 96672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7282 and 1.\nAnswer: 7282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/18 and 22*((-3)\/1 + (-5415)\/(-1800)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 58*h + 13*h)*(-5 + 3 + 3)*(-43 + 3*h**3 + 43).\nAnswer: 243*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245) + 3 - (sqrt(245) + sqrt(245)*3 + -4)) + 0 + (1 + sqrt(245))*-3 + 2 + -2.\nAnswer: -42*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from oclnqonooon.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18274?\nAnswer: 2, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -29. List the prime factors of (0 - -1)\/(t\/(-216)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102420.9 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k. Suppose k = -3*l - 12, -c = -0*c + 4*l + 18. Let y be c + 6 + -4 - -2. Solve -2 = -v + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-825))\/((-3)\/11).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 6. Let z = r - 9. Let q be 2\/(-3)*5 + z. What is the nearest to -2 in q, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2524735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*s - 7 = 0, -5*j = -18*s + 16*s + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -320\/13 smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315.9 + -315.8. What is the closest to k in -108, -4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 881.197 years?\nAnswer: 0.881197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (2\/(-1))\/(-10 + 8). What is the third derivative of u**m - 43*u**6 - 3*u**4 + 3*u**4 - 2*u**6 wrt u?\nAnswer: -5400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by 1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.36455 months in years?\nAnswer: 2.3637125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2 - 3*s + 3*s + (-3 + 5 - 1)*(-7*s + 2*s + 4*s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (52 - 35) - 75.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 + s + 1. Let x(w) = -6*w**3 + 17*w**2 - 4*w - 4. Let n(d) = 4*c(d) + x(d). What is the third derivative of n(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13\/(-2)*-20 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)\/(-3*1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0 - 1. Let u = 17 + i. What is the units digit of 60\/u + 2\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/17))**(-3\/32)*i**(-1\/36)*i\/i**29 assuming i is positive.\nAnswer: i**(-137359\/4896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 times -40?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2. Let r(g) = -13*g + 36*g + 14 - 10*g - 11*g. Calculate d(r(j)).\nAnswer: 44*j**2 + 616*j + 2156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3\/2 (c) 3\/2858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18c - -51?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3699*(3\/2 - 2). Let k = c + 1888. Find the common denominator of k and -37\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.35663013 plus 4?\nAnswer: -142.35663013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.29 + -2.2. Let j = 3.09 - f. Which is the closest to -2\/7? (a) 2\/11 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-30)\/g)\/g)\/g)**(-19)\/(g**(-1\/2))**35 assuming g is positive.\nAnswer: g**(1289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/120 - 7*q**5\/30 + q**4\/4 - 7*q**3\/6 + 4*q**2. Suppose 3*k + 2*j - 16 - 22 = 0, 60 = 4*k - 2*j. Is o(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1913450 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5895*y - 6964*y = -14200 + 112548 for y.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3 (c) -5\/6 (d) -5 (e) -0.061 (f) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17299594 to the nearest integer?\nAnswer: 4159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 + 8*v - 7. Let u be n(5). Suppose -2*f - 2*f = -u. Let s = -64380 + 64389. What is the greatest common factor of f and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 + 3046*d**4 - 2298060*d**3 - 32772600*d**2 = 0. What is d?\nAnswer: -14, 0, 1530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -12\/1419421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/10 and -87\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15555 + -123?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4842, 4897, 4968, 5055?\n\"Answer: 8*b**2 + 31*b + 4803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**3 + 9*y**3 - 2*y**4 + 3*y**2 + 3 - y**2 + 6*y - 3 to the form i*y**3 + b*y + h*y**4 + j + p*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10155348 and 1\/5879412.\nAnswer: 111708828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {b: 4, m: 9, f: 4, i: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 283410 and 3.\nAnswer: 283410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (3 + sqrt(99) + 2*sqrt(99))) + 3 + sqrt(99) + -1 + -1)**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 3*h - 3. Let d be y(3). Let t = d - 28. Find the third derivative of 5*b - 2*b**2 - t*b**4 - 10*b + 5*b wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30526931191071\/10040 - -3040530992. Let k = q - -2\/1255. Calculate the common denominator of k and 47\/574.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2343 - 0.6.\nAnswer: 2342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137 - -126) + (7 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5, 12 in decreasing order.\nAnswer: 12, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.8 - -26. Let d = 2 - r. Let v = -1 - d. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -32, -31, -28?\n\"Answer: k**2 - 4*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -35 + -3*(-10)\/(-15). Let g = 90 + b. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x - 12*x - 2*x**2 + 33*x)*(2*x + x + 0*x) in the form t*x + v + n*x**3 + p*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhq when three letters picked without replacement from quuuuuuuuquuquhu.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - (5 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**5 + 0*m**5 - m**5)*(-4 + 0 + 3) + 0*m**5 + m**5 + 7*m**5 - 334*m**3 + 334*m**3 - 86*m**5.\nAnswer: -79*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 276\/7. Which is the second biggest value? (a) 4 (b) t (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 * -126.994\nAnswer: 86.35592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 77899652.67 + 26.2\nAnswer: 77899678.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0515 - 0.1495. Put -4, y, 2 in decreasing order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75696 and 0.2?\nAnswer: -15139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziiiiiiz. Give prob of sequence ziz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-42))**(16\/5)*((u**3*u*u)**16)**(4\/15) assuming u is positive.\nAnswer: u**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**3 + 9*h + 4 + 5\/2*h**2 - 3\/4*h**4. Let n(s) = -s**3 + s + 2. Give 2*g(c) - 9*n(c).\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 4*o + 4*o - 478*o**3 + o**4 + 476*o**3 + 1 + o as a*o**3 + p + x*o + s*o**2 + n*o**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877402697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129579.79985 + -120362.4. Let s = -9217 + r. Let c = s + -0.4. What is c rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/20 - 3*j**4\/4 + 4*j**3\/3 - 9*j**2\/2 - j. Let a be m(8). Is 9 a factor of 3*(60\/a)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 42*v**3 - 35*v**2 + 2*v. Let x(h) = -85*h**3 + 69*h**2 - 5*h. Let p(g) = 5*r(g) + 2*x(g). Find the third derivative of p(j) wrt j.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*w**5 - 365*w**4 - 12*w**3 + 404687*w wrt w?\nAnswer: -200*w**3 - 4380*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3491120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 = -s. Let x = 3 - s. Solve x*u + 3 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:52 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2033457 - -4?\nAnswer: -2033453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w - 3*w)*(-17*w**2 - 68 + 68 + ((w + 2*w - w)*(0 + 2 + 0) + 3*w - 2*w - 3*w)*(-3*w + w + 4*w)).\nAnswer: 65*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/(-4556197))*-2. Suppose -w = 4463803 + h. What is w rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 28 + 32. Calculate the remainder when 38 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + -11c2?\nAnswer: -119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0. Let i be 170\/2380 + (-37)\/126. Which is the nearest to 0? (a) l (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 5*v**4\/12 - 19*v**3\/6 + 1058*v**2 - 18*v - 43. What is the first derivative of k(c) wrt c?\nAnswer: 10*c - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(2\/(-4)). Let j(x) = -4*x + x**f + 10*x**2 + 0*x**3 + 4*x. Let i be j(-10). Sort i, 1, -2.\nAnswer: -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o - 2. Let x be v(-4). Let z be 42\/(-4) + 3\/x. Let a(d) = -2*d + 13. Does 18 divide a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -22*t**5\/5 - 85*t**4\/12 - 143*t. Find the third derivative of y(s) wrt s.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 90.9. Let f = -6.9 - h. What is the nearest to 0 in -3\/4, 3, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/16)*855\/(-3078)*2?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 9*t + 2. Let k(s) = 4*s + 7. Let d be k(-8). Let o = -16 - d. Does 2 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 262 and 127566359.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**5 - 12*v**4 + 23*v**2 + 6*v - 6. Let c(k) = k**5 - k**4 - k**2 + 1. Let l(y) = -a(y) + 3*c(y). Let l(p) = 0. Calculate p.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79858.1 millilitres in litres?\nAnswer: 79.8581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let d = j + 2. Suppose d = 3*i - 0*i - 45. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by 13.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 804 = 503. Which is the third biggest value? (a) -4 (b) 14 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34047 + 197132*o**2 + 34047.\nAnswer: 197132*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*s + 3*s. Find i, given that s*i**3 - 2*i - 8*i**3 - 10*i**2 - 3*i = 0.\nAnswer: -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = w - 5*w + 31, 2*w = -5*h + 33. Solve 0 = w*f + 4*f - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/35 + (-340)\/(-35)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*l + 5, 3*k - 4*l - 1989004 = 0. Round k to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v + 2. Let g be i(2). Find the third derivative of -7*a**5 - 3*a**2 + g*a**2 + 3*a**5 wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.4488l in millilitres?\nAnswer: 594448.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291556281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 13141729 - 13141729.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000478 to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30164335 or -30164336?\nAnswer: -30164336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*g + 123*g - 264*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 8)*(-2401 + 791 + 47*m + 794 + 799) to j*m + d and give j.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5904612\/11 or 536782?\nAnswer: 5904612\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 4, -49 in descending order.\nAnswer: 63, 4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 s when four letters picked without replacement from ssmmsmsyssyms?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 5*q**3 - 2*q**3)*(4*q**2 - 8*q**2 + 7*q**2 + (-2*q - q + 4*q)*(34*q - 88 + 88)).\nAnswer: -74*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409066 greater than 2409065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*t + 49 - 5, 0 = -4*t. Suppose -4*z = -n - 2*n + o, -5*z = 5*n - 95. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321.9 + 681336?\nAnswer: 680014.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*j**3*w**2 + 197*i**3*j**3 + i**2*j**3 + i**2*j*w - 164*i*j**2*w - 6*i*j*w - 41*i*j - 24847623*j**3*w**2 wrt w?\nAnswer: 4*i**3*j**3 - 49695246*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {f: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2262243 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3224 - 2094. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vsvssssv?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*h = 8*h + 6280, 0 = -4*g + 2*h + 6292. List the prime factors of g\/6 - 3\/(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.018+-841223\nAnswer: -841222.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 577401*d**2 + 116805*d + 12 wrt d.\nAnswer: 1154802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 6 in ascending order.\nAnswer: -8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215917845 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0286596 - 3.5976138?\nAnswer: -3.5689542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4943 + 5122.67. Round c to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256 - 219. What is the remainder when 140 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -67. What are the prime factors of (-3198)\/j + (1 - (-1 + -1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2919314 + -2919279.00069. Let p = -35 + k. What is p rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + (-87 - -79 - 46)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 360\/(-26) + (-4)\/26. Is 49\/k*(-37 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, 1, 0.007, 11, -3, -0.1, -0.3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056871 rounded to 4 dps?\nAnswer: 0.0569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 4*i - h + 2*h - 265, -2*i - 2*h = -18 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9836666 and 5620952.\nAnswer: 39346664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:29 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 2*f - 2*f. Let a(o) = o + 3. Let z(c) = -4*c - 14. Let r(x) = 14*a(x) + 3*z(x). What is r(i(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22777 + -42. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 921 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 182626 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-2)\/(-11)) + 138\/33. What is the second derivative of -24*p - 2*p - 17*p**4 + 9*p**4 - 19*p**h wrt p?\nAnswer: -324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/4 + 5*j**3\/3 - 9*j**2\/2 - 11*j - 1119. Calculate z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 - 9*r - 74. Let o be c(7). Calculate the highest common factor of 3811 and o.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/(-240))\/7*1\/(6\/(-9))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 4\/25?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129245884 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 4:44 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 - b**3 - 5*b**2\/2 + b. Suppose y - 3 = 2. Suppose 3*c - 2*z = -20, 8*c - 4*c - 4 = -y*z. Calculate u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 - 10 = 0. Let n = 8 - x. What is the remainder when 43 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d - 6. Let y be u(-6). Let i = -9 + y. What is the lowest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubog. What is prob of sequence og?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39601205 to the power of 1\/2, to the nearest integer?\nAnswer: 6293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8689838950 to the nearest 1000000.\nAnswer: -8690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 12*t**2 + 8*t + 23. Is y(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6827?\nAnswer: 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 4*i**4 + 3*i + (8*i**3 - 2*i**3 + 3*i**3)*(-2*i + i + 2*i).\nAnswer: 13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 857*c**4 + c**2 - 244 - 621*c**4 - c**2 wrt c?\nAnswer: 944*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*p - p**3 + 40*p + 31*p - 6 to w*p**2 + t*p + u*p**3 + v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -413 in -1, 1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 27409*p - 7290786. Give g(266).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (25 - (38 + -15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*l + 133*l = 120312. Suppose 62*n + l = 71*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32*q**2 + 3 + 49*q**2 - 104*q**2 + 0 + 3*q. Let c be p(-1). Which is greater: -21 or c?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*v - 148 + 9393 = 0, 3*j + v - 27730 = 0. List the prime factors of j.\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -76\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-21)*(6\/(-5) + 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 826, 1677, 2528, 3379, 4230?\n\"Answer: 851*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5072 + -5072.2781. Let i = -93.5411 + 93.5. Let a = t - i. What is a rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*p + 2, f + f = 5*p + 29. Let n(w) = w**2 + 5*w - 1. Let h be n(p). Let d be (h + 5)*(-33)\/(-44). Solve d*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87732*s**3 + 2*s**4 + 6*s**2 - 18 + 87731*s**3 - s + 11 as c*s**2 + r + z*s**3 + f*s + o*s**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (111\/6)\/(2\/4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c**4 + 6*c**3 + 6*c + 24. Let w(p) = 14*p**4 + 5*p**3 + 5*p + 24. Suppose 4*s + s = -25. Let t(k) = s*a(k) + 6*w(k). Differentiate t(i) wrt i.\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 2*c - 3*c)*((-3 + 3 + 1)*(6*c - c - 3*c) - 12*c - 11 + 11) in the form r + w*c**2 + y*c and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67134, -67172, -67210, -67248, -67286, -67324?\nAnswer: -67362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (63\/112)\/((-3)\/(-4)). Let z = s - 5\/4. Let a = -17 + 11. What is the second smallest value in a, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -141 in -3, -0.04, 182\/17, -0.4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/24604 and -57\/14.\nAnswer: 172228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, 186, 938, 2132, 3768, 5846?\nAnswer: 8366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -4, 105\/79, 35\/6, 0.91?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6155 - 6011. Which is the nearest to x? (a) -0.1 (b) -0.4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4be7 - -c?\nAnswer: -4bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69.6 + -61. Let k = -8.669 + t. Round k to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:05 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 + 98 = 4*d. Suppose -4*n + d = -n. List the prime factors of (2 + 0)*n\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/279 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -478526.8 rounded to the nearest one thousand?\nAnswer: -479000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 214 = -g - 691, 4*l = 5*g + 957. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 11) to base 12\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.55 + -0.45. Which is the nearest to k? (a) -1\/7 (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*x = -8, 2*v + 9 = 4*v - 5*x. Suppose -d - 12 = -3*g, 2*d - 21 = -5*g - 1. Solve v*q = 2 - g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5108 + -4074?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -174356 (base 10) to base 3\nAnswer: -22212011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(11\/22). Which is smaller: -99 or t?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*s + 5*s - 21, 0 = 11*m + 2*s + 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9158060 is divided by 2211.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -36, 11\/4, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1621291 is divided by 6334.\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 2. Let d be i(0). Suppose -10 = -13*c + 14*c. Let y be (15\/c + 3)\/(-3). What is the nearest to 0 in d, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4618111*c**3*t**3 + 4*c**3 - 119467*c**2*t wrt t?\nAnswer: -27708666*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 11. Let j be h(-8). Let x = j + 3. Which is smaller: x or -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 400427.3 meters?\nAnswer: 400.4273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from {b: 1, f: 1, z: 2, i: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-2)\/67) + 48 + -45. Suppose 0 = 3*j - d - 80. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338 + -308. Suppose 13*i - 19*i + c = 0. Solve 3*q = 4*w - 8, i*w - 13 = -0*w + 3*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275) + (sqrt(275) + sqrt(275) + 1)**2 - sqrt(275)) + 3.\nAnswer: 20*sqrt(11) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6 + 3 - 7) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 636 divided by 4\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l + 26. Let f(m) = -m. Calculate -6*f(z) - r(z).\nAnswer: -z - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 21*i**2 - i - 5. Let q be p(-21). Let z be ((-220)\/6)\/(q\/(-24)). Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2297115 divided by 9.\nAnswer: -255235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 0, 32, 5 in ascending order.\nAnswer: -8, 0, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*u + s = -10, -u + 5 = 2*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 + 151 - 308 - 209*u to the form g*u + x and give g.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -1\/5, -2\/7, -178, 9, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/32 greater than or equal to -110\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-3)\/2) + (-4775)\/11078. Let s = 28 - 28. Sort s, y, -0.04 in descending order.\nAnswer: y, s, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 3, a: 2, y: 1}. What is prob of picking 1 c, 1 y, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168454 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3638 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = 5*t, 7*h - 4*h - 3*t - 39 = 0. Suppose -10*s - 497 = -m - h*s, m - 479 = -4*s. What are the prime factors of m?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45867?\nAnswer: 3, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 divided by 809?\nAnswer: 758\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 + 882065*u**2 - 1764165*u - 2646225 = 0. What is u?\nAnswer: -176415, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3253, 6220, 9211, 12238, 15313, 18448, 21655, 24946?\nAnswer: 28333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2931 = 410*y - 411*y, -4*v - 4*y - 2940 = 0. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -55, -110, -185, -286, -419, -590?\n\"Answer: -k**3 - k**2 - 31*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010091862 rounded to seven dps?\nAnswer: 0.0010092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.440635, 3, 0.17, 2\/9?\nAnswer: 0.440635","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 17 = 12. Suppose 3*x = -14 + j. Sort x, -2, -1, -6.\nAnswer: -6, x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/148 and -27\/259.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 21. Suppose -9*k + 3*k + 150 = z. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(66\/154)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.43 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 21. Let m be l(-9). Suppose 109 = 7*v + m. What is the highest common factor of 90 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -3*t**5\/10 + t**4\/12 - 8*t. Let f = -1849 - -1850. Give p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384 by -128.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqqqqqqqdqq.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481215 - -481217. Factor 2\/3*t**q + 4 + 10\/3*t.\nAnswer: 2*(t + 2)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-8)\/((-1568)\/21)) + 4. Calculate the highest common divisor of y and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*g + 128, -2*y + g - 38 - 29 = 0. Let v be 54\/y + (-1)\/(-7). Is v != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**2\/2 - m + 2. Let q(l) = -2*l**2 - 12*l - 6. Let i be q(-5). Let v(n) = 1 + i - 1 + 2*n - 1. What is -8*o(t) - 3*v(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26397 = 16*j + 5*j. Let h = 2540 + j. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f - 5. Suppose -3*s - 4 = 8. Let c(l) = 3546 - 1185 - 1180 - 1185 + 10*l. Determine s*k(m) + 5*c(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 5:09 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 12*b**3 - 12*b**3 + 18*b.\nAnswer: -24*b**3 + 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/4 + 627*s**3\/4 - 1815*s**2 = 0. Calculate s.\nAnswer: -220, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*m + 28*m + 6*m**2 + (-2 + 5 - 1)*(-4*m**2 + 2*m**2 + 0*m**2))*(2*m - m - 2*m)*(4*m - 5*m + 2*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*t = 13*k - 9*k - 6, 5*t - 84*k = -76*k + 30 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 16. Let y be x\/49*(-4)\/(-10). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4923344, 9846684, 14770024, 19693364, 24616704?\n\"Answer: 4923340*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 5*i**2 - 2*i**2. Let o(n) = 7*n + 7*n + 0*n - 15*n. Determine f(o(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d - 61*d = 1600. Suppose 5 = f, 3*x - x + 4*f = d. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 4*q**2 + 5*q + 1. Let v be h(-5). Let x(o) = -8*o - 1. Let r be x(v). What is the units digit of (-1)\/((r\/(-6))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*b + 10, 0 = -5*f - 4*b - 463 + 343 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21862 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-2)\/84). Suppose -3*r + 0*r + h = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*5\/6*(-28)\/(-420)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - 7*c + 731. Let w(a) = -a**3 + 3*a - 366. Give 3*u(l) + 7*w(l).\nAnswer: 2*l**3 - 369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-836)\/1045*(-30)\/32)\/((-1)\/72)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (81 - -87) - 84\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/(-9))\/(5\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 13, -3\/7 in descending order.\nAnswer: 13, 3\/2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 12. Suppose w*g = 19 + 11. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 877240 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 61 - 124 + 57 = -2*d, 255*d + 759 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3190)\/(-33)*(-18)\/5 - 4. Let t = u + 395. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9471539444 to the nearest 100000.\nAnswer: 9471500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 9 - (-6 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4\/15 - 10*c**3 - 178*c**2\/5 + 2534*c\/15 + 568 = 0.\nAnswer: -71, -5, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18*(6\/9)\/(-1). Let v be (6\/g)\/((-1)\/8). Suppose 0 = -v*x + 24. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, 8, -1, -46, -139, -292?\n\"Answer: -2*j**3 + 29*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52601, -105113, -157625?\nAnswer: -210137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -380, -376, -372?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**2. Let g(b) be the first derivative of -16\/3*b**3 - 71 + 0*b**2 + 0*b. Give g(o(n)).\nAnswer: -3136*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51\/5 - 223\/10. Is g != -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*g**2 - 180*g**2 - 168*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 2:12 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z + z)*(3 - 3 + 2*z + (-4 + 1 + 1)*(-3*z + 4*z + z) + 2*z + 0*z - 3*z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(4\/23)*p))\/(p*p*p\/(p\/(p\/(p*p**0)))*p)*p**0*(p**2\/p)\/p assuming p is positive.\nAnswer: p**(-119\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 2 + 42)*(4*r + 0*r - 3*r - 1 + 1 - 2*r + (2 + 3 - 3)*(r + 0*r + r)) + 140 + 32*r - 140.\nAnswer: 101*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 4. Suppose 0*u - 26 = 2*u. Let i be z(u). Suppose 4*w - i = w. Solve w + 2 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/86 (b) -3 (c) 2\/207 (d) -0.2 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -47 + 28 - (1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**3\/3 + 26*i - 46. Let g(t) be the first derivative of q(t). Let n(m) = -3*m**2. Calculate n(g(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/5 - -11\/5. Let m(l) = -3*l + 17. Let s be m(-20). Let g be (-14)\/s - (0 + 8\/77). Sort -5, h, g in increasing order.\nAnswer: -5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) -1\/3 (c) -0.549 (d) -0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -29. Let z be 78\/(-52)*(-44)\/v. Calculate the highest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllu. Give prob of sequence lu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957130 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7281930 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3212613)\/(-45) - (-4)\/(-10). Suppose 0 = 8*i - h - 40609. Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 63, 149, 0, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1440186, 2, -2, -5 in descending order.\nAnswer: 1440186, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 4*p.\nAnswer: -4*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 14, 3 in increasing order.\nAnswer: -26, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56135224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 100 = -4*w + 6*k, 4*w - 3*k - 100 = 0. Solve -5*c + w = 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2016.72 grams to micrograms.\nAnswer: 2016720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. Let c be (-5)\/h - 6\/(-9). Is 0 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4417 + b + 4417.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 786204 to the power of 1\/2, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 15*z + 14. Let l be j(16). Let w be l\/(-8)*(-16)\/12. Solve -w*x + 3 = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g + 0*g)*(0*g - 2*g - g)*(-53 + 56 + 26) + (7*g - 2*g - 3*g)*(2*g + g - 4*g) + 3*g + 5*g**2 - 3*g.\nAnswer: -345*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*h**3*m**3*p + 2*h**3*m**2*p - h**2 + 20*m**3*p + 2*m**2*p wrt h?\nAnswer: 750*m**3*p + 12*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/12)\/(1 + -5). Solve 0*y + 2*y = -10, n = -3*v - 4*y - 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -39*g + 48. Let t(n) = 44*n - 54. Let m(b) = -8*t(b) - 9*y(b). Let a(f) be the first derivative of -43*f**3\/3 - 3. Calculate a(m(h)).\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10323\/154 - -453\/7. Calculate the common denominator of (3 - (-111)\/(-120))*(3 - 1) and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 144001, 1 in descending order.\nAnswer: 144001, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6600)\/21384)\/(85\/(-153))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297279269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 584797301?\nAnswer: 584797296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103590197, 207180396, 310770597, 414360800, 517951005?\n\"Answer: u**2 + 103590196*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - (3 + -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 + 138 - 138 + (0*x**4 + 0*x**4 - x**4)*(2*x - x + x) - 3*x**5 + 3*x**5 - 2*x**5.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -8*b + 27, 4*b - 11 = 5*g + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -89.53. Let y = d - -0.03. Which is the nearest to -2\/3? (a) 1\/5 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -505*g**3 + 267?\nAnswer: -1515*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*s\/((s\/(s*s**(2\/15)))\/s)*s*s*s)\/s*s)\/s*s*s**(-1\/5)*s)\/(((s\/(s\/(s\/s**(-5\/2))))\/s*s)\/(s\/(s**(-3\/13)\/s))) assuming s is positive.\nAnswer: s**(2989\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/5 and (-5 - (-27)\/6)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -62. What are the prime factors of f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from ikiissviskivk.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 + 39*p - 39*p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + u)*(-7*u - 2*u - u)*(-8383 - 10752 + 21783) as j + x*u + o*u**2 and give o.\nAnswer: -26480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2474 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.01855? (a) -0.03 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/12 + 8*w**3\/3 + 4*w**2 + 423*w + 9. Let h be -4 - -1 - (2 - -7). What is p(h)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 2, p: 8, m: 2}. What is prob of sequence lgg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 + -570572\/1729. Are 0 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 5*f**2 + f + 4. Let l be t(3). Let m = -6 - l. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -221, -287, -353, -419, -485?\n\"Answer: -66*f - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1981 = 7*m + 5621. Let f = 2056 + m. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085448 divided by -213?\nAnswer: -5096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.1548 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 + -5 - 7) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 1 + 27*y**2.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*b**2 - 22*b + 22*b + (-b - b + b)*(53*b - 64*b + 37*b).\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -7*t + 41. Let l be (0 - -64)*8\/t. Suppose 2*m + 6*m = l. Solve 3*k - k + m = 0, o + 4*k = -9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 12*m + 1. Suppose -2*x + 63 = 3*p, 3*p - 7*p + 2*x = -70. Let y = p + -18. Give j(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + -18 + (-19 - -55)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23899 - 620. Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -829341*s**3*t**2 - 240*s**3 + 8607*s**2 + 5*s*t**4 - s wrt t.\nAnswer: -1658682*s**3*t + 20*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 28 = q, -5*q + 1628*n = 1625*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 84. Let m = c - 41. Suppose -m = t - 128. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(16\/2) - -2. Suppose -4*v - 4*b + 12 = 0, -5*v + 7 = 4*b - 7*b. Solve -u - 13 + 1 = x*h, v*u = -4*h - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4236, 8341, 12312, 16149?\n\"Answer: -67*g**2 + 4306*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-2) + 9 + 213 + -222\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296777?\nAnswer: 13, 37, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0037 or -0.369?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m - 6 = 0, 0 = -4*r - 4*m. Suppose 212628 = r*f - 507372. What is f rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.15 + -19. Let o = -0.15 + m. Let v = -134 + 1208\/9. Which is the nearest to 2? (a) v (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 6. Let a(t) = -t - 16. Let o be a(-4). Let k be 57\/o + -2*3\/(-8). What is s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -822, -1633, -2824, -4479, -6682?\nAnswer: -9517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.743, -1\/91, 0.1 in descending order.\nAnswer: 0.1, -1\/91, -14.743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106009, 212019, 318029?\n\"Answer: 106010*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-13692)\/952 + 1\/(-34)*4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110 - 11010111101100100010111?\nAnswer: -11010111101100011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -402.4, 4.9, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25 - -2)*(2 + -5). Let n be -8*(3 - x\/12). Solve n = 2*t - 3*d, -3*t + 1 = 3*d - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.502297mg to grams.\nAnswer: 0.007502297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/4 - 1 - (-791)\/3164. Let f = 0.5 + -0.1. Let u = f - 0.2. Sort g, 4, u in decreasing order.\nAnswer: 4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 9. Let d be c(-6). Suppose d*f - f + u = 3, -2*u = -5*f + 21. Solve 4*h - 4*g + f*g + 16 = 0, 4*g + 21 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103054 divided by 2.\nAnswer: 51527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/19 or 2\/376057?\nAnswer: 28\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -0.576 (c) -35\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73709.\nAnswer: 73709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1797 divided by -599.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6670 + 12537. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, e: 2, w: 5}. What is prob of picking 2 z and 2 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 289\/(-51) + (-1 - 20\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 2. What is the tens digit of (1740\/90)\/(0 - y\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 174411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31277*g**2*w**2 - 28*g**2*w - 390*g**2 + 2*g*w - g - 7319 wrt w.\nAnswer: -62554*g**2*w - 28*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10434480 by -80.\nAnswer: -130431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12664338*o**4 + 9245378 with respect to o.\nAnswer: 50657352*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 103*t + 102*t - 205*t - t**2 - 432 + 176.\nAnswer: -t**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -56?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41346067 is divided by 1033651?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1973*i. Let y(l) = -13*l - 10. Give d(y(c)).\nAnswer: -25649*c - 19730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4 - -11) + -11 + 17 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1129952099 to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*g + 24 = 0, p + 7 = -2*g + 56. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((0 - 3) + -3 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = n + 20, 5*m + n = -3*n + 25. Suppose 4*s = -m*h + 385, 3*s - h - 200 = 65. Let v = 56 + -20. Calculate the highest common divisor of v and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 836. Let r = 1916 - a. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103 (base 4) to base 14.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/6701300 and 17\/7706495.\nAnswer: 154129900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)\/(k\/k**(-2\/33))*(k\/(k\/k**29))\/k*k\/(k*k*k**(-1\/46)) assuming k is positive.\nAnswer: k**(22711\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + (-111)\/(-21). Suppose -s*f + f = -8. Suppose -f*y - w + 7 = 0, 14 = 5*y + 4*w - 8. Solve -h + 0 = -y, h = -4*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47030 or -47032?\nAnswer: -47030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(18\/81). Which is the nearest to 5? (a) 2\/7 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253964139 to the power of 1\/2, to the nearest integer?\nAnswer: 15936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejlueollue. Give prob of picking 1 e and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + sqrt(245) + 1)**2 + -5 + -2)*-3 + 2.\nAnswer: 1260*sqrt(5) + 4736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 237, 319, 397, 471, 541?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 45668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -27219, 90 in ascending order.\nAnswer: -27219, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -348, -314, -278, -240, -200, -158?\n\"Answer: j**2 + 31*j - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 45*d - 154 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeeexuexxenxneexxe. Give prob of picking 3 e.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 8)*18\/(-21). Let m(d) = d. Let w be m(5). What is the second derivative of z**w - z + c*z - 3*z wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 165 = -4*h, 5*h - 97 = 2*i + 106. Let v = 42 - h. Solve -w = 5 - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*p - 3*a + 206, p = a + 77. Let f = -52 + p. Let i = 29 - 17. Calculate the highest common divisor of i and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4989 - 337 - 7*y - 700 + 16*y.\nAnswer: 9*y + 3952","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 350, 14, 4 in decreasing order.\nAnswer: 350, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 390.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {g: 4, a: 1, w: 2, h: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413451 and 26379.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1803720 and 1480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5193 and 83088.\nAnswer: 83088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/722 and -39\/153520?\nAnswer: 2916880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -8301469.\nAnswer: 4\/8301469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 2 = 3*b - u, 0 = 3*u - 6. Let p(r) = r + 4 + 5 + b*r - 1. Determine p(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/3))\/v)**15 assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - 2\/9. Suppose -3*m + 0*m = l. Let c(x) = -4*x + x + 5*x + m*x. Let z(w) = -2*w**2. Give z(c(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - 1\/((-18)\/39). What is the second biggest value in v, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 297092*g**2 - 3267919*g - 8318268.\nAnswer: -(g + 4)*(g + 7)*(g + 297081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 4*f. Let d be (f*1)\/(7\/(-2100)). Round d to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*m + 5*v + 4, -v = 3*m - 14. Let f(s) = -s**2 + 6*s - 6. What is f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -1, 1.73 in descending order.\nAnswer: 1.73, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 4*c**7\/35 - 29*c**6\/30 + 3*c**5 - 4*c**4 + 8*c**3\/3 + 2*c**2. Suppose q(h) = 0. Calculate h.\nAnswer: 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 12. Suppose 31*x - 32*x + 5 = 0. Let q be j(x). Sort -4, 4, q in decreasing order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -240510 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k**3 - 161*k**3 + 88*k**3 - 5*k**2.\nAnswer: -2*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 695*j**4 + 3*j - 4*j + 2*j**3 - 306*j**4 - 258*j**4 to the form z*j**4 + w + g*j + x*j**3 + l*j**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8722 divided by -98.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -12. Let y be (-150)\/(-9)*(2*c - -5). Let w = 52 - y. Solve w*h + 0 - 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27800 and 7011855?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3912940126 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -9881?\nAnswer: 49405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -1055?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 11 + -12 - 2 - (-1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -522, -790, -1062?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -819898, -819899, -819900, -819901, -819902?\nAnswer: -819903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/21 - ((-234450)\/(-7))\/(-9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -10, -5605 in decreasing order.\nAnswer: 14, -10, -5605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 4, -86364, -0.025 in descending order.\nAnswer: 4, -0.025, -2\/13, -86364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-40 + -6)\/((-4)\/30*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383\/2 + 182. Find the common denominator of -52\/7 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 106\/10 + 4\/10. Let u = 15 - t. Suppose 4*r = 3 + 5. Solve -3*i - 2 = -u*x + 3, -3*x + r*i + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 5*v + 20 + 3*v)*(4*v + 2*v - 4*v) + 2*v**2 - 5*v**2 + 0*v**2.\nAnswer: -5*v**2 + 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 7*m**2 - 10*m - 35. Let j be w(-8). Suppose 0 = 2*u - g - 198, 2*u + 2*g = u + j. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 39 + n + 14.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 6464465?\nAnswer: -6464467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 2. Let f be (l\/(-2))\/(17\/34). Suppose -2*r + x = -f*x - 130, 0 = 4*r + x - 296. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2806\/13 - 895088\/4147. Which is the nearest to -2\/7? (a) 3 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6953 or 6952?\nAnswer: 6952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g + 3*a = 20, 3*g = 5*a + 49. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i + 12*i + 45*i.\nAnswer: 75*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*b - 2*r, 85822*b - 85798*b - 100 = -4*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 3\/((-6)\/20). Suppose -v = -2*n + 13. Let s = 3 + 6. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23657 - -37372. List the prime factors of d.\nAnswer: 5, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 3*f + 6. Let l be h(7). Let k = l - -81. Calculate the greatest common divisor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2 + 26*t + 280 = 0.\nAnswer: -7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*n - 2341 + 2335, 5*f = n - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c**(1\/2)*c)\/c)\/c)**(-34\/7)\/(c\/(c\/c**1)*c*c**(-6)\/c*c*c))**38 assuming c is positive.\nAnswer: c**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**6\/10 - 11*n**4\/4 - 9*n**3 - 12*n**2 - 258*n. Factor t(o).\nAnswer: 3*(o - 4)*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23861676 divided by -350907\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.845 - -0.055. Let p = 12.8 - u. Let m = -12 - p. Is 5 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*3 - sqrt(175)) + sqrt(7) + sqrt(175) + ((-2*sqrt(175) - sqrt(175))**2 - sqrt(175)) + sqrt(7).\nAnswer: 12*sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/4779 and -4\/12080781?\nAnswer: 108727029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 2, 1, -5.\nAnswer: -5, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 60.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z + 21. Let w = z - -11. Find the second derivative of w*c**5 - 26*c + 25*c + 0*c**5 wrt c.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + m - 2*m = 13, -4*m = 3*q - 24. What is the units digit of 21 - (5 - 3 - q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2172, 4329, 6472, 8595, 10692, 12757, 14784, 16767?\n\"Answer: -r**3 - r**2 + 2167*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awavapvaaapaajwpaja. Give prob of picking 2 a, 1 p, and 1 j.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5 + 2 + 3*h - 22 - 17. Let k be (-7)\/(2*3\/(-12)). Is 10 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 6, c: 2, u: 1, p: 1}. What is prob of picking 1 c and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1343, -1532, -1837, -2252, -2771, -3388, -4097, -4892?\nAnswer: -5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 178971 = -10*s + 4*q, 0 = 5*s + 3*q - 178978. What are the prime factors of s?\nAnswer: 5, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 19208 = 4*m, 8126 = -4*m - 5*h + 27322. What are the prime factors of m?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-12))*l)\/(l\/(l\/(l\/(l\/(l\/l**(5\/6)))))*l) assuming l is positive.\nAnswer: l**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 + 3240*y**4 - 191920*y**3 + 703200*y**2 + 767744*y - 2864640 = 0.\nAnswer: -2, 2, 4, 60, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(14)\/sqrt(2)) + sqrt(128) + -2.\nAnswer: -2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 614 + a?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*-4\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 93 = -4*j. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 - u - 3. Let y = -13310 + 13304. Let l(h) = 1. What is y*l(a) - 2*o(a)?\nAnswer: -2*a**3 - 6*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 8271.6843.\nAnswer: 8254.6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-3)\/(36\/(-8))). Let x be ((-5)\/10 + 2)*s. Let f(g) = -x + g**3 + 0*g**2 + 6*g**2 - g + 2*g - 5*g. Give f(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r - r)*(27*r**2 - 29*r**2 + 20*r**2)*(3*r + 1 - 1)*(r + 1 - 1).\nAnswer: -108*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.12 and 561.8.\nAnswer: 2314.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f*g*n**2 - 3*f*g*n - 2*f*n**2 - 43*f*n + 2*g*n**2 - g wrt n.\nAnswer: 18*f*g - 4*f + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3307264 and 1024?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -456910.31 rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -11*j**6\/6 - 103*j**2 - 2*j + 74. Differentiate r(y) wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 2 + sqrt(1216)*5)**2 - (sqrt(1216) + 5*(-1 + sqrt(1216)) - sqrt(1216) - sqrt(1216))**2.\nAnswer: 512*sqrt(19) + 24299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 61.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Let t(l) be the second derivative of -2*l**2 - 1\/12*l**4 + 0*l**3 + 0 - 22*l. Calculate 3*t(k) + 12*w(k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7)\/(-4 + 286\/77)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, 159, 240, 321, 402, 483?\n\"Answer: 81*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.630501 millennia in months?\nAnswer: 91566.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**4\/24 - r**3\/2 + 22*r**2. Give o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from uhuhuhhuhuhu.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*x - 32, 5*x + 6 = 2*f + 31. Let a = 138.99 - -0.01. Let u = -139.3 + a. Sort x, u, -2, 1\/8 in decreasing order.\nAnswer: x, 1\/8, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 85 + 1 + 160 = -17*o, 4*q + 150 = -3*o - 7*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32052 + -2713.0243?\nAnswer: -2712.70378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429*d + 1430*d = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let x be h(-8). Suppose -13*z + 11*z = -x. Suppose -47 = -2*c + 3*w, -20 = -z*c + 5*w + 69. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 466 and 1199950?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*((-2*(sqrt(26) - (sqrt(104) - 2*sqrt(104))))\/((sqrt(450)*-2 - sqrt(18))\/sqrt(9)) + 1))**2.\nAnswer: -29450\/121 - 600*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/6 - k**2\/2 + 2*k - 1. Let g(z) be the first derivative of r(z). Let f be 84\/9 + -4 + (-6)\/(-9). Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16621\/20 + -830. Find the common denominator of n and 53\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/255)\/(-7)*((-4)\/6)\/2\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/8)*d**(-9)*(d**(-3))**(-1\/6))**2 assuming d is positive.\nAnswer: d**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 - 3. Let h be f(-4). Let v(i) = -i**3 - 4*i**2 + i. Let t be v(-4). Does 5 divide (-6)\/h - t\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) -2 (c) -6 (d) 1\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Let a be l\/(-5) + 9\/5. Suppose 0 = -2*s + 18 + a. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 5*l - 8*l - l**3)*(3 - 2 + 2).\nAnswer: -3*l**3 - 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = g - 3*a + 5, 3*g + 4*a = 29. Let w be g\/(-2)*(-8)\/5. Suppose -s + 4*s = w. Solve s*b - 6 - 14 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1124*f - 2 + 969*f)*(-3*f + 0*f - 5*f) in the form z + i*f + u*f**2 and give u.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381569 - 130360304.\nAnswer: -129978735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9827324, -9827317, -9827306, -9827291, -9827272?\n\"Answer: 2*h**2 + h - 9827327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/20 - 2*i**4\/3 + 2015*i**2. Let y(n) = 7*n**2. Determine y(f(l)).\nAnswer: 63*l**4 - 672*l**3 + 1792*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1. Let a(w) = -56*w - 88. Let l(y) = -a(y) - 6*v(y). Find the first derivative of l(d) wrt d.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-2580)\/(-16) - 5)\/((1\/4)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g + 1 = -r, -3*r - 23 = -2*g. What is the remainder when 19 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdrjarjjrjrjj. What is prob of sequence rj?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112)\/(-64) + (6\/8)\/(-1). Let r(g) = 2*g**2 - 1. Determine r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24740 - 15336. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3\/8 + 10071*m**2\/8 + 10065*m\/4 = 0.\nAnswer: -3355, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 174*c**2 + 7 - 2809*c**2 to the form s*c + z + t*c**2 and give t.\nAnswer: -2635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-9)*246\/(-2255). Put 3, t, -8\/53 in decreasing order.\nAnswer: 3, -8\/53, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -1883, -2828, -3771?\nAnswer: -4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/45 - t**5\/15 - t**4\/18 + 4*t. What is i in a(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/3)*m)\/m**(-3\/4))**3 assuming m is positive.\nAnswer: m**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**4 - 7*c**3 - 5*c**2 - 5*c - 6. Let g = 5 - -8. Let p(d) = -2*d**4 - 9*d**2 - 9*d - 1 - 2 - 8 - g*d**3. Let k(m) = 6*p(m) - 11*w(m). Factor k(j).\nAnswer: -j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44505417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 5*a + 6. Let x be g(-5). What is x rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117457\/760 + -53\/152. Sort 1, -5, x in increasing order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/((-3300)\/(-144))*(-30)\/(-2)*10\/(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1095919*b**3 - 21*b**2 - 4064342?\nAnswer: -3287757*b**2 - 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -54. Let b = i + -39. What are the prime factors of 68 + (b - (-2 - -3))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/56*3*(-77)\/(-42)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 2. Suppose 0 = -u - 5*m - 15, -3*m = 6 + 6. Suppose -2*d = k, 0 = -5*d + 4*k - 8 - u. Let z(p) = p**2. Let v(o) = d*z(o) - r(o). Factor v(y).\nAnswer: -(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69552*f - 2928*f**3 - 69549*f - 1477*f**3.\nAnswer: -4405*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5428 - 2295. What are the prime factors of l?\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(6*u - 5*u - 8*u)*(0 + 2 + 0) as c + m*u and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407904807 to the nearest integer?\nAnswer: 20197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10*(10 - 3 - 2). Find the third derivative of -d**6 + 6*d**6 - d**j + d**2 + 5*d**2 wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrrxx. What is prob of picking 2 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*r - 4 = 5, -3*q + r - 9 = 0. Suppose -3*y = -5*i - 7 + 2, 5*y - 2*i = -17. Which is the nearest to 0? (a) q (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1.303.\nAnswer: -0.6515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3264 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(2\/33 + 0). Let w = 0.4 - 0.3. Let d = 8\/13 + -55\/26. Put w, a, d in decreasing order.\nAnswer: a, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 403.4 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (1 + 0)*-4. Let j be (-7 + 1)\/(x - 8). Is j at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72812 and 20492.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3154223 (base 6) to base 10.\nAnswer: 155175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/1)\/(-1 - -3). Let k(u) = u - u**2 - u - v - 2*u. Suppose g + 4 + 0 = 0. What is k(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265.8 + 265.6261. Let v = j + 0.186. What is v rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -14, -73, -208, -449?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07211925 to four decimal places.\nAnswer: -0.0721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 14193303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Solve x*c - 3*i = -i + 16, -2*i = c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/8)\/a**12*(a*(a*a\/a**(-17)*a)\/a*a*a*a)\/(a\/a**(-2\/15)*a) assuming a is positive.\nAnswer: a**(1049\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003749674 rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1708)\/244*((-260)\/195)\/((4\/6)\/(-1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 17. Let d be x(-13). Let t be -2*(d\/4)\/5. Solve t*r + 4 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = d - p, 12 = -3*p - 0*p. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*6*(-9376)\/(-11720)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - 1*sqrt(175) - sqrt(175))**2 + sqrt(175) + 2)*-2.\nAnswer: -354 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -14, -0.59, -2, 1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -4364\/135?\nAnswer: -4364\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - 11*k - 6. Let a be u(-7). Let y(h) = 12*h - 5. Let j be y(5). Calculate the greatest common divisor of j and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xriruruuuxixruirr. What is prob of picking 2 u and 2 r?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 66*g**2 - 790*g - 20. Let h be o(12). Solve -h = 4*l - 2*p, 34 - 42 = -4*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.2 take away 59.57?\nAnswer: -115.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (190\/(-75))\/(-3 - 14793\/(-4935)). Let c = p - 1039. What is the common denominator of c and -37\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1573) + sqrt(1573)*4).\nAnswer: 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47107949 is divided by 2102.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39460 is divided by 318.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 1. Let r(y) = -5*y + 8. Let g(i) = i**3 + 10*i**2 + 8*i - 5. Let j = 3 + -12. Let v be g(j). Let n(t) = v*l(t) - r(t). Determine n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -1 - (-1824)\/(1 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let q(v) = 26. Let w(z) = 2*z - 108. Let b(n) = -12*q(n) - 3*w(n). Give b(p(f)).\nAnswer: 6*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 213.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 5)\/(67 + 150\/10).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12561 - 188417\/15. Sort -4, j, -0.159 in decreasing order.\nAnswer: j, -0.159, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6607685 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -62, -22, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.15714.\nAnswer: -0.047142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 19. Suppose 26*j + 16 = i*j. Suppose -3*v + 2*v + 7 = 0. What is the remainder when v is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/18 + 4*h**3\/9 + 5*h**2\/3 + 7*h. Factor b(p).\nAnswer: -2*(p - 5)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**4 + 5*o**3 + 5*o**2 + 3*o. Let s(x) = -5*x**4 + 6*x**3 + 6*x**2 + 2*x. Let u(a) = 6*i(a) - 5*s(a). What is the second derivative of u(c) wrt c?\nAnswer: -132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:05 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2216 and -63\/44.\nAnswer: 24376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 423693?\nAnswer: 2\/423693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68183 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62746 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyiyiiisyysiyiyihiy. Give prob of picking 2 y.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:13 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 14*d**2 + 3*d**2 - 16*d**2. Let n(f) = -5*f + 8. Let v(k) = -4*k + 6. Let t(z) = -3*n(z) + 4*v(z). Give t(w(l)).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((b + 14*b - b)*(-2*b**2 - 3*b**2 + 6*b**2) - b**3 + 0*b**3 - 7*b**3)*(-7 + 2 + 6)*(2 - 1 - 5 - 7) to r*b + h + v*b**3 + w*b**2 and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667586400 rounded to the nearest 1000000?\nAnswer: -1668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 - 67020*o + 938868 = 0. What is o?\nAnswer: -22354, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 - 4 + 56*t**3 - 6*t - 55*t**3 + 4*t**4 - t**2 + 3*t in the form w*t**4 + f*t**3 + z*t + c*t**2 + r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -327, -1297, -2913, -5175, -8083?\n\"Answer: -323*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29216 and 704?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 + 3*x + 7 - 2*x**3 - 6 - x to v*x**4 + w*x + s + c*x**3 + d*x**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 + 12*q - 27. Let p be y(7). Suppose 4*t + 12234 = 2*i, p*t - 30630 = -5*i + 9*t. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.86 - -6. Let g = -0.96 - r. Let d = g + 1.09999987. Round d to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8ca (base 16) to base 11\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -753*n**2. Let u(t) = -21*t**2 + 1. Determine u(r(b)).\nAnswer: -11907189*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 244, -622, -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -311, -315, -319?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**8\/1680 + h**5\/120 - h**3\/3 + 2*h. Let f(m) be the second derivative of z(m). Find the second derivative of f(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 - -1012. Let z = -152 + j. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1, 324 in descending order.\nAnswer: 324, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138433 is divided by 34604.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -196*g - 4910. What is i(-19)?\nAnswer: -1186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffvbbffvhbf. What is prob of picking 1 h, 1 v, and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5789154 and 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12957?\nAnswer: 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -8, 6, 24?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231123311 (base 4) to base 7.\nAnswer: 1403366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*i + 810 - 42 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozi when three letters picked without replacement from zofzpsif?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnzu when four letters picked without replacement from {q: 1, n: 1, u: 1, z: 2, f: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 2*w + 1. Let n(q) be the first derivative of -3*q**3 - 2*q**2 - 2*q + 189. Calculate -5*k(o) - 2*n(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15111959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/60 - 3*j**4\/8 + 3*j**3 - 203*j**2. Determine m so that x(m) = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Let a be 40\/o + (-1 - 1). Solve -15 = 3*k - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12355577 and -490068.\nAnswer: -12845645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13649440 and 9310.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 9 = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syyryryyyrryysri. What is prob of sequence rsyi?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 37*p - 109. Let q be s(3). Which is the biggest value? (a) q (b) -0.06 (c) 0.083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + 32572.\nAnswer: 32572.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.4 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 27, 78, 157, 270, 423, 622, 873?\n\"Answer: i**3 + 5*i**2 + 7*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -2 (c) -0.5 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/32*182000\/(-238875).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-24) - (-34)\/(-24). Which is the third smallest value? (a) -0.5 (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*o - 77*o - 54 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13696, -18119, -22542?\n\"Answer: -4423*o - 9273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 10. Put 0, -4, n in descending order.\nAnswer: n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -17. Let i(g) = -12*g**2 + 4*g + 6*g**2 + 4 + 4*g**2 + q*g. Is i(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from nqnnnnnqqnnnnqqn?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 1. Let f be 2\/8 - ((-990)\/(-40))\/11. Let t(w) = 121*w - 91. Let n(j) = f*l(j) + t(j). Differentiate n(r) wrt r.\nAnswer: -4*r + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1227897 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - f + 224 = -645, -f = y - 289. Suppose x = -3*v - 32 + 2, 0 = 5*x - 15. Is 2\/v - y\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20*(-8)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(11)) + sqrt(44)\/sqrt(4)*-6)**2 + 2.\nAnswer: -32*sqrt(11) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -23*y + 26*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srqrrssdrsrdrdsr. Give prob of picking 1 s and 2 r.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*u**2 + 279*b**3*u - 2209*b**2*u + 1676425*b*u**2 + 3 wrt b.\nAnswer: -12*b*u**2 + 1674*b*u - 4418*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/91)\/((-11)\/(-33)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545738942?\nAnswer: 2, 3, 11, 137, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 187550683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189 is divided by 275.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*m - m + 161639, 0 = -3*m - 2*u - 484922. Let a be (323282\/m - -2)*103234. Let q = a + -1\/2245. Calculate the common denominator of 5\/28 and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v**2 + 3*v)*(6*v - 2*v - 2*v) - 3*v + 3*v + 2*v**3 + (v - v - v)*(15*v**2 + 2*v**2 - 5*v**2) as k + g*v**2 + q*v + i*v**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.6779 meters?\nAnswer: 0.0046779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**4 - m**2 + 2*m**4 - m**2 + 2*m + 0*m**2 to the form x*m**4 + w*m**2 + n*m + j*m**3 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a7 (base 16) to base 15.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244014 (base 5) to base 8.\nAnswer: 22053","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z + 4*u, u - 9 - 4 = -3*z. Sort 8, 6, z in descending order.\nAnswer: 8, 6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + 1 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) - -5*sqrt(66)*1 - sqrt(66)))\/((sqrt(864) + (sqrt(864) - -4*sqrt(864)))*-3 + sqrt(864)).\nAnswer: -5*sqrt(11)\/102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 61*k - 586. Let y be n(49). Solve -y*f + 29 = 3*h, -f = 3*h - 8 - 17 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppl when three letters picked without replacement from pllodloodlplp?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 + 54*w**2 - 129*w + 22. Calculate x(18).\nAnswer: -2300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - 7. Let g(b) = 5*b + 15. Let y(n) = n + 3. Let q(o) = 4*g(o) - 22*y(o). Let c be q(l). Solve 5*w - 3 = c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1551500073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452637.\nAnswer: 1452637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 0.3, 344, -1.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 19, -12, -45, -80, -117, -156?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**(-3)\/x)\/x)*x**(2\/3)\/x*(x\/x**(-1\/4))\/x*x**1*(x**(1\/4))**(-1\/17)*x**(-2)*(x*x**6\/x)\/x assuming x is positive.\nAnswer: x**(505\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 137 = -136 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 1014*c - 8156. Give x(346).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26128496?\nAnswer: 2, 19, 61, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 19 = 1. Suppose -4*r - 16 = 0, f*r + 388 = 7*c - 2*c. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1623a605b + -4?\nAnswer: 1623a6057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -2 (b) 50 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j = -27*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 3, y: 4, z: 1, g: 1, t: 5}. Give prob of sequence dz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 265301544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20094972181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqoh when four letters picked without replacement from {w: 1, q: 1, o: 12, h: 3, s: 1, a: 1}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 229*p + 7. What is w(-1)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 893.005 micrograms?\nAnswer: 0.000000893005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 10*c - 10*c + (6*c - 4*c + 3*c)*(0 + 1 + 1)*(5*c - 4*c + c) to the form t*c**2 + l + x*c and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -2\/13 (b) 0.1 (c) -797\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 7\/6 (c) -7 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20955 < 2\/2501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = 466 - 556 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0) + 3\/(-1). Let a be 32\/(-12) + y - -3. Factor -a*u**2 + 1\/3*u + 0.\nAnswer: -u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4 + (-2 + 3 + 0 + (-1 + 0 + 2)*(5 - 1 - 3))*(13 + 4 + 7) + (2 - 2 + 1)*(-2 - 2 + 3))*(g + 3 - 3).\nAnswer: 45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-83)\/(-52) + (-66)\/(-429) - 2. What is the third smallest value in -4, -2\/11, 2, d, 2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 12:08 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*(-63)\/18)\/((-6)\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in 2, 5\/6, 0.1, -1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-7)\/((-21)\/(-18)). Let g(z) = -2*z - 7. Let m be g(w). Suppose 0 = -2*k - m*v + 20, -5*v = 5*k - 2*v - 32. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 304 + (25 - 15)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {v: 2, q: 3, s: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.7 and -0.2.\nAnswer: 5.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - x**2 + 5*x - 5. Let l be v(2). Let o be (2 - -7) + -30 + l. Let z be (-1 + 0 + -2)*-1. Solve 3*s = z*d, 0*s + o = 3*d + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -2*f. Let g be 1 + 1 + 2\/f. Suppose -5*c - 3*j + 6 = -5, g = 2*j. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-8)\/16 - (-942)\/4). Let k = 536 + u. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoohhphhhh. Give prob of picking 3 h.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -7728 - 37743. What are the prime factors of j?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12357262 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 9*h**4 + 128*h**3 + 19*h**2 - 128*h - 28 = 0.\nAnswer: -14, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (18 - 20)) + -6 - 26?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/(-8) - (71 + -63)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((((sqrt(275) - (sqrt(275) + 1))**2 - sqrt(275)) + 1 - sqrt(275) - sqrt(275)) + -6*((sqrt(275)*2 - sqrt(275)) + sqrt(275))**2)*-1.\nAnswer: 15*sqrt(11) + 6594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13 + ((-4340)\/45)\/(-2). Is 36 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3341 - -7680. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r**2 - 121*r - 121. Let u be w(-9). Let k(p) = p**2 + p. Let b(m) = -8*m**3 - 36*m**2 - 36*m. What is u*b(z) - 144*k(z)?\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5487 divided by 1829.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 - 0.6. Let y = 2 - -2. Which is the nearest to 0.1? (a) y (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1552? (a) -2\/3 (b) -6 (c) 1\/10 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3863 divide 29837812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Suppose u - 3 = -r, -7 = -3*r + o*u + 2. Let y = -3 - -3. What is the biggest value in y, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooffo. What is prob of sequence ffo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 588924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 4*g**2 + 4*g**2 + (-9*g**2 + 9*g**2 - 6*g**3)*(0 - 1 + 2)*(3*g + g - 5*g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 23433941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 7*g + 5. Suppose 11 = -4*u - 5. Let o be z(u). Which is bigger: -17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1008) + 0 + 0 + -3*sqrt(1008) - (-5 + 1*sqrt(1008) + 3)*-5) + -3)**2.\nAnswer: -576*sqrt(7) + 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134472229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 4*y - 60. What is i(-11)?\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5187, 11367, 17549, 23733, 29919, 36107?\nAnswer: 42297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 29*d + 3*d**3 - 5*d**4 + 39*d + 3*d**4 - d**4 in the form s*d**4 + v + b*d**2 + r*d + u*d**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, -2, -2381, 4.\nAnswer: -2381, -150, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 4. Let c(k) = -3*k - 9 + k - 2*k. Calculate 2*c(x) + 5*s(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krqrrnwkrxrqq. What is prob of sequence wr?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.83709809 to 3 decimal places.\nAnswer: -1.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174685 - 174685 - 14*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/71 + 1\/2. Let g = 0.1 - 0.1. Which is the closest to -2\/3? (a) g (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**3 - 563*k**2 + 413*k - 6396. What is p(62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 0. Let v be (5 - 9)*-1 + 5\/1 + -8. Sort c, 0.3, v in descending order.\nAnswer: c, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:56 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*z - q + 26, 4*z + 5*q - 28 = 0. Let f be (-588)\/(-210) + z\/10. Solve -2*m - 20 = -f*p, 0 = -2*p + 4*m + 5 + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*u**6 + 117*u**2 wrt u.\nAnswer: 31320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34241\/8433 + -9\/1874. What is the common denominator of j and 53\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3631.\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34639 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 27368 = 4*s, 0 = 2*i + 2*i. Let b = 54667\/8 + s. Let w = 35819\/16 - 2237. Find the common denominator of w and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 34 + 5 = -w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/3392 and -37\/240.\nAnswer: 50880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8946978 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:01 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30)\/((16\/(-10))\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 11:17 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -r. Suppose 13*s - r = 9*s. Suppose -3*c = -s*c + 1006. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -93. Suppose -2 - 43 = -y*h. Solve -3*g - h = -4*i + 3, -g - 4 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4494 - -7661. List the prime factors of n.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 177, 295, 447, 603, 733, 807, 795, 667?\n\"Answer: -5*x**3 + 47*x**2 + 12*x + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -17*h + 15. Solve -z - 3*v = -8, 5*z - 2*z = v - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1)*(-7)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/252)\/(1*12\/(-16)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 6, b: 1, c: 2, f: 7}. What is prob of sequence gf?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4115 and -532110.\nAnswer: -536225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141393 is divided by 92?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*v + 70 - 34*v + 19*v**2 - 68)*(0*v - v + 2*v).\nAnswer: 19*v**3 + 10*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 - 379 - 109 = 132*k + 931 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.263 * -5.\nAnswer: 96.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8388*-0.02.\nAnswer: -167.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*j - 7, 0 = 3*j - 4*l + 21 - 15. Let n(i) = 53*i**2 + 45 - 37 - 52*i**j - 12*i. Determine n(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 130915970.46 and -0.1.\nAnswer: 130915970.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29364000 rounded to the nearest one hundred thousand?\nAnswer: -29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Suppose 6 = -y*x, f - 14 = 4*x - 0*x. Suppose f*g + 3 = 1. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**5 - 15*u**4 - 80*u**3 - 160*u**2 - 6. Factor r(g).\nAnswer: -5*g*(g + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let q be 6\/9 + 32\/6. Let x = a + q. Solve 0 = -u - 1 + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 36037188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2831*q - 3 = -2832*q. Put q, -47, 0, -2 in descending order.\nAnswer: q, 0, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 - 18*t. Let u be x(-3). Let a = 0.12 + -0.02. Let n = 11\/4 - 3. What is the nearest to a in 3, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29028 + -395.\nAnswer: 28633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*v - 174. Let d = 27 + v. Suppose -2*x + 244 = d*t, 5*t = x + 3*x + 637. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (271 - (214 + 46)) + (2 - 1 - 37)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 10. Let k = 24 - 17. Let y be g(k). Let j be (-20)\/(-15)*(-18)\/12. What is the third biggest value in j, 4, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828688995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -7*k**3\/6 + k**2\/2 - 546*k. Let t(v) = -8*v + 2. Determine -3*j(q) + 2*t(q).\nAnswer: 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 2. What is the highest common factor of 171 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6652507\/52223463 + 2\/141527. What is the common denominator of 16\/21 and r?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -789.4 to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, o: 7}. Give prob of sequence oooo.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -8*v - 44*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1124 and 24715074?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 2 - 2782*j - 1588*j in the form r + h*j and give h.\nAnswer: -4370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -5 - -3) + -74 + 53 + 84\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2 + 39*m**3 - 40*m**3 - 2*m - 2 - 3. Determine b(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 98 - 2*m)*((4*m - m - m)*(-4 - 2*m**2 + 4) + 0*m**3 + 0*m**3 - m**3).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -56 (b) -5 (c) -0.02 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94197302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 74*o = -81*o - 163*o - 12996 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 587532, 1175023, 1762514?\n\"Answer: 587491*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58.96 + -59.13. Which is the closest to -4? (a) 0.4 (b) -2\/17 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -8 + 50 + -69\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943034762 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -12.8151625.\nAnswer: -12.8151625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 55*h**2 - 487*h - 3. What is a(9)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 887 or 886?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 0.00278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**(-14)\/(v**(-2\/23)\/(v\/(v*v**(3\/11))*v)))**(-15) assuming v is positive.\nAnswer: v**(103170\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1369 * -0.11896\nAnswer: -162.85624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 18. Determine b(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 96 - -81) + -106?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + z. Let w(i) = -671*i**2 + 122*i. Calculate -122*b(u) + w(u).\nAnswer: -549*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -71*r**3\/6 + 12*r**2 + 3*r + 27. What is the units digit of z(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 163*j**2 - 3*j - 3. Let m be o(1). What is the third derivative of 159*d - m*d + 19 - 19 + 3*d**5 + 7*d**3 + 43*d**2 wrt d?\nAnswer: 180*d**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 - 91710*c - 29808205 = 0.\nAnswer: -18011, -331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + m + 2. Let k be d(-2). Let h(t) be the third derivative of 0 + 0*t**k + 1\/240*t**5 + 0*t + 2*t**2 + 0*t**3. Factor h(y).\nAnswer: y**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5234\/(-8))\/((-15)\/60). Let m = d + 874. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -3, 6, 312 in descending order.\nAnswer: 312, 147, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 63*v**2 + 12*v + 5. Let r = -13 - -15. Let k be (r - 6) + (3 - -5). Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1051295 * -0.417\nAnswer: -0.0438390015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*t*y**5 + t*y + 2*t + 10*y**5 - 2022*y + 2 wrt y.\nAnswer: 11860*t*y**3 + 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/29 + -11\/87. Let x(v) = -v**3 - 12*v**2 - 13*v - 20. Let q be x(-11). Which is the closest to 1\/4? (a) -13 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98195017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 24. Suppose -19 = -5*q + 4*i, -o = -2*q + 3*i - i. Put q, 1, 0, -3 in decreasing order.\nAnswer: q, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3296 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/780 + 809*a**5\/65 + 654481*a**4\/13 + 4235801032*a**3\/39 - 33*a**2 - 2*a + 9. Determine x so that k(x) = 0.\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313813645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -204*x**3 + 4*x + 3. Let z be f(-2). Suppose z - 522 = 5*q. Suppose 0*c - c + 201 = 2*k, -q = -c + 2*k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 929 and 1?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**5\/60 - v**4\/4 + v**3 - v**2\/2 - 5. Let m(y) be the second derivative of s(y). List the prime factors of m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 3*l. Let z be j(0). Suppose 12*h - 13*h = z. Let s be (2\/(-4))\/((-21)\/(-12)). Which is the nearest to h? (a) -0.4 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167*g**6 - 2*g**4 + 106*g**3 - g**2 + 595*g - 16?\nAnswer: -20040*g**3 - 48*g + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**4*r + 76*q**3*r**3 - 137*q**2*r**2 - 5*r**3 wrt q.\nAnswer: 72*q*r + 456*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 71 + 57 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -3, -2\/3, -46\/5, 3\/4?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4133 or -4132?\nAnswer: -4132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -4 (c) 0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/100638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 51.5 and 102\/245 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. What are the prime factors of 2\/((-15)\/8 + y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khk when three letters picked without replacement from hhkkhkhhhkkhk?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1893755.\nAnswer: 7575020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1208 - 1204. Factor 3\/5*k**3 + 1\/5*k**2 + 1\/5*k**5 + 3\/5*k**z + 0*k + 0.\nAnswer: k**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/9)\/d*d))\/d**(-3)*(d**(-1\/4)\/d)**(-24)*(d*(d**(-2\/5)\/d)\/d)**(3\/2)\/(d*d*d**(-2\/27)*(d\/(d**2\/d))\/d*d*d) assuming d is positive.\nAnswer: d**(7763\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {b: 6, w: 2, m: 1, h: 2, z: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/3))**(-5))**(-3\/5)\/(r**(3\/5)*r**(-4\/9)*(((r*r\/r**(-1\/3))\/r)\/r)**38) assuming r is positive.\nAnswer: r**(-352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 325642, 651314, 976986, 1302658, 1628330, 1954002?\n\"Answer: 325672*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417676.\nAnswer: 2, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -1.6. Which is the smallest value? (a) -0.07 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let b(w) = -5*w**2 - w. Let r(g) = 49*g**2 + 9*g. Let l(u) = 6*b(u) + r(u). Calculate x(l(v)).\nAnswer: 19*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 - 958600*p**2 - 9585504*p + 23005440 = 0.\nAnswer: -239640, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341194660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.24 and 29427.\nAnswer: 7062.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**5 + 6*f**4 + 18*f**3 - 24*f**2 - 15*f + 18 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (sqrt(12)\/(sqrt(10)\/(sqrt(10)\/sqrt(2))))\/(sqrt(75) + sqrt(75)*-2 + sqrt(3) + sqrt(108) + (sqrt(108) - sqrt(108)*2)).\nAnswer: -sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = z. Let n be 63\/z*6\/(-18). What is the first derivative of -n*a**2 + 2 - 2*a**2 + 10 - 4 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 3*q**3 - 2*q**2)*(-202*q + 0 + 220*q + 1).\nAnswer: -54*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 35 = -4*x, -x = -5*b + 3*x + 5. Suppose 12 = 3*m + 27. Let f = 5 - 7. Sort f, 4, b, m in increasing order.\nAnswer: m, f, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8 + g**3 - 19 + 8 - 3*g**2 - g + 11. Let l be b(3). Suppose y + l*h = 79, y + 152 = 3*y + 4*h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1193 = 3*n - 5*a, -1983 = -5*n + 4*a - a. Is n a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -0.4 (b) -0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 11*q - 20. Calculate d(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*f - 4 = 47 + 2042 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/25 - -41\/225. Let u = 1.6 + -1.6. Let f = -0.1 + u. What is the closest to 0.2 in f, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppptpppppppt. What is prob of picking 1 t and 2 p?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) -3\/2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 12911171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22389, 22171, 21941, 21693, 21421?\nAnswer: 21119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/16*-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(1300) + sqrt(1300))**2 - (-2 + 2 + sqrt(52)\/sqrt(4))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2865 divided by -9610\nAnswer: -573\/1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 13. Let v(z) = -z + 67. Calculate 6*t(j) - v(j).\nAnswer: 7*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 1\/2*r**3 - 5*r + 0 + 1\/5*r**5 - 3\/2*r**2 - 1\/12*r**4. What are the prime factors of z(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 728 divided by 8\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_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: Express -12*a**2 - 1 - 8*a**2 - 34*a - 21*a + 19*a**2 + 0 in the form q + v*a**2 + y*a and give y.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12230+-0.2\nAnswer: -12230.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155322915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/396*-63*(3672\/119)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 871980917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1. Let q be ((-21)\/2)\/(-3) + 61\/122. Let j(d) = -1 - 3 - 9*d - 11*d**q - 5*d. Let k(u) = -4*b(u) - j(u). What is the second derivative of k(w) wrt w?\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 36\/4547 in ascending order.\nAnswer: -2, -0.1, 36\/4547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-18 - (-6 - 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*416.\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Suppose 9*y = 4*y - 15. Let r = y - -5. Let i(p) = 0*p**2 + p**2 + 0*p**r. Calculate n(i(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - a**2 + a + 2. Let l be d(-2). Let p(j) = -3*j**2 + l*j**2 - j - 2*j**2 - 9. What are the prime factors of p(6)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/3 + 5*y**4 + 21*y**3 + 49*y**2\/3.\nAnswer: y**2*(y + 1)*(y + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -0.4, 0.3, 2\/9, 0.36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2 + -1)*-70. Suppose -484 = -2*x - 2*p, 0 = x - 5*x + 4*p + 992. Calculate the greatest common divisor of x and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 78 = 30. Let k(x) = 6*x. Let l be k(-1). Let s = l + 51. What is the greatest common factor of s and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 7:03 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46325801?\nAnswer: 571, 81131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 12:10 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - 1) - (99 - 100)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22329, -89263, -200809, -356973, -557761, -803179, -1093233?\n\"Answer: -y**3 - 22300*y**2 - 27*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693729 is divided by 2693620.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 12 = -0*i + 4*b, 5*b = -4*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - a + 1. Let k be i(1). Suppose 0 = 2*x + x + k*x. Is x - (-376 - 2) - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-168)\/(-48))\/(7\/4). Let g(q) = -2*q**3 + 3*q - 2. Calculate g(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:42 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 32989572?\nAnswer: -6597914.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(121)*2 + sqrt(121))\/sqrt(11) - sqrt(11)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from nxpss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 2, p: 6, u: 3}. Give prob of picking 2 r and 2 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttmttmrrmiitttrtm. Give prob of sequence rmm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 913816.\nAnswer: -913816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4. Let f = 6.2 - 11.9. Let p = -6 - f. Sort w, -2, p in descending order.\nAnswer: p, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 301*c**4 - c**3 + 793*c wrt c?\nAnswer: 3612*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -249*g + 19. Let p(f) = -124*f + 10. Let r(d) = 3*o(d) - 7*p(d). Let n be r(1). Calculate the greatest common divisor of 270 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 141\/2. Calculate the common denominator of 44\/7 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80611 or 80589?\nAnswer: 80611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195770287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/10)\/((-54)\/(-135)). Let b(y) = -y**3 - 2*y**2 + 7*y + 24. Let w be b(m). Which is bigger: 32 or w?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/105*30\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-132)\/297 + 29515\/9 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2843, -2774, -2659, -2498, -2291?\n\"Answer: 23*t**2 - 2866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(1\/(2 - 1)). Let t be (n\/(-4))\/(7\/28). Let h be -1 - -22 - t\/2. Solve -2*o = -5*j + 28, -j - o = -6*j + h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 5) to base 4\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1448 and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 134*y - 8*y + 0 + 66*y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 75 = 3*a + 9, 3*a + 81 = -2*g. Let y(n) = n**3 + 30*n**2 + 30*n + 29. Let w be y(a). Let -3\/5*b**3 + 1\/5*b**2 + 2\/5*b + w = 0. What is b?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2. Let l(m) = -160*m**2. What is q(l(w))?\nAnswer: 51200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 178*z + 1789. What is r(-8)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 48 = 3*g, -3*y = -5*y + 2*g + 20. Solve -r = 3*l - 4 + 17, 3*r - 3*l = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 2)**2 + ((sqrt(208)*-4)**2 - sqrt(13)) + 2*(5 + sqrt(52)\/sqrt(4)*-4)**2)*2.\nAnswer: -106*sqrt(13) + 8870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 3.802.\nAnswer: 0.7604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 462, 2, 3, -1.\nAnswer: -1, 2, 3, 32, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/27*36\/120.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 3*t, 8*v + 2 = 13*v + 4*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.7339 + 12.94. Let u = a - 0.16533. Let w = u - 0.041. What is w rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 45 = 4*t. Let n(c) = c**3 - 14*c**2 - 14*c + 12. What are the prime factors of n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-576)\/72*5\/20)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 71*n - 215. What is the tens digit of z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182670048 to the nearest integer?\nAnswer: 13516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -233 (b) -0.1 (c) 1.5 (d) 0.3 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11486981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108405184 by 608.\nAnswer: -178298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3580, 4900, 6220?\n\"Answer: 1320*p + 2260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073324 rounded to seven dps?\nAnswer: -0.0000733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4 (c) -4 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*c + 6 = -248*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*z - 5)*(-2*z + 2*z - 3*z)*(-7*z + 5*z - z).\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9*f - 4. Let a be p(10). Suppose 3*h - 171 = -a*m + 2*m, 3*h = 5*m + 198. Calculate the remainder when h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssanananassaanaauasn. Give prob of sequence na.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -183, -381, -579?\n\"Answer: -198*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 10. Let b be l(-6). Sort -5, -2, b, 4 in ascending order.\nAnswer: -5, -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 10, k: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 564 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(704)*-4 + -5 + -1 + sqrt(704))**2 + ((-2*sqrt(198))\/(sqrt(6)\/sqrt(3)*-6 + sqrt(2)) + 1)**2.\nAnswer: -5705579\/25 + 17292*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 159. Suppose -21*l + 1118 = 22*l. What is n(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 9*y - 33822 + 33822.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(78) - (sqrt(78) - 4*sqrt(78)*-1)))\/(sqrt(6) + 1*sqrt(18)\/sqrt(3) + 1*sqrt(150))*5.\nAnswer: 40*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -109335 from -62.\nAnswer: 109273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 840751.2 decades?\nAnswer: 100890144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:29 PM?\nAnswer: 109","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1391777*b**2*j**3 - 2*b*j**3 - 331*b*j**2 + 251*j**2 - 2*j wrt b?\nAnswer: 2783554*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-431644)\/10974)\/((-7)\/(-3)*1\/1)?\nAnswer: -118\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-4\/9))\/o*o)\/(o**(1\/2)\/o)*(o*o**10)\/(o**(4\/3)*o) assuming o is positive.\nAnswer: o**(191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 1. Let v(j) = 6*j - 9. Let z(q) = q - 1. Let t(w) = -3*v(w) + 24*z(w). Give 7*i(u) + 2*t(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 42, -509 in increasing order.\nAnswer: -509, -26, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - y + 1. Let c(j) = 21*j**2 + 9*j - 10. Give -2*c(t) - 18*m(t).\nAnswer: 12*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1.42997836\nAnswer: 1.57002164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976*z**2 - 153 - z - 159 - 150 + 462.\nAnswer: -976*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*p - 6. Let k be (-6)\/21 + (-150)\/(-35). Sort k, p, 3.\nAnswer: p, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 19*t - 89007 = 0, -4*u - 56*t = -57*t - 118518. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6700?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-180) - 862\/(-252) and 103\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 26, -3, -5, 14, 0, 35 in descending order.\nAnswer: 35, 26, 14, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 1\/3*q**3 - 6*q**2 + 0*q + 1\/60*q**5 + 0 + 1\/6*q**4. Let s be b(-4). Solve 3 - 7 = s*p, 1 = -l - 2*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -2\/35*z**7 - 3\/25*z**5 - 1 - 9\/10*z**2 + 9\/10*z**4 - 3\/10*z**6 - 8*z + 4\/5*z**3. Determine p so that i(p) = 0.\nAnswer: -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3056630 to the nearest integer?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-403)\/(-39) - 9)\/(10\/(-120))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + (5 + -10 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**4\/24 + f**3\/4 + f**2 + 7*f - 8. Let j(i) be the first derivative of n(i). Factor j(t).\nAnswer: -(t - 4)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3079739350+29\nAnswer: 3079739379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**4\/4 + 3*f**3 - f**2 + 13*f - 16. Let t be s(9). Suppose -5*l + 25 = -0*l. What is the smallest value in t, l, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4 + 33)\/(-1))\/(-1) is divided by 0 + 7 + (0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1043696651 and 107.45.\nAnswer: 1043696758.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, 1, -0.64, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let k = -32 - -32. Let j(i) be the third derivative of 0*i + 0 + k*i**3 - 1\/12*i**4 + 2*i**2. Calculate l(j(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-1)\/(sqrt(175)*-2).\nAnswer: 7*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 - 97 = 0. Suppose -k - 4 = -f. Suppose -2*w = -m - 5*w + k, -4*m - 3 = -5*w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 690136451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -57*t. Let d(j) = 13*j**2 - 1. Calculate i(d(w)).\nAnswer: -741*w**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 147*h - 1423. Determine k(7).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 15 + 107*f**5 + 41 + 36*f**5 - 14*f**5 - f wrt f.\nAnswer: 2580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 + 12*s + 6. Determine f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28134202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 840122 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13546 - -1655?\nAnswer: 15423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 3*y. Let w be ((-1)\/2)\/(12\/(-600)). Suppose r - w = -4*r, -a = -4*r + 16. Let f be (5 - 8)\/((-6)\/a). What is b(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3451 - -0.1959. What is t rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 440.00935 - 440. Let i = g + -0.01. What is i rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19683 - -19682.91. Let x = 1 - -3. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h. Let a be r(4). Let g = a + -2. Is g smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-14) + 2\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from houothhorto. What is prob of picking 1 r and 2 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25231*u**2 + 22*u - 168259.\nAnswer: 50462*u + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*p = -1222, 3*o - p + 2*p = 918. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/153*3 + 712\/17. Suppose z = l + 25. What is the remainder when 50 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/12)\/4)\/(14\/(-4))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1637543, -3274425, -4911305, -6548183, -8185059, -9821933, -11458805?\nAnswer: -13095675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 12. Let k be l(-6). Let o(b) = -b**3 + b**2 - 2*b + 3. Let x be o(k). Let g = -49 - -54. Solve -u - 1 = 2*i, -x*i + 0*i = -g*u + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 1385, -4, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*a + 181*a - 393*a.\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1174\/43 + -604653\/22145. What is the biggest value in -10, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - (-32 - -18 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 98*z + 198. What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4259 - -0.02?\nAnswer: -4258.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 1 + 3*q - 5*q. Let h(v) = 3*v. Let m(y) = -4*c(y) + 3*h(y). List the prime factors of m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 2\/3, 1, -12.32, -0.5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -40. Suppose 3*b - 2*y - 19 = 0, -y + 0 = -b + 7. Solve -b*j = -o - 20, -z*o + 7 = j - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 3*j**2 + 1\/6*j**3 + 1\/120*j**5 + 1\/16*j**4 + 0 + 0*j. Factor y(i).\nAnswer: (i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1105748 and 104?\nAnswer: 28749448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1179*x**3*z + x**2*z + 86*x*z + 9*z wrt x?\nAnswer: 7074*x*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (19065\/(-527) - -29)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023086 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 152 = -58 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 39*l - 40. Let s be g(18). Let k(i) = 2*i**2 - 10*i - 26. List the prime factors of k(s).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149146 divided by 74573.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -28. Suppose 2*c = 4*o - 7*o + 26, 41 = 5*o + c. Suppose 0 = -2*m - 3*p + 8, 4*m + 2 = -p + o. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 - 3*g + 3*g - 5*g**3 + 6*g**3 + 10. Let a(o) = -o**3 + 4*o**2 + 3*o - 4. Let m be a(4). Let y be c(m). Solve k - y + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/560 + d**6\/360 + d**3\/3 + 2*d**2. Let u(v) be the first derivative of w(v). What is the third derivative of u(p) wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1489, 2, 1, -3, 3?\nAnswer: 0.1489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01422, -6, 27\/2, 6.\nAnswer: -6, 0.01422, 6, 27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1527 (b) 2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 47. Let t(o) = 24 + 15 - o + 3*o + 5*o. Let r be t(-5). Solve r*h + 0*h + 16 = j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1900 and 28.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3 - -2) + (112 - 113). Let i(k) be the third derivative of 1\/540*k**6 + 0 + 0*k**3 + 0*k + 1\/90*k**5 + 19*k**m + 0*k**4. Factor i(u).\nAnswer: 2*u**2*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 + 2*r**2 - 4 + 11 - 7.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -55572620996396.\nAnswer: -55572620996395.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18336776 - 5461195 = 101*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 101?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17746838 is divided by 1971869?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 280152299 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*k + 3*k - 4, -5*k = -3*n + 16. Let j(d) = 43 - d**3 - 9*d**n + 2*d**3 - 40 + 8*d. Let i be j(8). Solve 2*q - 4*p = -i*p, 20 = -5*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 85 - 95 = 2*h, -3*h - 15 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 + 58*t**2\/7 - 240*t\/7.\nAnswer: -2*t*(t - 24)*(t - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*u**4 + 2*b*u**2 + 4*b*u + 4094*b - 1224690*u**3 - 4*u**2 wrt u.\nAnswer: 24*b*u - 7348140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8494800 rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27)*(-6)\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283150815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -23*q**3 - 4*q**2 + 4*q. Let s be t(-6). Let l be 400\/6*s\/1. Round l to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553431010 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -27*p + 3. Suppose -n - 2*y = 6, 9*y - 27 = n + 4*y. Let b be n*-1*(-4)\/12. Is u(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003591 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 16. Let w(m) = -2*m. Let c be w(o). Factor z**5 - z**4 + 0 - 1 - c*z**4 - 10*z**2 + 5*z + 10*z**3.\nAnswer: (z - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7b (base 16) to base 14\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 - -153?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*g**2 + d*g*t**3 + d*g*t**2 - d*t**2 - 2*d - 6*g**2*t**3 - 1645*g**2*t**2 - 8065*g wrt g?\nAnswer: 6*d - 12*t**3 - 3290*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 551389 + 3?\nAnswer: 551392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/7 - 278*d\/7 + 19321\/7.\nAnswer: (d - 139)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6 + 2\/4)\/(-2). Suppose l = -4*x + 404 + 644. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285903 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/7 - 72*u**3\/7 + 186*u**2\/7 + 412*u\/7 - 528\/7 = 0. Calculate u.\nAnswer: -2, 1, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 100791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**3*k**(3\/7)\/k*(k\/(k**(-8)\/k))\/k*k**(-6) assuming k is positive.\nAnswer: k**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143617\/1620648 + 1\/4941. Calculate the common denominator of 7\/820 and m.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696\/(-468) - (6 - 7\/(91\/80)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:03 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1641658 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -117, -122, -127, -132, -137?\n\"Answer: -5*z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-30200.45\nAnswer: -30200.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 + 2842*q + 8508 = 0. What is q?\nAnswer: -1418, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24846186 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:38 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703 and 2035?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6601*z**2. Let h(m) = -7*m. Give h(p(t)).\nAnswer: 46207*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/2 + 19*h**2 + 409*h\/2 + 546 = 0. What is h?\nAnswer: -21, -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*r**3 - 98*p**3*r*v**3 + 3709*p**3*r*v**2 + 6*p**3*v**3 - 56840220*p**2*r**2*v**3 wrt r?\nAnswer: 6*p**3*r - 113680440*p**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*s - 6, 5*s + 0*s - 5 = 5*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + 176. What is the third derivative of -273*y - 8*y**2 + f*y + 15*y**5 wrt y?\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose 8 = -a - 3*g, -a - 2*g + g + w = 0. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36940)\/62798*17\/8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61321 or 61330?\nAnswer: 61330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 9*c + 2. Let m = 24 - 16. Let h be q(m). Suppose 7*w = i + 2*w - 25, -i + h = -2*w. Solve i = 5*a - 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -8710.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 2968?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/864*18*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 22 + -4 - -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -p - 6, -2*t - 2 - 6 = -3*p. Is 29418\/p - (-21)\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -1)*572\/858.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r + 9. Let w(i) = -4 + 5*i - 4*i + 2*i. Let b(q) = -10*q - 5. Let t(p) = -p. Let o(j) = b(j) - 3*t(j). Let c be o(-2). Determine c*w(d) + 4*m(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*c = -219*c - 84786. List the prime factors of c.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1165, 2, 77 in ascending order.\nAnswer: 2, 4, 77, 1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 139, 231, 323, 415, 507, 599?\n\"Answer: 92*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 5*v + 2. Suppose 2*d + 10 = -y, 0 = -2*y + 3*d + 1. Let l = y - 0. Calculate r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 1 + 6*l**3 - 32*l + 15*l**3 - 6*l**3 + 46*l**2.\nAnswer: 15*l**3 + 46*l**2 - 27*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-77)\/1100) + 10\/(-120).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 4*r**5\/15 - r**4\/24 + r**3\/6 + r**2\/2 + 2. Let p(v) be the second derivative of c(v). What is the units digit of p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-28)\/16)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 4*r + 4. Suppose 4*n + 4*a - 3 = a, 0 = -4*n - a + 1. Let m(f) = -2 - 141*f - 1 + 5*f**2 + n + 138*f. Calculate -4*m(k) - 3*x(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.158 - 8.158. Let h = 4.4 + -2.4. What is the fourth biggest value in -1\/3, -0.2, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -9) + -6 + 36 - 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*(-1 + 13). Suppose 7 = -4*u + 11. Suppose 5*z + u = g. What is the least common multiple of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*z**6 - 19*z**2 - 3*z wrt z.\nAnswer: 4320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1990\/9 + 221. What is the third smallest value in 3, 2, -2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + -0.2. Let r be (-1)\/36 + (-2)\/(-8). Let n = r + 1\/9. What is the closest to -1 in n, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i - 7. Let q(z) = i*z + 2*z + 0*z. Let p(w) = 28*w**2 - 29*w**2 - 165 + 165. What is q(p(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + 12*q - 9. Let j(p) = -p**3 + p**2 - 2. Determine h(t) - 5*j(t).\nAnswer: 5*t**3 + 12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2 + d + 2 + 0*d. Calculate the lowest common multiple of (-2)\/(((-1)\/(-2))\/(-1)) and q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23752 + -12812. What are the prime factors of g?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - x = -1278. Let l = -109 + x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363 and 176992266?\nAnswer: 176992266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2184*q + 381*q + 4*q**2 - 6*q**2 + 10*q in the form b + w*q**2 + n*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -780458 and -0.033?\nAnswer: 25755.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 9*n - 4. Suppose -43*i - 135 = -58*i. Give l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from {k: 1, b: 4, r: 4, j: 6, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 174549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56798232 and 20032.\nAnswer: 454385856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48914519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) - (-2 + sqrt(99) + 5) - (2 + sqrt(11) + 2 + 0).\nAnswer: -7 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1204748108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -0.03585\nAnswer: 0.02151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18347 + 24012.\nAnswer: 5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**9\/5040 + l**5\/24 - l**4\/4 + 3*l**2. Let c(q) be the second derivative of h(q). What is the derivative of c(d) wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Let y(o) = o - 720. Give d(y(g)).\nAnswer: -2*g**2 + 2880*g - 1036800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1973, 2, 1, 3, -11 in ascending order.\nAnswer: -1973, -11, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55571 - 28405. Let w = 10448 - v. Is 49 a factor of w\/(-52) - 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2\/((-16)\/34).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 16797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1aaa + -5b18?\nAnswer: -402a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 9*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z**4 + 4*z**2 - 4*z - 5. Let k(n) = 30*n**4 - 7*n**2 + 7*n + 9. Let j(m) = 4*k(m) + 7*p(m). Differentiate j(b) with respect to b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -14, -4, 6?\n\"Answer: 10*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 3052 = 2684. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14.4 and 7\/239349 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttussussttsttrtc. What is prob of picking 1 s and 2 u?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/14, 4, 0.5 in descending order.\nAnswer: 4, 2, 0.5, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let d be v(-3). Let a(f) = 11*f - 3. Let g(n) = -5*n + 1. Let i(s) = 4*a(s) + 9*g(s). Calculate i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u = -78. Let y(b) = -6*b**3 - b**2 + 9*b + 1. Let i(x) = 24*x**3 + 3*x**2 - 37*x - 3. Let t(s) = u*y(s) - 6*i(s). Factor t(f).\nAnswer: 4*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 31*c**2 - 66*c - 226. Let j be x(-29). Let o(w) = w + 3. Let y be o(-6). Put j, y, -1 in increasing order.\nAnswer: y, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 5*s + 5, -2*s = h - 0*h + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 275, 1127, 2551, 4547, 7115, 10255, 13967?\n\"Answer: 286*c**2 - 6*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from xssxsxuxxssssssss?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let w(t) = -11*t**2 + 2 + 8*t**2 - 2*t + 2*t**2. Let h(a) = -a**2 - 3*a + 3. Let o(x) = -2*h(x) + 3*w(x). What is o(g(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 319639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 204443536 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200887.4 millimeters to micrometers.\nAnswer: 200887400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -59. Let w(j) = -j**3 - 9*j**2 - 10*j + 13. What is the units digit of w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/2, -0.2, -3.7, 1\/148 in descending order.\nAnswer: 3\/4, 1\/2, 1\/148, -0.2, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + 18224\/134 + -1*(2 - 1)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w - 4 - 13*w + 7*w**2 - w**3 - 4*w**2 + 8*w. Suppose 0 = 3*s - 10 - 2. Let i be x(s). Which is smaller: -10\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - -42. Suppose 10*l + 14 - p = 0. Let s(d) = d**3 - 7*d**2 - 9*d + 6. Let y be s(8). Sort l, y, 4 in descending order.\nAnswer: l, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 125*m + 4 - 23 - 159 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*a + 9, -4*a - 6 = 14. What is the least common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.242 - -2.00199875. Let v = j + 0.24. What is v rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) 0.8 (d) 0 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (51\/(-68))\/((-1)\/8). Solve 4*y = -2*x + 4, a*y - 8*y + x = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(25\/4)\/g)\/g*g**35\/g*g assuming g is positive.\nAnswer: g**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 23720.\nAnswer: 23720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -4. Is (r + 99)*(10 + -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w**2. Let c(b) = -73188*b. What is c(u(d))?\nAnswer: -1171008*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 48 + 170*s**2 in the form c*s + w + g*s**2 and give g.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(1\/10)*h\/h**(-14)*h**(-7\/4)\/(h*h**7\/h*h) assuming h is positive.\nAnswer: h**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 63*f + 62. Let x be w(-62). Which is bigger: x or -4\/151?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 14*g**2 - 6*g**2 + 152 - 5*g - 159. Let c(l) = l**2 + l + 1. Let b(p) = a(p) + 5*c(p). Differentiate b(s) with respect to s.\nAnswer: 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27857730 - 0.0167.\nAnswer: -27857730.0167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*s**3 - 9*s.\nAnswer: -390*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n. Find the first derivative of -2*d**4 - 3 + d**4 - 6*d**4 + n wrt d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.14524 litres to millilitres.\nAnswer: 72145.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:36 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 4. Let x(u) = -4 + 13*u - 11*u - 1. Let h(v) = -5*o(v) + 4*x(v). Give h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 130. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111281 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 373835*x - 4. Let h(k) = -2*k**2. Calculate p(h(y)).\nAnswer: -747670*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 15459 - 15452. Which is the second smallest value? (a) 164\/3 (b) 1 (c) 2\/13 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -3*j - 50*j**2 + 0*j**3 + 0*j**4 + 109\/10*j**5 - 30. What is the first derivative of d(z) wrt z?\nAnswer: 654*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -494489 smaller than -494489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -281*v**6 - 22*v**3 + 20440*v**2 wrt v.\nAnswer: -33720*v**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0825 + -2\nAnswer: -2.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v*v*v)**(-22)\/(v**(-1\/10)\/v**(-2\/7)) assuming v is positive.\nAnswer: v**(-3863\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1240*z**2 - 204*z**3 - 27*z**3 + 229*z**3 + 314*z**4 wrt z?\nAnswer: 7536*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219810?\nAnswer: 2, 3, 5, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 664623067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 16*p + 9*p - 22*p.\nAnswer: 3*p + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1043271 in descending order.\nAnswer: 3, 1, -1043271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4904 take away 3920?\nAnswer: -3920.4904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0490 (base 13) in base 15?\nAnswer: 166c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3252 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1574 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeaeaaeeeeaeeeaaaee. Give prob of picking 1 a and 2 e.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191075*b**2*d**3 + 3*b**2 - 13*b*d**2 + d**3 - 88 wrt d?\nAnswer: 1146450*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + -23 + 10 + 26 + 7 - 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14*-2 + (3 - -1). Let v = y + 17. Let w = v - -15. What is the greatest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let u(p) = 2*p**2 + p. Suppose -5*i + 7*i + 2 = 0. Determine i*o(s) + u(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 10. What is the smallest common multiple of (-68)\/(-7) + (-4)\/(-14) and r(15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u + 23. Calculate n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 + 10*h + 16. Let o be p(-9). Let c = o - -125. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124773867?\nAnswer: 3, 151, 91813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + a = 3, 4*k + a = 3*k. Solve k*h - 5*v = 20, -8*h = -4*h + 2*v + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -9. Suppose -u + 31 = 4*r. Suppose r*f - 32 = 3*h, 0 = -5*f - 3*h + 10 - 2. Sort 2, f, -4.\nAnswer: -4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) - 9\/((-81)\/6). Let z(t) be the first derivative of 2\/3*t**3 + 1 - t**2 + r*t. What is the second derivative of z(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11204.\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 2622 + 5249 - 2626 + 3*w**2. Let f(h) = -9*h. Calculate q(f(d)).\nAnswer: 486*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 29\/(-12)*-3. Suppose -i*p + 9 + 33 = 0. Calculate the remainder when 11 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 1\/8, -0.24, 5, -2\/7?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0944 + 0.1056. What is the closest to y in 0.2, 43, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let q(m) be the second derivative of -m**6\/180 - 17*m**4\/12 - 49*m + 1. Let c(u) be the third derivative of q(u). Determine n(c(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:47 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**3 - 44*y**2 + 47*y + 220. Give o(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418\/95*-5 - -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 62\/(-5) - (8\/(-10))\/2. Let q be (c + 3)*(-6)\/9. What is the third derivative of -29*y**2 + 14*y**2 + y**6 + 15*y**q wrt y?\nAnswer: 1920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**4 - y**3 - 3*y**2 - y + 2. Let p(z) = 6*z**4 + 6*z**3 + 15*z**2 + 5*z - 10. Let b(k) = 22*n(k) + 4*p(k). Solve b(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0 (c) 6.6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/44 and ((-162)\/(-405))\/((-11)\/40).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714896413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4\/3 + 185899*n**3\/3 + 185897*n**2\/3 - 185899*n\/3 - 61966 = 0?\nAnswer: -185898, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**6\/270 + z**5\/90 + z**4\/36 - 21*z. Factor n(t).\nAnswer: -t**2*(t - 3)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87520636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/387 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 5. Calculate s(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let s(a) = -5*a**2 - 12*a - 1. Let w be s(-2). Suppose 2*v - 6 = w*v. Let g(t) = -4*t**2 + t - 1. Give v*x(j) - g(j).\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + 5*(sqrt(405) + -1 + sqrt(405)))**2 + -3 + (sqrt(20)\/(1*sqrt(4)*1))**2.\nAnswer: -720*sqrt(5) + 40521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*l + 252 = -572*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33\/28 - -10\/7. Let l be 4\/(-14) + ((-31)\/14 - -3). Which is the nearest to m? (a) l (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1 + 23 = -3*o + 9, 2*o = -10*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5121 divided by 113\nAnswer: 5121\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(704) - -1*sqrt(704)) + sqrt(704)) + 0)**2 - (-3*sqrt(1100)*-1 + (-6*(sqrt(88) + sqrt(88) + sqrt(88)*-2 + sqrt(88)) - sqrt(88))\/sqrt(8)).\nAnswer: -23*sqrt(11) + 2052864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*w - 27 = 0, -g + 5*w - 4*w + 16 = 0. Factor 10 + 9*r**2 - 2*r + 11 - g - 7*r**3.\nAnswer: -r*(r - 1)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 265818, 265793, 265722, 265581, 265346, 264993, 264498?\n\"Answer: -4*k**3 + k**2 + 265821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 8:16 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/66 and -25\/289512.\nAnswer: 3184632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000001010?\nAnswer: -1000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7062, 7054, 7042, 7026, 7006?\nAnswer: 6982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20258851900 to the nearest 1000000.\nAnswer: -20259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2551735 greater than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195232 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -562*n - 344 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -906 != -905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + -17 + -2. Let d be -2*f\/(-8)*-1. Suppose d*y = y. Solve y = -4*u + 3 + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64112 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -368*d - 1113 - 727 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1331442)\/(-30) - (-4)\/(-10). Suppose -y = a + 255619. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868 divided by -1?\nAnswer: -4868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1172 + -4.9068. Let v = y - -5. Let f = v + 0.0135. Round f to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6651?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13413 = -487*f + 10952 - 5829 - 13625 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 42*u + 2. Let q(i) = i - 1. Calculate j(h) + 3*q(h).\nAnswer: -2*h**2 - 39*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1651 from -13.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/84*6\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + 173 + 138*d**2 - 85 in the form u + m*d + z*d**2 and give z.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 8. Let k be f(6). Solve -2*s - k = -3*x + 5, 3*x - 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*v + 0 + 1\/3*v**3 - 20*v**2.\nAnswer: v*(v - 63)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -37*m + 0 + 41\/12*m**4 + 0*m**2 - 27\/2*m**3. Find the second derivative of l(q) wrt q.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17356972 to the power of 1\/2, to the nearest integer?\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (8265*c - 3404*c + 659 + 643 - 1303)*(-9*c - 4*c + 20*c) in the form w + h*c**2 + k*c and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.102, -0.1, -33.1, 559 in descending order.\nAnswer: 559, 0.102, -0.1, -33.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003603799 to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631514625?\nAnswer: 3, 5, 7, 113, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-99))\/((-30)\/(-1320)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/36 - p**3\/18 + p + 2. Let x(r) be the first derivative of y(r). Suppose x(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.753 - -0.047. Let s = h + -70.8. Let c = 67.8 + s. Are c and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 9*d - 2. Let x(f) = 6155*f**2 + 33237*f - 7386. Determine -3693*m(s) + x(s).\nAnswer: 13541*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15554 - -15761. Sort 3, 0, v in ascending order.\nAnswer: 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 103*c + 91. Is 23 a factor of b(67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8898 by -3.\nAnswer: -2966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*k - 3*k. Suppose -4 + 0 = -4*w, 0 = x - k*w - 12. Let l = 16 + x. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -103, -149, -195?\n\"Answer: -46*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, x: 2, f: 10}. Give prob of sequence fiff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.219971 weeks?\nAnswer: 5576238.4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31b9 (base 13) to base 4.\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/48*8*3\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u + 2. Suppose -2 = -n + 2*n. Let a be j(n). Suppose 4*h - 6*h = -24. Solve -4*k - h = -5*z, 5*z - 5*k + 4*k = a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.5 - 897.5. Let o = t - -945. Let f = -18.76 - 0.24. Sort f, o, 4 in decreasing order.\nAnswer: 4, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3611*q - 14459. Calculate c(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5290?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11103864.\nAnswer: 2, 3, 127, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 16\/(-10))\/(-1). Let u be 10\/(-36)*-6*(-1)\/10. What is the nearest to h in 2\/5, u, -2\/3, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15897 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166707*s**3 - 57409*s**3 - 183374*s**3 + 126536*s**3 - 101483*s**3.\nAnswer: -382437*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-166)\/(-415))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -547873, -547875, -547877?\n\"Answer: -2*g - 547871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + (-4*sqrt(22)*-1 - sqrt(22))\/(sqrt(396)*-1 + sqrt(396) + sqrt(11))*-6)**2 + -3.\nAnswer: -180*sqrt(2) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 (base 8) in base 6?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 364 and 260?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33289494*y**2 - 23768009 wrt y.\nAnswer: -66578988*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*s - 203*s + 36*s - 491*s.\nAnswer: -868*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 8*b - 11. Let s be h(5). Let d(g) = -20*g. Let v(o) = 7*o. Let j(t) = s*d(t) + 11*v(t). Let m(r) = -r + 0*r + 2*r. Determine j(m(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -7)\/((3\/(-3))\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:52 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127756404 divided by -68?\nAnswer: -16584653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1256.9 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -227572 - 5807.51\nAnswer: -233379.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 32. Let s be 1\/(-4) + (-14)\/(-56). Calculate the remainder when c(s) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 11 + 5 - 13*s**3 + 0*s**3 + s**3 - 2*s**3 + (2*s**3 - 2 + 2)*(-1 - 3 + 3).\nAnswer: -16*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -752 (c) 1\/7 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23880 is divided by 770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -958, -1941, -2922, -3901, -4878, -5853?\n\"Answer: b**2 - 986*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 3. Let t(r) be the second derivative of 7*r - 5\/6*r**3 - 2*r**2 - 3. Determine 6*c(m) - 4*t(m).\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 35.541. Let i = -0.009 - x. Let f = -0.450168 + i. Round f to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 203000?\nAnswer: 203001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 806 and 13423?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 7*u**2. Let g(f) = -2*f**3 + 4*f**2. Let b(x) = 5*x**2 - 20*x + 7. Let z be b(4). Determine z*g(p) + 4*d(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i + 18. Let f = 9 + -29. Let h be (f\/30)\/((-4)\/30). Let u(x) = 333*x + 261. Let t(r) = h*u(r) - 72*y(r). Differentiate t(k) with respect to k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - z. Let b(u) = 2*u**2 - u + 1. Give -4*b(g) + 3*v(g).\nAnswer: -2*g**2 + g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3, 0, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 3*j**2 - 2*j - 3. Determine h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3\/(-1 + -2)) + 19. Solve 1 = -5*v - x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38cbb (base 13) to base 10\nAnswer: 105441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + 5 + (sqrt(300) - ((sqrt(300) + 3)*6 + sqrt(300)))**2 + -2*(sqrt(300) + -1 - sqrt(300)) + 3*(sqrt(300) - (sqrt(300) + 1)**2) + sqrt(300)).\nAnswer: 6420*sqrt(3) + 30690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -2 (c) 0 (d) -1\/5 (e) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k - 663 = -166*k. Solve 2\/13*z**k + 32\/13*z + 24\/13 + 14\/13*z**2 = 0 for z.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u**2 + 9*u + 18. What are the prime factors of o(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:39 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z = -1883*z - 54360 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1584) + sqrt(44) + sqrt(308)\/(sqrt(7)*-3))\/(-2*sqrt(12)\/sqrt(3) - (sqrt(4) + sqrt(16)\/(sqrt(4)*3))).\nAnswer: -37*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let n = 0.1 + 0. Let m = 0.3 - n. Sort -5\/2, h, m in decreasing order.\nAnswer: h, m, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1644 and -4852293.\nAnswer: -4853937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41084925?\nAnswer: 3, 5, 7, 139, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2. Let n be w(2). Suppose 0 = n*o - 4*o, -4*x + 8 = -4*o. Suppose x*i = 2*u + 48 + 20, 0 = 4*u + 12. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*q - 56 = 0, 4*q + 65 = -5*k - 0*q. Let i be 2\/k - (-20)\/9. Calculate the greatest common factor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 85. Suppose -d + h = d. What is the units digit of 2\/3 + d\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2 + 21*g**2 + 4*g**3 - 2*g**3 + 6*g + 6 - g**3. Let x be u(-12). Is (x\/(-6))\/(-2 - (-16)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -b - 0*b + 1, -8 = -2*t. Let n be b\/(-2) - 3\/(-2). Is (-1)\/((-5)\/1720) - n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -1)*-3 + 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17425881 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-11720)\/300)\/293)\/((-3)\/(18\/28)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24012341114 + -4?\nAnswer: 24012341110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = v, 4*v - g = 2*g + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(304\/24))\/((-864)\/(-43776))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2345957250?\nAnswer: 2, 3, 5, 7, 13, 37, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214893674.\nAnswer: 2, 31, 1259, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 13. Let q(j) = 4*j**3 + 6*j**2 + 7*j - 1. Let i(u) = 7*u**3 + 12*u**2 + 13*u - 3. Let l(d) = -3*i(d) + 5*q(d). Determine l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, 619, 2910, 6521, 11452, 17703?\nAnswer: 25274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84578275 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 1\/(-5) + 169\/(-78) and -97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (2*sqrt(78) + sqrt(78) + sqrt(78)))*-5)\/sqrt(6).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 226892*m**3 + 6440213858*m**2 - 295889857200*m + 3401353620000.\nAnswer: 2*(m - 56700)**2*(m - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122 - (19 - 38)) + 25?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2) - (-8 - (-7 - -4)). Let o(r) = -11*r + 8 + 5*r - j*r**3 - 14. Let c(x) = x**3 + x + 1. Give -6*c(h) - o(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 24 + (-9 + 27 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (7 + -4) - 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)\/(17\/51)*-77. Is -230 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 95*n**2 + 70*n - 23. Is w(-34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*o - 1570 = 1060 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79\/45 + -4\/45. What is the common denominator of t and 63\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (236\/658)\/(-59)*(-7)\/2*2.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424570622.\nAnswer: 2, 23, 71, 223, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3743, 18, -2, -5, -1 in increasing order.\nAnswer: -3743, -5, -2, -1, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19997, 19972, 19931, 19874, 19801, 19712, 19607?\nAnswer: 19486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 20436?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003099 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-4 + 1 + sqrt(2299) + -2 + sqrt(2299)*-1*-6 + 0 + 1 + sqrt(2299) + sqrt(2299))**2.\nAnswer: -744943 + 3168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 2*i + 35. Sort i, -2, 6 in ascending order.\nAnswer: -2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 - 30*m**3 + 13*m**2 + 480*m - 464 = 0.\nAnswer: -4, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 160*z**4 - 2*z**3 + 29*z + 3. Let a(o) = -319*o**4 + 5*o**3 - 58*o - 5. Let m(n) = 2*a(n) + 5*y(n). Find the second derivative of m(f) wrt f.\nAnswer: 1944*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -3*i**2 - 4. Let h(c) = c - 2. Let b(v) = -4*v + 9. Let a(t) = -4*b(t) - 18*h(t). What is a(m(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -0.1, 147505?\nAnswer: 147505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -345, -361?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/4 + 7*n**3\/3 - 3*n**2\/2 - 11*n - 1380. Determine d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 10. Let w be y(-4). Factor 4*s - 9*s + w*s + 3*s**3.\nAnswer: 3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((54\/(-4))\/3)\/((-15)\/30). Calculate the highest common divisor of p and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19)**(-44)*((m**(-1\/27)*m)\/m*m)\/(m**(2\/15)\/m) assuming m is positive.\nAnswer: m**(-112613\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 16. Is ((p + 11)\/(-2))\/(6\/(-1774)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 49, 51?\n\"Answer: 2*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 93*a**2 - 47*a + 155. Is h(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -5\/6*n**3 - 4*n**2 + 0 + 0*n + 1\/8*n**4. Differentiate w(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -27)*(0 + 3 - 2). Which is smaller: r or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29, 6 in increasing order.\nAnswer: -2, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6*0.21.\nAnswer: -1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14274, 57089, 128448, 228351, 356798?\nAnswer: 513789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 3*k**2 + 2*k. Let d(y) = 8*y - 3. Let t be d(3). Suppose -3*s - 3 = t. Let h be ((-3)\/4)\/((-2)\/s). Determine z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303391438*p**3 - 1438*p - 6658.\nAnswer: -1820348628*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183 - -259. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 875182 + -14010225\/16. Let m = b - -461. What is the common denominator of m and 69\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28852501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**4 - h**3 - h**2 - h - 1. Let n(j) = -25*j**4 - 185*j**3 + 445*j**2 - 195*j + 20. Let s(q) = n(q) + 20*r(q). Factor s(w).\nAnswer: -5*w*(w - 1)**2*(w + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 12. Suppose -3 + l = y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*q**4 + 7*q**3 - 33*q**2 + 70453029 wrt q.\nAnswer: -316*q**3 + 21*q**2 - 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*r - 14. Find the second derivative of 2*q + 5*q + r*q + 8*q**3 - 2*q wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**4\/12 - 6*o**2. Suppose -4*n = -9 - 3, 4*f = -4*n + 28. Let u(b) = -5*b + 5*b + f*b. Give u(w(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/4 - (-3)\/(-12). Let v = q - -8. Suppose 2*j = v, 0*a = 2*a - 4*j - 6. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.8102 meters to millimeters.\nAnswer: 779810.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -34. Suppose 3*x - u = 6*a - 3*a, 0 = 3*a + 15. Suppose 4*z - 14 = -x*w + 4*w, -3*w = 9. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 30. Suppose j*q = 6*q + 142. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9598 + 10318. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 - 11*j - 6. Let c be v(-3). Suppose c = -k - k + 16. Solve 0 = 4*u + k, 2*u = -l + 2 - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 191 (b) -4\/7 (c) -0.3 (d) -0.08 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149280, -301087, -452894, -604701, -756508, -908315?\nAnswer: -1060122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77720432?\nAnswer: 2, 4857527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.255 in -1, 2\/7, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23079 less than -2515549\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*(sqrt(396) + 1*sqrt(396))*2 + (sqrt(396) - 3*(sqrt(396) + -2) - (-1*sqrt(396) + sqrt(396))*-4)))**2.\nAnswer: 3888*sqrt(11) + 128628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -78 (b) 0.2 (c) -5 (d) 19 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 6*w**2 + 38*w + 158. Give v(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:05 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((-6020)\/3225*(-9)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 21834670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.025 and -0.2?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7578 + 0.2?\nAnswer: 7578.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.33953 millilitres in litres?\nAnswer: 0.01333953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 58689 = -56117 + 23617. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*f - 9, 1824*x + 22 = -3*f + 1829*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 210. Let q be (-14)\/z + 1\/(-3). Let b = 4 + -6. What is the closest to q in b, 3\/8, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31\/2 (b) -1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4*c**2 + 7*c - 5. Let s be f(4). Suppose -h - 17 = -2*m - 2*m, 4*h = m - s. Suppose 2 - 7*o + m*o + 0 + 2*o**2 = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 9*i - 2. Let c be 9 + (3 - 17) + 1. Determine n(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1026 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-11))\/(123\/(-4059)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 3. Let z be q(5). Suppose 0 = 2*o + z, -f - 12 = -0*f + 4*o. What is the tens digit of (f - (-44)\/(-8))\/3*-24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 776, 1553, 2330?\nAnswer: 3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 4604353.\nAnswer: 100\/4604353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + -0.9. Let u = l - 2.6. Let a = u - -0.9. Which is bigger: 0.7 or a?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 6866409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*x - 12, -27*l + x = 771741 - 771906 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = 87*j + 4*j - 92 - 226. Solve 24\/7*p**2 - 22\/7*p - 2\/7*p**j + 0 = 0 for p.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 31*x**2 + 3*x - 3. Let u(n) = 30*n**2 + 4*n - 4. Let s(t) = -4*b(t) + 3*u(t). Let d(r) = r**2. What is s(d(h))?\nAnswer: -34*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 - 2*c - 2. Let o be w(-4). Suppose h + i + 1 = 0, 4*h - i - i = 14. Suppose 0*t + o = h*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + 6\/10. Let s = 596 + -20848\/35. Let f = 2\/35 - s. Which is the second smallest value? (a) f (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*b = 105, -93 = -2*r + 3*b - 2*b. What is the tens digit of (60\/r)\/((-2)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a + 5*a - 21760. Let v = -282 + a. Let o = -2095 - v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 28.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5)\/l*l*l*l**(1\/5))**(6\/5))**(-48) assuming l is positive.\nAnswer: l**(-2016\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 170. Let a = 111 + w. Suppose -a*m + 3*q - 21 = -5*m, m = -4*q + 8. Solve -2*y = -3*c + c - m, 4*y - 26 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c - 31. What is r(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -292, -735, -1342, -2119, -3072, -4207, -5530, -7047?\n\"Answer: -q**3 - 76*q**2 - 208*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*o + 17*o + 5*o)*(4*o - 3*o - 2 + 0*o).\nAnswer: 55*o**2 - 110*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + d + d + 4*d + d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 230\/14 + 6\/(-14). Suppose -s + 3*s = h. Calculate the smallest common multiple of s and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/3)*i*(((i**(8\/3)*i*i)\/i)\/i)\/i*(i\/((i\/i**5)\/i))**(-1\/2) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.081 and 21225230154.9?\nAnswer: 21225230154.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 14, -2 in descending order.\nAnswer: 88, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22004 - -b8?\nAnswer: 22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 60607022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**3 - l**2)*(3 + 0 - 2) + 2*l**3 + 2*l**3 - l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 58848057.\nAnswer: 5\/58848057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 299612584 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + 23155?\nAnswer: 23300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5)*x*x*((x*x\/(x\/(x\/x**(-3)))*x)\/x)\/x*(x\/((x\/(x\/x**(2\/5)*x)*x)\/x))\/x*x**(-1))**50 assuming x is positive.\nAnswer: x**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 185548 * 26\nAnswer: 4824248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 9. Give b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let h be (1\/(1 - 2)*-1)\/(-1). Let o(w) = 10*w. Let v(b) = -b. Let z(s) = h*o(s) + 5*v(s). Determine p(z(k)).\nAnswer: 450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + (-42)\/4. Let x = u - -15. Suppose -5*r + 160 = 5*q, x*q - 24 = r + 79. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-136)\/(-17) + (-1)\/(-15)*-124).\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = v + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4020 - -1.8519\nAnswer: -4018.1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 44. Let y = i + -6. Solve -3*x + k = 10 - 3, -y*x - 4*k = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p**2 - 91*p**2 - 46*p**2 to the form v + i*p + j*p**2 and give j.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*y**(2\/9)*((y*(y*y**(-5)\/y)\/y*y*y*y)\/((y\/(y*y**(-3\/2)))\/y))\/y**32 assuming y is positive.\nAnswer: y**(-599\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -297084\/5 + 59417. Find p such that 0*p - y*p**3 + 0 - 4\/5*p**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968585291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/32? (a) -21 (b) -5 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by -37\nAnswer: -345\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 873207929\/546 + -1599281. Let a = m - 5\/78. Solve 0 - a*n**3 + 9\/7*n**2 - 4\/7*n + 1\/7*n**4 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 44*u = -175 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)\/c)\/(((((c\/c**(-6))\/c)\/c*c)\/c)\/c))\/((c*c**(-1\/23)*c)\/((c*c**(-2\/31))\/c)) assuming c is positive.\nAnswer: c**(-23604\/3565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39893?\nAnswer: 7, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 15087*i.\nAnswer: i*(i + 15087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose 2*z - 2*v = 10, -1 - 18 = -m*z - v. Suppose -z*l + 38 = -38. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 8*f + 5. Let r be h(-7). Let x be (-4)\/r*(-22)\/1. Calculate the lowest common multiple of 18 and (x\/10)\/(3\/(-15)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 124101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 182*g**2 + 67*g + 1265. What is the hundreds digit of v(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**3 - 4*v**2 + 23*v + 11. Let a(i) = -3*i**3 - 2*i**2 + 12*i + 6. Give 11*a(w) - 6*o(w).\nAnswer: -3*w**3 + 2*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 13*l - 1 - 2 - 2*l as a + w*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -7. Let v(w) = 2*w**2 + 2*w + 2*w - w + 4*w. What is the units digit of v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4448 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10660, -19274, -27888, -36502, -45116, -53730?\n\"Answer: -8614*x - 2046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 700*y - 12441. Calculate m(17).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24515027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766 = 2*n - t, -3*t = 12*n - 13*n + 388. Calculate the remainder when n is divided by 50.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2)*220\/220?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -97\/12206129?\nAnswer: -97\/12206129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h - 2. Let b be r(-3). Let w = b - 2. Is 14\/(0 - w\/38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x - 22*x**3 - 12*x - 13*x**3 + 30*x.\nAnswer: -35*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49014745 divided by -5.\nAnswer: -9802949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -751 - -966. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1838 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 292, 546, 800, 1054?\n\"Answer: 254*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = f - 2220, -3 = 2*y - 3*y. List the prime factors of f.\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**3*l - 4*g**3 - g**2 + 9*g + 2*l - 6484 with respect to g.\nAnswer: -15*g**2*l - 12*g**2 - 2*g + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49768 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minutes before 4:27 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7613703?\nAnswer: 3, 281989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 3*t - t + 2*t + 2*t + 1 to the form c*t**2 + f*t + n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26506527 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddvvvvddvu. Give prob of sequence uuvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2239*g + 2919. Is 115 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -7) + (7 - (2 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -90. Suppose q + 4 = 0, -d + v*q = -q - 41. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 15841.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/20 - 74\/(-8). Suppose c - f = 0, -2*f - v = -4*f. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2621 + 1033?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Suppose h = -u*a - 4, -7*h - 2*a - 2 = -2*h. Suppose h = -3*d + 2*i - 4*i + 49, 2*d = 5*i + 58. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 7. Let c(a) = -3*a + 7. What is 4*c(o) + 3*x(o)?\nAnswer: -3*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 14218338046991?\nAnswer: 14218338046990.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14590 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: Is 0 at most as big as 2\/31537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 9, h: 3, j: 3}. Give prob of picking 3 j.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -641c + -1?\nAnswer: -6420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v. Let r(z) be the third derivative of -z**5\/20 - 12*z**2. Determine r(m(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (1 - 11 - -1). Let t(c) = -46*c + 3. Let n(q) = -61*q - 1. Let k(l) = 3*n(l) - 4*t(l). Give k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083 + 523 = 40*g - 12*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 6*h**3 + 5*h**5 + 32*h**4 - 37*h**4 - 4*h**5 - h**2 + 3*h**2 + 2*h**2 = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12314445792.9 + 12314432459.29699925. Let g = 13331.403 + j. Let c = 2.2 + g. Round c to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 86 - 36 + 26 = 0. Let x = -0.35 + -0.05. Which is the second biggest value? (a) -0.5 (b) -4 (c) x (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574556 is divided by 266.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3 - 7*b + 6 - 7. Suppose n - 6 = -4*p, 3*p + 5 = -2*n + 2. Let h(o) = -8*o - 5. What is n*g(i) + 5*h(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -30.8\nAnswer: -3.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163994 is divided by 200.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 9*m + 15*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/7)\/(42\/210)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 29*z - 86. Let q be n(-22). Suppose -148 = 2*h - q. Does 74 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48024 and 15088?\nAnswer: 3937968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let g be l(-2). Let m be (-4)\/(-6) + 2\/g. Let u be (2\/(-4) + 0)*-10. Solve m*y = y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265654 is divided by 9160?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118131 + 466829\/4. Let i = m + 1407. Find the common denominator of i and -65\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 6*b + 9. Let i be p(7). Suppose 0*t - 994 = -i*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 24*h - 26*h = 12, -4*h = -7*n + 12. Solve -n*d = x + 11, x + 0 = -d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.93 - 9.43. Let o = 6 + -4. Let f = 1 - o. Which is the second biggest value? (a) h (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + x - 20 = 0, -4*q + 6*q - 4*x = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47047 is divided by 11114.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s + 3*u = 89, 109 = 2*s - u. Suppose 300 = 4*l + s. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61243122 (base 7) to base 2.\nAnswer: 10011011101111001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 16) + (5 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlddvdhhddghdldldld. What is prob of picking 1 v, 1 h, 1 d, and 1 l?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4801540 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-183)\/((-7137)\/(-1560))*(-12)\/(-24).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*z - 5893 = 5286*z - 161511 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256 + 261. Let x be ((-2)\/3)\/((-4)\/42). What is the derivative of -x*m - k - 10*m + 35*m - 13*m wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1364, -5492, -12388, -22064, -34532?\nAnswer: -49804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2. Let c(z) = -26*z - 20. Let u(i) = 4*i + 7. Let v(n) = -5*n - 10. Let l(x) = -3*u(x) - 2*v(x). Let g(b) = 2*c(b) - 28*l(b). Give d(g(r)).\nAnswer: 48*r**2 - 288*r + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 2:58 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 8397*x - 8394*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4\/5, -6, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 1116 - 1368)*(l - 3*l + l).\nAnswer: 2574*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -268935, -268947, -268959, -268971, -268983, -268995?\n\"Answer: -12*s - 268923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -118. Solve 0*r = -2*r - 5*u + 3, f = 4*r - 3*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-1)\/(6\/(-10)). Let o be (25\/15 - 1) + (-7)\/(-3). Suppose 5*d + r*i = -259985, -d = -o*i + 7*i + 51988. Round d to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/6*7\/(3990\/(-20))*6?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = g + 88. Let b(n) = n**g + 6*n**2 - 860 + n**3 - n + n + 851. Determine b(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (97 + 296542\/(-3082))\/((-15)\/(-69))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Suppose 24 = 5*o - 4*z, -2*o + 2*z - z + 9 = 0. Suppose r + l - 4 = 0, -w = -3*r - o*l + 5. Solve r*x - x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*n + 36596, -5*n + 26364 + 10246 = -5*q. List the prime factors of n.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(460\/667) - 31)*(2079\/6)\/9.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**3\/3 - 11*w**2\/2 - 9*w + 32. What is z(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 8) to base 16.\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35 bigger than 0.6912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 67, 1, -3, -1\/1782, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**4 + 1246022*y**3 - 74392*y**2 + 228?\nAnswer: 96*y + 7476132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.6929. What is t rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197392 < -196808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 - -14. List the prime factors of a.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z. Let a(h) = -1691*h**2. Calculate a(q(s)).\nAnswer: -204611*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Let c(k) = -27*k**3 - k**2 - k + 1. Let q be c(2). Let m = q + 1101\/5. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601200 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(-5) - 1 - (-1032)\/45 and 9\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 14) in base 11?\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 52 - 194916*z + 194940*z + 49)*(2*z - z - 3*z) as p + m*z**2 + n*z and give n.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**3 + 2*x - 1. Let d be t(1). Suppose 0*q + 15 = d*q. Let w = 2.1 + -2. What is the closest to w in 0.3, q, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5 = -u - 2, 4*t - 19 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -45 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -27. Let w be 186\/18 - 2\/(-6)*z. Suppose 42 = 3*a + 4*a. Solve 4*o + w = a*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 4187911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/(-104))\/((-82)\/(-536)) and 57\/2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/8 + (-94710)\/176. Let p(n) = -n**2 - n + 10. Let f be p(3). Does 31 divide h\/((1 + f + 2)*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 + 11 + 0*y**2 - 5*y + 2*y**2 - 3*y**2. Let x be c(-7). Suppose -q - 3*q - 3*v = -4, -q = 5*v + 16. Put 1, q, x in descending order.\nAnswer: q, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80680, 80411, 80142, 79873, 79604?\nAnswer: 79335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*u**2 - 30*u**2 + 77*u**2.\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-50)\/(-152)) + 9\/(-45)*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 2239515*r**2 - 417951166509*r - 417953406027.\nAnswer: -3*(r - 373253)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {b: 3, l: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(117)\/(sqrt(45)\/(sqrt(40)\/sqrt(8))) + ((sqrt(390) + 1*sqrt(390) - sqrt(390))\/sqrt(10))\/(1*sqrt(243)))**2.\nAnswer: -100*sqrt(13)\/3 + 10145\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a - 35*a + 7*a + 9*a.\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 2. Which is the nearest to 0? (a) 3\/5 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 83385*n = 83390*n + 6, -12 = 2*q + 2*n for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2250+-23132\nAnswer: -25382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/9*144\/240.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 10 + 3)*(83 + 43*u - 170 + 89)*(3 + 0 - 4) to the form v*u + n and give v.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 182.571219\nAnswer: -182.571219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*h - 234*h + 19 = -5*y, -h = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o + 119. Is 19 a factor of k(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 9*j**3)*(0 + 0 + 4)*(3 - 2 + 0) - 3*j**3 - 6*j**3 + 2*j**3.\nAnswer: -43*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108.82379236 + 0.17693764. Let j = 221 - 330. Let a = q + j. Round a to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -5. Let q = k + 3.5. Let h = -0.343 + 0.243. Which is the nearest to 3? (a) h (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3ca (base 13) to base 14\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2 + (-341)\/6. Suppose -6*l = l + 420. Let k = y - l. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:44 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 at least as big as -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 124*b - 1905 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73.76 + 88.49. Put a, -4, -1, -0.3 in decreasing order.\nAnswer: a, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7524 divided by 57.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 2*r = 2*t + 5, 5*t - 5 = 5*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 a factor of 510965983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsfbsbsfsssbsf. What is prob of sequence fsfb?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, 1 h, and 1 c when four letters picked without replacement from hyocn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.577 - -3.577. Which is the closest to -2\/5? (a) v (b) -3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21984768147 + 6?\nAnswer: -21984768141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 1:58 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102453 or -102513?\nAnswer: -102513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8f79 (base 16) to base 11.\nAnswer: 25660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 21*r**2 + 10*r - 28. Let a be i(-19). Suppose -o + 8*o = a. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*a + 2*q + 2, 1 = -a - q. Let p(j) = j**2 + 2*j. Let z be p(-3). Solve -3*b = 0, -a*b - z = 5*v + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 10863*m - 10860.\nAnswer: -3*(m - 3620)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 398 - 6*k + 0*k + 377.\nAnswer: -3*k - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/6*63\/14. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 6298065.\nAnswer: 2\/6298065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**3 + 7312*f**2 - 2361484*f = 0?\nAnswer: 0, 419, 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -3. Let x(k) = -k - 3. Let a be x(-6). Suppose -n*w + 2*f + 15 = -a*f, -2*f = -4*w + 12. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27398112 and 7828032.\nAnswer: 54796224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 276*z = 281*z - 18, 0 = -2*m - 3*z - 23 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(24\/11))**(1\/4)*g**(-2\/17)\/(g**(-7\/8)\/g) assuming g is positive.\nAnswer: g**(3445\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 26, -1, 2 in ascending order.\nAnswer: -26, -1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 7. Suppose 4*h - 63 = -47. Let l(o) = -o + 1. Determine h*l(j) - n(j).\nAnswer: j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/(-4))\/(3\/(-4)). Let a = l + 29. Suppose -3*d = -5*m - 107, -2*d + 3*d + m = 25. What is the remainder when d is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -3, -6, -16 in decreasing order.\nAnswer: 5, 3, -3, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 - 2*m + 2931. List the prime factors of h(0).\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**3\/2 + 6*p. Let r(j) = -4*j**2. Calculate r(i(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.072*-22\nAnswer: 23.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110089 and 10.\nAnswer: 1100890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 4:14 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -175 - 3?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, n: 2}. Give prob of sequence ww.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -52?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Suppose x = 5*v + 14 + 21. Let t = 12 + v. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 3*v + 5*v + 9*v as q*v + w and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199631699 to the nearest integer?\nAnswer: 14129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 64*k - 65*k. Suppose -k*x + 146 = 44. Is (-10780)\/(-24) - 1\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**3\/6 + 15*a**2\/2 - 34*a + 2. Let x = -4 - -10. What is the smallest common multiple of t(-3) and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249752451?\nAnswer: 3, 13, 599, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200211130 (base 4) to base 11.\nAnswer: 40a200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let z = 8524591\/8 - 1064144. Let r = z + -1428. Is r >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + p + 21 = -h, 3*h + 2*p - 12 = 0. Suppose -w = -1 - h. Let l be (w + 3)\/(4\/26). Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9822545.9 to the nearest 100000.\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 6.99 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -33, -2, 3 in ascending order.\nAnswer: -33, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/56)\/((-1)\/(-3)). Suppose -c + 4 = 1. Let g(l) = -l**3 + 4*l**2 - 3*l + 1. Let u be g(c). Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10129*z - 20252*z - 3 + 10129*z.\nAnswer: 6*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121120121 - 102111102?\nAnswer: -1001002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-1)\/((-3)\/(-6)*(-12)\/696)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -44 (b) -34 (c) -2 (d) -0.4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1c6 (base 15) to base 3\nAnswer: 120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520328 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 a = -29 + 33. Solve 2*z - 12 = a*s, 3*s = -s - 3*z - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 618164257 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.076463mm in nanometers?\nAnswer: 2076463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k - 44. Let i be n(-6). Let z be i\/55*(0 - (-5)\/(-7)). Which is the biggest value? (a) -2 (b) 7 (c) z (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -14. Solve -y + h*q = y, 3*q = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(1*(0 - 1)). Suppose n - 5*l = -v - 13, -l = -2*n - 4. Let m = 45.5 + -44.5. Which is the closest to n? (a) 5 (b) -6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2162, 1934, 1704, 1472?\n\"Answer: -f**2 - 225*f + 2388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69 and 50336.\nAnswer: 50267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktktkkttttkwkwtktttt. What is prob of picking 1 k and 2 t?\nAnswer: 77\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**3 + 14*f + 12*f + 71*f**3 - 153*f**3 + 24*f - 50*f.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90097?\nAnswer: 7, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5384 - 5381. Solve -12*y + 1 = -16*y - 5*n, -4*y - q*n + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748*d - 4585 - 1689 = 11678 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3134 divided by -2\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2. Let g(h) = -4*h**2. Let c(b) = -2*g(b) - 3*x(b). Let j(s) = 5*s**2. What is j(c(t))?\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -33.5. What is the closest to 2\/5 in -3, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1522756 + 222.\nAnswer: 1522978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 3. Let i = m - -8. Suppose 4*l + l = 0. Put i, -1, l in decreasing order.\nAnswer: l, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*r**3 - 60 - 11*r - 455*r**4 + 60 + 457*r**4 as h*r**3 + y*r**4 + f + g*r**2 + a*r and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 16\/39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**5 - 111*f**4 - 873*f**3 - 2193*f**2 - 2226*f - 792 = 0.\nAnswer: -3, -2, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735338 is divided by 122556.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -17\/21, 0.6, -1, 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6940 and 15268.\nAnswer: 76340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361471 > 1361509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from znzdddzzz.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 873*v**2. Let l(p) = -290*p - 7. What is l(z(q))?\nAnswer: -253170*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64354*v + 15919*v - 361946*v - 93665*v.\nAnswer: -375338*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.147, -2, 5, -7, 4 in decreasing order.\nAnswer: 5, 4, 0.147, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/(-368) + 15\/8. Suppose 3*l - 5*k - 1 = 33, 5*l - 5 = -j*k. Let h(u) = -2*u**2 - u + 5. Determine h(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2454 + -12268\/5. What is the second smallest value in q, 7\/5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.953097 minutes to weeks.\nAnswer: 0.01557074375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-2*2\/(-8). Solve -4*k - 1 = z*w - 7*w, 0 = 5*w - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h - 16*h + 49*h**2 + 2640*h**2 to d*h + n + f*h**2 and give f.\nAnswer: 2689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -19*w**4\/4 - w + 14. Let g be a(-1). Solve 4*v = 2 - g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25276 and 2277154?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h - s + 11, -22 = -3*h + 2*s. Suppose 0 = 9*q - 3*q - 156. Suppose 5*a = -2*d - d - q, 5*d + 6 = a. Put h, a, -3 in decreasing order.\nAnswer: h, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 11*s**2 - 7*s**2 + 16*s**2 as p*s + b + l*s**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339298 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6 - (-738)\/513\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54404368*s**5 + 2*s**4 - 233364259*s.\nAnswer: 1088087360*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -13*c**2 - 2\/3*c**3 + 0*c + 0 + 1\/8*c**4. What is the remainder when 30 is divided by r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -30 + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggpggppgpggpg. What is prob of picking 4 g?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/188*(-4)\/(-2)*(35 + -32)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3408?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528734 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-2) - 1)*(-20)\/7. Suppose -2*u + 104 = -m. Let a(z) = -20*z - 1. Let q be a(-1). What is the greatest common divisor of q and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2028, -4031, -6030, -8025, -10016, -12003?\nAnswer: -13986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 0. Let f(p) = -27*p**3 - 4*p**2 - p + 4. Let i be f(-2). Suppose j = -m - m + i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 131*s**2 - 211*s + 1461. Is y(129) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 134. Solve 4*h - 3*h + 8 = -g, -g + 4*h = -q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 815, 3456, 10631, 24608, 47655, 82040?\n\"Answer: 378*r**3 - r**2 - 2*r + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 4*k**4 + k**4 + (94*k + 2354 - 2354)*(62*k + 4*k**3 - 62*k).\nAnswer: 373*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5*p - 10. Let t be q(4). Let l(d) = -d**3 - 7*d**2 - 3*d - 3. Determine l(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6307 + 5*d**2 - 5*d + 5*d + 6311.\nAnswer: 5*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 13*t**5\/5 - 2*t**3\/3 + 6. Find the third derivative of c(o) wrt o.\nAnswer: 312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1001380929 from -4.\nAnswer: -1001380933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 2839.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 + 10*t + 15. Let r be o(11). Solve -p - r*k = -6, 2*k + k = -3*p + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 2\/13, 2\/9, 0.22?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, -1\/5, 1\/13, -3 in descending order.\nAnswer: 1, 1\/13, -1\/5, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 27*z + 73. Let p be o(-16). What is the closest to 2 in -1\/9, p, -2\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/120 + 151*q**5\/120 - 5*q**4\/4 - 12*q. Let u(l) be the third derivative of h(l). What is the hundreds digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - 0.8. Let t = 7 + p. Let u = 3.0375 + -0.0375. What is the closest to u in 0.2, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4*(11 + -3). Let a be (-3 - (-24)\/9)\/((-5)\/(-45)). What is the common denominator of -95\/4 and (a - -3)\/i + (-3)\/(-75)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 8, 1, -2 in decreasing order.\nAnswer: 8, 2, 1, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 165 = 15*r - 27. Solve 0 = -2*d - 2*b + 12, -r*b + 4*b = -4*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:05 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58.7 - 52.7. Which is the closest to r? (a) -2\/15 (b) -4 (c) 1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.91327 to 1 dp.\nAnswer: -34.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*m = -o + 6, -m = 3*o - 10. Let a(z) be the third derivative of -z**4\/12 - 2*z**3\/3 - z**2. Let y be a(-3). Sort o, -1, y in decreasing order.\nAnswer: o, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2332062 divided by 5\nAnswer: 2332062\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 97 + 141. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3494 + 24460\/7. Let n be 18\/(-20) + (-16)\/(-40). Which is the smallest value? (a) 0.3 (b) 0.06 (c) n (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/3)\/(-3)*27\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 2168*z**2 - 125436*z + 675432.\nAnswer: -4*(z - 477)*(z - 59)*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -39, -58, -79?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8344054 by 28478.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14708684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swzjszjzkwkzjgkjw. Give prob of picking 2 s and 1 k.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 304136308*f\/3 - 11562361730483858\/3.\nAnswer: -2*(f + 76034077)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3064, -6098, -9136, -12178, -15224, -18274, -21328?\nAnswer: -24386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -6. Suppose 5*l - p = 16. Suppose -5*q + 13 = -2*a, l = 3*q - 5*a + 3. Let m(o) = 2*o**2 + 2*o. Let r(c) = -2*c**2 - 3*c. What is q*m(u) + 2*r(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*w + 18*w = 317*w - 19032 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0361011975 minus -3?\nAnswer: 3.0361011975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. Let d be ((c - -2) + -10)*1. Let o = 78 + d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 34*z**2 + 137*z - 161. Does 9 divide w(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543136, -1086288, -1629474, -2172712, -2716020, -3259416, -3802918, -4346544?\nAnswer: -4890312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1624924 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 422*h**3 - 407*h**3 + 4720*h**2 - 4715*h**2)*(-2*h - h + 0*h).\nAnswer: -45*h**4 - 15*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*t + 4, 3*t - 12 = -2*a - t. Let y(u) = -a*u + 2*u + 1 - u. Let m = 102 - 103. Let w(x) = 3*x**2 - 15*x + 15. Give m*w(p) + 15*y(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361940*g**4 + 283*g - 2691 wrt g.\nAnswer: 4343280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71489 and 7192647?\nAnswer: 481907349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -40 (c) 683 (d) 2\/11 (e) 5 (f) 6 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4199932913?\nAnswer: 11, 381812083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930748866 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/15596 and 30\/7.\nAnswer: 15596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-99)\/(-77))\/((-16)\/(-84))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*f - 2707, 0 = 3*b + 3*f - f - 2710. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*((-1)\/2 + 0). Suppose 6 = 6*d - 18. Solve -v = d*h + 2, q*v - v - 5*h + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 = 4, -4*g + 173 = -5*c. What is the remainder when 183 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4209 + 7*q**2 - 7793 + 3877 as u*q + n + c*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-3)\/(-9)*-6. Let x(y) = -2*y + 6. Let a(m) = -3*m + 7. Let z(q) = v*a(q) + 5*x(q). Let f(i) = -i**2 + 3*i + 3. Calculate 2*f(o) - 3*z(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12859)\/668)\/((-28)\/(-8))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 653785335?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t + 1 + t - 2)*(5*t - 5*t - 4*t**2).\nAnswer: 60*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3797*x**5 - 5605*x wrt x.\nAnswer: -75940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15618*m + 1413*m**3 + 4 - 4 - 15618*m.\nAnswer: 1413*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(5 - 9*t + 1 - 5) in the form o*t + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -111?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1523478079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*w = -691 + 271, 2*p - 218 = -5*w. Which is smaller: p or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-290697\nAnswer: 58139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -110111101?\nAnswer: -110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1995009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18152 and 3520.\nAnswer: 7986880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403381 is divided by 194?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -9. Let m = f - -3.1. Let n = 0.084 - m. Round n to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -1\/3, -0.4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 22568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61749 and 338476.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4353, -17425, -39215, -69723, -108949, -156893, -213555?\nAnswer: -278935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276745 + -276743. Let h = -963\/7 + 138. Factor -2\/7*j**s + 4\/7*j**3 - 1\/7*j**5 + 0*j**4 + 2\/7 - h*j.\nAnswer: -(j - 1)**3*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -583111616 by 64.\nAnswer: -9111119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g + 3*a, -2*g + 19*a = 15*a - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -3\/5 (c) 0.06 (d) -0.072 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 1404?\nAnswer: 1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l + l**4 + (-2*l + 2*l - 2*l**2)*(0 + 0 - 2*l**2) - 13742*l**4 - 31890*l**4 - 17905*l**4 - 19*l**3 + 19*l**3 + 17624*l**4.\nAnswer: -45908*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133302 + -20013?\nAnswer: 3113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0)\/(o**(1\/4)*o))**(7\/3)\/((o**(-3)\/o*o\/(o*o*o**(-4)))\/(o\/(o*((o\/(o*o**0))\/o)\/o))**(7\/4)) assuming o is positive.\nAnswer: o**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901889 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5 - 4. Is 4 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f - 17*f + 5*f + 2*f + 0*f - f + (-2*f + 0 + 0)*(1 + 1 - 1) - 2 - 2*f + 2 - 2*f + 2 - 2 - 2*f + 4 - 4 - 3*f + 28*f + 4 - 10*f.\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 2*c)*(-250*c + 22*c - 66*c) - 2*c**2 - 3*c + 3*c.\nAnswer: -590*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, y: 4}. What is prob of picking 2 s and 2 y?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 407 - 407 + h. Let z(f) = 16*f**2 - 6*f. Let v(p) = 95*p**2 - 35*p. Let i(u) = 6*v(u) - 35*z(u). What is o(i(g))?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320 - 320.0984. Let t = o + 0.181. Round t to 3 decimal places.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2446169.5435191 - -0.4564809. Let u = -2446151.000045 + a. Let m = 19 - u. What is m rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let f(i) = -i**3 - 2*i**2 + i + 2. Let j be f(y). Suppose -2*g = g - j. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let u = -0.271 - 4.949. Let q = 1.22 + u. Which is the biggest value? (a) 0.03 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -481*c**3 + 9*c**2 + 11*c - 3. List the prime factors of f(-2).\nAnswer: 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/13474856 and -45\/231328?\nAnswer: 53899424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 q when four letters picked without replacement from ppqptltq?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = -5*b, -3*b - 2*b - 25 = 0. Suppose 2 + 18 = -2*q. Let t = q + n. Which is smaller: t or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*(1*2)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2079 (base 14) to base 6\nAnswer: -41523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -761 minus 3690?\nAnswer: -4451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2166, 4469, 6894, 9429, 12062, 14781, 17574?\n\"Answer: -2*t**3 + 73*t**2 + 2098*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41123)\/(-419254) - 3\/18) + 2\/(-38)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let z = 2 - -6. Let j(m) = -12 + 12 - z*m**2. Calculate j(f(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 8. Suppose 3*k - 2*f = u, -3*f + 4 = 2*k - 4*f. Solve -z + 21 - 17 = k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233123 (base 10) in base 5?\nAnswer: 24424443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -10, 6, -1, 5, -5, -22 in increasing order.\nAnswer: -22, -10, -5, -1, 5, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805 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: Let n(q) = -185*q - 22. Let b be n(-3). Suppose -2*o = x - b, -10 = x + x. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*h - 2226 - 1250 = 398 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 12*q = -172. Suppose 9*k - 329 = -q. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 16*z**4 - 256*z**2 - 512*z.\nAnswer: 2*z*(z - 4)*(z + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/36 and -121\/203796.\nAnswer: 203796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/486)\/((4\/(-10))\/(6\/10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2418, -0.3, -4 in increasing order.\nAnswer: -2418, -4, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 27, 4, -3.\nAnswer: -3, -1, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, 2\/7, -3, -1\/44?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-43 + -2 + 5). Let y = -22 - f. Calculate the least common multiple of y and 571\/5139 + 89\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8*(-2)\/(-6). Suppose 1 + 9 = o. Suppose -h = -4*x - 5*h + 8, -x + 5*h = o. Which is the nearest to w? (a) -0.1 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -27. Let d be -1*3*20\/(-15). Suppose -d*n - 5*k + 1 = -14, 5*n = 4*k + 70. What is the remainder when n is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + f**2)*(3*f - 3*f + f**2) + (130 + 151 - 310)*(f**4 - 3*f**3 + 3*f**3).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3691*s**4 + s**3 + 113*s**2 + 2*s + 100406?\nAnswer: -44292*s**2 + 6*s + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-36)\/4*-2*(-35)\/(-126).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*d**2 + 8*a**3*d*p**2 - 5*a**3*p**2 + 2*a**2*p**2 - a*d**2*p**2 + 4*a*d**2 + a*d*p**2 wrt a?\nAnswer: -6*d**2 + 48*d*p**2 - 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 50*r - 65*r. Let m(v) = -2*v**2 - 6*v - 5. What is m(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8*(-1 + -1). Let r = 0 + b. Suppose 0 = 2*a - r*a + 11. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33578049.\nAnswer: 3, 11192683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 12\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*t = 1019, -m - 5*t - 54 + 315 = 0. Let g = -1412 + 1414. Suppose f + 4*q - g = 62, -4*f = -2*q - m. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 5, a: 2}. Give prob of sequence ar.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 1. Let u(c) = -2*c - 3. Let s(f) = i(f) - u(f). Let r be s(0). Find the third derivative of h**r + 2*h**2 + 4*h**4 - 3*h**4 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -16, 12 in ascending order.\nAnswer: -16, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-8\/7) assuming s is positive.\nAnswer: s**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**5\/60 + 3*g**2\/2 + 1. Let b(f) be the second derivative of w(f). Let d(j) = 2*j**2. What is b(d(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s + 4*k + 108, -s - 5*k - 19 = 0. Let b = -25 - s. Solve 1 = -b*t - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z**4 + 650*z**3 + 0*z**2 - z**2 + 0 - 2*z + 2 - 669*z**3 in the form o*z**2 + q + p*z**3 + w*z + c*z**4 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 121*d**2 + 8722*d + 743. Determine w(-72).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -762*x**5 - 63*x**2?\nAnswer: -45720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64136.4um to nanometers.\nAnswer: 64136400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 8*n = 2058. Let w = 1733 + n. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476455 is divided by 11080?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 553102053?\nAnswer: 553102045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4352, -9656, -14964, -20276, -25592, -30912?\n\"Answer: -2*g**2 - 5298*g + 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33\/14 - -15\/7. Let r = 5.02 - 0.02. What is the second biggest value in r, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 21756*z = -21752*z + 11, j = -3*z + 4 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ippiipipppppi. Give prob of sequence pip.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*s = -17724, -4*o - 8*s = -3*s - 17719. What are the prime factors of o?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3*k**2\/2 - 7*k + 235. Let n be (-161)\/(-21) + -7 - 6\/9. Give q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15340815 and 12568.\nAnswer: 122726520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 21. Is (4\/y)\/((-3)\/(-42)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47250 = 72*s + 198*s. What is the remainder when s is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y - y + (16 + 30 + 11)*(0*y - y + 0*y).\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 + 11. Does 5 divide (m\/(-6) + 0)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70479 is divided by 2203.\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5)*2 + 72\/5. Let i(n) = 2*n**2 - 26*n - 23. Let c be i(m). Find the second derivative of 19*t - c*t + 10*t + 2*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a day in hours?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21 - 594*g + 22 + 33. Let x be p(-17). Suppose 22*a = 18*a + x. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - (-5 + 1)) + 8. Suppose 9*j - 380 + 263 = q. Calculate the remainder when 309 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874931.\nAnswer: 19, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -111\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5, 0.8, 1\/11, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 32*h + 37*h = 20, 0 = 4*w - 50*h + 200 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from tataaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 444 + -3113\/7. Suppose 60 = -0*w + 4*w. Let v = 13 - w. Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/30 + t**5\/30 - 4*t**3\/3 - 25*t**2. Let m be s(4). Suppose -2*d - 62 = -m. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6766 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e79 - 2?\nAnswer: -e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:23 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12633?\nAnswer: 3, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24472650 * 0.6\nAnswer: -14683590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.2 (b) 549 (c) 1 (d) 0 (e) -32 (f) -5 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 48. Let q = 23 + -23. List the prime factors of i(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329802 (base 10) to base 15.\nAnswer: 67abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 64. Suppose 18*a = q - 2. Let x(s) = 3*s + 1. Let d(f) = 2*f + 1. Calculate a*x(u) - 5*d(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - j - 12 = 0, -2*n + 4*j - 6 = -0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**2 + 6*a - 46. Is c(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.3. Let u = 23 - -37.9. Let a = -61 + u. What is the second biggest value in c, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.14 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.696719 months in years?\nAnswer: 1.89139325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 + 31. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-1 + 0))\/(-5 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1390 and 20171402.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -858 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/900 and 179\/120.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 5)\/(-4*2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/(-2)*(-12)\/60. Suppose -21 = j + 4*y, 26 = 5*j + 4*y + 67. Which is the nearest to 2? (a) j (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.4 less than -0.97?\nAnswer: -48.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/4)\/(5\/30). Let d = k + -16. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 7. Let b be v(-5). Let a(t) = t + 2. Let c be a(-2). Let m be (c\/(1*-2))\/(-2). Is b at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325889 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**6\/5 - 217*c**5\/10 - 1103*c**4\/18 - 517*c**3\/9 - 74*c**2\/3 + 4467*c. Solve l(m) = 0.\nAnswer: -1, -1\/3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikiikdkiiikiiikiii. What is prob of sequence ik?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/((a*(a*a**(-1\/36))\/a*a)\/a)))\/a)\/a)\/(a**(-15)*a)*(a\/(a\/(a**8*a)))\/a*a*a**(2\/3)*a*a)**(-2\/13) assuming a is positive.\nAnswer: a**(-887\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225148895?\nAnswer: 3, 5, 1008353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115, -217, -295, -343, -355, -325, -247, -115?\n\"Answer: u**3 + 6*u**2 - 127*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7))**(-3\/14)\/(p**12*p)**(-31) assuming p is positive.\nAnswer: p**(809\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 22*n + 102. Let y(p) = 2*p + 1. Let s(m) = 3*d(m) + 24*y(m). What are the prime factors of s(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + 2) - (4 + 1*sqrt(99)))**2.\nAnswer: 672*sqrt(11) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -286*y**5 - 460188*y**4 - 47974418*y**3 - 2327988*y**2 + 2011968*y = 0.\nAnswer: -1497, -112, -3\/13, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39874, 79748, 119622?\nAnswer: 159496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.857 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3441\/406 - -11\/58. Find the common denominator of (-15)\/(-6)*(-2)\/(-3) and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 134 = -154*q + 177*q, -6*q + 5*a = 232 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 17396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -25597 = -25597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -s, -12*s = 4*l - 11*s - 10. Solve 17 = -l*b + d, -b + 3*d - 26 = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 935*u**4 + 551*u**3\/3 + 1813. What is the third derivative of k(n) wrt n?\nAnswer: 22440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2 + 23*k + 18*k + 4*k**2 - 44*k - 1 + 5*k**3. Let q = 6 + -1. Is p(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793705349?\nAnswer: 101, 2089, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**2 - 6*b + 5. Give u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33236.6068 from -13.5.\nAnswer: -33250.1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1385*i + 14280. Calculate q(-10).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 7 = 4*i. Let c(h) = h**i - 16*h**2 + h + h**2 - 1. Let s(q) = q**2 + 7*q + 7. Let t be s(-6). Give c(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1392.9 - 1268. Let j = i - 125. Suppose 2*z = -z + 3. Sort z, j, 0.1 in descending order.\nAnswer: z, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658511156?\nAnswer: 2, 3, 7949, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n - 15*n + 23*n + 30*n.\nAnswer: 80*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*q - 28. Let p(y) = -6*y. What are the prime factors of p(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010211122220 (base 3) to base 10\nAnswer: -5389980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -9*m**4\/4 + 7*m**2\/2 - 5*m + 42. Find the second derivative of b(g) wrt g.\nAnswer: -54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 906 - 42. Calculate the least common multiple of 4 and f.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29706799 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -354*k - 544*k + 6286 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28221 - -3104261\/110. Let f = 1\/22 + d. Is 2 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*k**2*w - 7*k**2 + 3*k*w - 18*k - w wrt k?\nAnswer: 18*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1 - 3*f**3 + 1683*f + 1554*f - 3237*f - 5*f**3.\nAnswer: -8*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 19. Let c be q(-13). Let t = c + -3. Suppose -85 = -t*s - 2*s. Calculate the greatest common divisor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1534719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15624 = -22*j. Let n = j + 1229. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, d: 3, t: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 18.68. Let y = -0.02 - w. Let o = -4.08 - -0.08. What is the second smallest value in o, -5, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 5. Let s(h) = -1. Suppose 2*p + 4*x = 10, x = -4*p + 2 + 4. Calculate p*r(n) - 4*s(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d - 20 = 0, 4*d + 50 = 5*c. Suppose -3*f + 3*y + 36 = 0, 14 = f + c*y - 5*y. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2804168, 5608483, 8412798, 11217113, 14021428, 16825743?\nAnswer: 19630058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 29295 = -29241 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*b - 174, -b - 4*v = -0*b - 57. Let i(w) = -w**2 + 9*w + 12. Let j be i(6). What is the remainder when b is divided by (-6 + j)*1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Suppose 4*w - 5*i = 328, 3*w - 143 = 4*i + 103. Suppose 14 = 4*t - w. Let n(a) = -t*a**2 + 3*a**2 - 17*a**2 + 6*a**2. Determine l(n(h)).\nAnswer: 2048*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15502469 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011100 (base 3) in base 15?\nAnswer: -d73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -3)*(0 + -1). Find the second derivative of -2*b**2 + 7*b + b**d + 0*b**2 - 5*b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 0.028, -56, -1\/3, 3 in descending order.\nAnswer: 3, 0.31, 0.028, -1\/3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -222100030 (base 5) in base 16?\nAnswer: -ed472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -1, -1\/4, -0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 8 = -x - 2*z, -3*x = z - 12. Let i(s) = s**2 - s - 5. Let b be i(x). Let w(g) = 371*g. Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 + 4*r - 24. Let y be (8 + (-310)\/30)\/((-1)\/3). What is the units digit of p(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -106\/11*w + 2\/11*w**4 - 210\/11*w**2 + 0 - 102\/11*w**3 = 0.\nAnswer: -1, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 17 + 1 = 0. Calculate the greatest common factor of 24 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 24 = -0*d. Let r(p) = -p**3 + 7*p**2 - 5*p + 9. Give r(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 - 40*j + 1. Let l(y) = y**3 + 3*y**2 + 4*y + 7. Determine l(u) - 3*q(u).\nAnswer: u**3 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13 + 25 - 8 + 3*u. Calculate k(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -a99?\nAnswer: -a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 333222430431?\nAnswer: -333222430440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 - 2.3. Let d = q - -0.7. Let c = d - 2.9968. Round c to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -32, -2\/5 in descending order.\nAnswer: 0, -2\/5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75036 and 114036.\nAnswer: 54851316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 184*o**2 + 2*o. Let k be u(-1). Let f = -50 + k. What is the highest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - g + 177 = 0, 0*d + d = g + 33. Let j = d + -11. Suppose -4*z - 2*n = -j, 0 = 8*n - 3*n + 10. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from mmrwar?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6343778, -5, 1 in increasing order.\nAnswer: -6343778, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 5153*j**5\/5 + 615*j**2\/2 + 3664. What is the second derivative of h(t) wrt t?\nAnswer: 61836*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l**5\/5 - 5832*l**4\/5 - 24698*l**3\/5 - 12612*l**2\/5 + 32608*l\/5 + 2112 = 0. What is l?\nAnswer: -220, -3, -2, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 74?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1353 or 2115?\nAnswer: 1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 131 + 57 = 5*x, 3*v - 588 = -3*x. Calculate the remainder when v is divided by 89.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 109. Differentiate -18 + 17 - 227*i - 61 - 34 - b wrt i.\nAnswer: -227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 707?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06404 and -25.\nAnswer: 1.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9.03. Let q = -0.23 - y. Are q and 0.07 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747341 is divided by 4505.\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - 21*q - 7*q + (-2*q - q + 2*q)*(3 - 1 - 4))*(-19399*q + 19399*q - 203*q**2) to the form w*q + o*q**2 + d*q**3 + t and give d.\nAnswer: 4263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a factor of 223152897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 26\/621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 2*h**5\/65 - 1072*h**4\/13 + 764692*h**3\/13 + 2300512*h**2\/13 + 2302658*h\/13 + 13857. Factor g(p).\nAnswer: 2*(p - 1073)**2*(p + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13736801 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3322365 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**5\/20 + 5*z**2\/2 - 9*z. Let c(q) be the first derivative of p(q). Let y(m) = m. Calculate y(c(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -247*f. Let i(t) = -2*t. Give i(s(g)).\nAnswer: 494*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 36*q + 30. Let u be f(15). Let y = 102 + u. Solve 8*a = y - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1 + 41070*k + 41071*k + 41073*k - 123225*k - k**2. Suppose 0 = -3*o - 0*o - 30. Determine a(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.378903.\nAnswer: 0.378903","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + -378 + 288?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57074501 is divided by 1676.\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226 + -118. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 14\/49 - (18 + -15 + -18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309490235 - -309490216.68394015. Let a = t - -18.23606. Let u = 0.08 + a. Round u to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351450 divided by -175725.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 44*v**2 + 29*v - 68. Calculate d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36789251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b - 2*p = -6, b - 3*p - 5 = 0. What is the third derivative of -2*s**b + 0*s**2 - 3*s**2 + 3*s**6 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(345\/(-140))*(-120)\/20)\/1.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*l = -527*l + 1048*l - 238 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.36. Let m = 1.3 + c. Let z = -0.5 + m. What is the biggest value in -1, z, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67881 and 1122.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -24, 100, 224, 348?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19401199 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.29 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12639166 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:36 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30131.94 microseconds in milliseconds?\nAnswer: 30.13194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 4)*2\/4. Solve 4*q + 6 = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.7, -97\/2, -2\/5?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/(-6) + -4)*4. Suppose 4*a - 6 - 7 = -5*y, -k*y - 2*a + 4 = 0. Let q be 125\/(y\/5840*-2). What is q rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2768 and 2076.\nAnswer: 8304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5352 + -2?\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -187165 - 2*u**2 - 835*u + 187165 as b*u + d*u**2 + l and give b.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.4403774 to zero dps.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 67. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 11. Let r be t(0). Let z(b) = b**3 - 2*b**2 - 13*b + 11. Let c be z(6). Calculate the greatest common divisor of c and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpd. Give prob of picking 1 d and 1 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by -53\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*c + 3*p + 19, -4*c - 5*p = -32. Suppose c*a = -4*o + 9, -o = -2*a - 5 - 0. Solve -o*j = -2*r - 5, 2*j + j = 5*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 130*p**2 - 1419*p + 25. Calculate b(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 + -113. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*g - 12, 1 = -m + 863*g - 861*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -194420000 to the nearest one million.\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 5, v: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 17*v + 12. Let k be y(8). Suppose 2*h + k = 52. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:57 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*t - 100 = -6*o, 4*t - 20 = -o. Let k = o - 16. Suppose 2*p + a = -0*p + 15, -k*a = -4*p. Put p, -3, 4, 1 in decreasing order.\nAnswer: p, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g + 2. Let s be t(-2). Suppose 5*d = -160 + s. Let n = -232\/9 - d. Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 126. What is j rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -15. Let d be 4\/g - 16\/10. Let y be (-4 + 6)\/(d - 0). Let n(p) = p**3 - p**2 - 1. Let x(i) = 8*i**3 - 6*i**2 - 6. Determine y*x(k) + 6*n(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*x + 2. Let y(r) = -r**2 + 16*r - 9. Let n be y(x). Suppose m - n = -m. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52776, 51909, 51042?\nAnswer: 50175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-36) - 230\/345.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 greater than or equal to 0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342668.\nAnswer: 2, 85667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 494\/3458 + 8\/(-14)*3\/12. Solve -14*j - 7*j + 21 = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 44180*s**2 - 1. Let i(w) = w. Determine v(i(t)).\nAnswer: 44180*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159987 less than 159987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 45065*l + 450650. Give a(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 5, -2.06 in ascending order.\nAnswer: -2.06, 0.17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121057132 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -66. Solve 3*l = g*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m - 8*m - 6*m)*(5*m - 2*m - 2*m + (3 - 2 - 5)*(-4*m + 0*m + 2*m + 3*m + 0*m - 4*m + 1 - 2*m - 1 + (-2 - 2 + 6)*(-m + 0*m + 0*m) - 3*m + 3*m + m)).\nAnswer: -525*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - ((-16 - 33 - -39) + 4 + -1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 75*o**2 + 79*o - 268. Let h be w(74). What is the highest common divisor of 24 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14245002738 + 14244957506.149965. Let p = 45232 + z. Let n = -0.15 + p. What is n rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110356 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 1608084.\nAnswer: 112565880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 471064?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 - 1 + 0 - 1 - 5 + 0 + 4 + 3 - 3 - 2 + (0 - 3 + 1)*(1 + 1 - 4) - 4 + 0 + 3 + 1 + 0 - 3 + 2 + 2 - 2)*(141*m - 37*m + 142*m)*(0 + 1 + 0).\nAnswer: -984*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170952 and 2514.\nAnswer: 170952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 569776*m**3 - 75958*m.\nAnswer: 3418656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20710*n - 20702*n = 136 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeoe when four letters picked without replacement from {e: 8, o: 5, y: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - y - 10, -4*n - 5*y + 107 = 119 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 3*w, -l + 10 = l - 2*w. Suppose -l*n + 30 + 5 = 0. What is the greatest common divisor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = 29, -2 = -4*l + 2*j. Factor -27\/2*t - l - 21\/2*t**2.\nAnswer: -3*(t + 1)*(7*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (1 + 0 + -3). Let x be (-10 + 9)*1\/(-4). Which is bigger: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = 0, 4*w + 2*f + 28 = 5*f. Let h be w + 2*(-2 - -7). Suppose 2*j - 1242 = -2*x, -x = 5*j - h*x - 3125. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2454864?\nAnswer: -1\/1227432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, -1, -12 in descending order.\nAnswer: 5, 2, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 8) to base 2.\nAnswer: -1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {p: 1, h: 4, g: 3, f: 12}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000093336 rounded to 6 decimal places?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31004513 (base 6) in base 12?\nAnswer: 369739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*k + 266, 2*k + 164 = 2*a - 10. Let q = 29 + a. Calculate the common denominator of 3\/(-45)*q\/(-2) and 81\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:50 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 4 - 7 + 3.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 80*w**2 + 2*w + 3. Suppose -u - 3*p + 5 = 0, 4*u = 2*p + 3*p + 3. Let v be (3*1\/(-3) - 1)\/u. What are the prime factors of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*f - 88, -7*f = -6*f. Does 10 divide 4\/6*t*165\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**2 - 4001*i + 4001*i)*(4*i - 2*i - 3*i)*(17*i**2 + 5 - 5).\nAnswer: 170*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18865 and 3.\nAnswer: 0.56595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*q**2 - 3172*q**2 + 633*q**2 + 629*q**2 + 635*q**2 + 628*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2313458*l**3 + l**2 + l - 131315793 with respect to l.\nAnswer: -6940374*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/20 and 21\/16828732.\nAnswer: 84143660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1966.32 + -1922. What is i rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 5*l**8\/56 + l**4\/6 - 15*l - 1. Let n(b) be the first derivative of t(b). What is the third derivative of n(v) wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11*(275\/(-90))\/11 - 3. Which is the biggest value? (a) 1 (b) 2\/17 (c) 5\/4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 403 or 402?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 31. Suppose 0 = 2*n + y + 4*y + 58, 4*n - 4*y + 116 = 0. Let x = n + 29. Which is the fourth smallest value? (a) 2\/13 (b) x (c) 1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5291 + 5308. Solve -w + 8 = w, -3*w + a = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1862 by 19.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 110. Calculate q(15).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223028255 - -4?\nAnswer: 223028259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 33*m - 31. Calculate j(30).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/3)*p**(1\/43))\/(p**(2\/3)\/p**(-2\/37)) assuming p is positive.\nAnswer: p**(-49\/1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216 + 216 - 14*h**5 + (3*h**2 - 3*h**2 - h**2 + 2*h)*(-2*h + 2*h + h**3).\nAnswer: -15*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 753 - 2*g**3 + 753.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*a**3 - 6*a + 0 + a**2 + 12 + 4*a - 6 + 0 to the form s*a**3 + j*a + w*a**2 + v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*((sqrt(896)*1*4)\/(((sqrt(14)*2 - sqrt(14)) + sqrt(14) - sqrt(14))\/sqrt(2) - (sqrt(84)\/sqrt(3) + sqrt(28) + sqrt(7))) + -4))**2.\nAnswer: 4096*sqrt(2) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/38 and -31\/6067612?\nAnswer: 6067612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-1)\/2). Suppose -2*t = -4*p + 2*p + 14, 5*p - 23 = 2*t. Let u = p + -8. Sort y, u, -3 in decreasing order.\nAnswer: y, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z - 2*d = -404, -37*d - 52*d = z - 91*d - 19 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/3 + 124340*r\/3 - 1932554450\/3 = 0.\nAnswer: 31085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/50*-1)\/(-14). Let h = 37\/175 + r. Let c = h + 11\/20. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (556\/(-22))\/((-24)\/(-10)). Let w = 1511\/84 + -107\/28. Let q = w + b. What is the common denominator of q and 28\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 326594.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 + 30*i**2 + i + 8*i**2 + 7.\nAnswer: 25*i**2 + i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*i**4 + 0*i**2 + 23 - 23 - i**2 wrt i.\nAnswer: 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 3145*d**2 + 6305*d - 3155.\nAnswer: -5*(d - 1)**2*(d + 631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 1. Let v(n) = n**2 - 16*n + 20. Let k be v(15). What is g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5635 = -r + 9621, x + 2*r = 5077. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwlx when four letters picked without replacement from wwwkclxwxk.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -1 - (-2 + 2). Determine y so that y**3 + 2*y**2 + y**3 + y**p - y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, 86, 3 in increasing order.\nAnswer: -14, -3, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r + 1 + 16*r + 4*r - r**2. Let i be (-24)\/28*(-7 + 0). Give z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -28?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/i**(9\/8))\/i*i*i*i**(-12))\/(i\/((i*i*(i*i*i\/(i**(-19)\/i))\/i*i)\/i)*i\/(i*(i\/(i\/i**(-3)))\/i)) assuming i is positive.\nAnswer: i**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7753 + 8539. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -3 - (-9 + 7 + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-106)\/(-1590) - (-30389)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 2.135.\nAnswer: 2.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4)*(-474 + 209 + 227)*(-h**4 + h**4 + 2*h**4) - h**4 + 0*h**4 - h**4.\nAnswer: -306*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -7. Does 11 divide (-1)\/(y\/(-6))*-11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 554*w**2\/7 - 8*w\/7 + 2216\/7.\nAnswer: 2*(w - 277)*(w - 2)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/4 + 3*i**3 + 45*i**2\/4 + 29*i\/2 + 6 = 0?\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((836\/20)\/19)\/(5\/5)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*y - 136*y - 43*y - 103*y - 31*y.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 3*n**2\/2 - 330. Let q(h) be the first derivative of 4*h**3\/3 + 20. Give w(q(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6104 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - x - 1. Let c be m(-3). Suppose 4*h + 4 = c. Solve 32 = -3*s - s + h*t, 12 = 4*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -29*o**3 - 83*o**2 - 10*o + 5. Let m(z) = 27*z**3 + 82*z**2 + 8*z - 4. Let a(b) = -4*i(b) - 5*m(b). What is the third derivative of a(h) wrt h?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5896 and 146194?\nAnswer: 6432536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3 + 103847*i**2 + 17*i + 9915 wrt i.\nAnswer: 6*i + 207694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 3*j**2 + 20*j + 30. What is the remainder when 272 is divided by s(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-1 - -1 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0431545998 to 4 decimal places.\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2766)\/(-1844))\/(((-3)\/20)\/(7\/(56\/36))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/220 - (-3774)\/(-935).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/1085 + 845\/3565?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 10*i + 36*i**2 + 3*i**4 - 56*i + 0*i**4 - 50*i - 192 + 24*i**3 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 - 9*i - 14. Let x be l(6). Suppose 0 = x*u + u - 55. Suppose -7*m - 700 = -u*m. Does 35 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1295?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1195)\/(-40))\/(30\/(-8)). Let y be (0 - -3)\/(18\/(-40)). Let l = k - y. What is the common denominator of l and 57\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -131, -170, -193, -194, -167?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64807659 and 82522.\nAnswer: -64725137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-52)\/8 - -4)*(-6 + 4). Solve -4*v + k*v = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w - 3*w + w)*(w**2 - 5*w**2 + 3*w**2) + w**3 - 3*w**3 + 0*w**3 + 3*w**2 - 3*w**2 + 2*w**3)*(6 - 15 + 30).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 43*l**2 - 55*l - 519. Let d be o(-44). Let q = 29 + -28.6. Sort -5, q, d in descending order.\nAnswer: q, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 484591, 969240, 1453973, 1938796, 2423715, 2908736, 3393865, 3879108?\n\"Answer: f**3 + 36*f**2 + 484534*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:28 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8030?\nAnswer: 2, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 906340 to the nearest one thousand.\nAnswer: 906000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.141, 2\/11, 0.2 in descending order.\nAnswer: 0.2, 2\/11, -0.141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**6 + 3232*n**4 - 118*n**3 + 2*n**2 - 24473450?\nAnswer: -600*n**3 + 77568*n - 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, t: 2, j: 1}. Give prob of sequence uj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 plus 0.4183754514?\nAnswer: 0.8583754514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -752 + 2a?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327765 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206654423.\nAnswer: 206654423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 4. Let k be s(2). Suppose k*o + 174 = 5*o. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*v**3 + 17026655*v**2 + 2070762930160*v - 295823623220.\nAnswer: 5*(v + 243238)**2*(7*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/69 - -22\/115. Suppose -2*g - a = -4, 0*a + 10 = 5*g - 3*a. Suppose 4*n + 5*f - 6 = 3*f, -g*n + 6 = 2*f. Which is bigger: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (39\/26)\/(6\/48*-6) + 49147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.894556597 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = w + a + 9, -3*w + 8 = -4*a. Solve 0 = 2*l + l + t - 7, 2*l + 2*t - 10 = w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-28)*(-26)\/((-78)\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 62 - 59. Let b be (-3 + 5 + l)\/(2\/4). Solve 4*m - b = 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 12*a**2 + a + 8. Let z be s(-12). Let k be (-8 - -6)\/(z\/102). What is the highest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, 6*h - k = h + 457. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302422036 to the nearest integer?\nAnswer: 17390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1451, -5, -11, 2 in descending order.\nAnswer: 3, 2, -5, -11, -1451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Suppose -s*i = -0*i - 20, 24 = 2*u + 5*i. Let q be 31\/11 - u\/(-11). Solve -q*m - 4 + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 14578180?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1050 - 1043. Solve 0 = k*u - 10*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532 and 82080?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164602970 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 9. Let i(g) = -g**3 + 13*g**2 + 12*g + 15. Let u be i(14). List the prime factors of t(u).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908 is divided by 79?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/g*g\/(g*g**(-11)\/g*g)*g**(8\/3)\/(g\/g**(4\/9)))**(-18) assuming g is positive.\nAnswer: g**(-326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -252948, -505899, -758850?\n\"Answer: -252951*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaaaoaaaaao. What is prob of sequence oao?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3*(-14)\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*h + 776 - 710 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210 + -138. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 36 = 10*u. Suppose 8*b - 10 = 10*b. Let t be 1*b\/15*u. Solve 5*g + r = -0*r - 20, t*g - r = -15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*-2*(-2)\/16*58\/(-58).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -3. Let h = 39 + u. Is 28 a factor of (-1864)\/(-40) - 2*(-3)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 5*f. Let k be p(-4). Let w = k - -102. Suppose 0 = 2*u + 6 - 30. Calculate the remainder when w is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45 + (-186)\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336257437.\nAnswer: 3, 53, 14693443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622 = 586*j + 5902 + 3504 + 520 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 22*o**2 + 40*o + 39. Let d be z(-20). Suppose 0 = -i - s + d, -3*i + s + 86 + 43 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 - 3.1. Let b = t - -1.75. Let o = 0.05 - b. What is the fourth biggest value in o, 0, 3\/7, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.56 + 0.5991. What is r rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*(-11 + 12 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = 3*v. Which is the nearest to v? (a) 3 (b) 2\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1412 - 0?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(605) + 1)**2 - ((sqrt(5) - sqrt(15)\/sqrt(3))*1)**2).\nAnswer: 88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 2*t**2 - 14*t - 3. Differentiate r(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.3505?\nAnswer: 1.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 44*b + 138. Let m be g(-46). What is the greatest common factor of 46 and m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = -12. Suppose -5*j + 25 = -0*j. What is the remainder when j is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -48864269 greater than -48864269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + -14 + (2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411807721?\nAnswer: 13, 53, 597689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9484\/7 or -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 1. Let l be q(4). Suppose 0 = -m + l, -5*y + 2*m + 139 = -0*m. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64927868 to the nearest integer?\nAnswer: 8058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -20. Let b = z + 0. Is (b\/15)\/(1\/249) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*14701493\nAnswer: 4410447.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/13842996 and 49\/120.\nAnswer: 138429960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87202 and 31411965.\nAnswer: 31499167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 48) + (-41 + -13 - -154)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2325010 divided by 1\nAnswer: 2325010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + -6 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 15*i - 5. Let u be j(18). Let g = -49 - u. Solve g = -2*w - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:18 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296993, 296975, 296957?\nAnswer: 296939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 390*d*w*x*y + 345*d*w*y + 2*d*w + 2*d*y - w*x*y + w*x - 3*w*y - 2*w wrt x.\nAnswer: 390*d*w*y - w*y + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/15)*((k*k\/(k\/(k\/((k*k*k**(-5)*k)\/k))))\/k)\/k)\/(((k\/(k*k**(-2\/3)))\/k)\/(k\/(k\/k**3))))**(-1\/11) assuming k is positive.\nAnswer: k**(-31\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/3 + (-2 - -73). What is the common denominator of -11\/21 and (0 + -1 + -16)*10\/d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 488 = 310 - 344 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*w + 0 = -9, -3*w = -12. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 3*k - 0*k. Suppose 0*y + 4*y = k. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57616204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159369 is divided by 233.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/9)\/(-5))\/(2\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhvovnonhojhnojvov. Give prob of sequence oj.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - -148. What is the least common multiple of 80 and u?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let v(m) be the second derivative of 0*m**2 + 0 - m + 1\/3*m**3. Calculate h(v(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 4*d**2 - 5*d**2)*(-4 - 2 + 1)*((-5*d + 5*d - 2*d)*(-4*d + 3*d - d) - 200*d**2 + 95*d**2 + 87*d**2).\nAnswer: -210*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38382 + 18*j**2 + j - 19*j**2 - j.\nAnswer: -j**2 + 38382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250.171 + 250. Let y = x - -11.471. Let s = y - 11. What is the second biggest value in 0, -0.2, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38689152 is divided by 19344574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 183104, 183049, 182990, 182927, 182860, 182789?\n\"Answer: -2*l**2 - 49*l + 183155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -3 (b) 0.1 (c) 14 (d) 2\/21 (e) 35\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Suppose -g - 48 = -n*g. Suppose -k = 5*k - g. Is 4 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w + r + 21 = 0, 0 = -w + 2*r + 6. Let u = -7.4 - -6.9. Suppose 10 = 3*m + 16. What is the smallest value in m, 2, u, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.492189 millennia to years.\nAnswer: 3492.189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248 (base 15) to base 13.\nAnswer: 30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179\/2 - 90. Let l = 1 + -1. Suppose l = -4*v - v. Is g at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, 1911, -3, -0.07, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3933 and 9.35.\nAnswer: -36773.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 5, m: 6, q: 2, z: 5}. What is prob of sequence wq?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26812445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - v - 4*v. Let g(k) = -4*k. Let s(f) = f**2 - 5*f - 6. Let t be s(5). Let c(w) = t*h(w) + 11*g(w). Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + 2*f**2 - 5*f**2)*(-1 + f + 1) - 139816 - 1043*f**3 + 139816 to s*f**2 + h*f + z + b*f**3 and give b.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -26*u - 26. What is a(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (sqrt(833)*-2)**2 + sqrt(17) - (1 + sqrt(1700) + 1)).\nAnswer: -9*sqrt(17) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/50 - -187\/150. What is the nearest to 0 in -54, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746 + -746. Suppose q = -17*u + 20*u - 81933. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 16*t**2 + 12*t - 16. Let s be n(-15). Solve -3*p - x = -3, 0 = s*p - 30*p - 4*x - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 13*s**2 - 21*s - 24. Calculate y(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-5\/4)\/h*h*h\/h**(6\/5))\/(h**(-2\/57)\/h)**(1\/35))**(2\/9) assuming h is positive.\nAnswer: h**(925\/7182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 - 2073*u + 73882. Determine i(33).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872234347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 46.6. Let k be (-24)\/(-35) - (-4)\/(-10). Which is the nearest to k? (a) 3\/4 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -22010001022022?\nAnswer: 22010001022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -19. Let o = 9 - s. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -38, -154, -380, -752?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 188, 15, 20 in decreasing order.\nAnswer: 188, 89, 20, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119616*f + 119779*f = 3912 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92524\/300703)\/(-3*68\/(-26)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1573 and 549653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3776)\/(-354))\/(-16))\/(4\/414)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 1, 64, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -571*r. Let o(w) = w**2. Give m(o(x)).\nAnswer: -571*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 4\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4903\nAnswer: -4\/4903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 200962524 rounded to the nearest 100000?\nAnswer: 201000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 6. Let l(j) = -8. Let i(b) = -23. Let k(m) = -3*i(m) + 8*l(m). Let q(d) = -5*k(d) + 4*v(d). Let p be 1\/((1 - 1) + 1). Calculate q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58704440 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118426.\nAnswer: 2, 7, 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k + 243. Let p be m(-22). Let w be -458*p*4*3\/120. Which is the biggest value? (a) -2 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 4. Let p(w) = 215*w. Give f(p(s)).\nAnswer: -215*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*j - 27, -j - 3*j - 4*w + 48 = 0. Suppose 1 = h - l, -2*h - 3*l + j = 2*l. Suppose 13 = h*m - 35. Solve -4*g - k + 3 = -6, -5*g + 3*k = -m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2171*j**6 + 110*j**5 + 2773005*j**2 wrt j.\nAnswer: -260520*j**3 + 6600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 = -4*d + 5*c, 628 = -2*d - 0*d - 4*c. Let m = d - -609. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 80*s**2 - 486*s - 2432. Calculate n(73).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 10 - 4. Suppose -z + v*z = -4*q + 1, 0 = -3*q - 3. What is the highest common divisor of z and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 95*z**4\/24 - 683*z**2. Let q(s) = -14*s**2. Give q(r(x)).\nAnswer: -126350*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 2*a + 3*a + (2 - 2 - 1)*(0 + 0 - 2*a) + 464*a - 146*a + 179*a + 741*a + (1 + a - 1)*(6 - 1 - 3) + 0*a - 2*a + 4*a.\nAnswer: 1243*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 7*u**5\/5 - 27*u**2\/2 - 26. What is the second derivative of d(h) wrt h?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 5. Let a be g(10). Let y = -2 - a. Let f = y + -10. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 80843\nAnswer: -36\/80843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 4622540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1357325 and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2211 - -35638. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + 82386?\nAnswer: 82367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1204, -1291, -1378, -1465, -1552, -1639?\n\"Answer: -87*z - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5 = -2*b, -7 - 6 = -3*l - b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442219880 rounded to the nearest 1000000?\nAnswer: -1442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 52*p**2 + 6*p**2.\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*189*38\/(-2128)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 3. Suppose -7 = -2*x - 1. Suppose -x*l = y + 10, 12 = -y - 4*l + 4. Let f(r) = 10*r + 16. Let p = 46 - 49. Calculate p*f(s) + y*v(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - sqrt(12))*-3)\/(3*sqrt(24)\/sqrt(6) - sqrt(4) - sqrt(4)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722 - 10*f + 179 - 901.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -12. Solve 2*f + 0*f - 10 = 4*c, -q = -5*f + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66790 rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let i be (-17)\/(-5) - 2 - y. Put -1, -1\/2, i in ascending order.\nAnswer: -1, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 106*i**2. Suppose 4*v - 35 - 17 = -4*m, m + 67 = 4*v. Let g(j) = j - v + 34 - 18. Determine g(b(d)).\nAnswer: 106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 k when three letters picked without replacement from {p: 1, a: 3, y: 6, n: 8, k: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5016 and 20914212?\nAnswer: 41828424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8486553520 to the nearest one hundred thousand.\nAnswer: -8486600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/(d\/d**(-2\/7))*(((d\/(d*d**0*d))\/d)\/d)**(-16\/7) assuming d is positive.\nAnswer: d**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from kkkaaakaakgkakkkkkak.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7073*x**2 - 5*x - 14. Let n be s(-10). Let b = n - 317336. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 31) + (4 - 0) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, t: 1, q: 1, x: 1, l: 2}. Give prob of picking 1 l, 1 y, and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -2*p, -p - 4*p = 3*t - 24. Let a = -11 - -11. Suppose a*x = -3*x. Solve x = p*h - 2 + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 21*y**3 + 40*y**3 - 6*y**2.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/16*4\/(-3). Let v be (-58)\/(-4)*(l - -4). Suppose -9 = -5*u - v. Which is the closest to -1\/2? (a) u (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 12, 0.3, 2\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54 - 72a?\nAnswer: -6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148839 or -421?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 4*v**2 - 22*v + 3*v + 7*v + 2*v**2.\nAnswer: 6*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6982 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: Suppose -3*k = -1 - 2. Let g(p) = -p**2 - 8*p - 7. Let z(u) = -u - 1. Determine k*g(d) - 6*z(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 57209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -34. Suppose 130 = b*r - 0*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*-3 + (-10 - -8). What is the fourth smallest value in 2\/9, n, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, -0.6, 0, -4, 5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**3 - 5*n**2 + 38*n - 37. Let z be q(6). Solve -7*r - 1049 + z = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10)\/(1\/(-5)). Suppose o = 3 - k. Let j(n) = 11*n**2 - n + 1. List the prime factors of j(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*k = -4*k + 5, 2*m - 4*k + 18 = 0. Which is smaller: -1\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*v**2 + 258*v**2 + 273*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - -68?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 5*p + 8*o - 137362, -82426 = -3*p + 5*o. Suppose p = -96*z + 113*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) 1\/6 (c) -1\/5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -87948, -1, 2\/3, 10, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + -2*sqrt(500) + 1 + (3 + sqrt(500))**2 + -5 + 3)*4.\nAnswer: 160*sqrt(5) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 77 + 10 = 0. Let o = z + -19. What is the smallest common multiple of (-1)\/(-7) - 138\/(-14) and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 50. Let m be (a\/(-6))\/((-1)\/3). Suppose 0 = m*r - 10*r + 15. Put -3, 0, r in decreasing order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 3:02 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -16*a**5\/5 - 87*a**4 - 616*a**3 + 242*a**2 + 4. What is r in u(r) = 0?\nAnswer: -11, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than 41?\nAnswer: 41.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3112734044 to the nearest integer?\nAnswer: 55792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166494, -166475, -166456, -166437, -166418, -166399?\nAnswer: -166380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15495, -5\/3, 2\/7, -98, -23 in decreasing order.\nAnswer: 2\/7, -5\/3, -23, -98, -15495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24402, -24404, -24408, -24414, -24422, -24432, -24444?\n\"Answer: -k**2 + k - 24402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145*(-6)\/19950 + (-2)\/20 and 9\/98.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19785260 and 1094764.\nAnswer: 6116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 12 = 13*h, -72*h = -q - 70*h - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -2*s + 2*q + 954, -1429 = -3*s - 4*q. Suppose -o - 4*o = -s. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 565. Let i = 373 + x. What is the second smallest value in -3, -2\/5, 8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h\/(h\/(h\/h**(-25)))*h)))*h*h*h**(-7\/6))\/(((h*h**(-16))\/h*h*h)\/h*h*h\/(h**(-10)*h*h)*h) assuming h is positive.\nAnswer: h**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(24)\/(sqrt(48) - sqrt(12)))**2 + (sqrt(112)\/(sqrt(16)\/sqrt(2)))\/sqrt(7) + 5.\nAnswer: -7*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 45 + (5 - 6) + -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -2a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30*(-3 + 6)\/(-3). Factor -20*t**3 + 7 - q - 9 - 112*t - 88*t**2.\nAnswer: -4*(t + 2)**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, 27598 in increasing order.\nAnswer: -1, 0.5, 27598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*h - 5*c + 17, -2*c + 11 = h. Suppose 8*a - 2 = h*a. Suppose 2*g = 10 - a. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1353 by 1.\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 minus 0.132?\nAnswer: 498.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8942 + -8941. Does -1\/22144 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/957, 49\/2, 3, -7, -4.\nAnswer: -7, -4, 1\/957, 3, 49\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 2, h: 3, f: 2}. Give prob of picking 3 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.8 take away 15242?\nAnswer: -15284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*x + x**2 - 12830 + x**2 + 12830.\nAnswer: 2*x**2 - 200*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 20131.4 to the nearest 100.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753463 to the power of 1\/2, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**2*m*m)\/m*m*m)*m)\/m)**(-2\/49)*(m\/((m**2*m)\/m))\/m**(-3))**(1\/12) assuming m is positive.\nAnswer: m**(53\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 14 - (3 + 3 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00053337502 to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 - 143\/78. Let d(s) be the third derivative of 7*s**5\/20 + s**4\/24 - s**3\/3 + 6*s**2. What is the units digit of d(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1\/5 (c) -518 (d) -1\/67 (e) -3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31785968, -63571956, -95357944, -127143932, -158929920?\n\"Answer: -31785988*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 277 - 280. Put v, 4.2, 3 in ascending order.\nAnswer: v, 3, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(252) + -1 + 0)**2.\nAnswer: -12*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*k**4 - h**2*k + 452434*k**4 + 18908*k wrt k.\nAnswer: -12*h**2*k**2 + 5429208*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190817*k**4 - k**3 - 10*k**2 - 51367443*k.\nAnswer: -2289804*k**2 - 6*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sswttti. What is prob of picking 1 s and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*m + 4*w, -2*m + 6*w - w + 24 = 0. Let i(n) = 0 - 132*n**2 + 133*n**m - 2 + 7*n. Is 16 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042652126 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36750 = 21395*i - 22105*i - 17210 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/216183 and 87\/8?\nAnswer: 1729464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -142688 (base 12) to base 7\nAnswer: -2600114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -330?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/189056 and 115\/324096?\nAnswer: 2268672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 3*y)*(-48*y + 48*y - 9*y**3)*(-3*y + 2*y - 2*y).\nAnswer: -54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8c9 + -1?\nAnswer: -c8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1930 and 90?\nAnswer: 17370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25782, -329, 3, 2, -5 in decreasing order.\nAnswer: 25782, 3, 2, -5, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 v when three letters picked without replacement from {f: 1, v: 3, o: 13}?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkayaykkkayaky. What is prob of picking 1 a, 1 k, and 2 y?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*h = -6709 - 5257 - 13752 + 7856 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 80 - 125\/2*c**2 + 0*c - c**5 - 25*c**3 + 45\/4*c**4. Find n such that g(n) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 25*r**2 + 72*r + 1666. Calculate m(-8).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68136211 + -2.8.\nAnswer: 68136208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2348 - 2688. Round o to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154937060 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/24*-3 + (-33)\/(-12). Put -1, -2, -5, u in decreasing order.\nAnswer: u, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16 - -5)*(-78)\/143. What is the tens digit of -3*3141\/81*-2*t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + k = 5 - 6, 0 = d + 2*k - 1. Let a(y) = 6*y**2 - 3*y - 1. Give a(d).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 7*h + 1. Let q be u(-2). What is the third derivative of -34 + 34 - 19*s**q + 19*s**2 wrt s?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:02 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (-1 - -3 - (72 + -72) - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 - 199908*k**3 + 599832*k**2 + 3598560*k = 0. Calculate k.\nAnswer: -49980, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 3 - 4*v - 5*v**2 - 3 as d*v + m*v**2 + n and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -62 + 5 - -8) + (-7 - 2 - -3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132.39 + 2.39. Let q = -128.46 - o. Let i = -0.46 - q. Which is the second biggest value? (a) 0.3 (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3140223 (base 6) to base 12\nAnswer: -74673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/14)\/(3\/(-4)). Suppose u*w = -2*o - 2*o + 44, 0 = 4*o + 3*w - 45. Suppose 0 = -6*x - 12 + o. Solve -5*s + 8 = 2*j - x*s, 0 = 5*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/63*108\/90\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10706 (base 9) to base 8.\nAnswer: -15736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*22 - (-68)\/17. Let z = r + -89. Let v(i) = -i - 4. What is v(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - n + 4*n + 4*n**4 + (-4 - 1 + 4)*(0*n**3 + 0*n**3 - n**4) - 2*n**4 + 0*n**2 + 0*n**2 + n - 3*n**4 - n + n**4 + 0*n**3 + 0*n**3.\nAnswer: 2*n**4 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g - 15*g + 2664. Calculate the least common multiple of 9 and g.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104020 and 2020960?\nAnswer: 14146720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4878*a - 4878*a - 6*a**2 - 62 as i + l*a + b*a**2 and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 2990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3641 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (7 - 12) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -193457.1, 5, -5 in increasing order.\nAnswer: -193457.1, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 265, 271, 277?\n\"Answer: 6*y + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/3 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = 21. Let r be g\/(-9) + (-8)\/(-24). Suppose 4 - 1 = q, t - 93 = -r*q. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 + 5*a. Let x(f) = 2*f**2 + f. Let v(j) = -2*w(j) + 11*x(j). Let h be v(-1). Solve -h*i = i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -3, 1\/5, -22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10726 + 10726.5894. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 349 divided by -5\nAnswer: -349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 3*y + 49. Let t be l(0). Let u = t - 49. Solve -4*o = -5*z + 7, -o - z = -u*z - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4\/4 + g**3\/3 - 5*g**2\/2 - 3*g + 1. Let k(a) = -a**3 - 18*a**2 - 16*a + 13. Let r be k(-17). Is x(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -79*20\/130. Sort -4\/35, n, -2\/7 in decreasing order.\nAnswer: -4\/35, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6 + (-246)\/(-108). Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1699696 less than 5?\nAnswer: 1699701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-36)\/8. Suppose 2*d - y*d = 5*q - 53, 0 = -d + 1. What is the greatest common factor of 15 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s - 4*s + (3 - 5 + 0)*(6*s - 2*s - 2*s) + 5 - 2 - 8*s + 10*s.\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 5*c - 408, -5*c - 2040 = -5*x. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2 + 5*a + 21. Let j be b(3). Let g(o) = o - 1. Let q be g(5). Let s be q - 5 - (-33)\/31. Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*z - 537 + 3297 = 120*z. What is the remainder when 2148 is divided by z?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161537\/63880 + -6\/1597. Calculate the common denominator of t and 151\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glt when three letters picked without replacement from {t: 3, l: 7, g: 8}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 31 in descending order.\nAnswer: 31, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 3*o**2. Let a be n(2). Let q be (a\/(-6))\/((8\/27)\/(-4)). Let x be 3\/((-1)\/546*q). What is the highest common divisor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*q - 15*q + 8 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635992271?\nAnswer: 3, 3187, 57037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.7 and 0.04?\nAnswer: -0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by 443?\nAnswer: 175\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/98 and (-4)\/(-14)*(-15 + 16)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -56 + 56 - 11*u**2. Let i(p) be the third derivative of -1\/60*p**5 + 0*p**3 + 11*p**2 + 0*p + 0 + 0*p**4. Calculate i(h(n)).\nAnswer: -121*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -898.9997244 + 899. What is h rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1080 or -1833?\nAnswer: -1080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 z when four letters picked without replacement from {m: 1, e: 3, z: 11, x: 2, u: 2}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -0.1, -13 in increasing order.\nAnswer: -13, -0.1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-13)*n)\/n*n**16 assuming n is positive.\nAnswer: n**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 4, h: 2, x: 2, i: 4}. What is prob of picking 2 k and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {r: 6, j: 2, s: 2, n: 4, y: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2676473128\/345 - 7757886. Let t = -31\/138 + z. Find the common denominator of 29\/7 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 21. Calculate g(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*p + 4, 93*f - 4*p + 4 = 37*f + 54*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*g**2 - 457*g - 339*g + 213*g.\nAnswer: 151*g**2 - 583*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 7*q**2 + 5*q - 8. Let m be i(-6). Let v be (m + 5)\/(-3) + 3. Suppose v*d - 29 = 55. Calculate the highest common divisor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 6*n**2 - 6*n - 5. Let q be c(-5). Let k(j) = 7 - j**3 - 3*j**2 - 5*j**2 + 2*j**2 + j + q*j. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 1 = 0. Solve z + 19 = 5*m + 5*u, 2*m - 11 = -5*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 322?\nAnswer: -5\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 12*d**2 - 11*d - 5. Let k = -12 + 1. Let c be p(k). Sort 1, -3\/2, c.\nAnswer: c, -3\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 21 - 44*s - 21 + 90*s. Let b(u) = -3*u**2. Determine q(b(p)).\nAnswer: -138*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 606*z + 1838. Determine i(-5).\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81769 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 + 10 + 1 - (-12 + 21)) + -69.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3 + (-249)\/(-84)). Let t = r - 10. What is the greatest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7010868 divided by 34367\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-6)*-3 - -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -60*l**2 + 449*l - 851. Determine i(8).\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3, 0.11, 1\/2, -5 in increasing order.\nAnswer: -5, -3, 0, 0.11, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-52))\/((-2)\/2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473.0833 millilitres to litres.\nAnswer: 0.4730833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19611 + -1453995625\nAnswer: -1454015236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016713 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1379232 divided by 344808.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957841362.\nAnswer: 2, 3, 1970867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 5*s - 100 + 110, 3 = -s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7528 less than -7528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512783940 by -170927980.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 4) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52875440 rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 - 1.6. Suppose 0 = 5*x - 13 - 2. Which is the third smallest value? (a) x (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 w when four letters picked without replacement from {w: 3, v: 15}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/325)\/(18\/(6048\/28)).\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(15)\/(2*sqrt(5)))*-4)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 + 0.089?\nAnswer: 832.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2205 + 2206. Which is greater: n or 5\/52?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3.48, 0, 0.4, 0.02, 3\/8, -2\/7?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 3, j: 9, l: 2}. What is prob of sequence jj?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 95*j - 97*j - 3*t, 0 = 5*j - t - 730. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s + 7. Let q be (-4 - -4) + -5 + 260. Suppose 7*r = -59 + q. Let n(x) = -x + 1. Calculate r*n(f) - 4*k(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**6\/2160 + c**5\/72 + 31*c**3 + 98. Let r(j) be the third derivative of a(j). Factor r(q).\nAnswer: -q*(q - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 526178*f**2 - 2*f + 2. Let k(h) = -8*h. Give u(k(p)).\nAnswer: 33675392*p**2 + 16*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/117 (b) -121.9 (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3718908 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220376137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/6 + 177*u\/2 - 9905\/3 = 0. Calculate u.\nAnswer: -566, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:54 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -61.3. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42896251 to the nearest 100000.\nAnswer: 42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -3172?\nAnswer: 3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 37 + 13 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14.93+3703427\nAnswer: 3703441.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19964571 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 + 140*g**3 + 955*g**2 + 1960*g + 1140 = 0?\nAnswer: -19, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(363) + -1 + (1 + sqrt(363))*6 + -5 + -2*(-3 + (sqrt(363) + -1*sqrt(363) - sqrt(363)) + 3))**2.\nAnswer: -198*sqrt(3) + 29404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooof when four letters picked without replacement from {o: 9, f: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + 4*p**2 - 13*p - 4. Determine l(3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-609)\/(-35) - 6\/(-10). Let f = -202 - -141. Let d be 120\/u + -6 + f\/(-3). Solve 5*s + d = 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 4, d: 3}. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 722329055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + sqrt(405) + 1 + -3 - (3 + sqrt(405) + 0)) + -2)**2.\nAnswer: -126*sqrt(5) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 59 (c) -0.1 (d) -4\/3 (e) -44\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 34*y + 701. Determine k(-24).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 24 = 3*m. Let t(r) = 14*r**2 - 3 - 8*r - 9 - 4*r. Let b(y) = -y**2 + y + 1. Calculate m*b(l) + t(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -91651055089 and -208.\nAnswer: -91651055297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -2\/13, -2641, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20197.7743 + -20198. What is the biggest value in 1\/9, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + -1 + (-3 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40003 (base 7) to base 6\nAnswer: -112251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*f**2*q**2 - 6*f**2*q - f*q - 9*f - q**5 + 24*q wrt q?\nAnswer: 376*f**2 - 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3393, -3372, -3331, -3264, -3165, -3028, -2847?\nAnswer: -2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*z + 1287*z**2 - 1287*z**2 + 3831*z**3.\nAnswer: 3831*z**3 + 100*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(162) + sqrt(6)\/(sqrt(12)\/sqrt(4)) + sqrt(2) - (sqrt(256)\/sqrt(8) + 2*2*sqrt(2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -68+4346392408\nAnswer: 4346392340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 - 3*v - 4. Let j(t) = -10*t**2 + 2*t + 5. Determine -5*f(c) - 4*j(c).\nAnswer: -5*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 8*w + 6. Let p(i) = -i + 1. Suppose 0 = -2*j + 13 - 1. Suppose 3*c = 4*c - j. Determine c*p(l) - o(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488 and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - ((-144)\/14 + 3). Solve -a**2 + 7*a**3 - 10*a**3 + u*a**3 = 0 for a.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**3 - 28*p**3 + 3 - 27*p**3 + 10*p**3.\nAnswer: -56*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.3787*-0.04\nAnswer: 0.135148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {h: 1, q: 4, m: 2, z: 3, r: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327441.\nAnswer: 3, 109147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 33*b + 9963. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/(-180)*291\/4 and 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -392 (c) -1370\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 3 - j**2 - 4*j**2 - 3*j**3 - 2 + 3*j + 3*j**2 as o*j**2 + g*j + x*j**3 + b*j**4 + m and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111*-1959295.\nAnswer: -217481745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045833 rounded to 4 dps?\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 + 11 = 4043*r - 4050*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 55 = -775. What is the derivative of t - 8 + 249*q + 45 - 67*q wrt q?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 4*h**2 + 4*h + 1. Is i(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 402*w**2 + 120*w - 9. What is c(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 - 1\/120*r**5 - 9*r**2 + 0*r - 1\/3*r**3 - 1\/12*r**4. Let i(n) = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/143655 and -151\/5628.\nAnswer: 269496780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h. Let a(t) be the first derivative of 229*t**3\/3 - 297. Calculate n(a(j)).\nAnswer: -458*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6 + 12.2. Let p = -17 + a. Let x = -1.1 - p. Are x and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 979 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) + sqrt(32) - sqrt(2)) + -4.\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9933 and -29\/28552.\nAnswer: 6595512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*r**3 + 8*r + 27 wrt r?\nAnswer: 54*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l**2 + 24*l**2 + 24*l**2 - l**2 + 5 - 5 - 3*l - l**2 + 3*l + (-4 + 0 + 2)*(2*l**2 + 3*l**2 - 3*l**2) - 2*l**2 + 4*l**2 - 3*l**2)*(4 + 1 - 2).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6694?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:31 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4554112 - 77?\nAnswer: 4554024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 266*t - 1951. Give n(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjbjajbbjajajtjbb. Give prob of sequence ajjb.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -578*m - 242*m - 198*m + 130*m - 194*m to the form l*m + c and give l.\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 18*h + 34. Calculate y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*d + q, -5*q = d - 8*q - 8. Let j = 7 - 5. What is the lowest common multiple of d and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.712*-3.7.\nAnswer: 10.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426367443.\nAnswer: 3, 1069, 132949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*r + 5*r. Let v be ((-14)\/(-35))\/(r\/10). Suppose -4*l + 17 - v = 0. Solve -3*j = 3*t, -l*t + 7*t - 12 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 40. Let v be (-2)\/(-8)*q*-6. Is 5*-4*(2 + v)\/(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -460*o**3*u**3 + 4269*o**3*u - 1048345*u**3 with respect to o.\nAnswer: -1380*o**2*u**3 + 12807*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let o = -77 - -80. Let i(n) = -o*n + n + p*n. Let w(t) = 6*t**2. Calculate w(i(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 - b**2)*((106*b - 106*b - b**2)*(4*b - 3*b + 0*b) + (-2*b + 12*b + 0*b)*(3 + 2*b**2 - 3)).\nAnswer: -19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c - 0*c. Let g be ((-40)\/12)\/c*918. Let y = g + -233. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -309, -0.1, -73\/4, 1\/7 in decreasing order.\nAnswer: 3, 1\/7, -0.1, -73\/4, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43480 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 + 263 = q. Let u = q + -273. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1676*k**2 + 6*k - 20. Let h(b) = b**2 - b. Let w(t) = -6*h(t) - l(t). Find the first derivative of w(s) wrt s.\nAnswer: 3340*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 47 = 5*x, 4*j + 92392*x - 92389*x - 13 = 28 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0 (b) 9 (c) 1\/5 (d) -4 (e) 10482 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 22 - 6. Let n = -12\/1585 - -62581\/17435. Let g = n - 46\/11. What is the nearest to 1 in 3\/4, g, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2 - (-2 - (-4 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 81.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 228535, 454672, 680809, 906946, 1133083, 1359220?\n\"Answer: 226137*o + 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8846 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16) - 3\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -92. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1646*g - 143 = 1657*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 3.85. Let c = k + 0.2. What is the closest to -0.2 in 0.5, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.88 - 0.48. Let f = -31 - -22. Let n = 14 + f. Which is the nearest to 2? (a) g (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105814151 - 4?\nAnswer: 105814146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(((-4)\/268)\/1). Let p = x - -69. Suppose p*z - 12 = 10. What is the least common multiple of z and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*y - 86*y - 1 + 12*y.\nAnswer: -211*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:07 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 32. Let c = -14 + r. Suppose -3*b + 8 = g, 0 = -3*b - 8*g + 3*g + 16. Calculate the greatest common divisor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-48)\/54)\/(-4) + (-248)\/(-18) is divided by ((-1)\/(-3))\/((-1)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/((-1)\/5). Suppose -s*j + j + 7 = 0. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -293, -1065, -2607, -5303, -9537, -15693?\n\"Answer: -64*c**3 - c**2 - 321*c + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t + 3. Let s be h(-7). Let v = 12 + s. What is the third derivative of -5*x**2 + 8*x**5 - 10*x**5 + v*x**5 wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q + 332 = -i, q = -3. Let o be (2 - i\/(-28)) + 6\/21. Let a be 14\/21*1\/5*o. Is 1\/4 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-10)\/(-32) + 1 + (-42)\/(-24). What is i in 0 - 3*i**3 + 0*i - 1\/4*i**5 - r*i**4 - 2*i**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 n when four letters picked without replacement from {p: 4, n: 5, v: 3}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63868.8cm to nanometers.\nAnswer: 638688000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**9\/504 + b**6\/20 - b**3\/2 + 3*b. Let a(j) be the second derivative of c(j). What is the third derivative of a(h) wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from wwwwwwwwwwwwwlwwwww?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.166 + 0.934. Let i = f + -51.9. What is the closest to -2\/5 in 3\/7, i, 2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {b: 1, c: 1, a: 1, q: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205816705 is divided by 2014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 840 and 32?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -6 in ascending order.\nAnswer: -6, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r + 0*r - 6*r - 10*r - r + 0*r + 0 + r + 0 + (2*r + 1 - 1)*(1 + 2 - 2))*(-2*r + 2*r + r) to the form q*r**2 + w*r + i and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 - -270a?\nAnswer: 274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(2\/(7\/(84\/8)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 3*p, 3*m = -p + 12. What is the lowest common multiple of (m\/1 - 0)*28\/16 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 + (6 - (-4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 25 = -35. Let a(x) = 2*x**2 + 4. Let l(n) = 0 + 5 - 3*n**2 + 6*n**2. Calculate g*a(v) - 4*l(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/6)*b)\/((b**(-7\/2)\/b)\/b))\/(b**(3\/8))**(10\/13))**(-1\/29) assuming b is positive.\nAnswer: b**(-943\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 28 = -2*l. Suppose -3*w + l + 2 = 0. Let b(v) = -v**3 + 5*v**2 - 2*v - 5. Let z be b(4). Solve z*u + 3 = -w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b + 5. Let w(d) = 9*d + 4. Suppose 5*h - 39 = 5*l + 3*h, -2*l + h = 16. Give l*w(f) + 6*v(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 7 = -x, -m = 5. Let r be 27\/(-12)*x\/(-6). Calculate the highest common factor of r and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*s = 257*s + 38 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s. Let h be j(-3). Let q = h + 0. Is (-6)\/(-4)*(-190)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/10 - 5*d**4\/12 - d**3 + 11*d**2\/2 - 176*d - 5. Let q(r) = -r**3 - 3*r**2 - 3*r + 6. Give -6*b(s) + 11*q(s).\nAnswer: s**3 - 3*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let p be 2\/(-4)*(y + -3). Which is smaller: -2\/13 or p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*z + 4596 = 0, z = 3*z - 6. Suppose 6*i - b = -60. Calculate the greatest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let m(t) = t. Let r(o) = -8*m(o) + 5*w(o). Suppose -7*k + 24 = -3*k. Let y(h) = -2*h**2 + k*h - 6*h. What is r(y(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1870 and 280738.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*i + 4 = i, 3*i - 3 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64607.79nm?\nAnswer: 0.006460779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*t - 64, 3*i - 4*t = 158 - 116 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -2*c, 4*c + 0*f + 2*f + 34 = 0. Let g be (-9)\/c + (-4)\/8*-761. Suppose -2*d - 2*a = -176, -d + 2*a = 3*d - g. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 537460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/300 - 2*w**3\/15 - 11*w**2\/2 + 11*w. Let s(d) be the first derivative of p(d). Suppose s(q) = 0. Calculate q.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/1380 and 65\/4278.\nAnswer: 42780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 9, 3, -17, 5 in descending order.\nAnswer: 9, 5, 3, 2, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - z - 25, -4*u + 0*u + 4*z + 20 = 0. Suppose 4*q - 5 + 1 = -4*f, q - 25 = -u*f. What is the derivative of -7 - f + 12 + i**4 wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32219 times -201?\nAnswer: -6476019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1116ca0 (base 13) to base 3.\nAnswer: -100212022200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-6)\/(-10) - (-1 - -229). Let j = -227 - u. Let r(g) = g**3 - 4*g**2 + 4*g + 2. Give r(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 171*w + 40. Is l(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -2*z**2 + 1\/6*z**3 + 0 - 21*z + 5\/12*z**4 - 1\/20*z**5. Determine d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34 + -0.06. Let m = -11 - -10. Let i = -1.1 - m. Put z, i, -0.5 in decreasing order.\nAnswer: i, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234*-7.\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4 - 1 = 4*j, 3*u + 5*j + 16 = 0. Suppose z - 41 = 4*p - p, -u*p = -15. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 568980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 - 10*i**2 + 82*i**2 - 64*i**2. Let n(h) = h**2 + h - 1. Let j(b) = -24*b + 24. Let l(k) = -j(k) - 24*n(k). Determine d(l(c)).\nAnswer: 1728*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 - 12*y - 54. Let v be z(9). Let o be 1 - (1\/2 + 0). Which is the closest to v? (a) o (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917281 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 460\/(-425) + (-10)\/85. What is the nearest to -1\/3 in 2, f, -182?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101111 (base 2) in base 10?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 450*l**2 + 900*l. Let d(v) = -v**2 - 4*v. Determine 2*b(x) + 450*d(x).\nAnswer: 450*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b. Let m = 5 - 7. Suppose -2*q + 1 + 3 = 0. Let l(c) = 1. Let y(o) = -o + 1. Let z(g) = m*l(g) + q*y(g). What is d(z(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and 71\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1330\/3 + -417. Let g = -26 + k. Let q be -4*(-5)\/60*3. Is q at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 3*w**2 - 3*w**4 - 24*w + 11*w**2 + 881*w**3 + 5*w**4 - 843*w**3.\nAnswer: 2*w*(w + 1)*(w + 6)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -29*f**3\/3 - 88*f**2 - 97*f. Let x be k(-8). Round x to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5*d - 23, -26*x + 31 = -5*d - 30*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -119 - -3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nddndddddddddddddddd. What is prob of picking 2 d?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - -51) + -41 + -26.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 1. Let p(g) = -g**2 - 2*g - 2. Let z(m) = -2*c(m) + p(m). Let o(l) be the third derivative of 3*l**4\/8 - 11*l**2. Determine o(z(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 63 = 42 - 14. Let k(p) be the first derivative of p**4\/4 - 7*p**3\/3 - p**2\/2 - 3*p + 1. What is k(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwmrvbwmmvrk. What is prob of sequence bwk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/56 and 143\/308112?\nAnswer: 308112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -63. Suppose i - 19 = -5*q, -4*i - q = 1 - z. What is the lowest common multiple of 3 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + u + 0)*(u + 0*u + u) - 8*u**2 - 1471 + 1471)*(1 + u**3 - 1).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 123033330332 (base 4) to base 10\nAnswer: 7143230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 206977.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfkukwf. Give prob of sequence uwgf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8616802, -8616804, -8616806, -8616808, -8616810, -8616812?\nAnswer: -8616814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142360214 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1481616 and 9.\nAnswer: 1481616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7170260 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310 + 336. What is the highest common divisor of b and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4 - 2. Let a = -4 + q. Suppose a*w + 3*w = 35. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/(15589\/(-9432)) - -17?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 670 = -35. Let d = -79 + i. Let p(o) = -7*o**3 + o**2 - o - 1. Let v be p(-1). What is the highest common divisor of d and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + 27. Let k(t) = -10*t + 80. Give 3*k(w) - 8*v(w).\nAnswer: 2*w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - s - 18, 6215 = 5*w + 5*s + 6230 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*s + 42, -3*u + 38 = -2*s + 64 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/(-650))\/(6\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 5*y + 2*y**3 + (2*y**2 + 2*y**2 - 6*y**2)*(y - 3*y + y) - y + 10*y**3 + 5*y**3 + 16*y**3 as u + z*y + s*y**2 + d*y**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2062*a**3 + a**2 - 24*a + 24. Is d(1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 868294*c*k**3*w - 2*c*k*w*z - 47868*c - 2*k**3*w*z + k**3*z + 2*k**2*z - w*z wrt k?\nAnswer: 5209764*c*w - 12*w*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.91 - 0.09. Suppose -2*j + 0*j + 10 = 0. What is the nearest to -1\/2 in j, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 943*-5*2\/(-10). Is (-1)\/(-1) + f + 9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -551*w + 1964. Let o be r(-53). Round o to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - (2 + 10)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**2 - 573*m + 181. What is o(47)?\nAnswer: -2451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4228029*v**4 + 635*v**3 - 4228028*v**4 + 383*v**3 + 3*v**2 to the form j*v**3 + d + y*v**4 + n*v**2 + l*v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -58.4?\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 13. Let i = 10 - 9. Let v(r) = 3*r + 7. Let u be v(-4). What is the closest to i in u, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -18. Suppose -64 = 994*y - 986*y. Let d be y*(v\/8 - -2). Solve 9 = -3*n - 2*g, 2*n + 3*n - d = 3*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/5 (b) 204 (c) 6 (d) -29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2) - 13\/(-26). Suppose 0 = -8*k + 304 - 112. Calculate the greatest common divisor of m and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7802 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 22 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46989 and 27?\nAnswer: 140967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 717 - 763.9. Let q = 47 + b. Suppose 4 = 2*z - 0. What is the second biggest value in 4\/3, z, 2\/11, q?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*n - 3 - 16 = -7, 0 = c + 5*n - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 38 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250513\/18 - -13925. Calculate the common denominator of -83\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, f: 2}. Give prob of picking 1 s and 1 f.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1577 + 1373. List the prime factors of q.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/3 - 6592*p**3 + 138508*p**2\/3 - 72560*p + 98950\/3 = 0. What is p?\nAnswer: -9895, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 70.5. Sort s, -2\/21, -0.1505.\nAnswer: s, -0.1505, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1299 + -659. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 10*n - 472. What is d(22)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(2 - 2 + 1)*(36*j**4 + 37*j - 37*j) to the form u*j**4 + g*j + t + q*j**3 + c*j**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507406 is divided by 2338.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i**3 - 38 - 14*i**3 + 14 - i**2 + 0*i**2 to the form d*i + y*i**3 + g*i**2 + p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224426?\nAnswer: 2, 112213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 178*c + 64063 = 175*c, -128144 = -2*s - 3*c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197808 and 9872?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) 4777 (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let q(c) = -27*c - 17. Give q(g(f)).\nAnswer: -27*f - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/30*(-9)\/(-3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c + 18. Is 21 a factor of (-168)\/(-9)*c*4\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.453 and -17873?\nAnswer: -490667.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(-1\/2)*c*c**(-10\/3)\/c assuming c is positive.\nAnswer: c**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/56288 and -43\/147080544?\nAnswer: 147080544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 7*v + 10. Let b be y(-8). Suppose -b*s + 3*s = 0. Solve 4\/7*f**3 - 2\/7*f + 0*f**2 + s - 2\/7*f**5 + 0*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -24*c**3 + 2*c - 17. Let p(a) = 17 - 14 + a**2 - 17 - 72*a**3 + 7*a - 36. Let x(v) = 2*p(v) - 7*y(v). Differentiate x(s) with respect to s.\nAnswer: 72*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, z: 2, q: 2}. Give prob of picking 2 x.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 2*g + 5*s, 2*g - 46 = 5*s - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2869*t**2 + 317700*t**3 + 5744*t**2 - 2875*t**2 - 317702*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 10014. Let a(s) = -11*s**2. What is i(a(y))?\nAnswer: -11*y**2 + 10014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.32. Let s = l - -25.68. Let c = 26.72 - s. What is c rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.073957 + 0.193784. Let b = -0.92 - -0.8. Let s = b + l. Round s to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -38 (b) 0.1 (c) -91 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/120 - 152*n**5\/5 + 1215*n**4\/8 - 911*n**3\/3 - 79*n**2 + 2*n - 1. Factor v(p).\nAnswer: (p - 1822)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxqq. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 2*w**2 + 5*w + 3. Let r be z(-1). Put -1, 3, 1, r in ascending order.\nAnswer: r, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + 3 + sqrt(48) + -2)**2 + (sqrt(2352) + 4*(sqrt(2352) + (sqrt(2352) - (-1 + sqrt(2352)))) + sqrt(2352))**2*-6.\nAnswer: -508064 - 8032*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-4 - -4)*1. Suppose -4*x = -p*x. Suppose x*t = 2*t - h, -t - 5*h = -22. Solve -2 - t = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*-2 - -3. Let p(j) = 4 - 48*j**g - 2 + 49*j**2 - 1. Let i(f) = -f**3 - f**2 - 2*f + 1. Let s be (-1)\/(-1*(-2 + 1)). Determine s*i(a) - p(a).\nAnswer: a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -224276557 divided by -7?\nAnswer: 224276557\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 23*d**2 - 12*d - 9. Let r(h) = -h**2 + h. Let x(c) = 5*r(c) + u(c). Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1884561, 0 in descending order.\nAnswer: 0, -17, -1884561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2976891566.\nAnswer: 2, 11, 167, 810259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = -32*z - 6*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtt when three letters picked without replacement from {k: 1, x: 6, q: 3, c: 5, t: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1045380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -29.4, 2, -11, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 2, -48, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 18*b**2 - 17*b - 9. Let k be v(-7). Calculate the remainder when k\/(-48)*6\/(-4) is divided by 11 + 0 + (3 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25ab13 + -2?\nAnswer: -25ab15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 94 (c) 0.5 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 0*y + 0*y)*(-114 + 195 + 159 + 88) to the form w + c*y and give c.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {k: 2, g: 1, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01018 and -6.\nAnswer: -0.06108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4081*j**2 + 4098*j**2 - 423*j + 423*j.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480123?\nAnswer: 83, 29881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*v + 17 = -38, 5*u + 5*v = -5. Let a be 16\/64 - (-39)\/4. Let f = u + a. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 36. Suppose 0 = -31*i + b*i. Sort 4, -9, i.\nAnswer: -9, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -8, -3, 7, 5, 2, 1 in increasing order.\nAnswer: -8, -3, 1, 2, 5, 7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f - 58. Determine n(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142220824 is divided by 1305.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 5883*o + 5884*o + 5, 0 = -8*y - o - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 2. Solve -5*f = -4*f - j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d + 32. Let q be o(8). Let u be 4\/6*(-1 - -13). Suppose 6*x = q*x - u. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 0*z**4 - z**3 - 4*z**4 + (-1 + z**3 + 1)*(-5*z + 0*z + 2*z).\nAnswer: -10*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -268 - -273. Sort -157, -5, f in decreasing order.\nAnswer: f, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 - 198347*f**4 + f**3 - 23*f + 45635 wrt f?\nAnswer: 20*f**3 - 2380164*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6953958 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.28, -0.3222, -2\/23, 171.\nAnswer: -0.3222, -0.28, -2\/23, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*a - 26. Let j(s) = -1 + 12*s - 17*s + s + 5*s + 0. Let p(n) = 5*n - 8. What is a*p(y) + 6*j(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 + 1 = 0. Let s(o) = -o**3 - 11*o**2 - 5*o + 50. Let c be s(-10). Sort -5, c, b in descending order.\nAnswer: c, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shh when three letters picked without replacement from {s: 3, h: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 418605947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**10*(o**10\/o)\/o)**31 assuming o is positive.\nAnswer: o**589","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6\/5 (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927 is divided by 66 - (-13 + 100\/10)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*b*l**2 - 127*b*l - 2*l**4 wrt l.\nAnswer: -174*b - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 332283 (base 9) to base 6\nAnswer: 4131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.11 - 24.13. What is the closest to 1 in k, 0, 385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.067263389479 + -4\nAnswer: -4.067263389479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 14*l - 168 = 0. Let y(v) = 3*v + 15. Let z be y(-4). Suppose 3*i - z*t + 1 = -8, 50 = -5*i - 2*t. Which is greater: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/35*4\/(80\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1562363\/92 - 16982. What is the common denominator of l and 19\/506?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5 + 4) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.03 (b) -2250 (c) -4\/3 (d) -10.7 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*u + u - 19, -h - 21 = 4*u. Sort h, 2, -3, -1 in increasing order.\nAnswer: h, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.315 - 0.087. Let w = d - 0.385. Round w to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194826 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 587.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 + -319 + 69 - (-7 + 1 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1506 + 2734. What are the prime factors of k?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 - 96*n**4 + 414*n**3 - 636*n**2 + 429*n - 108 = 0. What is n?\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/595? (a) 1\/7 (b) 2\/3 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 3527943.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 22609*k - 22613*k + d, 16*k = -3*d - 99 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 2. Let g be 5 - (w + -1) - 2. Which is the nearest to 4? (a) g (b) 3\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 26\/6)\/(3\/18). What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*u + 1165 - 2022 + 1025 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 2*y**2 + 2*y**2 - 82*y**2 + 74*y**2 + 44*y**2 + (-2 - 2 + 2)*(y**2 - 2*y**2 + 0*y**2) - 2*y + 2*y + 2*y**2 + (4 - 5 - 9)*(y**2 + 9*y - 9*y).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28981*w - 28535*w = -446 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 - (-176)\/55. Suppose 36 = -i*g + 5*g. 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: What is the next term in -1035, -1124, -1277, -1500, -1799, -2180?\nAnswer: -2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9*3\/(-5). What is the nearest to j in -2\/3, 3, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483680 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r + 20. Let x be (0 + (0 - 1))*-1. List the prime factors of (27 - 0 - r)*x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 3*m - 17, -2*b - 6 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**3 - 7*n**2 + 8*n + 4. Determine w(2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(3 - 5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 1 + 24. Let m(l) = l**3 + 4*l**2 - 6*l - 5. Let d be m(q). Let c = d - -6. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i\/i**(-2))))\/i**33)\/(i**(-1\/19)\/(i\/(i**7*i*i*i))) assuming i is positive.\nAnswer: i**(-759\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 95 + 35. Is (-342)\/k*(-2)\/3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5590396?\nAnswer: 2, 7, 199657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 6 - 6. Let q = -265 - -302. Calculate the remainder when q is divided by (t\/2)\/(3\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19438445 to the nearest integer?\nAnswer: 4409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -19*k + 21*k. Find the third derivative of 5*f**4 + 28*f**4 + 10*f**2 - k*f**2 + 10*f**4 wrt f.\nAnswer: 1032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 230 - 230. Let b be ((-2)\/5)\/(1\/(-5)). Let d(y) = y**2 - 3*y - 1. Determine b*d(v) - 6*r(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**4 - 920691*q**3 + 227502738*q**2 + 114441891*q - 113981544 = 0. Calculate q.\nAnswer: -1, 1\/2, 248, 153201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/4 - 783*y**4\/4 + 83655*y**3\/2 - 1332422*y**2 - 3174648*y + 11347488 = 0 for y.\nAnswer: -4, 2, 41, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 358*c**2 + 12*c + 24. Let r be a(-10). Let x = -1217\/12151 - -29502358377\/826268. Let y = x - r. Find the common denominator of -69\/4 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 16*h + 22. Let n(a) = 2*a**3 + 12*a**2 + 22*a - 2. Let d be n(-3). Give o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (30\/25)\/(6\/1700 + 0) and 272?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191*f**3*x - 5*f**3 + 44*f**2*x + 997636*f*x wrt f.\nAnswer: 7146*f*x - 30*f + 88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40, -0.2, -1\/2, 7\/4, 0, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. Let n(f) = 2*f - 8. Let k be n(j). Let g(l) = -l**2 + 5*l + 2. Let y be g(k). Let z(b) = 4*b + 2. Let m(p) = -5*p - 3. Give y*z(a) - 3*m(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-2\/7))\/g*g)**47*g**(1\/5)*g**(2\/7) assuming g is positive.\nAnswer: g**(2837\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8 - 7. Suppose -7*o = -3*o - 628. Suppose l + l + 2*v = 172, 2*l = -w*v + o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21486?\nAnswer: 2, 3, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 9*d**2 - 4*d + 5. Let t be v(-4). Let g = t - -50. Let b be ((-8)\/(-60))\/((-8)\/10). Sort 3\/2, g, b.\nAnswer: g, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y - 5*t - 13 = -58*y, 2*y + 9 = -3*t. Let x(b) be the second derivative of 0 + 0*b**y - 16*b + 3\/16*b**2 - 1\/32*b**4. Suppose x(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 312. Let r = -263 - i. What is the greatest common divisor of r and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Let o = 0.05 + 4.95. Let q = o + -4. What is the biggest value in -3, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -3, -0.055, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 89*z - z**2 - 351 + 4*z**2 + 367 - 25*z - 34*z. What is c(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 9 + 2 + 4*k - 16. Let s be f(6). Sort -17, s, 5 in ascending order.\nAnswer: -17, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 3:26 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -59. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 7. Let d be m(-4). Let s be (-1)\/(-2) - (-44)\/8. Let z be (-1 - -3)\/(s\/39). Solve -d*a + 2 = -z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2315\/6 + -385. Suppose 0 = -g - 2 + 4. Is g greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = -7. Let v be s\/(((-6)\/(-4))\/3). Let o = v + 10. Put o, 3, -5 in decreasing order.\nAnswer: 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5 - 180*r**4 - 2985*r**3 - 9900*r**2 + 13068*r = 0.\nAnswer: -33, -22, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8248?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4236320 and 16945280.\nAnswer: 16945280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 26620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/9 (b) 41 (c) 4 (d) 1 (e) -28.72 (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39873, 45706, 51539, 57372, 63205, 69038?\nAnswer: 74871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**2 - 24*i**2 - 14*i**2 + ((2*i - 6*i + 2*i)*(-2*i - 2*i + 5*i) - i**2 + 2*i**2 - 2*i**2)*(-2 + 3 + 0) in the form x + n*i + c*i**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = d + 3*z - 33, -4*d + 741 = z. List the prime factors of d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -1577?\nAnswer: 22078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -563, -18, 9.16, -5.\nAnswer: -563, -18, -5, 9.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24535\/3 or 8179?\nAnswer: 24535\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 3082?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 67*p - 1076. Let q be f(40). Solve q*n + 151*b = 146*b - 7, -2*b - 13 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2)*(-11160)\/4836\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(4\/3)\/u*u**(-10))**(-10\/17) assuming u is positive.\nAnswer: u**(230\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -6*y - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 33*i**2 + 58*i + 267. What is the hundreds digit of k(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 2 = 0. Factor -1 + 4*r + 0*r + 2*r**2 - 2*r**3 - i*r + r**5 - r - r**4.\nAnswer: (r - 1)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 239*x + 1 - 14*x**3 - 484*x + 249*x.\nAnswer: -14*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -75*9\/((-225)\/(-10)). Let l = -49 - t. Is l less than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a + 3. Let z be y(0). Suppose 4*b + u - 45 = 0, -33 = 4*b - 6*b + z*u. Is 2462\/2 - b\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 31*h**3 - 5 - 12 + 14*h**3 + 13*h**3 - 3*h to f + t*h + g*h**2 + v*h**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1+127283015\nAnswer: 127283016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-105)\/(-63))\/((-10)\/(-216)). What is the highest common factor of v and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -32. Let h = -3 + 2.9. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57.2? (a) 1137 (b) -0.5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 4, m: 10}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.1. Let n(z) be the first derivative of z**2\/2 - 15*z + 1. Let c be n(20). What is the nearest to 0 in -2, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.538 - 0.062. Let n = -24 - -21. Let p = n - y. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*s - 3. Let o(j) be the third derivative of j**4\/8 - j**3\/6 - j**2. Give o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r. Let z be p(-3). Let h be ((-4)\/(-12))\/(1\/z). Solve l = 4*w + h, -w - 2 + 1 = -l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39767, -39773, -39775, -39773, -39767, -39757, -39743?\nAnswer: -39725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8884 is divided by 1976.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Suppose 4*x + 0*x + 36 = 4*a, a + 4*x = -11. Let p(v) = -v + 3*v + 2*v - a*v. Give w(p(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -144. What is the third biggest value in -2, 2, 2\/89, g?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-4)\/2 - -228. Suppose 3*m - 130 = m + 4*f, -4*m + f = -k. Suppose 0 = 2*y - 225 + m. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - o = 2*o - 28, -5*p - o = -26. Suppose -9*n = -4*n - 15. Let j = n - p. Which is the third smallest value? (a) -6 (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9103 + -829.7103. Round t to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923922194?\nAnswer: 2, 7069, 206813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 29. Suppose -8 - z = -f. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4\/5 (c) 3 (d) 164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 8603422\nAnswer: -25810266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 223. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143949209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/40 + 21*t**4\/2 - t**2 + 147*t. Suppose a(x) = 0. Calculate x.\nAnswer: -168, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + 5 + 2 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 6*r. Let h(d) = -5*d**2 - 10*d. Let g(w) = -3*h(w) - 5*m(w). Let c(b) = -6*b**2. Calculate c(g(y)).\nAnswer: -150*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30410 - -60821\/2. Factor x*b**4 + 11\/2*b + 3*b**3 - 3\/2 - 7*b**2 - 1\/2*b**5.\nAnswer: -(b - 1)**4*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1326 and 7.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 3. Let p be (-8 - -18)\/((4\/6)\/2). Suppose -3*i + 13*i + p = 0. Let l(n) = -7*n - 7. Let a(d) = i*l(d) + 5*t(d). Calculate a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, c: 7}. What is prob of picking 1 o and 3 c?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -16 (c) -0.1 (d) 45 (e) 0.22 (f) 5 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 + 446. Calculate the remainder when g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 16. Give t(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 times -18.2?\nAnswer: -4440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 19*u - 25. Let q(b) = 2*b**3 + 15*b**2 + 22*b + 87. Let d be q(-7). Determine j(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -105 in descending order.\nAnswer: 1, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faffffzsofaaaa. Give prob of picking 4 f.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4214973.3 to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 198*g - 1467. Give r(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*i - 6, -37*i + 35*i + 24 = 5*m. Let j(h) = -225 - 4*h**i + 448 - 230 - 5*h**3 - 6*h + 4*h**3. Calculate j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/21, -0.4, -4, -0.5, -1.1726?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9286 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4761327002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 27*m + 75. Let b be c(14). Let p = b - -161. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55098943 divided by -3.\nAnswer: -55098943\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9 - 2*y**2 - 9. Let s(w) = -243 + 79 - 23*w + 82 + 82. Determine s(c(x)).\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11264 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 + 2*l + 1. Give h(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204 + -656581?\nAnswer: -656376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = n + j, -4*n = -8*j + 4*j - 148. Calculate the smallest common multiple of n and 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -5*r**6\/12 + 5*r**5 + 2. Factor t(k).\nAnswer: -5*k**4*(k - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1773 divided by -3\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -144*y**3 + 63*y - 4. Let n(d) = -3600*d**3 + 1575*d - 99. Let r(x) = 99*g(x) - 4*n(x). What is the second derivative of r(u) wrt u?\nAnswer: 864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-4*(-8)\/(-16))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 20 - 0. Let y(g) = 11*g + 2. Let u be y(-2). What is the remainder when 2 is divided by (-28)\/u - 4\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3558861*c**3 + 130627*c**2.\nAnswer: -21353166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)*2*2\/4. Let r be (-1128)\/(-6325) - (4\/22 + 0). Is r at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6304216 - 4?\nAnswer: -6304223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/22*3*(-40)\/90.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 - g**4\/3 - g**3\/2 - 35*g - 7. Suppose 5*s + p = -5, 3*s - s - 4*p + 24 = 0. Give j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15212 - -2?\nAnswer: 15214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.64094647 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 142.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20047 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341*q**2*x**2 - 134815*q**2*x*y + q*x**2 + 42379*q*x*y - q*y + x*y - 2*y - 1 wrt q?\nAnswer: 682*x**2 - 269630*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 82. Suppose x*y - 4 = 7*y. Suppose -966 = -5*a - 0*v - 3*v, -y*v + 4 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15.063903ns?\nAnswer: 0.0000000000041844175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67607448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((15\/9)\/1)\/(7\/42). Let s(q) = 5*q**2 + 14*q - 245. What is the hundreds digit of s(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-18) - -1)*1\/7. Let f(r) be the third derivative of 1\/8*r**4 + 0*r + x*r**3 - 7*r**2 + 0. Give f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*l - 2 - 26*l + 16*l**4)*(l - 2*l - l).\nAnswer: -32*l**5 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194*f*n**5 - f*n**2 + 73*f*n wrt n.\nAnswer: 3880*f*n**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5829\/20 and -292 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180850*-579.\nAnswer: -104712150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 321\/(-21) + (12 - 4)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00696818183 rounded to five dps?\nAnswer: 0.00697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28359, 113397, 255127, 453549, 708663, 1020469, 1388967?\n\"Answer: 28346*f**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -924, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114124, 228262, 342398, 456532, 570664?\n\"Answer: -r**2 + 114141*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118095\/2 - -18895251\/320. Find the common denominator of b and 11\/224.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87015 and 755?\nAnswer: 13139265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 214*y + 413*y - 210*y.\nAnswer: -4*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 7:16 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Let x = -1388.6 + 1389. Let g = 8.6 + -8.7. Which is the nearest to g? (a) 0.29 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 795, 1740, 2861, 4158, 5631?\nAnswer: 7280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 4*x + 2*x)*(-278*x - 59*x - 104*x) to b*x + w + j*x**2 and give j.\nAnswer: -2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*h + 63, -40 = -2*a + 5*h + 13. Suppose 2*k + 31 + a = 0. List the prime factors of 2\/3 + k\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 + 139 - 143 - 2*j**4 + (2*j - 2*j + 2*j**3)*(-5*j + 2*j + 11*j) + (3*j**2 - 11*j + 11*j)*(j - j - 2*j**2).\nAnswer: 12*j**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*h + 40580 = -69*h - 19616. What is the smallest common multiple of h and 36?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/90 + (-4)\/18. Let l be (-3 + 2 - 2)*(-6)\/9. Suppose -2*y = -l*u - 6, -y - 5*u + 8 - 17 = 0. Which is the closest to y? (a) -2 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*p - 7*p. Let n be p\/(-8) + (-17)\/(-4). Suppose 88 = n*i + 4. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000186709461 to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from hnt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 74847134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5 - 64617*m**4 + 4981438*m**3 = 0.\nAnswer: -64694, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459546 is divided by 8206?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 1. Let k be l(1). Let n be 56\/16 + k\/(-2). Suppose -10 + 35 = n*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2850*n**5 - 2080*n**2 + 2080*n**2 + (2*n - 2*n + 2*n**3)*(-n**2 - 2*n**2 + 6*n**2).\nAnswer: 2856*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.50854 take away 12.631575?\nAnswer: -15.140115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 406 - 4049\/10. Calculate the common denominator of l and -47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**2\/13 - 8602*d\/13 + 637896\/13 = 0. Calculate d.\nAnswer: 84, 3797\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {n: 1, t: 6, v: 1, d: 5, l: 1}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 90.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l)\/(l*(l\/((l\/(l\/l**4))\/l))\/l*l*l*l))\/(l**(7\/3)*(l\/(l**(-3)\/l)*l*l)\/l*l) assuming l is positive.\nAnswer: l**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 252070.4 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 9:34 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(3)*-4)\/(sqrt(1134)\/sqrt(2)).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -149*d**6\/30 + 11*d**4\/24 + d**3\/3 - 410*d**2. What is the second derivative of g(o) wrt o?\nAnswer: -3576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:10 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525981\/33 + (3 - (1 - 0 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9138\/54 + 4\/(-18). Let f = -345\/2 + i. Calculate the common denominator of -97\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o. Let q be 9\/2 + (-3)\/(-6). Suppose o*m = -q*m + 5750. What is m rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63708 + -2?\nAnswer: -63711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.8 + -26.8. Which is the third biggest value? (a) i (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2084, -2122, -2224, -2390, -2620, -2914, -3272?\n\"Answer: -32*d**2 + 58*d - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 13, 0.5, 2\/31, 2, 0?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u - 5. Let h be p(-4). Suppose 0 = 5*l - 2*g - 10, 4 + 6 = 5*l - 3*g. Solve -5*k = -l*k - h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2721998 rounded to three decimal places?\nAnswer: 15.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 83, 283, 681, 1343, 2335, 3723, 5573?\n\"Answer: 11*c**3 - 9*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.8 greater than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**5\/85 + 14*c**4\/17 - 188*c**3\/51 - 84*c**2 - 306*c + 1045. Factor n(x).\nAnswer: -2*(x - 17)**2*(x + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*t - 3248848 = 47*t - 3244258 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**5\/4 + 3*h**2\/2 + 5*h - 2. Let g(j) be the first derivative of v(j). Find the first derivative of g(y) wrt y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*s**2 - 3)*(-2*s + s + 0*s) - 5 - 127*s**2 - 3*s**3 + 127*s**2 to q*s**3 + t*s**2 + p*s + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(684) - sqrt(684))*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 16. Let z(k) = -k**3 + 4*k**2 + k + 3. Let f be z(t). Solve -f*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6574*r**3 - 3316*r**2 - 22. Let k(u) = 1315*u**3 + 665*u**2 + 4. Let l(n) = -11*k(n) - 2*p(n). Find the third derivative of l(v) wrt v.\nAnswer: -7902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 22, 0, -60, -170, -342, -588?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237230 = 290*t - 221570 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1373.37644539 and 4152.\nAnswer: 2778.62355461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.115102324?\nAnswer: -3.884897676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5800075 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 + 0 + 0 + (-3*h + 9*h + 3*h)*(-13*h**2 + 19 - 19) as z*h**2 + v*h**3 + c*h + b and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/96)\/((-3)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111226 + -5?\nAnswer: -111234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.23609 and 0.014587638461.\nAnswer: 0.250677638461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352110.\nAnswer: 2, 5, 235211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((42 - (-1 + 12)) + -7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0*m + 3*m)*((2 - 3 + 2)*(-2 + 0 + 1) + 0 - 1 + 5 + (-1 + 0 + 2)*(-10 - 7 + 2) - 1 + 0 - 1) to the form k + s*m and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in months?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4501 + -2912. Let y = f + -11093\/7. Let t = 1341\/11 + -122. Find the common denominator of t and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546962174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 484704 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2664*k - 18*k**3 + 12*k**3 - 3299*k - 2 + 5*k**3 + 1730*k.\nAnswer: -k**3 - 4233*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63222731 divided by -923.\nAnswer: 68497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 26. Calculate h(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 293 - 0.003.\nAnswer: 292.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from mmveemvemvevevv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7702.91 - -7703. Is b < -1447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9508.222 weeks to milliseconds.\nAnswer: 5750572665600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.0557 (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -33 + (1 - (2 - -2)) - (-12353 - -12368).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7378025 - -3?\nAnswer: -7378022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -4*p - 3*b, -2*p - 12 = 4*b - 154. Let x = -149 + 218. Let d = x + -47. What is the remainder when p is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 41*l - 148. Let w be g(15). Solve w = 9*f + 26 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 28*y\/11.\nAnswer: -2*y*(y + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 88 + 19 = 0. What is the remainder when t is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 195503\nAnswer: -46\/195503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eittieiiejjijiititii. Give prob of picking 2 i.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3.28, 1, -2, 0.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 161064.\nAnswer: 322128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*j + 453*j - 1862*j + 450*j + 454*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z. Suppose -a - 7 = -4*r - z*a, 2*r + 3*a - 7 = 0. What is the smallest common multiple of r and (6\/(-4))\/(3\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 605575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 2. Let w(s) = -6 + b + 0 - s. Let n = -13 - -7. Let t(f) = -8*f + 6. Calculate n*w(r) + t(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24624347483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v + 20*v**4 + 21*v**4 + 3*v**3 + 20*v**4 - 61*v**4 - 7*v**5 + v**2 wrt v.\nAnswer: -420*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -295\nAnswer: -29.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 63. Let p be l(-7). Solve j = -2*g + 6, g = -p*g + 3*j + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2178\/13 (b) -5\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/45 - 12\/(-90). Suppose 3*a - y = -p, 2*p + 5*a + 12 = 6*a. Put 0, -4, p in ascending order.\nAnswer: p, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5\/11 - 6520*k**4\/11 - 58976*k**3\/11 + 437692*k**2\/11 + 1157694*k\/11 - 1529892\/11 = 0.\nAnswer: -13, -3, 1, 6, 3269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 397*x**2 + 2482*x + 2655. Determine n(192).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2211*q**4 - 10*q**2 - 808744 with respect to q.\nAnswer: 8844*q**3 - 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus 89?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1661*b + 134558. Calculate z(-81).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -2\/17 (c) 0.4 (d) -281.6 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11381, -9614, -7849, -6086, -4325, -2566?\n\"Answer: -p**2 + 1770*p - 13150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = j, -2 + 14 = 3*j. Let k = n - -23. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.2, 3, -37?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 - 3*g - 4. Let j(y) = 2*y - 8. Let w(u) = -u + 8. Let p(q) = -3*j(q) - 4*w(q). Let m be p(-6). Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = -4*q + 9, 2*d + 22 = 4*q. Let l(k) = k + 28. Let f be l(d). Solve 8*h - f + 47 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 385 - 380. Solve -m*c = -5*j + 10, 7 = -5*j - c + 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 131704\nAnswer: 1\/16463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -10376.\nAnswer: 10374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4211314 divided by 3\nAnswer: 4211314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12024, 12023, 12024, 12027, 12032, 12039?\n\"Answer: h**2 - 4*h + 12027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + t - t**2 - 2*t + 52 + t. Let m be v(-13). Which is greater: m or -132?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/65)\/((-264)\/(-270) + 12\/54)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q**3 - 2 - 2*q**2 + 4 + 2*q**3. Let x be (-2)\/(-6) + (-15)\/(-9). Is g(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22577?\nAnswer: 107, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 15*i**2 - 24*i - 34. Let u be k(-17). Calculate the highest common factor of 34 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 11*m - 1. Let v = 481 - 471. What is n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:03 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 773465480 to the nearest integer?\nAnswer: 27811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*f + 34*f + 35*f + 12*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13625 + -0.16375. What is the closest to 15 in 4, x, -19\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fppffdpaaaf. What is prob of picking 1 f and 2 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83351320 greater than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*c + 2*w, 0 = -72*c + 26*c + 2*w + 1144 - 1550 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57671981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137391436 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126 = -71*j + 2495 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 11. Let g = s - -11. Let i(k) = k**3 - 4*k**2 + 4*k - 2. What is the tens digit of i(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238157874 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let f(n) = 70*n**2 - 21*n + 29. What is r(f(k))?\nAnswer: -70*k**2 + 21*k - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-14))\/(2\/(-14)). Solve -v*o = 5*g - 31, 4*o - 4*g = -0*g - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, d: 12}. What is prob of picking 4 h?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 4*p + 4. Let f be b(-5). Let s = f + 43. What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2118bc + -4?\nAnswer: 2118b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4003*u**2 - 2*u - 1. Let j(k) = -2*k**2. Give p(j(t)).\nAnswer: 16012*t**4 + 4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15629381 to the power of 1\/2, to the nearest integer?\nAnswer: 3953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 + -252.7. Let x = 29.3000133 - v. What is x rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 447 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/9960 - 102067\/229080. Find the common denominator of -91\/4 and p.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*u - r, -10*u + 8*r = -30*u + 164 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17117*(-269171)\/(-42) + (-1)\/(-6). Round v to the nearest 1000000.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*d**2*g + 2*d**2 - 9*g - 596 wrt g?\nAnswer: 174*d**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26663\/40 + 667. Let h = -2\/5 + b. Suppose c - 5*w = -10, -3 = -5*c - 2*w + 1. Is c less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5484 and 28463331?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2533 + 2612.12. Let h = c + -75. Let k = -0.12 + h. Sort k, 3\/2, 0.8 in decreasing order.\nAnswer: k, 3\/2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/168)\/(-4 + (-2)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/360*(-15)\/(-20)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1710*u + 1 = 1711*u, -2*n = -u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1\/4. Let r = -17 + 18.1. Let a = r - -1.9. What is the second smallest value in a, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 9 = -s, 6*s - s - c = -12. What is the remainder when 298 + 2 + s\/3 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2043563 and 1353.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -394423, -394237, -394065, -393913, -393787, -393693, -393637, -393625?\n\"Answer: -z**3 - z**2 + 196*z - 394617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Let y(w) = 2*w - 9. Let v(t) = -2*g(t) + y(t). Let q be v(6). Suppose -5*j + 13 = -2, -5*n = -q*j - 40. 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 the value of 2\/(-274)*-1235 - -141*(-120)\/1880?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13375 = -6*v + 23411. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 93*d + 5079. Give x(-130).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027 at most as big as 19027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/919191 and -85\/290043?\nAnswer: 184757391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9 - 5. Let h = -227\/612 + -5\/68. What is the third smallest value in f, h, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 109*d + 12660 = -114*d, d = n - 4218. What are the prime factors of n?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 - -198. Suppose 0 = 3*o + 3*l - 4*l + d, 4*o - 5*l = -24. Let v(f) = 12*f. Let j(i) = -i. What is o*v(b) - 8*j(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38634855?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxxvjxox. What is prob of picking 1 x, 1 b, and 1 j?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2944 and 7544?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21103011 (base 4) in base 5?\nAnswer: -2204320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 2*h. Let s(w) = 2*w**3 - 1. Let b be s(1). Let d(p) = p. Let z(m) = m**3 - 3*m**2 - 2. Let a be z(3). Give a*d(u) + b*f(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022323 rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r**3 - 3334 - 16*r**3 - 11*r**3 + 3334 - 13*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1402*y = -1395*y + 2758*y - 1131 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10796*s**3 - 199*s**2*u**3 + 2*s**2*u + 438*s*u**2 + 915*s + 4*u**3 wrt s.\nAnswer: -64776*s - 398*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 1. Let i(z) = 8*z**2 + 8*z - 7. Let g(o) = -4*i(o) + 36*r(o). Solve g(k) = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -22498?\nAnswer: 22497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*x + 49 - 7 = 0, -30 = -3*y - 2*x. Calculate the remainder when 23 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -38*s + 165. Determine t(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -558 + -2907. Let f = 24211\/7 + c. Let l = -1154\/11 - -105. Find the common denominator of f and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 238004177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 1492?\nAnswer: 120852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2196, -4378, -6572, -8790, -11044, -13346, -15708?\n\"Answer: -2*n**3 + 6*n**2 - 2186*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13592475 divided by 39\nAnswer: 348525","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-4)*(-2 - -4 - 6). Let b(v) = 8*v - 7. Let x(p) be the second derivative of 3*p**3\/2 - 4*p**2 + p. Determine w*b(k) - 6*x(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1294 + -1294.12. What is the smallest value in -3, y, 2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.2 and 802779.\nAnswer: 4977229.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2572 divided by -2.\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from nuxdhnuxk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1110000101100101000101?\nAnswer: -1110000101100101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose v*p + 2*p - 298 = -4*a, -p + 224 = 3*a. Suppose 2*l = 4*b + 30, -5*l + l = -5*b - 60. Calculate the highest common factor of a and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*((-266)\/(-1064))\/(26\/32)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*d**2 + 615*d**2 - 315*d**2.\nAnswer: -744*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 26.6. Which is greater: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62.24, -1\/4, 3, -0.056?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*y - 261 = -11, 3*r + 5*y = 181. Let k = r + -59. Solve 1 + 5 = -k*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -22*x. Let m(p) = -11764560*p**2. Determine m(t(h)).\nAnswer: -5694047040*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-32)\/((t*t*t**(-7)*t)\/(t*t**1*t))*((t**(-2\/13)*t)\/t*t**(-2\/9))\/(t**(-2\/15)*t**(-5)\/t*t) assuming t is positive.\nAnswer: t**(25598\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111.\nAnswer: 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/9 - 8*v**3 + 260*v**2\/3 - 1352*v\/9 - 4394\/3 = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/333 and -11\/10806479.\nAnswer: 97258311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 674*3\/15 - 5\/(-25). Suppose -4*a + 160 = -3*f - 115, f - y = -2*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2111 divided by 2111\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 38959001\nAnswer: 62334401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1296)\/405*65\/(-4). Solve -4*s - 36 + w = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-202 - -194) + -1 + (2 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(396\/(682\/(-31)))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/16 + 262\/12 + -24 - 19?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28803288 divided by -718.\nAnswer: -40116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47b8e (base 15) to base 6.\nAnswer: -4522542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5912.1736 times 3\nAnswer: 17736.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -3*l. Suppose -w - w + 1 = q, 0 = -l*w + 2*q - 2. Let x(a) = -4*a + 134. Let n be x(33). Solve -n*f + 5*f - 3 = w, 5*h - 7 = -2*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206.599996148 - 206.6. What is n rounded to 7 decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18 - (50\/(-15) - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11738 - 8199. What are the prime factors of d?\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245084491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiif when four letters picked without replacement from rfrfiirfrriirfief?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 1. Let x(l) = -36*l + 441. Let v(q) = -5*q + 59. Let o(r) = -30*v(r) + 4*x(r). Suppose 3*w = 6 - 21. Let d(c) = w*a(c) + o(c). What is d(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 9) to base 12\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 135*b**3 - 2967*b**2 - 19573*b + 36501 = 0. What is b?\nAnswer: -23, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6853844 or -6853837?\nAnswer: -6853844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qro when three letters picked without replacement from rqoqorroro.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:09 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752484733?\nAnswer: 7, 11, 13, 223, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 81 (c) -27 (d) 2 (e) 0 (f) 1\/6 (g) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 471 - 463. Let -4\/5*v**g - 36\/5*v**4 + 112\/5*v - 24*v**3 + 48\/5 = 0. What is v?\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -32*u + 553. Let w be l(19). Let s be 183*((-8)\/6)\/(-2). Let r = s + w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3860373 and 0.1.\nAnswer: -386037.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i - 2*i**5 - 3*i - 4*i wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 9. Let q(l) be the second derivative of 6*l + 0 + 1\/2*l**2 + 1\/20*l**5 - 1\/4*l**4 + 0*l**3. Calculate q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3426 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2360*w**2 - 11*w - 549 wrt w.\nAnswer: -4720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (72\/261)\/((-32)\/(-5104))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8534 and -0.3.\nAnswer: 2560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233.4 + 233. Let d = -96.3 - -90. Let q = d + 6. Which is the nearest to -0.5? (a) u (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250087190*i - 125043563*i - 125043621*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 278, 2, -14071, 3 in ascending order.\nAnswer: -14071, 2, 3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 8440.\nAnswer: 430440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + sqrt(468))**2 + 0)*1.\nAnswer: 108*sqrt(13) + 1431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.5961 and 0?\nAnswer: 2.5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 1, v: 5, r: 6, c: 2}. What is prob of sequence recw?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 8. Let u(q) = q**3 - 5*q**2 - 4*q - 1. Let k be u(6). Let w = k - a. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 32*v - 222. Let o be i(7). Let 44*h**o + 11*h**4 - 25*h**4 - 8*h - 16*h**3 - 6*h**4 = 0. What is h?\nAnswer: -2, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6273 and 6876?\nAnswer: 4792572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224060231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 521 + -765. Let d be (u\/(-3))\/(29 - 25). Which is greater: 21 or d?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((10\/(-6))\/(60 + -70)). Sort v, -1826, -2, -1.\nAnswer: -1826, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2. Let r(m) be the third derivative of -5*m**5\/6 - 113*m**2. Determine r(k(b)).\nAnswer: -200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13367*c**3*n*t - 24288*c**3*t + 2*c**3 + 2*n*t wrt n.\nAnswer: -13367*c**3*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4 + 5054602*k**3 - 10109198*k**2 + 5054598*k = 0?\nAnswer: 0, 1, 2527299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3327082\nAnswer: -2\/1663541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121612846 + 121612846 + 6158*w**3.\nAnswer: 6158*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -3\/160*c**6 + 0*c + 5*c**2 - 1\/24*c**3 + 0 - 7\/96*c**4 - 1\/16*c**5. Factor s(r).\nAnswer: -(r + 1)*(3*r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s - 70 + 106. Let y(i) = i**2 + 5*i - 4 - 9*i**2 + 5*i**s - 4*i**3. Give y(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1452870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 3*g + 6, 5*i - 3*g - 18 = 0. What is the third derivative of 3*q**3 - q**3 - 3*q**i + 0*q**3 - 4*q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*w = 5*m - 433*w + 12, -2*m + 4*w = 8. What is the closest to 1 in -3146, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -181, -226, -309, -442, -637, -906?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (12 - 29 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = -p, -2*p - 19 + 7 = -i. Let m = -886715\/133 + 6667. Let j = -6\/19 - m. Which is the closest to 1? (a) 3 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0.0218 (c) 0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 5217020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48.18801 decades?\nAnswer: 4.818801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = p + 140. Suppose 0 = 2*u - d + 2*d + 5, 4*d + p = -2*u. Solve 5*f + 3 - 53 = 5*b, 2*f + 4*b + 10 = u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.8571km to nanometers.\nAnswer: 494857100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169.897 - -168.8. Which is bigger: -2\/9 or x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*a**2 + 15*a**2 - 25*a**2)*(4*a**2 - 5*a**2 + 2*a**2).\nAnswer: -48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/117 - (-2 + (-2915170)\/(-90)). Round r to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -31. Let o = 11 + -9. Is (-5)\/o*376\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 488 (c) 4\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14321 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**6\/120 - p**5\/30 - p**4\/6 - p**3 + p**2. Let k be x(-4). Suppose j - 9 - k = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 1, -842, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 93*a + 273. Give b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, s: 5}. Give prob of picking 2 s.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3*s - 4*s)*(-4*s + 2*s + 0*s) + 4*s**2 + 2*s**2 + 2*s**2 + 3*s.\nAnswer: 6*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 0.0541 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -93246 (b) -1 (c) 0.4 (d) 2\/9 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -0*h + 14*h + 2*v, 0 = 4*h - 2*v - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014840184646 to five decimal places.\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 759186707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2664.722s?\nAnswer: 2664722000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009032 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 1167*i**5\/10 - i**4\/12 - i**3\/2 + 24*i. Let n be p(3). Round n to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-4))\/(18\/504). Let y(c) = -c + 13. Let n be y(12). Let w be n\/((-10)\/(-8) - (0 + 1)). Solve -w*u - j - 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*m**3 + 0 - 1\/5*m**4 + 11236\/5*m - 3233\/5*m**2.\nAnswer: -m*(m - 53)**2*(m - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 4*k)*(0 + 5 - 3).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417 - 421. Let j = -13\/2 + 57\/10. Which is the biggest value? (a) j (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + p - 4093 = 0, 0 = 8*p - 4*p + 8. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z**2)*(-51*z + 3086 - 3086).\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce + -5?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(120)\/sqrt(5))\/sqrt(12) - ((sqrt(60)\/sqrt(3))\/sqrt(10))**2) + (sqrt(22) + sqrt(792)*-4)\/sqrt(11).\nAnswer: -23*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/9 and 28\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 2*l + 32, 16 = 4*p + 4*l. Sort -1, 2, p in ascending order.\nAnswer: -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 8 - (-2 + 2). Suppose -v*o - 384 = 9*o. Which is the closest to -3\/2? (a) -0.3 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -16. Suppose -5 = -2*j - 1. Suppose -3*z + 101 = -0*z + y, j*z + 2*y - 66 = l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, m: 3, k: 2}. Give prob of sequence pkpp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -818, -806, -790, -770?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2494.5 + 2494. What is the third biggest value in 4, f, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1134, -1130, -1126, -1122?\n\"Answer: 4*j - 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330358158.\nAnswer: 2, 139, 1777, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 246, -0.4, -1\/5, -4?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75446, 150906, 226382, 301880, 377406, 452966?\nAnswer: 528566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 1 d when three letters picked without replacement from odrorooddnr.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -81*t**2 + 24641*t + 8442. Let w(z) = 58*z**2 - 16427*z - 5627. Let m(o) = -5*l(o) - 7*w(o). Differentiate m(u) with respect to u.\nAnswer: -2*u - 8216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192.3 - -218. Let v = k - 18. What is v rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z**2*z)\/z)\/z)**(-11)\/((z\/(z\/(z\/z**(-1))))\/(z**(-2\/3)\/z)) assuming z is positive.\nAnswer: z**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/12*a**4 - 3*a**2 + 0 + 2\/3*a**3 + 0*a. Let v be l(4). Is v less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - u - u)*(-1 - 4 + 2)*(-9 + 9 - 26*u) to the form r*u**2 + x*u + z and give r.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeqqeeeqeqee. What is prob of picking 2 q?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4136222 (base 7) to base 14\nAnswer: cd082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 7*w + 23736 = 0. What are the prime factors of w?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*c + 57*c + 29*c + 123*c as k + b*c and give b.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 383\/171, -1, -0.05?\nAnswer: 383\/171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.095601 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -4537\nAnswer: -1814.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01453972779 to 4 decimal places.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 92*l + 577 + 629 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1024622.772 and 5.\nAnswer: 1024627.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94595 - 94593. What is a in 968\/3 + 88\/3*a + 2\/3*a**n = 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (10*(-11)\/(-330))\/(1\/12147) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1541*h**4 + 186*h**2 + 1 wrt h?\nAnswer: 36984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16188 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -104*k + 6623. Let o(g) = 19*g - 1324. What is 2*h(z) + 11*o(z)?\nAnswer: z - 1318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.06306 (b) 199 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-184)\/(-160))\/((-16)\/(-10))*-4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*(-153)\/85\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 191 in -2, -951\/5, 4, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:13 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/43 + 259\/774. Let x(a) be the second derivative of 0*a**4 - a - 1\/60*a**5 + b*a**3 + 0*a**2 + 0. Factor x(i).\nAnswer: -i*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 22. Let h be u(2). What is the highest common divisor of h and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -2*x - 34*p - 113, -7*p - 27 = 2*p for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 324\/11 - 11142\/385. Let n(t) be the first derivative of -r*t**5 + 0*t - 4\/21*t**6 - 3\/7*t**4 - 2\/21*t**3 + 4 + 0*t**2. What is z in n(z) = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**3 - 9*n + 9. Let p(s) be the first derivative of 3*s**4\/2 - 5*s**2\/2 + 5*s + 5. What is 7*p(x) - 4*t(x)?\nAnswer: -2*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15125*h**2 - 2287560*h + 432473616\/5.\nAnswer: (275*h - 20796)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = -10*n - 71. What is the highest common divisor of 780 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001243364352 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-110)\/(-3135)*3*12\/1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173499 is divided by 90269.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202\/3 + 68. What is the nearest to 0 in -2\/15, h, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*k + 2 = 727*k - 359*k - 5*q, -24 = -3*k - 3*q for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 5. Let w(m) = -931*m + 11. Calculate 2*a(p) - w(p).\nAnswer: 929*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + m + 19 = -3*s, -13 = 5*s + m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*c**3*g*l + 2*c**3*l**2 + 2*c*l**2 + 30*c - 5*g*l**2 - l wrt c.\nAnswer: 1446*c*g*l + 12*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxs when four letters picked without replacement from {x: 2, s: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76732, 76709, 76686, 76663, 76640, 76617?\n\"Answer: -23*y + 76755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**2 - 17*x - 2. Let v(n) = n**3 - 1 - 6*n - 3*n**2 + 5 + 5 - 7. Let s be v(4). Let r(k) = 5*k**2 - 8*k - 1. What is s*j(o) + 13*r(o)?\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4, 1.5, 1\/3, 0.11, 53, 158\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 + 3*q + 1. Give v(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*z + 127*z - 21*z + 42*z.\nAnswer: 256*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328 + 327. Let h = -570\/7 - -81. Which is the nearest to g? (a) h (b) 2\/19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1884874, -3769741, -5654594, -7539427, -9424234, -11309009, -13193746, -15078439?\n\"Answer: w**3 + w**2 - 1884877*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 177.049862.\nAnswer: 177.049862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 6*p**3 + 4*p**3)*(2*p + 47 + 4*p - 49)*(2 + 1 + 6 + (1 + 0 - 3)*(3 - 6 + 1)) + (-2 + p + 2)*(-2 - 2*p**3 + 2).\nAnswer: 76*p**4 - 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20504 * 0.932.\nAnswer: 19109.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqffffdddffffffff. What is prob of sequence fddd?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.1 (b) -1\/4 (c) -3\/4 (d) -36\/11 (e) -18.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 7906220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 47*o**2 + 41*o - 215. What is the remainder when y(23) is divided by 59?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 60.025536 minutes?\nAnswer: 0.0416844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2940573.\nAnswer: 3, 19, 23, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(91)*-1*3)\/(sqrt(77)\/(2*sqrt(11))) + (sqrt(13) + 3*sqrt(78)\/sqrt(6) - (-1 + sqrt(1872))))**2 + -2.\nAnswer: -28*sqrt(13) + 2547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111204\/349 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 times 20732?\nAnswer: 27138188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003301 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 - 2*n**2 + n**2)*(-2 - 1 + 5)*(0 - 2 + 0) - 2 + 2 + 2*n**2 + (-2 + 3 - 3)*(2*n**2 + 0*n + 0*n) to g + h*n**2 + x*n and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(16) - (sqrt(784) - 4*sqrt(784)))\/(sqrt(800)*2)*3.\nAnswer: 33*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289008187?\nAnswer: 13, 89, 439, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -5 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -597, -2, 2, -5 in descending order.\nAnswer: 2, -2, -4, -5, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.3. Let t = -1\/67 - 263\/335. Which is the nearest to 1\/2? (a) p (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h - 70. Let g be v(-11). Suppose 29 = 3*c + 5*n, -3*c + n + 20 = -3*n. Is g <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800770?\nAnswer: 2, 5, 80077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6107?\nAnswer: 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11366847?\nAnswer: 3, 109, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 14. Find the common denominator of 111\/20 and (f\/(-4))\/(168\/304).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -1)*1\/1. Let t(g) be the first derivative of -g**4\/4 + g**3 + 4*g + 35. Calculate t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**7\/45 - t**6\/20 - t**5\/45 + t**2 - 2*t - 84. Let f(o) be the second derivative of z(o). Find p such that f(p) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41647\/20 + -2084. Calculate the common denominator of t and 67\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2. Let r be (3\/1 - -2)*(-6 + 9). Let t(b) = r - 2*b**2 - 5*b**2 + 6*b**2. Determine q(t(z)).\nAnswer: -z**4 + 30*z**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Let v = 22 + -19. Suppose 5*t = -5*j + 10, 0*j + 5*t - 10 = -j. Solve v*m = -j*u - a*u + 13, -u = -m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67383373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4 = -2*g, 7*k = -4*g + 10*k + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8393\/800 - 7\/800. Find the common denominator of p and 95\/926.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26694.4063 - -26693. Let s = 29.4743 + d. Let g = 28 - s. What is g rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -981 = 4*h - 641. Which is the closest to 1? (a) 1\/4 (b) h (c) 7 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.5, 57, 3\/2, 5, -5, -122?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10039 + 10037.7785. Round y to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 5*g + 1. Suppose -d = -5*d + 16. Suppose -u + 20 = d*u. What is the units digit of o(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r + 1. Let q(d) = d**3 + 7*d**2 + 5*d - 7. Let k be q(-6). Let h be 1 - 2 - (-2)\/k. Let p be a(h). Round p to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus 11437815?\nAnswer: 11437828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 - 52*v**4 - 5546*v**3 + 17212*v**2 + 22704*v = 0?\nAnswer: -43, -1, 0, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (27 + (10 - 41)) - -4 - -63.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/3 - 18284*f**2\/15 - 368912*f\/15 - 28928\/3 = 0.\nAnswer: -1808, -20, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -95*g**3 + 1 + 3*g**2 - 3*g + 17*g**3 - 6*g**2. Let h(y) = 33*y - 2014. Let f be h(61). Is k(f) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7876 + 7878. Let 2\/17*g**4 + 0 + 10\/17*g**s - 4\/17*g - 8\/17*g**3 = 0. What is g?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 24) + (23 - -1) + (-2 - -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-10)*5\/12. Let k = -21 + 20. What is the third biggest value in 4, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:42 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) 0.4 (c) 10 (d) -66 (e) 1 (f) 231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 57 = -68. Let f = 5.8 + -6. Which is the third biggest value? (a) f (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4 = 5*r. Let t be (65\/(-39))\/(r\/(-36)). Suppose 0 = -b - 3*b + 16. Solve 3*o + 2*o = -5*p - t, -2*o + b = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 0 + 6. Let h be (1 + 3)*z - 2. Solve 5*n + 3 = h*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 - 4564*s**2\/3 - s\/3 + 4564\/3.\nAnswer: (s - 4564)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 - -9.2. Which is the fourth smallest value? (a) w (b) -4 (c) 3\/4 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27844 divided by -6437.\nAnswer: -27844\/6437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - f + f + 0. Let o be u(-4). Suppose -o*z + 63 = -1. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.234 + 29672299444.\nAnswer: 29672299444.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18))\/(1*13\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2128.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001768642 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-10 - 9) - -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -183. Let i = h + 51. Let a = i + 55\/2. Put a, -0.3, -3 in ascending order.\nAnswer: -3, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 1. Let r be g(-1). Let v = 3 + r. Suppose -2*u + v*u - 512 = -4*p, -2*u + 5*p = -326. Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 20*v**3 + 17*v**3 + 3*v**3.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**7\/525 + v**6\/300 - v**5\/50 - v**4\/12 - 2*v**3\/15 + 16*v**2. Find i, given that t(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((-9)\/3 + 2). Suppose -2*w + h = -4 + 3, 0 = -5*w + 3*h + b. Factor w*l**3 + 3*l**2 - 20*l + 22*l - l**3.\nAnswer: l*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 984880 and 936.\nAnswer: 8863920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -8. Suppose -4*k + 3*q = -0*q - 3, 0 = h*k + 2*q - 12. Let n be 1 + (1 - 0 - -1). Is k bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18520591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/10 + 2*m**3 + 9*m. Find the second derivative of w(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**5*g + 287*f**3 - 20*f**2*g + 123*f*g + f + 77*g - 2 wrt f.\nAnswer: 100*f**3*g + 1722*f - 40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 17 - 2. Suppose -p + 15 = 2*y, p - 4*y = -y - j. Suppose 8*t = 1280 - 888. Calculate the highest common divisor of t and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (1 + 5)) + (0 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 16*p - 8. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**5 + 39*n**4\/8 - 49*n**3\/6 + 6*n**2 - 2*n + 12. What is t in c(t) = 0?\nAnswer: 2\/5, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2022 = 491*t - 493*t. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 2*h - h + 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*c**3*t**2 + 9*c**3*t + 4*c*t - 2*t**4 wrt t.\nAnswer: -92*c**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2482*l + 36. Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 25*q - 71*q + 18*q + 21*q to i*q + v and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7877789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/17)*r**(3\/7))\/(r**6\/(r*r\/(r*r*r*r\/((r*r**17*r*r)\/r)))) assuming r is positive.\nAnswer: r**(1465\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z + 422. Let x be y(35). Let n(m) be the second derivative of 0 + 0*m**x + 2*m - 1\/3*m**3 - 1\/2*m**4. Find the second derivative of n(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 + (-7 + -8 - -516) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Suppose 5*g = -3*r + 3 + 37, 0 = 3*g + 4*r - 24. Let j(y) be the first derivative of 10*y**3\/3 + y**2 + 2837. What is g*f(l) + j(l)?\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - z + 1. Let f(w) = -w**3 - 2*w**2 + 5*w - 10. Suppose 0 = -7*a + 3*a + 4. Let n(r) = a*f(r) + 4*d(r). Determine g, given that n(g) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2. Let x(l) = 514*l + 500*l + 9 + 508*l - 1506*l. Calculate p(x(u)).\nAnswer: -1024*u**2 - 1152*u - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4216, -8410, -12600, -16786, -20968, -25146, -29320?\nAnswer: -33490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztoooozotoool. Give prob of picking 1 l and 2 t.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, -22\/5, 5\/27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 68*h**3 - 14*h + 23*h + 2*h**3 - 5*h**3.\nAnswer: 65*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v + 4535 = -57*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/16 and 3 + (-2 - 3) - 255\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22505286 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26408.43um in meters?\nAnswer: 0.02640843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 3, n: 1}. Give prob of sequence lnr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*n + 146, -4*k = -k + 2*n - 430. What is the tens digit of ((-2268)\/k)\/((-1)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 117?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184589477 to the power of 1\/2, to the nearest integer?\nAnswer: 64688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {z: 4, d: 3, b: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + y - 4*y - 6, -3*y + 12 = 0. Suppose x + 4*n = -6, 2*x - x = 5*n + 30. Let a = x - t. Solve 3*k + 5*m = -6 + 17, a*k - 11 = -3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -260 and 0.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*p**5 + 4 + 138*p**3 - 138*p**3 + (p**5 + 0 + 0)*(0 + 1 + 0).\nAnswer: -13*p**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 37 = 5*g, 0 = t - 5*g - 11 - 20. Suppose 2*z - t = q - 2*q, 0 = 5*q. Factor -4*b**z - 12*b + 12*b - 8*b**2.\nAnswer: -4*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2904590 or 5?\nAnswer: -2904590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17128, 17127, 17126, 17125, 17124, 17123?\n\"Answer: -r + 17129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3367.47 millilitres?\nAnswer: 3.36747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 4. Let f be g(-7). Let i be (0 - (4 + f))\/1. Let j be 10*((-2 - i) + -9999). Round j to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (2 + -2 + 7). Suppose 0 = 33*u - 31*u + 14. Sort 4, u, l in decreasing order.\nAnswer: 4, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4936081.\nAnswer: 5\/4936081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -145, 3, -5, 0 in ascending order.\nAnswer: -145, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73985*a = 73823*a - 9720 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1635)\/(-218)*(-4)\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 24090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(5\/2)\/a)*a**(-7))**(-21\/8)\/(a**(-1\/3)\/a**(-5))**40 assuming a is positive.\nAnswer: a**(-8015\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70480259.\nAnswer: 73, 965483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k. Suppose 2*y = 3*r + 24, 2*y - 3*r = -6*r. Suppose 0 = 2*a + y - 4. Let c(j) = -2*j + 2 + 5*j - 2*j**2 + 0*j**2. Calculate a*c(t) + 3*g(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4100*f + 6. Let q be p(-3). Is q\/12 - -3 - (-3)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*c**4*y**3 + c**4*y**2 - c*y**3 - c*y wrt c?\nAnswer: 276*c**2*y**3 + 12*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t + 75. Let h be u(6). Sort h, 2, -4\/7 in decreasing order.\nAnswer: h, 2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(68) + (-2*sqrt(68) + sqrt(68))*-2)\/(sqrt(400) - sqrt(400)*3 - sqrt(400)) + 0)**2.\nAnswer: -sqrt(17)\/5 + 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -434 (b) 0.4 (c) -3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 8*f - 7. Let a = -32 + 27. Let i be x(a). What is the units digit of (-1114)\/(-8) - ((-46)\/i - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 26.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 75. Let x = l + 52. Suppose x = o - 13. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 50. Suppose 3*g - 1346 = -2*i, -i + 3*i = l*g - 2270. What are the prime factors of g?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23913*z**2 - 382593*z - 240 = 0 for z.\nAnswer: -5\/7971, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2299, -112, 3, 5 in decreasing order.\nAnswer: 2299, 5, 3, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -334*z - 2334. Let y be p(-7). Let d(o) = -2. Let a(h) = -h - 3. Determine y*d(u) - 3*a(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*f - 349*f - 185*f.\nAnswer: -753*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 5, f: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231 + -226. Let x(h) = 2 + 5*h + j*h - 4*h + 1 - 3*h. Calculate x(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -37*r**2. Let n be -17*(4 + 700\/(-170)). Let u(a) = 5*a**n + 186917*a - 186917*a. Give u(j(q)).\nAnswer: 6845*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h. Let y(m) = 45*m**2 - 41*m**2 - 8 - 11 - 8 + 25. What is f(y(p))?\nAnswer: 84*p**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 7, 0.04, 0.1, 18.7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dszs. What is prob of picking 1 s, 1 d, and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 5*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 3*x**3 + 17 + x - 42 - 4*x**3 in the form t*x + s + h*x**3 + u*x**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/1027 - -74955\/4108. Let i = -1\/85 - 82\/255. Calculate the common denominator of j and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*w**3 - 15*w**3 - 6*w**3)*(1 + 2 - 4)*(1 - 1 + w).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 105.53. Let a = -0.03 - i. What is the nearest to -1 in -4\/7, -1\/5, a?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 259273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/17, -0.1, -3\/7, 6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33239 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101088024*g**2*k**3 + 200*g + 190834*k**3 wrt g?\nAnswer: 202176048*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*p + 28 = 0, -10*p = x - 11*p + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 9*d + 1 + d**2 - 10*d**4 + 0*d**2 + 10*d in the form s*d**4 + z*d**3 + n*d**2 + f*d + p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(-13 - 63 + 26)*(-2*y - 1 + 1)*((-3 + 1 + 1)*(-2 + 3 - 2) - 2 + 3 + 1).\nAnswer: -1200*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 130\/103553 and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3434011 + 331224?\nAnswer: -3102232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1333 + -2?\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 2*t - 13. Let s be h(5). Suppose 2*q = 4*c - 14, 7*c - 3*c - 17 = 5*q. Let f(y) = -6*y - 11. Let m be f(-6). Solve -c*z - s*z = m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 4, h: 2, x: 1, q: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 94. Let o(f) = -5*f - 94. Give 4*n(p) - 3*o(p).\nAnswer: -p - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/18)\/((-284)\/213).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 26*m**2 + 43*m + 31. What is the hundreds digit of q(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**2. Let x(p) = -4 + 10 - 4 + 0. Let d(l) = -l + 1. Let h(b) = -2*d(b) + x(b). Calculate h(f(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-1\/4)*z\/z**(2\/11)*(z**(2\/3)\/z)\/(z\/(z*z**(5\/3))) assuming z is positive.\nAnswer: z**(383\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*b + 3087*b**3 + 17 + 3090*b**3 - 6176*b**3 as v + o*b**2 + s*b + h*b**3 and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 182987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5574.\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**12)**(-2\/3))**(-17) assuming o is positive.\nAnswer: o**(-374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0*(28\/8 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 141 - 135 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*u - 64, 3*u + u = 2*j - 32. Suppose -5*v - 110 = -2*b, 8 = -3*v + 2. Let k = 90 - b. Calculate the highest common factor of j and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.032 - -1.118. Let f = o - 3.15. Which is greater: f or -147?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3 + 51*a**2\/2 + 90*a - 1251. Solve l(m) = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from jggsjjjjjgg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 19*s - 7. Determine v(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -4*p**7 - 37*p**4\/4 - 5*p**3\/3 - 24*p + 28. What is the third derivative of u(l) wrt l?\nAnswer: -10080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 52*d - 246 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*f + 0*f - 275 = 0, -m = 4*f - 105. Let x = m - 85. Suppose -i + 2*i = -3*w + 297, x = 2*w - 3*i - 198. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200974 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 440465. Let t = 9907 + i. What is t rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 997297 to the nearest one thousand.\nAnswer: 997000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15588 = 4*t + 3*l, -8*t + 2*l = -9*t + 3892. What is the highest common factor of t and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255818.\nAnswer: 2, 37, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1357791300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 5, -27, -0.3, -17\/5, -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t + 3. Let h(r) = -r - 1. Let p be (2\/(-8))\/(4\/(-48)). Determine p*h(z) + v(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -492 - -496. Suppose 4*t - 3*f - 6 = 0, 3*f = -3*t + f - 4. Solve -g*h + t = -12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 59 (b) -3 (c) 12 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = 2*l, 3*l - 4 = -5*f - 2. Let u = l - 6. Suppose -3*j = -7*j + 4. What is the closest to 0 in j, u, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 424 + 659*z - 659*z.\nAnswer: -z**2 + 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -302, 4, 63 in descending order.\nAnswer: 63, 52, 4, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-25 - (-54 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9740173767 rounded to four dps?\nAnswer: -0.974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4084\/319933 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 2. Let o be w(-1). Let j(m) = 3*m + 11. Let v(z) = z + 1. Let b(p) = o*j(p) + 2*v(p). Let y be b(-7). Put -4, y, -1 in descending order.\nAnswer: -1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652155 (base 7) to base 4.\nAnswer: -123233112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1 - (-30)\/10. Let b(g) = g**3 - 7*g**2 - 5*g + 5. Let z be b(r). Let o = z - -83. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 4, u: 2, o: 2, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654879021 to the power of 1\/2, to the nearest integer?\nAnswer: 51526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2055*b - 8*b**2 - 1005*b - 1050*b.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 96*x + 1197\/2.\nAnswer: 3*(x + 7)*(x + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 19 = -9. Let s be (0 - o) + -34 + 31. Suppose 13 = 3*m + 4. Solve d = -3*g + 4*d + m, 1 = -5*g + s*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4719) - (-2*sqrt(4719) - sqrt(4719))*6 - sqrt(4719) - 1*sqrt(4719)*2)\/((sqrt(9)*3)\/sqrt(3)*-5*3).\nAnswer: -176*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5266 + 8073. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/((-2)\/4). Let d be (-9)\/(-15) + (-6683)\/t. Calculate the remainder when (-1)\/((-660)\/d + (-3)\/6) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**8\/20160 + i**7\/3780 - i**6\/2160 - i**4\/8 - 2*i**2. Let u(x) be the second derivative of r(x). Factor u(m).\nAnswer: -m*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*y = 239*y + 45. Let u(k) = k**3 + 13*k**2 - 5*k - 63. Let r be u(-13). Factor 20\/3*z**r - 8*z + 0 - 4\/3*z**y.\nAnswer: -4*z*(z - 3)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-9) - (-9 - -9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 times -0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136454*a*y - 4371*a - 12 wrt y?\nAnswer: 136454*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -797bba - -c?\nAnswer: -797bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749 - 1369*o + o**3 + 2730*o + 2*o**3 - 1361*o.\nAnswer: 3*o**3 - 749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/10 + 9*a**4\/14 + 11*a**3\/7 + 13*a**2\/7 + 746*a + 1. Factor l(p).\nAnswer: 2*(p + 1)**2*(7*p + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/(q\/q**(-26)) assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -48*c**2 - 3*c. Let p(m) = m. Calculate p(v(s)).\nAnswer: -48*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from yyfffyyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = 3*s, 4*s + 10 = -0*s - 5*m. Let d = 0.2 - -3.8. What is the third smallest value in 0.4, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 30, 49, 68, 87?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**3 + 3*m**2 + 4*m - 15. Suppose 77*g - 55 = 88*g. Is i(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -446 in 0.22, 1.7, 1\/18, 0.2?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -21. Suppose 0 = -t + m - 14. Let x(r) = 3*r - r**3 + 22*r**2 + 1 - 42*r**2 + 14*r**2. Calculate x(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((36 - 28) + -7) - -95.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957714 divided by 1178.\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 243366\nAnswer: -243365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 66340 and 65397 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 40. Let j be a(7). Determine q, given that 2*q + 23*q**2 - 4*q - q**3 - 20*q**j = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5943661943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 3*c + 4. Determine s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 67 = 43. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48560676?\nAnswer: 2, 3, 4046723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1676 and -1669 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:57 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*h**3 + 12*h**3 - 10*h**3 + 95*h**2 - 572*h**2 + 2092 wrt h.\nAnswer: 6*h**2 - 954*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712817.6l to millilitres.\nAnswer: 712817600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 34, 84, 152, 244?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k + 370 = -96*k - 7*k. Let j = 61 + -52. Which is the nearest to 0.2? (a) -1\/3 (b) 0.1 (c) k (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 33*x**2 - 37*x**2 - 14*x - 40. Let k be d(-5). Solve 5*q - 5 = -9*n + 4*n, -n = 3*q - k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 190*v + 596. Let j be w(-98). Solve -13 = j*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101100010011 (base 2) to base 6\nAnswer: -21043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)*m*(m*m**(5\/13))\/m assuming m is positive.\nAnswer: m**(-216\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 0. Let i = 22.5701 - 22.9701. Which is the biggest value? (a) z (b) i (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -563*b**5*h - 798*b**5 + 22965940*b*h wrt b?\nAnswer: -11260*b**3*h - 15960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93\/7 + 96\/7. Let m = 1 - 8. Let p be (-4)\/(-6)*((-39)\/(-12) - 1). What is the third smallest value in p, m, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 + 961\/3. Calculate the common denominator of 143\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let t(b) = -3*b - 1. Let s be (2\/(-4))\/(1\/4). Let r(w) = w + 1. Let c(i) = s*r(i) - 2*t(i). What is c(y(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5\/c)**(-3\/31)*(c**13\/c)**(-6\/19) assuming c is positive.\nAnswer: c**(-2517\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d - 70. What is w(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*u**4 - 68*u**4 + 56*u**4 + (-3*u**3 - 3*u**3 + 4*u**3)*(u + 0*u + u) - 3*u**4 + 0*u**4 + u**4 - 2*u.\nAnswer: 74*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-15\/8)))\/l*l*l**(4\/13)*(l*l\/l**24)\/((l*l**(2\/53)*l)\/l) assuming l is positive.\nAnswer: l**(-130111\/5512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z**2. Let l(x) = 6*x**2 + 12*x + 4. Let i(s) = -17*s**2 - 33*s - 11. Let q(j) = -4*i(j) - 11*l(j). What is n(q(k))?\nAnswer: 80*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -19*g + 78. Let f be d(4). Solve -7*w + 5*w - f*s = -2, 0 = -2*w + s - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:43 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -514502 - -222?\nAnswer: -514240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6416 and 79799.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/20*10\/(-3) + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1946+-0.068\nAnswer: -1946.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.3388mm in kilometers?\nAnswer: 0.0002713388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*z + 43 + 4 = 0, 4*z = -a + 4. Suppose 0*u - 4*u + a = 0. Suppose -u = 4*b - 2*r, -3*r + 28 = 3*b + 2*r. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 74 = p + 28, 0 = -5*d - 10. Suppose 4*m - 188 = p. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -361\/12. Let q(h) be the second derivative of 0 + h + 0*h**2 + 0*h**3 + j*h**4 + 1\/10*h**5. What is the third derivative of q(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/4 + 5*c**3\/3 - c**2 - 4*c + 55. Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 0 - (73 + -59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 4.7167?\nAnswer: -4.7167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 964163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g = 48*g + 100 - 2322 + 330 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**3*u + 5*k**3 + 20*k*u**3 - 28*k + 3*u wrt u?\nAnswer: -k**3 + 60*k*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29564154 divided by 36.\nAnswer: -1642453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138731 is divided by 35584.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 776815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57549?\nAnswer: 3, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000374871 to six decimal places.\nAnswer: -0.000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 742?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149\/20 + 56\/5. Calculate the common denominator of -31\/28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -35*m**3 - 4*m**2 + 39*m + 86. Give b(-2).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98360269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25194443 is divided by 1829?\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207\/(-1242)*99\/6?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 22*u**2. Let z be k(-22). Suppose z = -s + 26 + 26. What is the greatest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 + 9*f**2 - 4*f + 4. Let g(q) = 2*q**3 - 8*q**2 + 3*q - 3. Suppose -5*l = -8*l + 42. Suppose 26 - l = -4*b. What is b*d(o) - 4*g(o)?\nAnswer: o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 15*q - 57. Let f be c(5). Let k be ((-660)\/f)\/(12\/(-88200)). Round k to the nearest ten thousand.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(143)*2 + sqrt(143))*-2)\/(sqrt(11) + (sqrt(1584) - sqrt(1584)*1 - sqrt(1584)) - sqrt(110)\/(sqrt(250) + sqrt(10))))**2.\nAnswer: 91728\/4489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0)*(-2)\/10. Let s = 7 - -2. Let h = s - 10. Which is the closest to -1\/3? (a) h (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17350, -17338, -17312, -17266, -17194?\n\"Answer: u**3 + u**2 + 2*u - 17354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k - 19. Let w(b) = 5*b**2 - b + 1. Let g be w(1). Let l(h) = -9*h + 21. Let y(o) = g*n(o) + 6*l(o). Find the first derivative of y(m) wrt m.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61\/8 + 65\/8. Which is the biggest value? (a) d (b) -6\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:18 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z**4 + 0*z - 14 + 4\/3*z**3 + 0*z**6 + z**7 + 0*z**2 + 0*z**5. What is the third derivative of r(i) wrt i?\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -1.7. Let p = a + 0.5. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6289538\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4078 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + 19 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odz when three letters picked without replacement from gzoldzolgzggozgzg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759466151.\nAnswer: 759466151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 31. Let g(v) = -4*v**3 - 10*v**2 + 24*v - 14. Let p(i) = -i**3 - 2*i**2 + 5*i - 3. Give f*g(m) - 14*p(m).\nAnswer: 2*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19937\/15 - -1329. What is the nearest to 1 in o, -0.3, 0.2, -39?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4369113 millilitres?\nAnswer: 0.0004369113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 125*b**3 + 3760*b**2 + 7980*b.\nAnswer: -5*b*(b - 19)*(b + 2)*(b + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/15)\/(81\/(-135)). Is -4 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57865.3 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5)*2\/3. Let f = -40489 - -161989\/4. Find the common denominator of 10\/28*13 + n and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevvvpaavvab. Give prob of sequence aa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**2*x**2 - 120972079*t**2*x + 2*t**2 - 9932625*x**2 wrt x.\nAnswer: -30*t**2 - 19865250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d + 2*d**3 + (1 + 0 - 8)*(2*d**3 + 7*d**3 + 8*d**3).\nAnswer: -117*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -164, -175, -200, -245, -316, -419?\n\"Answer: -o**3 - o**2 - o - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123.92 + 151.6. Let l = -0.68 + p. Let a = l - 27.00000004. What is a rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 11)*(0 + 0 - 2*c)*(6*c - 4*c - 4*c) + (0*c + 2*c + 0*c)*(-c + 1 - 1) as m + o*c**2 + i*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.017, 0.5, 4\/3, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -4\/11, 0.052, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 7\/20*i**5 + 0*i**6 + 0*i**4 + 0*i + 0 + 19*i**2 + 3\/70*i**7 + 0*i**3. Find the third derivative of m(l) wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 2429 = -2*r, -5*b + 3*r = 7*r - 35 - 98 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t - 20*t + 8 + t. What is k(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 11540*x - 23075*x + 11540*x + (2*x**2 - 3*x + 3*x)*(3*x - 3*x - 2*x) + x**3 - 4*x**3 + 2*x**3.\nAnswer: -3*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**3 - 5*o + 5. Suppose 4*m - 7 = 3*m. Suppose m = -t + 2. Let b(f) = 33*f**3 + 21*f - 21. Calculate t*b(r) - 21*p(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 668 and 29176?\nAnswer: 4872392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 381058545*w**4 + 21757574?\nAnswer: 1524234180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/22036 and -17\/7764?\nAnswer: 42771876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/440 - (-3)\/5 - 6\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1405 = -4*u + 1330, -4*c + 2167 = -u. What are the prime factors of c?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4872 - 1345 + 38598*t**2 - 3*t**4 - 38602*t**2 - 22*t**3 with respect to t.\nAnswer: -12*t**3 - 66*t**2 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50, 58, 66, 74?\n\"Answer: 8*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 129*q + 2273. Give a(22).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92731524?\nAnswer: 2, 3, 2377, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/117479 and -73\/261.\nAnswer: 1057311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 6 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 168023270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42562293 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101001100110011 (base 2) to base 5.\nAnswer: 12311403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23153 (base 6) in base 11?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2960088 divided by 740022.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -27.6. Is s greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 5. Let k(f) = -f + 2. Let z(y) = -4*b(y) - 10*k(y). Let w(p) = -p**2. Give z(w(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9616?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 8*z**2 + 2*z - 10. What is y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-4 - -4) + -2 - 4) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - 19803\/(-189). Let v be 1\/(r\/27 - 0)*5. Which is the second smallest value? (a) v (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7481*h**2 - 15057*h**2 + 94365*h**2 + 109740*h**2.\nAnswer: 181567*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 5)\/(-1 + 2). Suppose -2*g = i - 1, -5 = g + 4*g - 5*i. Suppose g = b + b + 4. Sort b, n, 2 in decreasing order.\nAnswer: 2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1521 (base 6) to base 9\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1723389241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-3)\/12 + 67\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -62*r - 2044. Give o(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 39*t - 150. Calculate the least common multiple of 420 and g(-24).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/3, -9, 16.7, -0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8845, -17739, -26675, -35653, -44673, -53735?\n\"Answer: -21*x**2 - 8831*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(-16)*5\/((-350)\/(-28)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -64*d + 655 - 52 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 23*f - 3*f.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 2. Let h(n) = -2*n. Let x = 4 + -6. Let k(o) = x*t(o) + 4*h(o). Let z(b) = -2*b - 3. Give -2*k(l) + 3*z(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13346089.\nAnswer: 31, 53, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 i, and 1 r when four letters picked without replacement from sisrswwrrqiiwssxi?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85691 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 328 = 3*v - h, 5*v + 3*h - 544 = 0. Suppose 64 = -v*a + 112*a. Let g = -4 - -11. Solve a = 5*b + g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -136\/5. Let o = 0.01 - -0.99. Which is the nearest to o? (a) m (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48118971*b*j**6 + 15*b*j**2 - b*j + 2*b - 10*j**2 + 2*j - 4247 wrt j.\nAnswer: 5774276520*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -65205.\nAnswer: -65211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*o + 4*o. Suppose 8*c - o*c - 396 = 0. What is c rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 37*c + 106. Determine x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/36853 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10628138, 10628142, 10628146, 10628150, 10628154?\nAnswer: 10628158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, y: 2, k: 1, z: 4, u: 4, o: 2}. Give prob of picking 1 o, 1 y, 1 k, and 1 u.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20776936, 20776928, 20776910, 20776876, 20776820, 20776736, 20776618?\nAnswer: 20776460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0215 - -2.3915. Let g = q + -2.4. Is g <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.01 (c) -4920\/31 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + -5*66\/50?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9*34\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -14*a + 28. What is the second biggest value in a, 5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/(-16))\/(1\/2). Let d = -2 - p. What is the remainder when (0 + 12)\/((-2)\/(-3)) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - z + 56049 = 1163, p + 4*z - 13744 = 0. Is p a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yxxyx.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-3675)*-219 - 18\/(-36) and -61\/1715?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305509116 by 644534.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + (4 - 3) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 229. Calculate the least common multiple of z and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Sort u, -4, 5 in decreasing order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2\/3*r**3 - 75 - 4*r**2 - 4*r. What is the derivative of a(g) wrt g?\nAnswer: -4*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -1780*o**6\/3 + 1320*o**2 - 1782. Find the second derivative of p(v) wrt v.\nAnswer: -71200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-44))\/(-2) - 20222\/(-22) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8359 and 543335?\nAnswer: 543335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-2 - 10\/(-6)). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 707? (a) 0.2 (b) -616 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -116523 greater than or equal to -116422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369187?\nAnswer: 3, 67, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-45)*(-20)\/(-150)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 + 10*r + 4. Let v(f) = 8*f**2 + 11*f + 5. Let o(w) = 7*c(w) - 6*v(w). Let k be o(-4). Let s(b) = b**3 - b + 1. Determine s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 315152386?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 8. Let r be u(-5). Calculate the remainder when (4 - (r + 3))\/1 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-17) + 86 + -1*2. Let w(r) = 4*r**2 - r. Let s be w(1). Is 14 a factor of f - (0 + s - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -793912 divided by -28354\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*i + 82, -3*w = 2*i - 0*w - 54. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = l - 3*l. Let q = l + -16. Does 32 divide -8*(-6)\/q*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 149.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -15 - -17 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 49303010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.16 - -0.16. Let l = -252 + 256. What is the third biggest value in q, l, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -778.693 or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1482143 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3812*u - 24 + 4170*u + 25.\nAnswer: 7982*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-40))**(6\/13)\/((o\/(o\/(o*o\/(o\/(o*o\/(o**9*o*o)*o*o))*o)*o))\/((o\/(o**(-9)*o)*o)\/o)) assuming o is positive.\nAnswer: o**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 < -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -277757 and 0.4?\nAnswer: -111102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1416 = 75*n + 2045 - 1136 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.086 + -475.914. Let t = 476.000000949 + j. What is t rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdmm. Give prob of picking 1 m, 1 g, and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -254592 divided by 6\nAnswer: -42432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15123667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -818*d*g*l - 7*g*l - 2*g - 349*l wrt d.\nAnswer: -818*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g**2 + 203*g + 1. What is the remainder when y(7) is divided by 133?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61736, 61746, 61756, 61766, 61776?\nAnswer: 61786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -7.5. Let d = i + 0.6. Let q(l) = 45*l - 363. Let p be q(8). What is the nearest to 0 in 9, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 493764 + 1?\nAnswer: 493765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Suppose 4 + u = 2*n. Suppose d + 8 = 3*t - 1, n*t - 16 = 0. Solve 2*i = d*h - 19, -31 = 5*i - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -26*l. Let t(o) = 3*o - 6*o - 2*o + 5*o + o. Calculate w(t(h)).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/5 - 1 - (-7796)\/10. Suppose -q = -5*u - 270. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/16 and 29\/244.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7602007)\/(-21) + 2\/6*-1. Round t to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.2 - -1.9. Let b = 5.3042 + q. Round b to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4, 5*t + 177 = -g - 3*g. Put t, 6, 5 in increasing order.\nAnswer: t, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 2*y + 6*y + 2*y + 3*y - 6*y + (y + 5*y - 4*y)*(2 - 1 - 3) - 5*y + 2*y + y + 1 - 1 - y - 12*y + 0*y - 6*y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -130. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 92. Let v = -14 - q. Let w = 10 - v. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83047, -332179, -747397, -1328701?\n\"Answer: -83043*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00792680669 to four dps.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 27*q - 1. Calculate the remainder when 21 is divided by u(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(12\/33))\/(3\/12). Let m(q) = 539096*q - 56. Let i be m(v). What is i rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51658 and -57.41.\nAnswer: 2965685.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405) + (-1 + sqrt(405))*5 + (sqrt(405) + 0 + -4 - 1*(sqrt(405) + 1 - sqrt(405))))**2.\nAnswer: -1638*sqrt(5) + 20014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3302034 (base 6) to base 11\nAnswer: 102034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 316399073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/6 - 3*c**2 - c. Let s be d(0). Is 4005\/6*s\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + 3 + -1*(sqrt(637) + -1 + -3) + -4)**2.\nAnswer: -14*sqrt(13) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -978 + 3160. Let g = 2843 - 2602. Suppose -3*f = g - c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from aggddkgkkakakdkagkid?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3246964 + -3246963.89700345. Let m = 0.103 - d. Round m to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/3)\/k)\/(k**(-25)*k))\/(k\/(k\/k**(2\/11)*k))**34)**(2\/55) assuming k is positive.\nAnswer: k**(3376\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4\/5, -5.\nAnswer: -6, -5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -16. Let z(k) = -13*k**t + 0*k - k**3 + 0*k + 9 + 1. What is the remainder when z(-13) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:08 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 divided by 2?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 + 106.2. Is p > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52719, -52375, -52029, -51681, -51331, -50979?\nAnswer: -50625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -53, -79, -105, -131?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1291051, 1291056, 1291071, 1291102, 1291155, 1291236, 1291351?\n\"Answer: n**3 - n**2 + n + 1291050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.041?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -268569*p + 268610*p + 1763 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715 + 596 = -17*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**4 - l**4 + 0*l**4 + (-l - l + 4*l)*(-2*l - 2*l + 6*l)*(1 - l**2 - 1).\nAnswer: -17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8 plus 4446916.2?\nAnswer: 4446937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2 - 2000725*g - 2000720 = 0.\nAnswer: -400144, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1055*o - 4. Let m(a) = -1687994*a + 6402. Let p(z) = -2*m(z) - 3201*v(z). Let g(h) = -h**2. Give g(p(l)).\nAnswer: -1138489*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwrrwwwwrwwww.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y + 4*i - 7 = 0, -5*y = -i - 35. Suppose y*k = 6*k + 3. Suppose l**3 - 2*l - l**k + 4*l**2 - 2*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 14. Determine v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 34342*h - 171639. Determine o(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57481 is divided by 429?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140 or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4102818 by -9.\nAnswer: 1367606\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.03, 0.01, -1.94?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88.94245ug?\nAnswer: 0.00008894245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38297881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -46265613 at least -46265607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27586 and 49387?\nAnswer: 104799214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1128 and 846?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f8 + 1277?\nAnswer: 186f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 13*b**2 + 3*b - 22. What is the units digit of o(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105751.51 to the nearest 1000.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 4. Let v(a) = a**3 + 4*a**2 + 2*a. Let q be v(-2). Let b be -2*(-1 + (-6)\/q). Calculate o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 + 128 + 1908*q**2 - 533*q**2.\nAnswer: 1375*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24714*s**5 + 0*s**2 - 153*s**3 - 2*s**2 - 6754*s - 24716*s**5 wrt s?\nAnswer: -40*s**3 - 918*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose p*q = 6*q - 4. Suppose q*j - 6*j = -4. Solve -x - k = j*k + 4, 5 = 4*x + 5*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 6. What is the units digit of j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724478297.\nAnswer: 3547, 204251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31357 rounded to 2 dps?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f)\/((f\/f**(-18))\/f) assuming f is positive.\nAnswer: f**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + -1.28. Let b = s + 0.16. What is the nearest to b in 0.4, -1\/4, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4929153462 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 16. Solve 3*c - 3 = -i*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -796, -814, -874, -994?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 116*r**2 - 98*r + 914. What is d(-57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:12 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 152, 425, 920, 1703, 2840, 4397, 6440?\nAnswer: 9035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/((-6)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 92480611\nAnswer: 5548836.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 0*y - y + 111 - 120. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10349381, -10349375, -10349365, -10349351?\nAnswer: -10349333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*l + 1554 + 111 = -3112 + 927 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1020, 2016, 2984, 3924, 4836?\nAnswer: 5720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26472 - 26464. Let o(u) be the first derivative of 3 - 4\/3*u**3 - 12*u + f*u**2. Let o(z) = 0. Calculate z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + 51652166?\nAnswer: 51652223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42, -37, -32, -27?\n\"Answer: 5*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14230750 (base 8) in base 4?\nAnswer: -30103013220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/3 + 256*w**2\/3 + 952*w + 2784 = 0.\nAnswer: -116, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.43 < -2\/1221923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 30*r - 49. Let z(h) = -7*h**2 - 86*h - 141. Let f(w) = 17*y(w) - 6*z(w). Let j(l) = -17*l**2 - 13*l - 26. Determine -13*f(b) - 6*j(b).\nAnswer: -2*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*5*(2*sqrt(475)*6)**2)*-6 + 4.\nAnswer: 6155974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/126)\/((7\/(-14))\/(1\/1)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**12)**3\/(m**(-17))**(1\/40) assuming m is positive.\nAnswer: m**(1577\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - 7) + 3 - (6 + -22)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-1 - (-8)\/7). Let z be (-2)\/(-3)*(-83)\/2. Let j = p + z. What is the biggest value in j, 2\/11, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppyiiipi. What is prob of picking 1 i and 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 3736.\nAnswer: 33624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {u: 2, h: 4, k: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4358, -4306, -4254?\n\"Answer: 52*z - 4410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -1137082188420?\nAnswer: 1137082188419.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4402445 (base 6) to base 5\nAnswer: 23441313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 7*j**2 - 13*j + 14. Calculate u(-7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, -1\/2, -2\/9, -1\/4 in descending order.\nAnswer: 0.5, 0, -2\/9, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/3 + 16*j + 215\/3 = 0?\nAnswer: -43, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/6*(-4)\/42?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - -8. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5205*p**2 - 3*p**3 - 1 - 4 - 5201*p**2 + (5*p**2 - 3*p**2 + 2*p**2)*(p - p - p) - 3*p**3 - 2*p**3 + 2*p**3 as t + f*p**2 + n*p + v*p**3 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1\/3, 42, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o - 12*o**2 + 12*o**2 - 14*o**2 - 8*o**2 - 44*o + 27*o.\nAnswer: -22*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8160900 = -160900. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/(((-28)\/(-70))\/1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 15*z**2 + 12*z - 3. Let d be s(-1). Let i(b) = b + 7. Let p(l) = 3. Let o(c) = -5. Let v(u) = 4*o(u) + 7*p(u). Determine d*i(k) + 14*v(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 70.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**4 - 4*m**5 - 28*m**2 + 12*m**3 - 4*m - 4*m - 4*m**3 - 44*m**3.\nAnswer: -4*m*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10. Let m be -2 - (s + -1 + 1). Is 12 a factor of (10\/3*-15)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40147490 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00222 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*5\/(-10))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 7*s + 4. Let m(d) = 2*d**2 - 7*d - 3. Let h(f) = -4*m(f) - 3*o(f). Find the second derivative of h(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/100)\/((-4)\/50). Solve 0 = z*h + 17 - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116712 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)\/(3 + -1). Let i(r) = r**2 + 9*r + 9. Suppose 4*x - 5*m + 2*m = -23, 0 = 5*x + 4*m + 52. Let g be i(x). Put k, 4, g in decreasing order.\nAnswer: 4, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/66)\/(240*73\/12045)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + (-2 - -3). Suppose -3*a - 5 = -b - a, 2*a = q*b - 20. Let c(l) = 3*l**2 + 6*l - 2. What is the remainder when c(-5) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -388 - -397. Calculate the lowest common multiple of 104 and z.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4 + 2*sqrt(637) + 5 - ((sqrt(637) + -1*sqrt(637))*-1 - sqrt(637) - (sqrt(637) + 0)*-1)) + -3 + -1)**2.\nAnswer: -84*sqrt(13) + 2557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637 is divided by 868.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 1 + 1 + (2*r + 3*r - 7*r)*(4*r - 5*r + 2*r) - 1165*r**2 - 2250*r**2 + 1081*r**2.\nAnswer: -2339*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3043*s**2 + 8956*s**2 - 3014*s**2 - 2900*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 53*x**3 + 29*x**2 - 4*x - 4. Let p be b(3). Let z = p + -1674. Suppose 3*w - 6 = 6. Solve 5*s - q = 6*s - z, -w*q = -20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 401*s*y**2 + s + 52*y**2 + 5168 wrt y.\nAnswer: 802*s*y + 104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24, 1, 0.961?\nAnswer: 0.961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 602486.2 centuries in years?\nAnswer: 60248620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15345167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 89.9999911. What is x rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142551 (base 9) in base 3?\nAnswer: 11102121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1122.5299 + -1126.7297136. Let p = u + 4.2. What is p rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4874, -38781, -130816, -310043, -605526?\n\"Answer: -4844*q**3 + q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/51 (b) 2\/13 (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 494727402.89999841 - 494727405. Let b = q + 2.1. What is b rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62484.96 grams in milligrams?\nAnswer: 62484960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141246\/(-1239)*1\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5378*r*v**2 - 6*r*v + 18*v + 49 wrt v.\nAnswer: -10756*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-15) + 2\/5. Let g be (2 + (2 - 3))*r. Let a(n) = 5*n**2 + 1. Let h be a(-1). Solve -g*p + h*p - 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 8*q + 617. Calculate h(-16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 6 = 0. Suppose -15*h**2 - 4*h**3 + 2*h**3 - 13*h - d*h**3 + 33*h = 0. What is h?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**7\/168 - b**6\/40 - 9*b**5\/10 + 27*b**4\/4 - 510*b. Solve f(d) = 0 for d.\nAnswer: -9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 555.9047 days?\nAnswer: 13341.7128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j = -89*j + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 20 = 3. Let g be 99\/(-561)*h*2. Factor 0 - 10\/17*q**3 + 4\/17*q + g*q**2.\nAnswer: -2*q*(q - 1)*(5*q + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 11) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-24) + 1 + 6\/(-3). Put 3, -2, u in descending order.\nAnswer: 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 9 = -84. Let w = 31 - q. Let x = 2 - -18. What is the lowest common multiple of w and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0972 times 107?\nAnswer: -438.4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.1 + 2.1. Let n = 3 - i. Let a = 12.945 - n. Round a to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 - 3*p**3 - 6*p**2 - 4*p**3 + 2 + 2 - 120*p.\nAnswer: -p**3 - 6*p**2 - 120*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550, 752, 984, 1246?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 4) + -1 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-80)*5 + 19341\/2. Suppose -11*b = -152 - h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -327051*q + 10. Let a(o) = -2*o. Give z(a(n)).\nAnswer: 654102*n + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*c**3*z**3 + 56186*c**3 + 10*c**2 - 5217*z**3 with respect to z.\nAnswer: 231*c**3*z**2 - 15651*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1111, -1530, 0.2, -2\/9, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/88)\/((-4189)\/(-46079))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592)*-1)\/(2*sqrt(144))*1 + 2.\nAnswer: -3*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/10 (b) 27 (c) 5 (d) -3 (e) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1675 + 1675. Is 5\/1388 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let c be 11 - (12 + -4 + 4 + -1). Let z(h) be the first derivative of c*h + 58\/3*h**3 + 0*h**2 - 38. What is q(z(p))?\nAnswer: 6728*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402042 is divided by 22322.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - 2*a**2 + 3*a**2)*((5 - 3 - 4)*(2 - a - 2) - 2*a + 0*a - 2*a + (2 + 1 - 2)*(-2*a - 3*a + 3*a)).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65089*0.2.\nAnswer: -13017.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.03, 2.28818, 0.043 in decreasing order.\nAnswer: 2.28818, 0.4, 0.043, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-10))\/((-6)\/(-30)). Differentiate -h*p + 3 - 3 + 4 + 2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:38 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 9324*t + 74848.\nAnswer: -4*(t - 8)*(t + 2339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 276?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203446.\nAnswer: 2, 101723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2472 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174.1266 - 172.1266035. Let j = 114 + -112. Let v = x - j. Round v to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69734965987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -6915005814864?\nAnswer: -6915005814863.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*o + 1 + (o + 5*o - 4*o)*(134 - 109 - 251) + (0 - 2*o + 0)*(-1 - 3 + 2) + 3*o - 5*o + 4*o - 2*o + o + 3*o as z*o + p and give z.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1130231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8903*h**3 + 25*h**2 + 584419 with respect to h.\nAnswer: 26709*h**2 + 50*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.11 + -6. Let m = 0.89 + n. Let q = -0.57 + 0.27. What is the closest to 0 in -1\/2, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88314\/59 or -1497?\nAnswer: -88314\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 2 - (-2 - -9 - 15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 11. Suppose -2*x - 10 = -0*x. Let m = x + 12. Let j be n(m). Calculate the greatest common divisor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72195 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137325 (base 10) to base 15.\nAnswer: -2aa50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161464 is divided by 161442.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50\/13 - -887\/104. Let b = -3284\/129 + -138\/43. Let j = -125\/4 - b. Find the common denominator of u and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m + 92. Let r be x(-6). Suppose -34*d + 6 = -r. Let -12\/5 - 2\/5*l**2 + d*l = 0. What is l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = -4*u + 26, 0 = -q - 5*u + 17. Let t be 1\/(q + 0 + -3). What are the prime factors of 16 + t + (-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -1514?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -349544 divided by -43693?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:34 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -15*d + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.557ng in milligrams?\nAnswer: 0.000576557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 298*x**2 - 10*x - 16. Let w be g(-2). Suppose s + w = 6*s + 2*o, 4*o = 4*s - 968. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126.9064 + 0.0136. Round v to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 1:37 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 18*m**3 + 192*m**2 + 288*m.\nAnswer: -3*m*(m - 12)*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/90 + o**5\/24 - 5*o**3\/6 + 6*o**2. Let a(c) be the first derivative of v(c). Find the second derivative of a(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7746? (a) 0 (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v - 45. Suppose -70*i + 132 + 148 = 0. Calculate the remainder when v is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -173, -282, -383, -470, -537?\n\"Answer: n**3 - 2*n**2 - 110*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**2 + 0 - 1\/5*z**5 - 6*z + 1\/3*z**4 + 0*z**3. Factor q(g).\nAnswer: -4*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.32 - 2.9. Round a to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 27 = 4*b + 3*t, -5*t = 5*b - 30. Suppose 25 - 7 + 12 = 10*z. Solve 0 = z*f + 6*f + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29 = -20. Is 4669\/z + -2 - 8\/(-36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = -14*k - 225. What is the third derivative of -969*q - q**2 + 969*q - q**3 + 37*q**6 + 30 + k wrt q?\nAnswer: 4440*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0327 - -0.02\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p**(-6)*p)**(-1\/7)\/((p*p**(-2\/9)\/p)\/p**(1\/2))**(3\/2) assuming p is positive.\nAnswer: p**(187\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-20)\/140*(-14)\/32 and ((-4)\/6)\/((-4)\/(-107)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose b - 5*b + 68 = a. Let f = b - 11. What is the highest common factor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -35. Suppose 5*z - 22 = -7. Let w = z - f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36315 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-261)\/(-63) + (-2)\/14. Suppose 0 = 3*y + m - 4, -8 = -3*m + j. Let d be (-274)\/(-91) + 21 + -23 + -1. Which is bigger: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 91*w + 94. What is the remainder when a(41) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 3*b**2 - 5*b + 12. Let f = 152 - 104. What is the remainder when f is divided by j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/6)\/1)\/((-175)\/2625).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 1. Let l be u(-2). Suppose -o = -3*c + 13, -2*c + 4*c - 4*o = 2. What is the greatest common factor of c and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + 2*-1*(-17)\/(-34). Suppose -4*u = l - 4*l + 83, 2*u = 4*l - 104. Suppose -3 = -3*p, -3*q + 4*q - l = -5*p. Solve -2*n = -g*n - q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 240165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n - n + (-n + 3*n - 4*n)*(1 + 3 - 5))*(0*n + n + 3*n) + 40*n**2 - 70*n**2 + 43*n**2.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1877\/8 + -235. Calculate the common denominator of s and -53\/502.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(8\/9)*y**(-30)*(y**(-3\/7)\/y)\/y**(5\/12) assuming y is positive.\nAnswer: y**(-7549\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 70 - (15 - 28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4170 - -4515. What is the smallest common multiple of y and 230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363339704 a multiple of 2296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.87 + -75.87. Let m = -75.4 - l. Sort m, 2\/21, -3 in ascending order.\nAnswer: -3, m, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 178*w + 13150. Give v(-74).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 1. What is d(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14033001 - -4?\nAnswer: -14032442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12677009 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from yfyyyyyfyyyfyyfyfy.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 15. Let s be r(-10). Let i = 66 - s. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 36 = 4*n - 9, 0 = 5*b + 4*n - 13. Solve -8*v = -4*v - 16, 2*v = b*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 87, 726, 2505, 5994, 11763?\n\"Answer: 95*x**3 - 26*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11182 (base 16) in base 12?\nAnswer: -3462a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20220 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 - 7*b**2 + 71*b + 7*b**2 + 89*b - 6*b**2 + 10*b**2 = 0 for b.\nAnswer: -35, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2756 less than 0.1?\nAnswer: -0.1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033549808 to six decimal places.\nAnswer: -0.000335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/36 and 133\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:09 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1700)\/(-32640)*((-49)\/(-4) - 1) and -61\/32.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 18*t - 8. What is j(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -232100321 (base 4) to base 7\nAnswer: -1416320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -643 less than -640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029 take away 1049623?\nAnswer: -1050652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -34 + 12 + 10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -101?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3487805, -3487865, -3487925?\nAnswer: -3487985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 + 15*k**2 + 19. Let m be x(5). Solve 21*u + 2 + m = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - h + 1 = 9, -f + 5*h - 14 = 0. Let q = -2 + f. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 34*n - 4. What is the lowest common multiple of v(16) and 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = 0, -249*p + 246*p + 3 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*l - 2*l. Suppose 3*m = 2*m - c + 7, 3*c - 9 = l. Let o(g) = -g**2 + 12*g - 16*g + m + 7*g. Calculate o(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2842, 2896, 2966, 3052, 3154, 3272, 3406?\n\"Answer: 8*w**2 + 30*w + 2804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -323, -364, -405?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -929 + 335. Put -3, 10, -4, s in increasing order.\nAnswer: -4, -3, 10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, 50 in ascending order.\nAnswer: 3, 15, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/105 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -63.1. Let u = m - 61.99948. What is u rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -17, -36 in decreasing order.\nAnswer: -1, -5, -17, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6850.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5649 - 5648. Let y(d) = -2*d + 13. Let w be y(9). Put w, i, 2, 5 in increasing order.\nAnswer: w, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 26 = 2*l. Let u = 162 - 110. What is the greatest common factor of l and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*f - 2330 = -146*f + 34 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 - 117. Suppose n*a = 16, -p - 9 = 2*a - 7*a. Calculate the least common multiple of p and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -1 + -1 + 12. Suppose 4*y + l*o = 8*o + 42, 0 = -y - 4*o. Suppose -3*t - 19 = -k, -2*k - 5*t = -2 + 19. Solve -k + y = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 88 + 13 = 0. Suppose -2329*r + 1264*r + 85200 = 0. What is the greatest common factor of o and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -23. Let a = -12.2 - q. Let b = 0.2 + a. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-39)\/6 + 2)\/((-3)\/(-404)). Let i = 949 + y. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/4161 + 4624\/1926543. Is a bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14220 and 12700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1312, 0.11, 0.42 in increasing order.\nAnswer: 0.11, 0.42, 1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 87*m + 30*m + 27)*(-1 - 5 + 4) as k*m + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21998 + -21996. Solve z - 1 = n*i - 0*i, -12 = -4*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17452350)\/273000 + 64 + (-1)\/20?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 1, d: 2, c: 3}. What is prob of sequence ndcd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 915 and 2235?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 403193 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7dc (base 14) to base 13\nAnswer: -936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/5)\/h*h))**(-4) assuming h is positive.\nAnswer: h**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1481 - 7144.524\nAnswer: -7144.3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -16*s**3 + 20*s - 4. Let c(f) = -31*f**3 + 39*f - 9. Let v(x) = 4*c(x) - 9*m(x). Find the second derivative of v(w) wrt w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338, -2667, -3996, -5325?\nAnswer: -6654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101200 + -2210?\nAnswer: 2021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 4)*(4 - 5 - 1)*(-3 + 0 + 2)*(0*f - f + 2*f)*(-10 - 6*f + 10) in the form b*f**2 + j + m*f and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + x + 0*x + 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29813542 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**2\/8 + 1165*a\/2 - 333\/2.\nAnswer: (a + 666)*(7*a - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202110011 (base 3) in base 7?\nAnswer: -202564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*p**3 + 245*p**3 - 56*p**2 - 432*p + 436*p in the form n + v*p**3 + q*p + g*p**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 6728302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {s: 9, y: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86424 and 5928.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1940 * 3605.41\nAnswer: -6994495.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + -42 - (-12 + 12)) + (0 - -33).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501.012 - 502. Let q = n + 0.528. Round q to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 108. Suppose -34*q + 2127 + 4127 = 25*q. Calculate the highest common factor of i and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65366 - -44?\nAnswer: 65443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*p**4\/4 - 733*p**3\/4 - 3861*p**2 - 5280*p - 1600 = 0. What is p?\nAnswer: -40, -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -47. Let l = 23 + -13. Let u be (0 - -3)\/((-3)\/(-4)). Solve 5*c = -w*z + 5*z - l, -17 = u*c + 5*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 t when four letters picked without replacement from iwcwididtiiwcdtwd.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1649178161?\nAnswer: 113, 14594497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/(-273) - (-266)\/26. Solve 5*u = 2*b - 19, n = -2*b - 4*u + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59414*v + 118889*v - 59473*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*s**2 + s**2 - 1036*s**3 - 5*s - 3*s**2 + 1044*s**3 to r*s + w + d*s**3 + f*s**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 940*n + 2513*n + 607*n.\nAnswer: 4060*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9 times -0.12?\nAnswer: -2.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 472\/12 + (-4)\/3. Let d = w - 35. Find the third derivative of 0*z**2 + 29*z**2 + z**2 - 51*z**3 + 11*z**d wrt z.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*f*o**4 + 128*f*o**3 - 1357*f*o - 2*f - 40*o**4 - 9*o**3 + 2*o**2 - 727*o wrt o?\nAnswer: -648*f*o + 768*f - 960*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5054, 0, 0.06, 0.8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523553435.\nAnswer: 5, 937, 111751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.70262\nAnswer: 0.35131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -34 (c) 2305 (d) 1\/2 (e) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3. Let f be m(-8). Suppose 4*r + 30 = 7*r. Suppose f*h - 5 = r. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (76\/(-6))\/((-2)\/6). Suppose 23*c - 84*c = 48*c - 4142. Is g at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.6 - -76. Which is the nearest to 1? (a) l (b) -0.3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*o - 7, -3*c + 2*o - 4 = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1989)\/468)\/((-30)\/600)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.1 and 77.\nAnswer: 1393.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.4 + 20. Let l = 1.578 + 0.072. Let m = i - l. What is m rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 2*i**5\/15 - 2*i**3\/3 + 291*i**2. Let f(u) = -u**2 + 1. Determine -12*f(l) - 3*o(l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 - i + 7. Suppose -3*o + 3*k = -5*o + 12, -4*o = 2*k - 16. What is the remainder when o is divided by f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/3 (b) -4 (c) -0.05 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, h: 1, l: 2, k: 2, a: 1}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 y when four letters picked without replacement from {y: 13, k: 5}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**2 - 11*b - 28. Let y(h) = -2*h**2 - 3*h - 7. Let q(a) = 6*o(a) - 22*y(a). Find the first derivative of q(v) wrt v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdppypddde. What is prob of picking 1 e and 1 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44466.\nAnswer: 2, 3, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 + 278?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 2, -4126 in decreasing order.\nAnswer: 134, 2, -4126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 279\/(-135)*-13 - 10\/(-75). Solve -z*t - 52 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-9 + 23) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5\/4 + 14157*k**4\/8 + 458843*k**3\/2 + 28857237*k**2\/4 - 76559627*k\/4 + 93555249\/8 = 0.\nAnswer: -6947, -67, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*x = 9, -7*x + 5*x + 6 = -2*a. Find the second derivative of -q**5 + 12*q**5 - 8*q**5 + 10*q**4 + 4*q + a*q**5 wrt q.\nAnswer: 60*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 190, 8, -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 + 28*p**3 + 36*p**2 - 108*p - 216 = 0. Calculate p.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/21 and -56\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) -3\/2 (c) 7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 - 7*v**3 - v**3 + 3*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1660 and 67645?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0, -52 in descending order.\nAnswer: 1\/3, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*n - 9*n. List the prime factors of n\/18 + (-7228)\/(-36).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -n + 656, -5*y = n + 6*n - 1640. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/i*i**7*i**5\/(i*i*i\/i**(-5)*i)*i*i**(2\/15)*i**(4\/3)*(i*i**0)**(1\/8) assuming i is positive.\nAnswer: i**(-169\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/24)\/(27\/(-6)). Let x = 25498\/17 - 1559. Let r = x - -59. What is the second biggest value in 5, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:06 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 201?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from lmiilllmllmlmlimlli?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3160132, -3160131, -3160130, -3160129, -3160128?\n\"Answer: a - 3160133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 - (-2 + 1 - (209 + -182)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 86*b + 754. Give u(-6).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2273*u**2 + 2275*u**2 + 11 - 2*u**3 - 3 as n*u**2 + r*u + q*u**3 + m and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13257 (base 8) to base 11.\nAnswer: -43aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*c + 95 = 0, 2*h + 3*c = -9*h + 8*h + 87 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 51\/(-15). Suppose -x**4 + 2 + 5*x + 0*x**3 - 2*x**3 - x**3 + 2*x**i + 3*x**2 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51+1436711506\nAnswer: 1436711557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 5 + -3 + 1.\nAnswer: 3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25789 by -25789.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 29120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -39*o + 721. Let i be z(18). Solve 14 = -5*x + i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = -5*s, -s = -5*z - 2 + 8. Let o = s - 3. List the prime factors of (6*o)\/(-3) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = h, -4*l + 5*h + 84 = 0. Let r = 22 - l. Let u(i) = i**2 - 6*i. Let x be u(6). Solve -f + r = -4*y, 0 = -f - y - x - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(39\/12). Let r = -87.7 + 87.2. Which is the second biggest value? (a) r (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 2 + 13 + 2*p + p**2)*(-p + 3*p + 4*p)*(-7*p**2 - 11*p**2 - 9*p**2)*(-5 + 1 + 3).\nAnswer: 162*p**5 + 324*p**4 - 648*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/3 + 0 - -9. Let k = n + -7. Let o be (2 - k)*(-10)\/4. Solve -o*t = -2 - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 600 = 106*t - 161*t. Solve 63*n - t*n - 100 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12352189 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/628613 and 81\/4228.\nAnswer: 17601164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 105*b + 1100 - 2*b**2 + 315.\nAnswer: -2*b**2 + 105*b + 1479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 10 = -4*s, 0 = 3*s + q + 5. Let d be 3*2\/(-6)*(1 + 3). Sort d, s, 1.\nAnswer: d, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -353*m**2. Let x(b) = 34*b - 34 + 34 - 71*b + 36*b. Give x(o(w)).\nAnswer: 353*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492622623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwjyj. Give prob of sequence wy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190\/76*(-8)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-18)\/(-56).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -3)\/(1*-1). Suppose l = 5*i - 18 - 37. Find the third derivative of -52*a**2 - a + i*a**5 + 63*a**2 + a wrt a.\nAnswer: 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 143 (c) 1\/4 (d) 1\/6 (e) 6\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79936948 and 78?\nAnswer: 239810844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 5*i - 4 + 7)*(4*i - 45 - 6*i + 108) to the form w*i + f + z*i**2 and give f.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v = 54*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**4 - 5*n**4 - 38 + 28 - 2*n + 6*n**3 wrt n?\nAnswer: -24*n**2 + 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 22. Let j = u + -9. Calculate the smallest common multiple of j and ((-14)\/3)\/(1\/(-3)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9224850*w + 612. Let j(o) = 3689940*o + 245. Let x(l) = 12*j(l) - 5*q(l). Let r be x(4). Round r to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12255695*c**4 - 695*c**2 - 18084*c wrt c?\nAnswer: -294136680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -1)\/(-6 + 19\/3). Suppose w + 7 = -5*k - 11, -2*w + 5*k + f = 0. Let b(p) = -4*p - 6. Determine b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22423 and 442.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25401.\nAnswer: 3, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, 0*h + 65 = 4*h + 5*m. Solve u + h = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.625847 millennia in months?\nAnswer: 19510.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69494678471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89931 is divided by 154?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-2)\/(-9)*39. Let o = t - -29. Suppose 0*x = 3*x - 15. Put o, -2, x in descending order.\nAnswer: x, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 14*v**6\/15 + 5*v**2 - 3*v + 7. What is the derivative of f(y) wrt y?\nAnswer: 112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:15 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1301211121 (base 4) to base 13\nAnswer: -1339ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-3))\/(5\/15). Solve -19 - 1 = -c*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 213*m**3 + 66*m**3 + 83*m**3 + 66*m**3.\nAnswer: 2*m**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26a + -2?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-5)\/20). Let l(w) = w**3 + 3*w**2 + 2*w + 3. Let f be l(g). Solve f*y + 0*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f + 5*f**2 - 3 + 7*f + 2.\nAnswer: 5*f**2 + 25*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3 + 5*n - 5 + 13 - 6. Let u(t) = -t. What is -q(k) - 4*u(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 n when four letters picked without replacement from nfmfxffxfxxffffzn.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2773*p - 1562*p - 1210*p. Let r(n) = 7*n**2 + 21*n. Calculate r(x) - 21*u(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 19.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1698401, -3396478, -5094555, -6792632?\nAnswer: -8490709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**2 - 53*v + 2. Let h(w) = w**4 - 18*w**2 - 159*w + 7. Let x(p) = -2*h(p) + 7*u(p). What is the second derivative of x(j) wrt j?\nAnswer: -24*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*3*8\/(-2 + 10). Solve -j + 8 = h*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1306*i + 465*i - 3068*i + 1302*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4\/5 + 754*m**3\/5 - 37158*m**2\/5 + 150512*m\/5 + 16928 = 0?\nAnswer: -1\/2, 5, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -7 + 5\/2*l**2 - 17\/3*l**3 + 0*l. What is the second derivative of n(d) wrt d?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/90*-12)\/(39\/(-1560))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {i: 4, c: 1, k: 1, j: 5, t: 2, m: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 96 (b) -2 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (16 - 8 - (-12 + 10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458)*-1)\/(-3*sqrt(81)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = -2*l, 135*r + 12 = 134*r + 2*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33408 divided by 1392\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(144) + 2*sqrt(144)))\/(-2*(sqrt(12) - (sqrt(1452) - sqrt(1452)*-1)))*4.\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 69. Let v = -43 - k. Solve 4*w + 5*y = -31, 3*w + 2*y + v = -15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -125*z + 127*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 16.36. Let o = a - 2.36. Sort 3, o, -3 in increasing order.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 34 = 7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7413 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 32. Let y be (-119)\/m - (-1)\/4. Suppose -15 = -3*z, -5*o + 8*o - 3*z = 0. Which is the nearest to 1? (a) o (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19015 - 1786*t + 19015 - 2266*t**4 wrt t.\nAnswer: -27192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 + 18*j**2 - 14*j + 19. Let s(w) = 4*w**3 - 8*w**2 + 7*w - 10. Let p(l) = 4*g(l) + 9*s(l). What is the derivative of p(n) wrt n?\nAnswer: 24*n**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h*h\/((((h\/h**(2\/7))\/h)\/h)\/h)))**(3\/5) assuming h is positive.\nAnswer: h**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzbabgzyy. Give prob of picking 1 z and 2 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 485144074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4136 and 538902.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 - 8*s - 10. Let y be m(-3). Suppose y*n - 27 + 27 = 0. Factor 0*x + 1\/6*x**3 + 1\/6*x**2 + n.\nAnswer: x**2*(x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.3. Let q = -0.1 + p. Let l = -253 + 507\/2. What is the closest to q in l, -2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-602)\/21 - 235\/(-141)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-20555.18.\nAnswer: -1849.9662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083364.\nAnswer: 2, 270841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Suppose 4*l + 123 - 779 = -u*y, 5*l - 799 = 2*y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:10 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2\/15, 48\/17, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d + 1. Let o be n(2). Calculate the remainder when -2*(-29)\/2*1 is divided by o\/(-20) - (-183)\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.63 and -8025.\nAnswer: 37155.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562*r - 20 = 558*r. Let m be (-108)\/(-9)*(-1)\/((-3)\/r). Calculate the highest common factor of m and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 29. Let l(q) = -q + 10. Determine -3*f(w) + 8*l(w).\nAnswer: w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777037, -1777029, -1777021, -1777013, -1777005?\nAnswer: -1776997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8*1*4. List the prime factors of (0 + 1)*3 + n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2041.5 to the nearest ten.\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 1. Let o(q) = q**2 - 6*q + 6. What is the smallest common multiple of o(6) and g(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*b + 28 = -3*c, -24 = 2*c - 4*b. Let u(p) = p**2 - 2*p - 14. What is the smallest common multiple of 11 and u(c)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-345692)\/130 + (-8)\/(-20). Let d = x + 2660. Suppose -d*g**4 - 8\/13*g**5 - 2\/13 + 2\/13*g - 2\/13*g**3 + 10\/13*g**2 = 0. What is g?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1204441*o**3 - 9376030*o?\nAnswer: -7226646*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by -6348.\nAnswer: -112\/1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 43*w**8\/10080 - w**7\/1680 + w**6\/720 + w**5\/5 - 14*w**2. Let f(b) be the third derivative of g(b). Is f(1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/56 + -107\/280. Which is smaller: h or -2\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f + 29 = 5*m, -4*f = -12. Let k = 23 - m. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 2*p - 3. Let d be j(4). Let z = d + 0. Suppose 0 = 3*b + 5*h - 1 - 8, -4*h = 12. Solve 0 = -t + z*t - b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 - 342*b**2 - 247*b**2 + 228*b**2.\nAnswer: -387*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/(-32) - 1\/4. Let z be 1\/(-2)*p + 4898. Suppose -3*i = -2*i - 3*u + z, 4*u + 9804 = -2*i. What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 767\/230 + -135\/46. Let v = 2.78 - 0.18. Let f = -0.6 + v. Which is the third biggest value? (a) q (b) -3\/5 (c) f (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2804*m - 165453. What is v(59)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 180. Determine n, given that 4*n**2 + 4*n**2 + 232*n**5 - 14*n**4 - 40*n**3 - t*n**5 = 0.\nAnswer: -1\/2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347 is divided by 362.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + b06809?\nAnswer: b06806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t - 6 = 0. Which is smaller: 2\/15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171800686?\nAnswer: 2, 233, 317, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -4 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274488 is divided by 128.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37923?\nAnswer: 3, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 28*k - 576. Calculate the lowest common multiple of z(26) and 88.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (9 + (27 - 74))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 4. What is the lowest common multiple of v and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 40342 = 17822. Is o a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/28, 4, -8, -1.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 29. Suppose 0 = 5*k - 9 - 106. Let m(l) = k - 23 - 2*l**2 - l**2. Give s(m(t)).\nAnswer: 18*t**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374547 is divided by 1560.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/y*y)\/(y*y**(-7\/6)) assuming y is positive.\nAnswer: y**(31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 66\/(-220) - 2631\/30. Is k at most as big as -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.6 and 69678.\nAnswer: 69661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 19*b**2 + 4*b + 9. Calculate a(-20).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*s + 2. Suppose 0 = j - 0*k + 2*k + s, k = 5*j - 6. Let h(b) = b**2 - 2*b + 1. Determine h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 2, d: 4}. What is prob of picking 1 d and 1 g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:47 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.04, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 7:56 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 18 + 174 = 0. Let f = 71 + m. Suppose 6*q - f = q - 3*y, -3*q + 4*y + 8 = 0. What is the highest common divisor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 + -2)*1\/(-2). Let h(t) = t**3 + 6*t**2 + t + 8. Let w be h(s). Let r = 249694 - 249691. Solve 0 = -f - c + r*c, -w*f + 12 = 2*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - (0 - 0)) - (177 + 79 + -206)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*m + 30, -692*m = 4*x - 694*m - 12. Let w = 43 - 23. Solve x = w*z - 18*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n. Suppose 3*k - 15 = -0*k. Let c(g) = 7*g - 3*g - k*g. Give c(a(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 115. Suppose g*k - 25 = 47. Let u be 2\/k*3*(-24)\/(-3). Solve -3*z + z = -u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11764288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-33) + 40\/22. Suppose -6*c = -t*c - 20. Solve c*x + 13 = -7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2208, -9333, -21238, -37923, -59388?\nAnswer: -85633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s - 1 + 3*s - s + 3. Let d be r(-3). Which is the third biggest value? (a) 4 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:57 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2863 (c) 5 (d) -1\/3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 - 7*g + 8. Let b = -14 - -4. Let t = b - -16. What are the prime factors of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174840204 divided by 58280068?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/6 + 3*t**3 - 22*t**2 + 69*t + 2. Let z(y) = 0. What is y?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59791*g**2 + 0*g + 59789*g**2 + 3 - 1 - g - 124*g**3 as i*g**3 + t + j*g**2 + l*g and give i.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20437*4.\nAnswer: -81748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**4 + w**2 + 1. Let n(p) = -5*p**4 - 13*p**3 - 6*p**2 - 6. Let o be (-4)\/3*(-18)\/24*-1. Let m(x) = o*n(x) - 6*l(x). Factor m(f).\nAnswer: -f**3*(f - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 0.3 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2976072 rounded to 3 decimal places?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 93147698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -9*j. What is the nearest to -0.4 in j, 4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 39, -0.5, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 165 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69600.86ml?\nAnswer: 69.60086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-2112)*-81*(-44)\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/((-15)\/(-3)))\/(200\/10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 - 136. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 8:03 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 + -0.3. Let b = a + -1.05. Let d = b - -2. What is the second biggest value in d, 5, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -157899?\nAnswer: -157899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2 - 6 + 1. Let a(n) = -n - 2. Let o be (2 - 2) + 0 + 0 - 3. Let i(v) = o*a(v) + 2*y(v). Let h(z) = -4*z**2. Determine h(i(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 396 - 395.9803. What is d rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211 - 211 + 41*q to the form d*q + t and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00698796 rounded to five dps?\nAnswer: -0.00699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**8\/336 - s**4\/8 - s**2 + s. Let b(w) be the first derivative of o(w). Find the second derivative of b(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2760 divided by 5?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*y = 10, 4*z + 2*y + 2*y = 4. Factor 6\/7*j**z + 0 - 2\/7*j.\nAnswer: 2*j*(3*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 7511 - 7511.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 - (-54 + 42 - 17)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 270 = -3*c. Suppose c = 3*f - 0*f. Suppose 0 = -h + y - 2, 5*h + 6*y = 4*y + f. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**3. Let c(b) = -5*b**3. Suppose 0 = -21*d + 20*d + 7. What is d*c(p) + 2*o(p)?\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2 - 179056*v - 4007631392 = 0?\nAnswer: -44764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -97 - 171. Let p = -64 + b. Let a be 1*-1*(-7 + 2). Solve 0 = t - 0*t + a*z - 12, 2 = p*t - 2*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154\/9 - 2\/9*p**3 - 190\/9*p + 38\/9*p**2.\nAnswer: -2*(p - 11)*(p - 7)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3764817281.\nAnswer: 7417, 507593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*d = 156. What is the greatest common factor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118649641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/3))\/(h*h\/h**(-2)))\/(h**(3\/4)\/(h**(-1\/10)\/h))*(h**(-3\/2)\/(h**(-6)\/h))\/((h**(-7)\/h)\/(h\/h**(1\/8))) assuming h is positive.\nAnswer: h**(1063\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 + -14)\/((-2 + 3)\/1). Let h be 4 + j + 1 - 2594. Round h to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-23465)\/(-13))\/((-15)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1720)\/(-3 + -17) + 9. Solve 2*a + 91 - z = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2412, -2499, -2574, -2631, -2664, -2667?\nAnswer: -2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4778564 and 913549.\nAnswer: 62121332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8229898*v**2 - 1334627*v + 3 wrt v?\nAnswer: 16459796","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1705 + 2.5705. Let y = 49.4 + -61. Let o = i + y. Round o to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 10, 3 in ascending order.\nAnswer: -5, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - w - 4. Let v(o) = 404*o + 3632. Let n be v(-9). What is k(n)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 12 = 0, w - 2494*z = -2482*z + 16 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3*h**2 + 2*a**3*k**3 + 52*a**2*h**2*k**3 + a**2*h**2 - 4*a**2*h*k**2 wrt k.\nAnswer: 12*a**3 + 312*a**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + 9 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 17*w**2 + 44*w + 24. Let m be c(-14). Suppose 0*n + 25 = -5*n. Put m, 3, 2, n in increasing order.\nAnswer: n, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82, -155, -228, -301?\n\"Answer: -73*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/3*(0 - 6). Suppose 40 = 4*r + c. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5 - 38348*x**4 + 368025489*x**3 - 7346442690*x**2 + 12117473856*x + 19831980384 = 0.\nAnswer: -1, 3, 18, 19164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 298*y - 282. Let u(x) = -168*x + 141. Give 4*b(t) + 7*u(t).\nAnswer: 16*t - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/39 (b) 5 (c) 4 (d) -14 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 11 + (1 - 2) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4579\/9 - 509. Let r = 3 - 3.5. Let q = 0.9 + r. Put q, 0, f in ascending order.\nAnswer: f, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -11.3302?\nAnswer: -4.53208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 772142126 + -928351\nAnswer: 771213775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cck when three letters picked without replacement from kkckkkkkkkkkcckckkk?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14769164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/2)\/(-3) - -3036. Suppose u = 7*f - 2178. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000021212 (base 3) to base 11\nAnswer: 12504a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 173095, 346194, 519293, 692392?\n\"Answer: 173099*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8 = -4*h, -h - h + 4 = -4*p. Suppose 2*a = 5*a - 12. Solve -8 = a*x, h*x + 4 = -3*y - 0*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222254056 times -0.4?\nAnswer: -88901622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -0.51. Let s = -0.35 + y. Let d = s + 0.9. Round d to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.02, 6, -22, -8\/15?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348143402.\nAnswer: 2, 271, 503, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-1738)\/1056 - 10\/12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1 = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ynyyyfnemffffn.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/775651 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -427.51 and -0.072158.\nAnswer: -427.582158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72967 and -121395.3691.\nAnswer: -194362.3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110b8 (base 14) in base 2?\nAnswer: -1010000101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 4. Let n be d(3). Let a = n + -10. Let y = 25 - a. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -77\/2 (b) 0.2 (c) -238 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -609961*l**3\/3 + 608399*l**2 + 4683*l + 9.\nAnswer: -(l - 3)*(781*l + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73011 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1976 + 272 - 2423)*(-3*u + 8 - 8) to m + v*u and give v.\nAnswer: 12381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -27*t**2 + 4*t + 2. Determine p(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrffffrfrrfr. What is prob of picking 1 r and 1 f?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.19? (a) 4 (b) 4\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5071342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)**(-50))**(-20)\/((j**(-2))**(5\/8)\/(j\/(j\/j**(2\/13))*j\/j**(-8))) assuming j is positive.\nAnswer: j**(104541\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/72 + 2 + (-2)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2634*r - 4. Let t(n) = 879*n. Let j(i) = h(i) + 3*t(i). Suppose 4*s = 3*s + 11. Give j(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 27 - 24) + -14 + (-1 - 6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 8. Let u be m(-4). Does 13 divide -2 + u\/(-2) + 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 3 - 2*w + 0 - 3*w**2 + w**3. Let c be p(3). Is 12 a factor of c\/42 - (-114)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000106204 rounded to 7 dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1875.52.\nAnswer: 187.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/30? (a) 0 (b) 5 (c) -2 (d) 3 (e) -1023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**2 - 2*g + 2. Let p be c(1). Suppose -2*j - 2 = 4*s - 0, 0 = 3*j + 15. Solve 1 = s*z - p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**12)**(1\/6)\/(i**(5\/3))**(-2\/43) assuming i is positive.\nAnswer: i**(268\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45296, -5, 72, 0.2?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 11. Let t be d(7). Suppose -2*w + 4*h + 182 = -0*h, -t*h - 270 = -3*w. List the prime factors of w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 12. Suppose 0 = -2*x + k - 4*k + 6, -4 = -2*x - 2*k. Let n = -5 - x. Let u be i(n). What is the greatest common factor of 63 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13204 + -0.06796. Put 0, -511, h, -4 in descending order.\nAnswer: 0, h, -4, -511","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 851 and 33004?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 528*l**3 + 1714*l**2?\nAnswer: 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*c**4*z**3 - 11*c**4 + 4*z**3 + 25*z wrt c.\nAnswer: 68*c**3*z**3 - 44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kku when three letters picked without replacement from {u: 9, k: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -228?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100110111101100?\nAnswer: 100110111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2. Suppose 7*r - 3*r = r. Suppose 2*a - c + 2*c - 74 = r, -5*a - 4*c + 191 = 0. Let h(f) = 35 - a + 3*f. Determine h(q(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*p = -2*l + 3, 4*l + 12 = 2*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -8 - (-13 - -11) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 22*k + 33 - 28*k - 16 - 13. Let u(c) = 65*c - 45. Calculate 45*i(w) + 4*u(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*s = -36 - 5, 5*q - 30 = 2*s. What is the remainder when (30 + q)*(-6)\/(-4) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -182 + 5?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q - 4*z, 5*q - q + 5*z = 1. Let c be (1\/2*0)\/1. Put c, -5, q in increasing order.\nAnswer: -5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 1. Let x = 2 + -5. Let l be (-3 - (1 + x))*3. Let o(b) = 5*b**3 + 8*b**2 + 8*b + 3. Let r(c) = l*a(c) - o(c). Solve r(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 5, -0.2, -1\/13, -0.3, 0.4, -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.358\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 19*g + 4. Let j(y) = -44*y - 7. Let v(k) = 6*j(k) + 14*s(k). What is v(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -192633*m**2 + 2. Let u(z) = 400*z**2. Calculate w(u(k)).\nAnswer: -30821280000*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + h - 1 + h + 4*h.\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -63*b + 3. Let h(s) = 180*s - 10. Give -2*h(g) - 7*m(g).\nAnswer: 81*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85.99999814 - 86. What is d rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576*w + 22*w = 0. Let s(i) be the second derivative of -1\/12*i**3 - 1\/2*i**2 + w + 1\/24*i**4 + 22*i. Find o, given that s(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2*2))\/(65\/((-5655)\/(-174)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9139 less than or equal to -9139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let q be m(-1). Let f = -2 + q. What are the prime factors of (-33)\/f*8\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 1 - (-3380)\/(-45). Let s = b + 76. Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4 = 3*d, 18155*f = 3*d + 18152*f + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(28*1*(-1)\/(-4)))\/(36\/2940).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -63\/8. Let n = 51 - 50.5. Which is the second smallest value? (a) 6 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*30740018\nAnswer: 153700090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 40. Let r be 6\/39 - 334\/(-26). Let w = n - r. What is the highest common divisor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Suppose u*h - 11 = b, 4*b = 8*h - 3*h - 35. Solve 0 = -a - h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 - 7651220*o - 30604816 = 0?\nAnswer: -1912801, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (4 - (1 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*u + d + 4*d, -u - 5*d = -4. Let z = 5 + u. Suppose -3*q = h - 6*q - 17, 0 = z*q - 8. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 16 - 67*u**3 - 7 - 5 - 4 - 5.\nAnswer: -67*u**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -49*z**3 - 1. Let i be j(-1). Let a be i\/(-9) - (-3)\/9. What is the units digit of ((-12)\/(-10))\/((-1)\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = -2*l - 132. Let j be 2 + 5 + l - -17. Solve j = -7*t - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = b - 116. Suppose 3*u - 2*t - 262 = 0, t + b = 2*u - 0*t. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 4612?\nAnswer: -4611.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q = 67*q + 4049. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 6*r + 9. Suppose j + 4 + 2 = 0. Let c be z(j). Suppose -2*y + 3 = -c. What is the least common multiple of 4 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 9715293 in increasing order.\nAnswer: -4, -3, 9715293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42670*v**3 + 1690*v**2 wrt v.\nAnswer: 256020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (510\/(-12))\/((-10)\/120)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*m + 62885 = 62888, 2*g + 5*m = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4030911 = 3*f - 580911. Round f to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47.19 (b) 0.029 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 3*o - 15*o - 12 + 7*o + 5*o.\nAnswer: -4*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 2*q - 160 = 9*v, 4*v + 5*q - 25 = 2*q for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0079, 0, -0.3, -2, 2 in decreasing order.\nAnswer: 2, 0.0079, 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n*q + 7*n + 1334*q - 567 wrt q.\nAnswer: 4*n + 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -11.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022001010 - 22011?\nAnswer: -1022100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**22)**(-2\/123)\/(b\/(b**(-20)*b)*b**(-3\/32)*b) assuming b is positive.\nAnswer: b**(-83695\/3936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, -0.012, 3, -0.1, 210 in ascending order.\nAnswer: -0.1, -0.012, 2.9, 3, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, h: 1, y: 1, v: 2}. Give prob of sequence hy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80236\/11 - 7287. Let d = -7 + p. What is the nearest to 0 in -3, 8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 85757638?\nAnswer: 85757637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3*y**2 + 10*x**3*y - 1224*x**2*y**4 - 31*y - 7 wrt y.\nAnswer: 4*x**3 - 14688*x**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -5 + ((-28)\/7 - -13) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:41 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22788509 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h - 3. Let l be t(1). Suppose -l = 4*b - 0, -3*b = -g + 71. Is g a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.01 + -64.61. Let u = 59.59999699 + q. What is u rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2107*q**4 - 1169*q?\nAnswer: 25284*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 2, z: 1, n: 1, v: 1, s: 1}. What is prob of picking 2 j, 1 z, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 11*n = -145. Suppose 2 = o - n. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/210 + z**4\/21 + z**3\/7 - 3*z**2\/2 + 9*z. Let n(i) be the first derivative of q(i). Suppose n(f) = 0. What is f?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Suppose v*l - 12 - 43 = 0. What is the highest common divisor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + -91 - (-3 + -3 + 5 - 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 1\/2, 0.2, -13 in ascending order.\nAnswer: -13, -0.04, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 16) to base 2.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from qmmqqm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46266 + 46265.7. Let a = 0.2 - 0.2. What is the closest to v in 1\/3, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-177)\/15 + 11)*(630\/108 + 0).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 7, 33, -1, -2 in increasing order.\nAnswer: -3, -2, -1, 6, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*l + 13504 + 13776 = 142*l for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 98 (b) 2 (c) -0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 18 = -17*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*d = -z - 270, -2*z - 4*d + 134 = 0. Let r = z - 38. What is the greatest common divisor of r and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(85) + sqrt(85)*1 - sqrt(85)) + sqrt(85))*1)\/(-5*sqrt(50)\/(sqrt(10) - sqrt(10)*2)))**2.\nAnswer: 2448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 3759.1\nAnswer: -37.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**2 + 41*j - 41*j + 0*j**2 - 5*j**2 + 2*j**2 + (-5 + 0 + 3)*(2*j**2 - j**2 + j**2).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(108) + sqrt(3)) + 4 + sqrt(30)\/sqrt(90) + -3 + -4.\nAnswer: -4 + 127*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 - 3\/((-168)\/10). Which is the third biggest value? (a) 0.006 (b) r (c) -2\/9 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7 + 9 - 1133*y - 1167*y.\nAnswer: -2300*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Suppose 0 = -2*n - 4 - 0. Let p = -3 + n. Calculate the remainder when 11 is divided by t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2551703125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55040 and 11745880.\nAnswer: 375868160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2829, 7508, 15317, 26262, 40349, 57584, 77973, 101522?\nAnswer: 128237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - -95. Suppose -5*p + 41 = -q. Let z be ((-10)\/(-6))\/(2\/6). Solve -z*i + p = -2*m, -2*i = -m - m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2134 - 1704. Calculate the greatest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47188 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3473 divided by 7\nAnswer: -3473\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 10. Let u(l) = l**2 - 1 - 4*l + 3 + v*l. Suppose t = -2*p + 1 - 9, t = 3*p + 17. Give u(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.8 (b) -1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = -b. Let v(o) = o**3 + 5. Calculate v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 3. Let u = 472\/1603 + -2\/229. Put p, 3\/7, u in descending order.\nAnswer: 3\/7, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 2*t**3 + 5*t - 4*t**2 - 12*t + 5*t to the form c*t + o*t**2 + w*t**3 + n and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -89*d + 95*d. Solve 0 = -x - 2*x + 4*h + 13, -d = h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26821711.\nAnswer: 7, 19, 201667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r - 6. Let k = 1007 + -1004. Solve r*q = 3*j - 6, -k*q = -2*q - 3*j - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 707, 551, 217, -385, -1345, -2753?\n\"Answer: -15*c**3 + c**2 - 54*c + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = 3*u. Let h = 12 + -12.02. Let l = h - 0.08. Which is the closest to 2\/9? (a) 1\/2 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163094 is divided by 81133?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2475 - -3465. Is 30 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 31 = -3*a, 4*s - 72 = -26*a + 74 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 13. Let w(n) = -n**2 - 2*n + 3. Let s be w(3). What is the remainder when o(s) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0 + 0)*(1 + 1 + 1)*(0 + 4*v**2 + 0).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9*i - 275. Suppose -2*m + 5*m + 2*s - 76 = 0, 4*s - 20 = 0. Calculate the highest common divisor of i and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/408140793 and 57\/453489770?\nAnswer: 4081407930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/346920 and 54\/13475.\nAnswer: 19080600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108367?\nAnswer: 7, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1141349 and -46523952.\nAnswer: -45382603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 3. Let p be h(-1). Solve -4*m = -5*d + 20, 6 - p = -d - m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 2*v**2 - 3. What is the tens digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**37)\/(h*h**(-1\/6)))\/(h**8\/h*h**2\/h) assuming h is positive.\nAnswer: h**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**5 - 2*t**4 - t**3 + 2*t**2 + 6*t - 2. Let i(n) = n**3 - n**2 + n - 1. Suppose -5*k + 132 = 142. Let r(l) = k*i(l) + z(l). Factor r(w).\nAnswer: w*(w - 2)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) - (sqrt(588) + -1)) + sqrt(588) + 0 - (sqrt(588) - (sqrt(588) - (0 + sqrt(588))**2))*-5 - (-2*sqrt(3) + -4 + 5 + 4 + -2).\nAnswer: 16*sqrt(3) + 2938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25*i - 5. Let s be a(-5). Suppose s = -w + 5*w. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 56.6. Let u = -0.3 + -0.7. Sort z, 4, u in decreasing order.\nAnswer: 4, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-2)\/3)*3\/2. Which is bigger: z or -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/70*(-25)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-88))\/((12\/(-4))\/33). Solve k*r = 3*u, 5*u - 10*u = -5*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Let d be (-8)\/(-2*1) - 1. Suppose -5*x + 3*a = -190, d*x + 2*a = -a + 90. What is the highest common divisor of x and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 0*u + 0*u + 3 - 3 + u + (0*u - 3*u + u)*(-98 + 227 - 16).\nAnswer: -226*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -533 + 536. Suppose -5*x + 3*l - 82 + 106 = 0, 2*x - n*l - 15 = 0. Which is the smallest value? (a) x (b) 0.11 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2551\/2821?\nAnswer: 2551\/2821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8730.37 millilitres in litres?\nAnswer: 8.73037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(187)*4)\/sqrt(11))**2 - (sqrt(153) - ((-5 + sqrt(153))**2 - sqrt(153))).\nAnswer: -36*sqrt(17) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*q - 3*q. Let u(k) = 2*k**2 - 16*k - 4. Let y be u(q). Find the common denominator of y\/(-5) - 3\/(-4) and 115\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2149.29 - 2147.29. Let x = 7 + -4. Which is the fourth biggest value? (a) 0 (b) x (c) g (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*n - 3964, -63*o + 66*o - 2972 = -2*n. Calculate the remainder when o is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31\/5 (b) 3492 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513495 a multiple of 1274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f + 4. What is g(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3164584 is divided by 11302.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, 885, 1821, 2721, 3573, 4365, 5085, 5721?\n\"Answer: -2*y**3 + 974*y - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20473525 to the power of 1\/2, to the nearest integer?\nAnswer: 4525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.037, -3, -0.2996, -0.2?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24679132*p**4 + 10467102*p wrt p.\nAnswer: -296149584*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 - 4 = 0. Let w(f) = -f**2 + 10*f + 5. Calculate the remainder when (-3)\/l*(-248)\/6 is divided by w(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16372102 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 13. Let r(u) = 2*u + 6. Let o(c) = -2*g(c) - 5*r(c). Let y be o(-8). What is the greatest common factor of y and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532 divided by 5\nAnswer: -532\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r - 22*r - 26*r.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l. Let z(v) be the third derivative of -v**5\/20 - 144*v**2 + 2. What is y(z(x))?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*x - 18. What is the third smallest value in -0.1, 6, 4\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304624.8mm to centimeters.\nAnswer: 30462.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(80) + sqrt(5)))\/(sqrt(200)*1).\nAnswer: sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**8\/6720 + 2*n**5\/15 + 13*n**4\/24 + n**3\/6 + 38*n**2. Let r(o) be the second derivative of x(o). Determine r(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 489016 and 800208.\nAnswer: 8802288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 5.5. Let q = -1196 + 1210. Which is the third biggest value? (a) n (b) 0.06 (c) q (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (5 + -7 + 5 + -14 + -9) - -10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6034*y + 13801*y + 86171*y.\nAnswer: 106006*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*v + 16, -3*t + 0 = 3*v + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486 at least -251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 15*g = -h - 2, 0 = -h + 3*g - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*r - 897301 - 7201679 = 16*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (565\/(-1695))\/(15\/(-27))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 190, 532, 1472, 3316, 6370, 10940, 17332, 25852?\n\"Answer: 51*l**3 - 7*l**2 + 6*l + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272)*-5 + 2)**2.\nAnswer: -160*sqrt(17) + 27204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3851 (base 9) to base 6.\nAnswer: -21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141426\/(-18225))\/(2\/25).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 2*j**2 + j + 2. Let z(c) = -4*c**3 + 5*c**2 - 2*c - 5. Suppose 5*s + 0*s - p - 49 = 0, 4*s - 36 = 4*p. Determine s*o(d) + 4*z(d).\nAnswer: 4*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**2 - 76*m - 2448 = 0.\nAnswer: -17, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 - 246. Solve 2*q = 5*v + r, -v - q = -0*v - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.0438 (b) 5 (c) 1 (d) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 13*s**4\/2 + 110*s - 198. What is the derivative of h(c) wrt c?\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8632 + 9794.8632. Let v = y - 9784.9896. Let a = v + -9. Round a to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/14 - 4584\/(-84). Which is the third biggest value? (a) -1\/4 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311743.026ms to weeks.\nAnswer: 0.000515448125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pphppphhcpphcphphpcc.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269.5 - -270. Which is the second biggest value? (a) v (b) 5 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127355 is divided by 8489.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o**(3\/4)))\/o**(2\/3))\/(o**1)**(-4\/9))**(-38))**(-45) assuming o is positive.\nAnswer: o**(-3325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvuf when four letters picked without replacement from fvvvvfvfuuffvvfuv.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*s)*(-27 - 4 - 42).\nAnswer: -146*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2614195 and 4182712.\nAnswer: 20913560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:27 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 932.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3355 (base 6) to base 9\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/9, -8, -1\/3, 1\/4, 3 in descending order.\nAnswer: 3, 20\/9, 1\/4, -1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1066 (b) -145 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*j**4 + 1 + 19 - j**4 wrt j.\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t + 382 = -92*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.4 - 88.9. Let k = m + 68. Let n = 0.5 - k. Which is smaller: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 756 - -5*-5*(-4)\/(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 5. Let r(l) = -2*l - 10. Let m(f) = 3*r(f) - 5*y(f). Is m(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Suppose 2 = -4*l + n - 0*n, 0 = q*l - 3*n + 6. Solve -m + 10 = -4*f, l = -m - 2*f - 0 - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**3 - 2*m**2 - m. Suppose -5 = 3*c - u + 1, 10 = -4*c + 2*u. Let q be h(c). Solve -4*w = -4*x + q, -4*x + 20 = -3*x + 5*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 9*w = -108. What is the remainder when 50 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132452 + 132447. Let w = 154 - 1235\/8. Which is the closest to w? (a) r (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6*r + r = -923, 2*i = 4*r + 442. Suppose -5*x = g - 56, 4*g + 72 = 3*x + i. Suppose g = -2*f + 47. Solve n = -2*p + 3*n, -f*n - 2 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59287 - 80*l - 112*l - 59291 + 25*l to the form w + n*l and give n.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 3:14 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 41*c + 147. Let k be 1*-1*(-15 + 1). What is the smallest common multiple of 2 and h(k)?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894132039?\nAnswer: 643, 2945773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2267 (b) 0.8 (c) -3 (d) -525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l**2 + 12*l**2 + 19*l**2)*((1 + 0 + 2)*(2 + 1 + 0) + 1 - 1 - 1 + 5 - 1 - 3) in the form g*l**2 + j + x*l and give g.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -12 - 12. Solve -2 = 2*d + z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g - 2*p - 2*p, 0 = -5*p + 5. Let s(r) = 11*r + 5. Let n(m) = -6*m - 3. Let x(c) = g*s(c) - 5*n(c). Let b(t) = 2*t**2. Calculate x(b(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1540 + -1556. Let x(k) = 4*k + 65. What is x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5 = -r. Let s(u) = -3. Let a(c) = 4. Let p(j) = r*a(j) + 8*s(j). Let q(d) = -d + 21. Let b be (-22)\/((-4)\/(-2) - 0). Calculate b*p(v) - 2*q(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g - 40*g - 34*g.\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*o - 146*o**2 + 47*o**2 + 206*o.\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*j**2 - 12*j**4 - 59*j**2 - 12*j + 30*j**2 wrt j.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1234012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1446451*c**5 - 3*c**2 - 248*c - 563.\nAnswer: 86787060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - k - 6 = 0, -3*g - 4*k + 34 = 12. Let h = -15 - -15. Suppose -a - g*a + 6 = h. What is the smallest common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8439 + 8442.589. What is m rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -25*w**3 - 440*w**2 - 1945*w + 2430. Let p(h) = 8*h**3 + 148*h**2 + 648*h - 810. Let x(d) = 10*p(d) + 3*u(d). Factor x(l).\nAnswer: 5*(l - 1)*(l + 6)*(l + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*248\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000833482 rounded to 6 decimal places?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -10, -5, 0 in decreasing order.\nAnswer: 3, 0, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 77951 (b) 3 (c) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18801168.\nAnswer: 2, 3, 391691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 15620 + 15620.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897*i = 101*i - 21883 + 63799 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106332 (base 7) in base 16?\nAnswer: 4a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 512, 518, 538, 578, 644, 742, 878?\n\"Answer: y**3 + y**2 - 4*y + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 5 + -2*-3*sqrt(7)*3).\nAnswer: 8 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-3))\/((-2)\/15). Suppose -2*v + 1 = -4*b - 7, -5*v + 11 = -b. Suppose 2 + 8 = v*w. Solve -w*s + s = f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f**2 + 147*f + 20. Let s be d(12). Solve 19*w - 39 = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)\/(3\/6). Let a be (-58)\/(-4) - (-2)\/f. Let h = a - 2. Calculate the greatest common divisor of h and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 120?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/4 - -1)\/((-122)\/(-976)). What is the greatest common divisor of d and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + i. Suppose p - 14 - 13 = -5*w, 3*w + 15 = i. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/8 + 32565*d\/4.\nAnswer: 3*d*(d + 21710)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0713209 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61951152 by 2581298.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 86653.\nAnswer: -4\/86653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppjypypygtphytyp. What is prob of picking 1 y and 1 g?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5597 divided by -5597.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -850 - -866. What is the highest common factor of 44 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Suppose t + 28 = -2*p, n*t + 84 = 2*p - 8. Let g be 12\/t + (-13)\/(-20). Which is the closest to 0.2? (a) -0.2 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (734\/(-2333019))\/(4\/6). Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(114) + (sqrt(114)*1 - sqrt(114))))\/(sqrt(54)*-3).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/28980 and 133\/7452?\nAnswer: 260820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, -112, -210, -326, -448, -564?\n\"Answer: 2*k**3 - 27*k**2 - k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owf when three letters picked without replacement from dfwtrrforoo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 190*i**2 - 1481*i - 297. Determine m(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 1, f: 1, y: 7}. Give prob of picking 1 f, 1 p, and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in 1\/3, 3, 0.4, -0.8, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27912 - (7\/14)\/(3\/(-24)). Let u(n) = -2*n + 0*n - 27919*n**2 + f*n**2 + 7*n**3. Give u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j = -52*j + 188. Let k = 42 - j. Sort -2, k, 5 in increasing order.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56525.48 * 10.\nAnswer: 565254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + m + 1)*(0 - 3 + 2)*(2 + 5 - 4)*(3 - 4 + 0) + 6 - 6 + 2*m)*(-282*m**2 + 620*m**2 - 285*m**2) as l*m**3 + g*m + w + y*m**2 and give l.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 - 3304*x**2\/3 + 1705600*x + 1474331136.\nAnswer: -4*(x - 1142)*(x + 984)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 21*q**2 + 44*q - 82. Let b be i(12). Calculate the highest common factor of b and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - 4*o**4 - o**4)*(0 + 1 - 4)*(-16 - 23 + 12).\nAnswer: -81*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 88239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 + 2*b - 1. Suppose 2*p - 12 = -5*l, -5*l + 4*l = -4*p + 2. Determine j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 24*c + 1457. Is 17 a factor of v(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**9\/1008 + u**5\/24 + u**3\/2 + 6*u. Let f(n) be the second derivative of a(n). Find the second derivative of f(v) wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 9624 (c) -1 (d) 0.02 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 23 = 3*m, -5*m - 34 + 3 = f. Is 22 a factor of 3 - (4 - 4) - f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/3, -32, 2, -3.\nAnswer: -32, -3, 5\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 6, 1, -4 in increasing order.\nAnswer: -23, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92274523421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 37847076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1889573691 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*h - 1 - 2157*h**4 + 30*h + 34*h**5 + 3 + 2157*h**4 wrt h.\nAnswer: 680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.03, -2, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in -2\/15, 3\/50, -5, -1?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.007, 3.6, -1?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 - -107*4\/(-18). Let j = 33 + m. Suppose -12*k - j = -15*k. Solve 0 = -3*w + 3, -4 = 4*d + w + k*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 - -130130021?\nAnswer: 130131300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let f(c) be the third derivative of 49*c**4\/24 - c**3\/6 - 8083*c**2. Calculate f(a(i)).\nAnswer: -49*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 438\/(-803) - 112\/(-165)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.5054 minutes in seconds?\nAnswer: 38010.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgghgh. What is prob of sequence ghhg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100212101 + -1220100?\nAnswer: 22021222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -14. Suppose 4*j - 4 = 0, -p*j = 5*o - o - 6. Is o greater than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 1967?\nAnswer: 19670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 41*s**2\/2 - 27*s + 14. Let n(m) = 20*m - 13. Let g(y) = -2*a(y) + 5*n(y). Differentiate g(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/(d\/(d*(d\/d**6)\/d)*d))\/(d*d\/d**(-4)*d\/(d\/d**(4\/3)*d))*((d*d*d**1)\/d*d*d*d*d**(-3))**(-15\/4) assuming d is positive.\nAnswer: d**(-247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**2 - 41*k**2 - 28*k**2 + 11*k**2)*(2*k - 6 + 6).\nAnswer: -136*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from yybyyyybbbyyyy.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476640 by -480.\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -6.3, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -819*k**2. Let t(r) = 2*r. Determine t(z(p)).\nAnswer: -1638*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -6\/7 (c) -1\/7 (d) 0.17 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 2*v + 5. Let r be j(-5). Suppose 4*t + 4 = 2*o - 12, -5*o = t - r. What is the remainder when o is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = -4*t + 1, -3*w - 8 = -5*t. Suppose 4*i + 0*g + 5 = 5*g, i + 5 = 2*g. Let b(r) = i*r**3 + r - r. Calculate b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*b - 3*g - 13, -3*g = 2*b + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*l + 55 + 81*l - 23 - 32 + 72*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-13 - 1)) + -3 + (-1 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -5722?\nAnswer: -5732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 729688660 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1150743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5238181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43051 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 1\/4, 684, 1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -28*v + 1204. Let p be k(43). Solve 4*u - 3*o = 5, p = -u - 8*o + 12*o - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {m: 1, n: 2, e: 1, q: 1, b: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 28*n - 2. Suppose -4*h = -0*h - 3*w - 25, -w - 23 = -5*h. Suppose 0 = t + h*t - 5. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0*j**2 + j**2 + (-751*j + 1507*j - 754*j + 263)*(-6*j + 4*j - 5*j).\nAnswer: -15*j**2 - 1841*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44 plus 939909?\nAnswer: 939910.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*a + 12*a + 53*a to t*a + u and give t.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20382*q - 61450*q + 11299*q - 7886*q.\nAnswer: -78419*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12600 is divided by 4197.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764482 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10552818 and 4718?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 r when four letters picked without replacement from yyyyrryruyryryyryyr.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0145 (b) 1687 (c) -4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 32 = 0. Suppose -d = -3*f + 29. What is the units digit of ((-24)\/f)\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 7 + 1\/3*3. Let v = 8 + -3. Find the third derivative of -6*l**2 + 0*l**2 - 4*l**6 - v*l**j wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 14, u: 2}. Give prob of picking 1 o, 1 v, and 1 u.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z - 3. Let h(c) = -3*c + 31. Let i be h(11). Give r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868659 is divided by 289480.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208802984*b*k**4 - 151563704*b wrt k?\nAnswer: -835211936*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**3 - 67*h**2 + 57*h - 24. List the prime factors of f(-17).\nAnswer: 2, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -0.00198\nAnswer: -0.30198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657890314 to the power of 1\/2, to the nearest integer?\nAnswer: 51555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**2 - 173*m + 854. Calculate i(9).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9261 + 9256.827. Let v = d - -3.9. Round v to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.389 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77))\/(sqrt(11) - (sqrt(11) - sqrt(44)\/(-5*sqrt(4)))).\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -81 and -86 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026? (a) -0.6 (b) 5 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465981727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14357, 18017, 27953, 47303, 79205, 126797, 193217?\n\"Answer: 523*t**3 - t + 13835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/127 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 42*h - 2. Let s be c(21). Let u = -0.1 + 0.1. Put 3, 1\/7, s, u in decreasing order.\nAnswer: 3, 1\/7, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 2*p**3 - p**2 + 2*p**2 + 4*p**3 to k*p**2 + g + h*p + r*p**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 - 3*q + 64. Let t be b(-8). Suppose 17*g + 1414 = t*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 7*b + 36. Let q be n(-6). Let t = 160 + q. What is the remainder when t is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 106166 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {w: 2, x: 4, c: 4, m: 7, q: 1}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/240 + 3*a**2\/2 + 4*a. Let m(v) be the first derivative of d(v). Factor m(r).\nAnswer: r**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*v = 13, -5*v - 9 = -0*t + 3*t. Let z be (5\/15)\/(t\/12). Suppose -40 = z*s - 3*s. Calculate the greatest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641302591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d*s*x + 4*d*x**4 - s*x**4 + 3*s*x**3 - 7*s*x - 3*x wrt x.\nAnswer: 48*d*x**2 - 12*s*x**2 + 18*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2. Let v(d) = 111*d**2 + 6*d + 34. Determine v(p(g)).\nAnswer: 111*g**4 + 6*g**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/102809 and 73\/4059796.\nAnswer: 539952868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15 = 6. Suppose -3*j + 4*j = -1. Put j, q, 5 in decreasing order.\nAnswer: 5, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5\/5 - 38*i**4 + 5952*i**3\/5 - 59392*i**2\/5 - 65536*i\/5 = 0.\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 + 5*j - 9. Let g be r(-4). Let i = 18 + g. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2915 - -2918. Solve -2*d - 4 = 2*g, -r*d - 4 = -7*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -0.1 (c) 3 (d) 2315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2247, 1, 2 in decreasing order.\nAnswer: 2, 1, -2, -2247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/((13\/13)\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = 2. Let x = -59 + 58. Which is the closest to q? (a) -2 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*x = 332*x - 4641 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 18*a = 4*w - 4, 2*a = -4*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.97 + -0.03. Let p = -3.95 - t. Let c = -0.35 - p. Sort 0.2, c, -4 in ascending order.\nAnswer: -4, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -49*r + 92. Let u be g(4). Calculate the common denominator of (3 - 4) + 38\/(-40) and 4\/u*-12*(-11)\/4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/192 and 23\/8616?\nAnswer: 68928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7353226 + -4?\nAnswer: -735322a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*l**3*o - 2*c**2*l*o + 63*c**2 + 9*c + l**3 + 10*l**2*o wrt c.\nAnswer: -4*l**3*o - 4*l*o + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/120 - 11*i**5\/60 - i**4\/2 - 7*i**3\/3 + 8*i**2. Does 6 divide r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m. Let t be (52\/(-6) - -4)*(-30)\/35. Let h(p) = -t*p - 8*p**2 + 5*p - p. What is h(q(w))?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 = 5. Let a = -161115 + 161114.9. Sort -46, c, a in decreasing order.\nAnswer: a, c, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104488?\nAnswer: 2, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 32*z**3 - z**2. Let m be n(1). Suppose m = d - 6. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-10)*((-8)\/6 + 2). Let b = 4 - j. What is the tens digit of (70\/b)\/(12\/(-36))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2048 and -85\/9918144.\nAnswer: 317380608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**4 + 4392*a**3 - 2*a**2 + a + 45813 wrt a?\nAnswer: 96*a + 26352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 4*p + 6 - 8 - 91*p**2 - 1.\nAnswer: -91*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 0.0367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 190 = d, 4*v = -3*d + 2*v - 549. Let q = 1249 - d. Round q to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -61, -93, -127, -163?\n\"Answer: -l**2 - 27*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38368 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3811 + 21989 = 0. What is h rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66904, -134170, -201436, -268702, -335968, -403234?\n\"Answer: -67266*w + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 95\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501781 is divided by 63.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 1, t: 4, u: 2}. What is prob of picking 2 u and 1 k?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000416582 to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*o + 126*o - 15930 = -59*o for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8)\/n**(-6))\/(((n*(n\/(((n*n*n**(-25))\/n)\/n))\/n)\/n)\/n**(-3\/5)) assuming n is positive.\nAnswer: n**(-769\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*k - 0*k - 6, -2*k + 4*s = -4. Suppose k*w = 2617 + 1469. Suppose -b - w = -4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 take away 30.976?\nAnswer: -54.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538468942.\nAnswer: 2, 11, 47, 520763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 7, o: 2, e: 3, n: 3, y: 1}. Give prob of picking 1 g and 1 e.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 5704*m - 14906096 = 0. Calculate m.\nAnswer: -7652, 1948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 492*n - 492*n - 20*n**2 + 16*n + 104*n**2 - 207*n**2 + 102*n**2 + (3*n + 2*n - 4*n)*(n + 4*n - 2*n) to the form y*n**2 + m + a*n and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75347*k - 37416*k - 34477*k.\nAnswer: 3454*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 108.6 and 7726.9.\nAnswer: 7835.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 208812920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(931) - (3*-1*sqrt(931) - sqrt(931)) - (sqrt(1900) + -2 + (sqrt(1900) - (sqrt(1900) - (-2 + sqrt(1900)) - sqrt(1900))))))**2.\nAnswer: -10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 2*j**2 - 1497 + 247*j - j**3 - 545*j + 298*j.\nAnswer: -j**3 + 2*j**2 - 1497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 5*n**2 + 2*n**2 + 4*n**2. Let y(b) be the first derivative of 49*b**2 - 1037. What is z(y(m))?\nAnswer: 38416*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(297\/1518))\/((-4)\/(-6))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14*(4\/50 + 194985\/1750) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10987423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 0.5 (c) -0.5 (d) -107 (e) 1\/3 (f) 8.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 6*t - t**3 - 8 + 3*t**3 - 2*t to n*t + o*t**3 + h + s*t**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 52365*x - 52365*x - 13*x**2. Let p(n) = 11*n**2. What is p(l(b))?\nAnswer: 1859*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27185200 divided by 49\nAnswer: -554800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91898, -183878, -275860, -367844, -459830, -551818, -643808?\nAnswer: -735800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228115243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 303933, 607427, 910921, 1214415, 1517909, 1821403?\n\"Answer: 303494*d + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 1, f: 3}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8*s**5\/5 + 11*s**4 + 31*s**3\/5 - 149*s**2\/5 - 131*s\/5 - 14\/5 = 0.\nAnswer: -1, -1\/8, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 5, 38, 107, 224, 401?\n\"Answer: 2*f**3 - 5*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h**2*r - 3*h**2 + 21762125*h*r**2 - 1151*r**2 + 18*r - 2993 with respect to h.\nAnswer: -10*h*r - 6*h + 21762125*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 332 + 108. Suppose -107 = 2*y + 3*u, 2*y + 175 - f = u. Is (-2)\/((-6)\/(-9)) - y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -181, -506, -833, -1162, -1493, -1826, -2161?\n\"Answer: -l**2 - 322*l + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.037, -0.3, -69\/4, -0.1 in decreasing order.\nAnswer: -0.1, -0.3, -9.037, -69\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2215.455 months to decades.\nAnswer: 18.462125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, -80, -7, 4 in increasing order.\nAnswer: -80, -7, 4, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*r = -14, 2*r + 7 = -5*l + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 3*c**2 - 3. Let v(b) = -119*b**3 - 4 + 2 + 7*b**2 - 5 + 121*b**3. Suppose 12 = 19*x - 17*x. Determine x*v(t) - 14*z(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2 + 0*c - c)*(-9*c + 5*c - 7*c).\nAnswer: 11*c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 732 - 378. Suppose l = 5*n - 626. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**2*u**3 + 4*s**2*u - 49543*s*u - 148170*u**4 + u**3 - 2*u - 3 wrt u?\nAnswer: 54*s**2*u - 1778040*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 + -3. Let u = -23.3 - -25. Let j = 2 - u. What is the biggest value in j, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237174863?\nAnswer: 3, 149, 2767729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*((4 + sqrt(275) + 1 + sqrt(275))**2 - sqrt(275)).\nAnswer: 475*sqrt(11) + 5627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -14. Solve 4*w + b = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145447.\nAnswer: 37, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose w*t - 84 - 40 = 0. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {d: 6, g: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(1\/2)\/o))**(24\/5)\/(o**(2\/5))**(-43))**(-30\/7) assuming o is positive.\nAnswer: o**(-732\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 15*o - o**3 + 2*o + 19*o**2 + 24. Let u be w(20). Suppose -5*d + 15 = 4*q + q, 2*q + u*d = 6. Solve 8 = f - q*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-41)\/((-164)\/(-30)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3862 - -3906. Calculate the remainder when 123 is divided by f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let x = 4 - u. Solve 0 = 3*f - 5*t - 7, x*f + t - 1 = 4*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1695 and -386.\nAnswer: 654270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (4 - (20 - 2)) + -26.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + q + 6 - 3*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8100 and 155250?\nAnswer: 931500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20 = -4*q, 438*q - 5*a = 439*q + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 + 0.1. Let h = -5.5 - n. Which is the second biggest value? (a) h (b) 2\/13 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2795 and 396965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11244 * -0.5\nAnswer: -5622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1292 and 121\/1422.\nAnswer: 918612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 101?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 6. Let b be k(3). Let x = 0.1 + -1.1. What is the closest to b in 2\/9, x, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = 12. Let m be (-1 + 1)*j\/(-3). Suppose d - 2*s = 73, m = 7*d - 2*d - 2*s - 381. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -369 and 19?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.42 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -198, -200, -206, -216, -230, -248, -270?\n\"Answer: -2*x**2 + 4*x - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**8\/840 + x**7\/210 - x**5\/30 - x**4\/12 + x**3\/2 + 2*x**2. Let l(m) be the first derivative of t(m). Factor l(g).\nAnswer: 2*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 678, 1491, 2622?\nAnswer: 4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 5. Let q be r(4). Suppose s - 3 = -u, u - s - 2*s = -q. Let h = 73 + -151\/2. What is the third smallest value in u, h, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m. Let l(j) = -j**2 - 4*j + 2. Let h be l(-4). Suppose 2*i - 3*s = i + 15, -2*s = -i + 11. Let v(f) = -3*f**2 - i + 2*f**h + 3. Calculate v(b(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*s + 24, 5*m + 6*s + 8 = 3*s. Let t(z) = -4*z**3 + 5*z**2 + 11. What is the units digit of t(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**5\/2 - 779*i**4\/2 + 773*i**3\/3 + 1039*i**2\/3 - 1555*i\/6 + 259\/6 = 0.\nAnswer: -1, 1\/3, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 11*z + 63. Let k be i(15). Suppose -5*b = -k*s - 376, 3*b + 5*s = 6*b - 216. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 - 17 = 0. Suppose -9 = 4*o - l*o. Solve -o*w + 6*w - 5*k - 16 = 0, 0 = w - 2*k - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.8. Let s = 0.01 - -0.29. Let f = s - k. Which is the third biggest value? (a) f (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*a - 362. Let i = 266 - a. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(9\/(-2))*(-3)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5082 or 9219?\nAnswer: 5082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 972 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 58\nAnswer: -13\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 3, b: 8, l: 2}. What is prob of sequence lt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3*8) - 11\/(-20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f)\/((f**1\/f)\/f))\/(f**(2\/15)\/f**(3\/7))*(f\/f**(-2\/11)*f)\/(f*f\/f**(-4)*f)*(((((f**(-1\/3)*f)\/f)\/f)\/f*f)\/f)**(-4\/9) assuming f is positive.\nAnswer: f**(-77816\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 15*a**3 - 16*a**2 + 5*a - 3. Calculate v(3).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 12*c - 31 = 0. What is the closest to -2 in 2, c, -3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*c - 85, -2*p + 2*c = 68 - 10. Is 14 a factor of (0 + -2 - p) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590725.\nAnswer: 3, 5, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**28\/q)*q\/q**(-28))**(-6\/11) assuming q is positive.\nAnswer: q**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*a - 431*a = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 - 80. Find the second derivative of 47*h**3 - l*h**3 + 9*h - 3*h**4 + 9*h**4 wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(24 + -21). Suppose r = -6*i - 26*i + 4608. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 19*g + 167. Determine a(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 331 - 2255 = 2*w, 3*w = -4*g + 1553. What are the prime factors of g?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13878 + -13877.815. Sort -1.2, 4, 0.2, q, 0.1.\nAnswer: -1.2, 0.1, q, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175791530 rounded to the nearest one million?\nAnswer: 4176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -24, -29, -36, -45, -56?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w - 3. Let f(s) = 11*s - 7. Suppose -3*l = 4*a - 71, -33*a + 36*a - 27 = 3*l. Give a*g(c) - 6*f(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10498959898253 - -1\nAnswer: 10498959898254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaf when three letters picked without replacement from jffffuukjaaaaf?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 (base 12) in base 13?\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.5516kg in milligrams?\nAnswer: 196551600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuqq when four letters picked without replacement from ddudqqdquqdqdqaudu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)\/(q**13\/q) assuming q is positive.\nAnswer: q**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 + 7*s + 5. Let n be u(-8). Suppose 5*v = -3*y - 234, 3*v + y + n = -y. Let d = v + 134. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 70\/(-75))*-5. Let p = -1.2 - -5.2. Which is the closest to v? (a) 0 (b) 2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2589 divided by -120090\nAnswer: 863\/40030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 3*k + 8*k + (2*k - 3 + 3)*(1 - 2 + 2) + k - 2 + 2.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53349 and -0.3.\nAnswer: -16004.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 4*q - 0*q. Calculate the greatest common factor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8\/7)\/((d\/(d\/d**(-3\/4)))\/d)*d**(-1\/4)\/(d\/((d**2*d)\/d)*d) assuming d is positive.\nAnswer: d**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*n = -14*n + 2755. Let p(u) = u - 53. Calculate p(n).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 11:19 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(11\/(-10)) + 0)*2. Let v be (-10)\/(-1142)*(88\/b)\/11. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52532013 (base 6) to base 2.\nAnswer: -101110111000011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 277971 and -0.7.\nAnswer: -194579.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + 76634 + 11*o**3 - 76632 + 10*o**3 + 3*o**3.\nAnswer: 16*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -24*l**2 - 2 + 4*l - 2*l + 32*l**2 - 3*l. Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfr when three letters picked without replacement from rvrvvvvrf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-20))**(4\/37)*u**(-23)\/(u*u\/(((u*(u**(-2\/35)*u)\/u*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(-33954\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.705101 milligrams?\nAnswer: 2705.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(1408))\/((1*sqrt(88))\/sqrt(8) - -2*sqrt(176)))**2.\nAnswer: 2048\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*r + 4 = 0, -3*j + 22 = r + 3*r. What is the first derivative of 0 - j*i**2 + i**2 + 0*i**2 - 1 wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Find f such that 3*f**5\/2 - 313*f**4 - 5381*f**3\/2 - 4768*f**2 - 1302*f = 0.\nAnswer: -6, -2, -1\/3, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 515*l + 125402. Give g(-245).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3\/2*w**2 - 10\/3*w**3 - 3 - 11*w + 1\/4*w**4. What is the units digit of d(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 70*v - 1268\/9.\nAnswer: 2*(v - 317)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*s - 15, -4*n + n + 4*s - 43 = 0. Let v = n + 17. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408179636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -31. Let c = 21 - l. Suppose 0 = -4*x - c*y + 157, 3*x + x = 2*y + 142. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 - 12*u - 8. Let x be w(5). Let s = -41 + x. Let h = -95 - s. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-60 - (-58 + 55 - (-4 - 15)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*r - 171. Suppose 8 = -31*w + r*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 - -13)\/((-36)\/10). Which is greater: j or 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 185.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(2\/39)*w*w))\/(w*w*w*w**7*w)*w**(-1\/4)\/((w**(-5)\/w)\/w) assuming w is positive.\nAnswer: w**(-671\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (2 + 8 - 3)) + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 509157388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 + (1 - -1). Suppose 2*y - 119 - 15 = q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - x = -2*x + 15, x + 3 = -2*w. Let f = -159 + 792\/5. Sort f, w, 3 in decreasing order.\nAnswer: 3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83450 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 4 + 1 - a. Let o(g) = 2*g + 2. Let z(t) = -7*t**3 + t**2 - 1. Let w be z(1). Let c be (-1)\/(((-3)\/5)\/(-3)). Determine c*k(r) + w*o(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 3*l + 5*l + 2 - 56 + 56 - 86*l + (-3*l + l + 0*l)*(1 - 3 + 4).\nAnswer: -89*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43143200500 + -1?\nAnswer: 43143200455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205159254 to the nearest integer?\nAnswer: 14323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 10101?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.30443 and 0.0567172.\nAnswer: 4.3611472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18ba1b - -2?\nAnswer: -18ba19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 5:06 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-20)\/(-285))*8\/3. What is the highest common divisor of 114 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -233*u - 1002. Sort -79, 3, 2, u, -5 in descending order.\nAnswer: 3, 2, u, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.082 or -7?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 40*z - 41*z + 31 = 0, -1040 = 5*k + 3*z - 1150 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 355578491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let n(s) be the second derivative of -s**5\/20 - s**4\/4 + 6853*s. Let x be (-12)\/(-16) + 86\/(-8). Give x*c(t) + 2*n(t).\nAnswer: -2*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3071\/8 + -1918\/5. Find the common denominator of -31\/960 and y.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.86*-0.15\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 924 - -16390493.\nAnswer: 16391417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30144 is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373 + -262. Let z = x - 110.8. Let h = 62 + -62. Put -5, z, h in ascending order.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = h + 2*h. Put h, -3, -38, 3 in decreasing order.\nAnswer: 3, -3, h, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -1254, -1979?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 1128. Suppose 3*s = 2*a - 348, 2*a + 4*s - p = -0*a. Let u = a + -90. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**2 + 7*i - 2. Let u be (90\/(-150))\/((-2)\/20*2). Let l(x) = 5*x**2 + 3*x - 1. Give u*b(c) - 7*l(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2 - (8 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*c + 3*b, -3*c + 3*b = -0*c + 6. Suppose 0 = -0*s - 5*s - 5. Let k = -173 - -175. What is the closest to -1 in s, c, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 10*y**2 - 538 + 414*y - 5*y**2 - 2*y**2 + 121 = 0?\nAnswer: -139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2 + -1)\/((-6)\/16332) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3404*y - 29 = 3405*y - 2*p, p - 19 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*z**4 + 10*z**2 - 10*z**2 + (-5*z + 2*z - z)*(4*z**3 - 2*z**3 + 3*z**3) + z**3 - z**3 + 6*z**4.\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-60)*2*(-200)\/100.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -485?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*h)*(0 + 2*h**2 + 0) + 2*h**3 - 5*h**3 + 1924*h**2 - 1956*h**2.\nAnswer: h**3 - 32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from xrrrlxlarrvlxlrvfr.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.5. What is the third biggest value in -3, c, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1061 and 2.\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 793.\nAnswer: -10\/793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1863, 1860, 1857?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0740723431 + 198219.\nAnswer: 198218.9259276569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 51. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 3*f + 0*f + (0 + 3 - 2)*(-2*f + 0*f + 3*f) - 6*f + f + 2*f + (4346 - 8677 + 4354)*(3*f - f - 4*f).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -76 + 76 - 2*m**2 - 2*m. What is a(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2 - 739*p + 5995 wrt p.\nAnswer: 2*p - 739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h - 3564 - 2674 = -2168 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 184657124 and 13.\nAnswer: 184657137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/23441 and 47\/42933?\nAnswer: 91490223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**3 - 2*z**2 - 32*z. Let p(l) = -l**2 - 1. What is 2*p(j) - s(j)?\nAnswer: 9*j**3 + 32*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 2760. Let r be m(0). Suppose -7*i + 3*i - r = 0. What is i rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1064469681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1302 and 125\/246860502.\nAnswer: 246860502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuduywuuuwwdyuuuuy. What is prob of picking 2 u and 1 w?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 30*v + 4. Let j be 8\/(-24) - ((-170)\/(-6))\/v. Suppose -3*t - 4*i = -8, -t + 4*i = -i - j. Solve 2*n = t + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46 and 1838.\nAnswer: -84548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.35, 8\/17, 4, 2\/3?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*g - 16, 5*g - 9 = -5*b + 1. Let k be (-42)\/10*90\/(-9). Suppose 3*c - k = 2*c. Calculate the highest common divisor of b and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -11*f - 4. Suppose -f*o = o - 60. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 11*n + 9 = 0, -r + 4 = -n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - w + 4 = 0, -2*i = -2*w - 0 + 2. Let r be (-1 + i + 3)*3. Let t be (2\/8)\/(1\/4). Which is the nearest to t? (a) 3\/8 (b) -0.6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 340*n**2 - 8*n - 6*n - 342*n**2 + 1 to c*n + h + l*n**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 197*w + 35. Let b be z(2). Suppose -2*m = -d + 202, -18*m = 2*d - 17*m - b. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 13. Let k(j) = j**3 + 7*j**2 + 13. What is the common denominator of k(z) and -67\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:41 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(9\/(-54)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-7 + (-51)\/(-6))) + (-1773)\/(-6). Is j >= 1173\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 9. Let w be m(6). Suppose 21 = 3*y - w*k, 3*y + 0 - 19 = k. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -28.99?\nAnswer: -8.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3535257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 34 - 21)*(10*p - p - 2*p).\nAnswer: 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755439971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12407630421\/1505 - -8244273. Let g = -2\/215 + l. Let w be 3*(-2 + 160\/78). Which is the second smallest value? (a) 3 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*a - 623*a + 396 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2234*-1546\nAnswer: 3453764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65409\/8, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/30 - 2*n**2. Let y(o) be the third derivative of 0 + 0*o**3 + 0*o**4 + 0*o - 1\/60*o**5 + o**2. Determine y(a(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.243 + 0.743. Suppose -j = 5*q + 3, -2*j = 2*q + 5 - 7. Which is the nearest to -0.1? (a) q (b) u (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134880*w - 38720 = -135320*w for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 1 - 12)*(1 - 1 - 3)*(33*v**5 - 35*v**3 + 35*v**3).\nAnswer: 2277*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 6. Calculate f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 3\/3 + 52. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -130, -267, -408, -553, -702, -855?\n\"Answer: -2*u**2 - 131*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3*z\/(z\/(z**(-1)\/z)))**(-7\/2))**(-29) assuming z is positive.\nAnswer: z**(203\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 267, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6*-2 - (-1 + -22). Suppose -3*d = z + 67, -d - 2*z = 3 + q. Is d < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -475, -415, -357, -301, -247, -195?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108510 is divided by 52659.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 117\/45)\/(-3). Which is the nearest to 39? (a) 2 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 6 - 10. What is the common denominator of 81\/4 and o + -3 + (-53)\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 9. Let j be m(5). Suppose 13 = -2*u - 3*u - r, 2*u + j = -4*r. Let w(k) = -k**3 - k**2 - 2*k + 1. Give w(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 155*v**6\/6 - v**4\/2 - 163*v**3\/3 - v**2\/2 + 489. Find the third derivative of m(q) wrt q.\nAnswer: 9300*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.238 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0318 - 0.0218. Put -3, 5, 0, d in descending order.\nAnswer: 5, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/22 + -1 + 86\/(-11). Let s be ((-18)\/(-60))\/((-18)\/k). Which is the closest to -1? (a) 0.02 (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (-13)\/(-2) - (-10 + 9) and 21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 308*q + 2. Let x be l(3). Let h be (-2 + 7)\/(2\/8*-1). Calculate the common denominator of -91\/12 and (-1)\/5 + x\/h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 80*v + 1146. What is the remainder when 12387 is divided by s(-22)?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 43 = -5*o, -5*t - 3068 = -2*o - 2993 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 200 = -2*r. Let w = -16 + r. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-513)\/18*16\/(-6) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48906*1228.\nAnswer: -60056568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 373, 379, 401, 445, 517, 623, 769?\n\"Answer: o**3 + 2*o**2 - 7*o + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29431068.9471 + -29430626.947099857. Let c = -442 + a. What is c rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 3*t**3 - 10*t + 40*t + 3*t**3 - 28*t. What is b(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -1.2. Let v = -4.5 + -1.5. Let w = 6.3 + v. Which is the nearest to 0.1? (a) w (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7714417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 2*k - 2. Let u be t(1). Let o be (u - 84\/32)*-4. What is the closest to -3 in 3, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - -1) + (-11 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/2 + 86656008*c - 1251543953749344 = 0. What is c?\nAnswer: 28885336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 615695749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 66395578 and -4.38056.\nAnswer: 66395573.61944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 - (-72 - -7) - 3. Suppose 0 = f*b - 1274 - 71743. What are the prime factors of b?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -136 and -0.628.\nAnswer: 85.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 99*c**2 - 1966*c + 110. Determine u(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 2*q - 11. Suppose -o = -2*i - i, -3*i = 3*o. Give y(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159\/(27348\/(-13760))*(-1)\/(-4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2152 and 17754?\nAnswer: 71016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152905.53ns in minutes?\nAnswer: 0.0000025484255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 10*s + 25\/2*s**2 + 5\/2.\nAnswer: -5*(s - 1)**2*(2*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3137?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 7*b - 2. Suppose n + 2*n + 15 = 0. Give d(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, n: 5, k: 2}. Give prob of picking 1 n and 2 k.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 divided by -1228653?\nAnswer: -395\/1228653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3854 + 7653 + 2*o - 3846.\nAnswer: 2*o - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1.2965 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54516115741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 76918810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 368 - 32. Suppose -y*i = -23*i - 85. What is the remainder when 49 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**2 - 45*f**2 - 3*f**3 + 156*f**2 - 39*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 28. Let q = -30 - -42. What is the smallest common multiple of k and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 + 11*l**2\/2 - 4*l. Find the first derivative of m(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126309286 + 0.\nAnswer: 126309286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -406, -12, 2\/15?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 652965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:27 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5967 = -42*g. What is the least common multiple of g and 85?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2352 and 48018726?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -54. Calculate the smallest common multiple of 6 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847.065 years to months.\nAnswer: 10164.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 7*u**2 - 11*u + 5. Give p(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/44 and 69\/2756?\nAnswer: 30316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320294321?\nAnswer: 29, 4127, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - p**3 + 44310*p**2 - 44310*p**2 + 1181 to c*p**2 + g*p + a + w*p**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -27743\nAnswer: -45\/27743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.072 - 20.003848. Let s = u + 0.331853. Let n = s + -0.4. What is n rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4\/5, 0.39, 0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157343742.\nAnswer: 2, 3, 2913773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/8, -380667, -4, 3, 2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*i + 5438, -2*a + 0*a = -4*i - 5442. Suppose 6*o = 17*o - a. What are the prime factors of o?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 + 54*l - 386. Let i be b(6). Suppose -4*z + 47 = -33. Calculate the greatest common factor of z and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = -129*w + 44 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 10010748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 208*q + 212.\nAnswer: -4*(q - 1)*(q + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, 5, 22?\n\"Answer: 17*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 27*m + 180 - 12*m - 46. Let u be x(-7). Is 3 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 2\/27, 3, 36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 11, s: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 4 = 5*c - 5*q, -c + 5 = q. What is the second derivative of 3*z**2 + 8*z + 8*z**3 + z**3 + 2*z**c - 45*z wrt z?\nAnswer: 66*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let v = 427 - 422. Let r(t) = -v*t + 12 - 10 + 5*t + 0*t + 56*t**2. Calculate r(z(n)).\nAnswer: 224*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 519313 and 56159?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**4 - 2120*o**2*t**2 + o*t**2 - 2*o + 2*t**2 + 1489*t wrt o.\nAnswer: 48*o**2 - 4240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -23. Let v(h) = -h**2 + 2*h + 15. Let p be v(w). Let g = p + 45. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3407 + -5?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 8. Let n(w) = 8*w - t*w - w. Let g(k) = 5269*k + 5276*k - 10544*k. What is g(n(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100200 (base 3) to base 4.\nAnswer: -33132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -12*a + 50. Suppose -2*k - 2*h = -266, 0*k = 4*k + a*h - 529. Calculate the remainder when k is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-12)\/9*3. Suppose 3*k - 16 = -i*m, -5*k = -0*k. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*n + 20, -5*n - 1335 = 2*h - 664 - 661 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 3*a**2 + 2*a - 2. Suppose 0 = 95*w - 99*w - 12. What is v(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 873*t. Let p(z) = z. What is n(p(s))?\nAnswer: 873*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 856*g**2 + 2*g + 427 wrt g.\nAnswer: 1712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*p + 78*p - 39084 = 2496*p + 1201*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36, -34, -32, -30?\n\"Answer: 2*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 + 2) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281975448 + 36*d + 28*d + 27*d - 89*d + 281975448.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2743610 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/23)\/(611\/14053). Solve 5 = 5*h + m*k, -6*k + 8*k - 12 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.3 + -14. Let j = -6.3 + w. What is the biggest value in j, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-12 - -22) - (-4 + (2 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.056, 71, -4, 12 in decreasing order.\nAnswer: 71, 12, 0.056, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -548*b + 9. What is the tens digit of u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2)\/(-4)*660\/(-15). Does 6 divide 48\/(-132) - 13560\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**21\/g)\/(g\/(g**8\/g*g*g))*(g**(-3\/8)\/g)**15 assuming g is positive.\nAnswer: g**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -661048?\nAnswer: -661037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x + 440. Let w be d(-36). Suppose 3*a = -a + 4624. Suppose w*u - a = 4*u. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50256 smaller than 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -10 - -1*3. Suppose v = -9*c + 4*c + 185. Suppose -2*u = 3*u - 50. Calculate the remainder when c is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032916 = 14623*o + 736467 for o.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -16644275.27.\nAnswer: -16644275.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/4*n**2 + 3\/4*n**3 + 0*n + 27.\nAnswer: 3*(n - 6)*(n - 3)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((266\/(-21))\/19)\/(((-16)\/(-6))\/(-2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 184\/(-7) + 4\/14. Let f be (b\/(-6))\/((-3)\/(-12)). Let i = -566\/33 + f. What is the closest to -2\/5 in i, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1 = -4*u, w + 6 = 2*w - 2*w + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**3 - 23*p - 4*p**3 + 1 + 44*p - 18*p in the form s*p**2 + b + g*p**3 + a*p and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 + -2 + 16 + 125\/(-2 + 3). Calculate the highest common factor of 533 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k + 5*t = 6, 78 = 5*k + t. Suppose -10 = 3*y - k. Solve -5*m + 15 = 2*a, -11 = -3*m + a - y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 3*z - 12*z + 17*z. Let m(u) = -135*u - 2. Determine m(w(r)).\nAnswer: 270*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 74 = -3*x, -16*j - 22*j + 13*j = 4*x - 20 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 41 - 47 - 37 - 3*x as y*x + o and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**(2\/19))**(-47)*(j**0)**(-45)*j**(2\/13)\/j*j*j*j**(-1\/2)*j assuming j is positive.\nAnswer: j**(7\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -f, 5*f + 3*t = -0*t + 16. Let d be (-314)\/(-16) - (-78)\/208. Let h be d*3*f\/12. Solve k + 8 = h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50788905413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 127442.3181 to the nearest one hundred.\nAnswer: 127400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = -q. Let y be ((-156)\/8)\/(q\/6). Find the third derivative of -y*l**2 - 6*l**4 - 4*l**4 + l**4 - 6*l**2 wrt l.\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l - 40. Let u be (10\/1)\/(8\/4). Calculate the remainder when y(u) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4104)\/399)\/((-4)\/14). What is the second derivative of 0*g + 0*g + 45 - k*g**5 - 2*g + 205*g**5 + 38 wrt g?\nAnswer: 3380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9059.\nAnswer: 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-46597)\/68)\/((-1)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 112 - 230)*(7*q - 3*q + 0*q) + (3 + 3 - 3)*(2*q - q + 0*q - q + 3*q + 0*q + (-3 + 3 - 2*q)*(3 + 0 - 4) - q + 6*q - 3*q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-1)\/4 - -1. Let l be (-48)\/10 + -1 + 6. Which is the nearest to q? (a) 3\/2 (b) 4\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3977.2 - -3977. Let f be ((-9)\/(-15))\/(7\/(-10)). Which is the closest to m? (a) f (b) -0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 25. Let s = b + -6. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 29. Let z = 16.0236 - 0.0236. Let q = b + z. What is the third biggest value in -1, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/4)\/((-33)\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.308591 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87742 + 34822 = -140*s. Which is greater: s or 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148542720 rounded to the nearest 100000?\nAnswer: -1148500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 - 4*c**2 - 63*c**3 + 31*c**3 + 28*c**3 - 3*c - 11. Let j(z) = -5*z**3 + 4*z**2 - 4*z - 11. Let x(t) = -3*g(t) + 2*j(t). Does 15 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48073 millilitres in litres?\nAnswer: 0.00048073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-d + d + 2*d)*(6*d - d + 0*d)*((-2 - 2 + 6)*(-4 - 2*d + 4) + 37*d + 2*d + 33*d).\nAnswer: 1360*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48034869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/8 - (-1)\/2. Suppose 6*n - 3*x = 3*n, 0 = -2*n + 3*x - 4. Suppose -p = -5*c - 4*p + 464, 352 = b*c - n*p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1291, 2568, 3845?\n\"Answer: 1277*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g**2 + 3 - 14*g**2 - 27*g**2 to h*g**2 + m + f*g and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38 + (5 - (2 + 1)). Let x be (24\/z)\/((-9)\/(-10)). Let -2\/3 + x*a + 2\/3*a**2 - 2\/3*a**3 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/5))\/((i\/((i*i**(-1\/2))\/i*i))\/i)*i**5*i**0 assuming i is positive.\nAnswer: i**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -82\/11?\nAnswer: -82\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -13952.\nAnswer: -89\/13952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010001100 (base 2) to base 8.\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 24*q - 19 = 2*w, 5*w - q + 13 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 10. What is b(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3367*y + 90887. What is g(-27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/6)*o*(o\/o**4)\/o)\/(o**(2\/23)\/(o\/(o**16\/o))) assuming o is positive.\nAnswer: o**(-2243\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9217 > -9232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 16) to base 5\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51616, 51726, 51918, 52198, 52572, 53046?\nAnswer: 53626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 25*v - 17. Suppose -2*n = 3*p - 3, -2*p + 10 = -0. Let w(t) = 6 - 4 + 3*t - 4. Let q(b) = n*g(b) + 51*w(b). Let k(x) = -x**2. Give q(k(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6117270 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 62*c + 176. Is u(60) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-25)*(-50)\/4. Suppose -z + g = z. Solve -2*b = -4*f - 14, -2*b - z*f = -0*f + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5 - k**2 + 0*k**2 to the form t + h*k**2 + x*k and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 6\/7, 15.19 in ascending order.\nAnswer: 1\/13, 6\/7, 15.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -17992.\nAnswer: -67\/17992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -117\/5*u**2 + 1\/5*u**3 + 648*u + 2160 = 0.\nAnswer: -3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-81)*-18*(8\/(-216))\/(2\/24).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/38)*v**9)\/(v**(-2\/9)*v**(2\/45)\/v*v) assuming v is positive.\nAnswer: v**(17449\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = w + 22, w = -2*w + 5*u - 16. Let j(i) = 3*i**3 - i**2 - 2*i. Let q(x) = 4*x**3 - 2*x**2 - 3*x + 1. Calculate w*j(a) - 2*q(a).\nAnswer: a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -91, -8\/59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-35)*2619\/388?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.30719 rounded to 1 dp?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**3 + 5*y**2 + 5*y + 4. List the prime factors of d(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 256049.\nAnswer: -6\/256049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let c(j) = 181461*j**2 - 374*j. Calculate c(z(k)).\nAnswer: 725844*k**2 + 748*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12551062*1.4.\nAnswer: 17571486.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 910059 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 2*s - 1. Let z be j(-1). Let o = 7 - z. Suppose -41 = -o*d + 153. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-278)\/(-42))\/(83\/249)*7.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25908525157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)**32*u**4*u**(2\/3)*u*u)\/(((u**(1\/3)\/u*u*u)\/u)\/u**(-1\/5)*u**6*u**(1\/6)*u) assuming u is positive.\nAnswer: u**(929\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h, z + 22 = -0*z + 5*h. Suppose -z*n = -28 - 62. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 1)*(-37 + 40 - 32).\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 4*l**2 + l + 3. Let z(x) = -x**2 - x - 1. Let g(a) = 7*a**2 + 3*a + 6. Let m(b) = g(b) + 2*z(b). Let v(c) = -4*k(c) + 3*m(c). What is v(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.15 + 6.55. What is the closest to -2\/3 in -0.3, 0.28, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c06b2 + -4?\nAnswer: c06ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/260)\/((-6)\/20)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40584 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, u: 4, j: 2}. What is prob of sequence jj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 2330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 0.1 (c) 0.67 (d) 1\/8 (e) 1\/5 (f) 0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/19 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2902464)\/(-1152))\/((-2)\/(-52))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35319 * 0.188.\nAnswer: 6639.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 651*l**3*r + 2*l**3 - 825*l**2*r wrt l?\nAnswer: 3906*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 13*x + 8. Give a(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v - 2. Let j be s(3). Let o be (-54)\/6*j\/3. Let i(p) = -6*p - 1. What is i(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 156. Suppose 7*u - 39 = 4*u. What is the remainder when j(27) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -23*b + 17*b + 11 + 55*b. Suppose 4*h - 9*l = -4*l + 17, 27 = 3*h + l. Is r(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -29, -35, -45, -59, -77, -99?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3) + 0)**2 + -4) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -71*x - 25*x + 65 - 85. Let f be c(-14). Let k = f + -22514\/17. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 + 14*y**2 - 6*y + 22. Let j(o) = -o**3 + 2*o**2 - o + 3. Let a(h) = 2*g(h) - 15*j(h). Determine a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3135 and -36.\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 26*p + 3315. What is v(-113)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21597059?\nAnswer: 11, 1963369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 0*j + 6*j + (-9 + 10 + 13)*(2*j - j - 5*j).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/7)*c))**(-14\/11)\/(c**(-1\/4)\/c*c**(-3))*(c**3*(c*c**(-1\/5))\/c)\/(((c\/(c\/c**3))\/c)\/(c*c\/(c\/(c**(-1\/3)\/c)*c)*c*c)) assuming c is positive.\nAnswer: c**(4013\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8016060 and 167\/6630?\nAnswer: 136273020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 + 4*o - 1. Calculate the remainder when 296 is divided by h(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -19. Let c = 13 - 11. Suppose -12 = -c*p + 4*p. Is p equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + r + 5*r - 3*r in the form k*r + d and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319426.\nAnswer: 2, 59, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 580 - 280. Let s = 394 + n. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1051 + 441624?\nAnswer: 442675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 13*s**2 + 14*s + 2. Let v be h(14). Suppose 0 = -v*j + 7*j. Solve j = 3*t + 10 - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -29*y - 4*y + 2138683. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 283*s**3 - 3*s**2 + 2*s - 5. Let h be j(3). Suppose -5*q = -5*d - 89590, 2*q = d + 2*d + 35839. Let f = h - q. Round f to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58042710 a multiple of 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 650 or -11\/1229?\nAnswer: -11\/1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 787872*j**3 + 68445.\nAnswer: 2363616*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/3 + 4*s**3 - 46*s**2\/3 + 20*s - 25\/3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by (-14)\/(-70) + (-248)\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggf when four letters picked without replacement from {g: 6, f: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - -1) + (2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(2\/5)*f*f)\/f))\/(f\/((f*f\/((f*f**9*f*f)\/f)*f)\/f))*f\/(f\/((f*f**9*f)\/f*f)*f)*f**(-3\/7)*f assuming f is positive.\nAnswer: f**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33111504 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -770 (base 13) to base 8\nAnswer: -2372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -108.18 and 2?\nAnswer: 110.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51856404 + -10.95.\nAnswer: -11.46856404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 14 - (-54 - -15 - -30) - 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 12. Suppose u = r + 1. What is the third derivative of 3*j**2 - 4*j**5 - 5*j**r + 3*j**5 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 0.0497.\nAnswer: -0.05964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 + -72. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)*i\/((i**(5\/4)\/i)\/i)*i*(i**(-1\/7)*i)\/(i*i**4))**21 assuming i is positive.\nAnswer: i**(-873\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 118\/5. Let p = i + 1\/5. Is 0 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 10.59 (b) -84 (c) 0.4 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 9*w - 7. Let m be x(-8). Let o = m + 18. Let r = 11 - 15. Which is the closest to 1? (a) 4 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s + 0*s**3 + 0 - 19\/24*s**4 - 15*s**2. Let c(k) = -2*k. What is c(d(z))?\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 32 - (47 - 61)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53954, -108437, -162916, -217391, -271862, -326329, -380792?\nAnswer: -435251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -1682*u**2 + 153010*u + 4732 = 0.\nAnswer: -26\/841, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + 38*x**3 + 16*x**3.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 - 5 = 0. Suppose 0 = -b*c + 4 + 4. Let a(x) = -3*x**2 + 3*x - 2. Give a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-404)\/((-261792)\/270)*1\/((-5)\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 64 = b. Suppose 5*j - 31 = 9. Let u be 2\/j + 4\/b. Put 3, u, -2 in descending order.\nAnswer: 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 172951984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*p - 168113 + 125986 = 0 for p.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3)*0)\/(-1). Suppose l - 3 = n, l + 9 = -5*r + 2. Let h(t) = -2*t + 1. What are the prime factors of h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2196)\/(-122))\/(4\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(0 + 5)*(-15)\/(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43309 times 2?\nAnswer: 0.86618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.1. Let g = 92 - 95.08. Let v = g + 0.08. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117453427.\nAnswer: 43, 25987289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-3 - (2 + -3)) - (48 + -43).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - 3*u + 37, -5*u - 64 = -3*o. Let r = o + 2. Calculate the remainder when 58 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1380 and 19730596?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2103351442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2. Suppose -5*z - 25 = -q, -3*q = q - z - 5. Let a(n) be the third derivative of 0*n**4 + q*n + 2*n**2 + 0*n**3 - 1\/30*n**5 + 0. Give y(a(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 4, -16, -44, -80, -124, -176?\n\"Answer: -4*q**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29886\/9 - 22\/33. What is the second derivative of -v**5 + v - y*v**3 + 3320*v**3 + 54 + 27*v**4 wrt v?\nAnswer: -20*v**3 + 324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 259*t - 103*t - 2808 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:06 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1) + 0\/(-7). Let c(i) be the second derivative of -i**5\/20 + 5*i**4\/12 - i**3\/6 - 2*i**2 - 14*i. Give c(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a**3 - 7*a**2 + 26*a + 62. Calculate the remainder when n(-2) is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/140 (b) 0.4 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15164 + 4431. Let k = -976744\/91 - g. Let x = k + 4\/13. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 262857, 525714, 788571, 1051428, 1314285?\n\"Answer: 262857*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13343 (base 5) to base 9\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -40140 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*l + 67 - 67)*(3 - 3 - 3*l + (-4 + 6 - 4)*(0*l - l + 2*l) + 0*l - 3*l + 2*l - 2*l + 1 - 1 + 0*l + 2*l + l).\nAnswer: -130*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 - 140. Let f(q) = 0*q - 4 - 3*q + 2 + 5. Calculate f(b(z)).\nAnswer: -3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33c92 (base 14) to base 8.\nAnswer: 366010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:17 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 128100.\nAnswer: 128100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483580 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/319 + (-3)\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 58 - 138 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*s - 3*s + 19, -3*s + 4*g = -11. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1140 - a - 1140.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a factor of 266670844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2138596 and -383.6.\nAnswer: -2138979.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.7 + -21.738. Let u = 0.038 + l. Which is smaller: u or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.14 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 11. Let q be (-93)\/(-21) + (-3)\/7. Let a be g(q). Suppose 0 = a*z + 130285 - 379285. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -6259674 to the nearest 10000.\nAnswer: -6260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**3\/11 - 74*l**2\/11 - 148*l\/11 - 48\/11 = 0. What is l?\nAnswer: -4, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/6 + (-7)\/(-2) + -6. Factor -1\/4*b + 0 - b**4 - b**2 - 3\/2*b**u - 1\/4*b**5.\nAnswer: -b*(b + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*p - 62, -q = 3*p - 39 + 132. Let m = 31 + p. Suppose m = -5*g + 5 + 5. Solve -6 = u + g*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.203 and 2?\nAnswer: 0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:39 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 5*h - 158, 3*t - h = 220. Let m = -11 - -30. What is the remainder when t is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 23 = 15. Suppose -2*y - 3*y + 4 = 2*s, 4*s + 3*y = 8. Calculate the smallest common multiple of b and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119109.98 rounded to the nearest 1000?\nAnswer: 1119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(119)*-1*6)\/sqrt(7).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u - 24. Let h be x(-7). What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55672 and 3?\nAnswer: -167016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2\/9 (c) -4 (d) 266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112021221 - -100002022?\nAnswer: 212101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 + 739.058595682.\nAnswer: 738.828595682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y = 10. Let l(o) = 2 - y - 2*o + 1 - 12*o. Let s = 486 + -487. Calculate l(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 - -180.1. Let s = -12 + 7. Which is the second smallest value? (a) t (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f - f)*(-1 + 7 + 0).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 20*u - 209 = -4*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9163765 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -162*n**5 - 4338*n**4 - 6954*n**3 + 6106*n**2 - 1100*n = 0.\nAnswer: -25, -22\/9, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.357 - 17.2. Let w = -0.088 + a. Let z = 2.069 - w. Which is smaller: z or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 543, 1782, 4193, 8166, 14091, 22358, 33357?\nAnswer: 47478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 16226.5\nAnswer: -292077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1394, 132, 0.4 in decreasing order.\nAnswer: 1394, 132, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdpp when four letters picked without replacement from pgodppgxogghdho.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37581, 37579, 37575, 37569, 37561, 37551?\n\"Answer: -q**2 + q + 37581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 183409*l**4 + 181981*l**4 - 27 + (-l**3 + 0*l + 0*l)*(4*l - 2*l + 3*l) to the form a*l + d*l**3 + u + n*l**4 + z*l**2 and give n.\nAnswer: -1433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*w = -8, 0 = 3*w + 1 + 2. Let v = 3 + -3. Suppose v*s + 4*s = 80. Calculate the highest common divisor of s and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 664190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) 2 (c) -1\/3 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 2, i: 6, d: 1}. Give prob of sequence dii.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -53480 divided by -5\nAnswer: 10696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/(-24)*(-132 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/9 + 12)\/((-28)\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -302507195 divided by -5\nAnswer: 60501439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 5. Let q(o) = -11*o - 1 + 3*o + 3*o + 6*o. Let r(h) = -5*q(h) + y(h). Let t(w) = 2*w - 213. Calculate t(r(n)).\nAnswer: -2*n - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74b6a7 + -62?\nAnswer: -74b739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45190122 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 11*z - 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50101 - 5?\nAnswer: 50052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*v - 48*v + 2220. Calculate the remainder when 488 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15813537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 64. Is 21 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2, 3\/230, 351, -4, 1?\nAnswer: 3\/230","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6002 + -38?\nAnswer: 5b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2829242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1700 - 893. Let j = 840 - y. What is the greatest common divisor of 363 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 22*r + 35. Let a be i(20). Let w(q) = -q - 6 + 2 - 6. Calculate w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2232.01 and -146.7736?\nAnswer: 2085.2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 30*d**2 + 105*d + 227. What is q(-8)?\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*m + 48, 5*m + 37 = 3*u + 171. Let r = m + 20. Calculate the greatest common divisor of r and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -0.1. Let o = -0.6707 - -0.3707. What is the nearest to j in -4\/3, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let f be 2 - (-2 - -1) - 1. Let i(s) = -s - s + s**f - 1 - 3. Suppose -14*q + 13*q = 1. Calculate q*i(x) + 4*m(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 2110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 14 + 5 - y - 23*y**2 - 4 in the form w + t*y + x*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 437622.8cm in nanometers?\nAnswer: 4376228000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:41 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 355375*k**2 - 177689*k**2 - k**3 - 177685*k**2 + 2705*k in the form t*k + h*k**2 + q + s*k**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.66 + 0.26. What is the closest to -2\/7 in -3, i, -0.06?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9416*o - 6626*o = 1642*o + 742728 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122139 (base 12) in base 13?\nAnswer: a3a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32376 and 4260.\nAnswer: 161880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k**2. Suppose -2*a = -5*r - 2 - 11, 2*r - 2 = 0. Suppose 15 + 48 = a*b. Let d(y) = 1 - 8 + b - 2*y. Determine d(n(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14464 divided by 2\nAnswer: 7232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -2\/17, -13, -1\/27, -0.2?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/(5\/(-2) + 2). Let y be t\/(-2*(-2 + 3)). Let d = y - 12. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2138 divided by -56\nAnswer: 1069\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798 + 6*j**3 + 3*j - 798.\nAnswer: 6*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:38 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -102*f + 5912. Let j be v(52). Calculate the greatest common factor of j and 2888.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y + 165. What is the remainder when f(16) is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/(-10) - 11\/(242\/(-110)) and (-1)\/(-1) + (-6248)\/5696.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q - 9*q + q - 10*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 0.13 (c) -9\/8 (d) 33 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10755, 42995, 96735, 171987, 268763, 387075, 526935, 688355?\nAnswer: 871347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32.555*3993\nAnswer: 129992.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 - -125. Let a = m + 121. Let d = -32.3 + a. Round d to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -110*t**2 + 13*t - 2. Let q(a) = -55*a**2 + 6*a - 1. Give -6*o(x) + 13*q(x).\nAnswer: -55*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 43. Let k be v(13). Suppose k*r + 7 + 0 = -t, 5*t - r - 70 = 0. Calculate the remainder when 46 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34892044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6126048 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:32 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 1, v: 1, p: 1}. Give prob of picking 1 v, 1 q, 1 p, and 1 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2374, 10074, 23100, 41452, 65130?\nAnswer: 94134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 169*l + 18. Let b be j(6). Suppose -4*f + 5*z = -739 - 277, 4*f = z + b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10351862 is divided by 66358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67103 by -1.\nAnswer: 67103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f**2. Let g(b) = 2*b**3 - 4*b**2 + 15. Let q be g(5). Suppose -10 = -2*h - 0. Let w(i) = -165*i - h*i**2 + q*i. Give w(x(k)).\nAnswer: -320*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4306792nm?\nAnswer: 0.0004306792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**2\/2 + 2*b + 3. Let h be r(2). Let y be 5\/(-1) - 21\/((-420)\/152). Is y not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(93\/((-7161)\/110))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.542432 hours in minutes?\nAnswer: 452.54592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-42) + (-9)\/(-21). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + 3*z**2 - z - 2. What is the units digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 388331.055?\nAnswer: 388331.055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 2, b: 1, v: 2, a: 1}. What is prob of picking 1 j and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 258 + 834 = 0. What are the prime factors of h?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2769.06624 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.24 - 0.22. Let w = l + 1.04. Let v = w + -0.06. Sort v, 5, -1.\nAnswer: -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 51. Let l(s) = -3*s**3 + 5*s**2 - 4. Let d(u) = u**3 - u**2 + 1. What is a*d(v) - 3*l(v)?\nAnswer: -3*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) -67 (d) -1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1931, -1978, -2057, -2168?\n\"Answer: -16*j**2 + j - 1916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5*w + 10. Determine l(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*v = -683*v + 438*v - 4825 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 67*p**2 + 170*p**2 - 130*p**2 - 9*p**2.\nAnswer: -36*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 271\/7 - 39. Suppose 4*k + 0*n = -3*n - 12, n = -5*k - 4. Let h = k + -1. Is w smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**3*o**(-2\/23)\/o*(o\/o**(-1\/6))**(-29) assuming o is positive.\nAnswer: o**(-4267\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (616\/726)\/(177\/(-649)).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h**2 - 95*h**2 + 184*h**2 - h**3 in the form u*h**2 + k + w*h + l*h**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/36*(-5)\/20.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163305 is divided by 32621?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/20 and -137\/276?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 36599?\nAnswer: -36599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 101, 85, 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796054 is divided by 159208?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 387016*l**3 + 258012*l**2.\nAnswer: -l**2*(l - 129006)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 44 = 54. Suppose 0 = -w*x + 35 + 15. What is the remainder when 15 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23579*b**3*s**2 + 5*b**3*s + 1786*b**3 + 2*b**2*s wrt s?\nAnswer: -47158*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1331, 0.3, -20922?\nAnswer: -0.1331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d + 2404 = -534 - 680. Solve 69*m + 2 = d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1485)\/495)\/((-3)\/7) - 85\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nup when three letters picked without replacement from {n: 2, q: 1, f: 5, u: 2, c: 6, p: 3}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 + 675*b**3 - 726*b**2 - 10908*b - 13560 = 0. Calculate b.\nAnswer: -226, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)*t*t**10)**6 assuming t is positive.\nAnswer: t**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.2286271288573 - -0.1.\nAnswer: -64.1286271288573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 1134*h + 159307. Give m(126).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 12. Let q be i(7). Let g be (q\/3*6)\/(-2). Differentiate -g - 3 + 13 + 8*w**3 with respect to w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:23 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (6 - (6 + 3)). Suppose -c + 5 = -0. Suppose 11 - 2 = -3*s. Put s, c, i in descending order.\nAnswer: c, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/641 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ded + -1?\nAnswer: -dee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - s**4 + s**4 + (0 - 1 - 2)*(2*s**4 + 4*s**4 - 5*s**4))*(-1 - 2 + 7 + (0 + 2 - 1)*(1 + 4 - 3)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4824*g**4 - 39*g**2 - 5 wrt g?\nAnswer: -115776*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + 55\/(-15). Let i = 5 + p. Suppose n**i - 8 + 18 + n**2 + 8 - 12*n = 0. What is n?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59666, -60793, -61920, -63047, -64174?\nAnswer: -65301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-126))\/(2\/(-6)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2589.863536 and 4491.78?\nAnswer: 7081.643536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:30 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254323 - -3285090193\/12917. Is j > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 101. Let u be f(25). Let k be (-5)\/(-7) - 4\/(-14). Calculate the greatest common divisor of u and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 62 = 5*p - c, 4*p - 5*c = 58. What is the remainder when 21 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286545?\nAnswer: 3, 5, 7, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 27*b**2 - 90*b + 315 + 32*b**2 - 91*b**2 + 27*b**2 = 0?\nAnswer: -21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 10 + 6)*(2*v**3 - 2 + 2)*(-75*v + 82*v + 37 + 1) + (3 - 1 - 3)*(3*v**4 - 3*v**4 + 2*v**4).\nAnswer: 54*v**4 + 304*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 + 200454*o**2 - 221*o + 18884367.\nAnswer: -4*o**3 + 400908*o - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f + 7 + 0*f - 4*f - 2 wrt f?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - z**2 - 2*z + 924. Does 5 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 3, i: 1, a: 2, l: 4}. Give prob of picking 2 y and 2 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8164 is divided by 636.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3481597 - 1740800 - 1740797 + 403*r**2.\nAnswer: 403*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/12 + (-2)\/(-2). Suppose -18 = 7*r - 39. Suppose 0 + 0*w + 1\/4*w**r + s*w**2 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19257, 38355, 57449, 76539?\n\"Answer: -2*s**2 + 19104*s + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 23 - 33 - 27 - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070115 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2270 + 5397. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4277)\/7*1*(-3 + 2). Let k = s - 259. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v - 1300 - 300 = 163*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 + 6*w**2 - 6*w + 2. Let t(k) = -5*k**3 - 7*k**2 + 7*k - 1. Let y(j) = 4*i(j) + 3*t(j). What is y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1831905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(152) + 6*(-2*sqrt(152) + sqrt(152)))\/(sqrt(16)\/(sqrt(8) + (sqrt(16)*1)\/sqrt(2))) + 4.\nAnswer: -20*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.42 - -7.4199941593. Round u to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4885 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.6529 - -84.6. What is z rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109220 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -86.6. Let r = 0.06 - 1.26. Let c = r - h. Which is smaller: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5447, 5444, 5419, 5372, 5303?\n\"Answer: -11*a**2 + 30*a + 5428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 561.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 0.23. Let s = j + -0.4. Let i = -0.19 - s. Which is the second smallest value? (a) 2 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)*y)\/y**(-3)*((y\/(y*(y\/((y\/(y*y*y\/(y\/(y\/((y*y**(-3\/4))\/y)))))\/y))\/y))\/y)\/y*y**(-2\/9))**(49\/3) assuming y is positive.\nAnswer: y**(-15827\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1 + sqrt(325))*3 - (1 + 0 + sqrt(325))) + -5)**2.\nAnswer: -120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 556898 divided by -2\nAnswer: -278449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s + 29. Let q(z) = 5*z - 19. Let b(t) = -5*i(t) - 8*q(t). Let r(m) = -11*m + 15. Let k(y) = -9*b(y) + 4*r(y). Calculate k(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:26 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, l: 4}. Give prob of sequence cc.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let w(d) = -3 + 22*d**2 + 6*d**2 + 7*d - 4*d. Let u be w(k). What is the highest common divisor of u and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*u = 35, 5*q + u = -0*u - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**4\/24 - a**3\/6 - 3*a**2. Determine q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329 - 176 + 341)*(5*a**4 - a + a).\nAnswer: 2470*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/27*(6\/(-4))\/1. Suppose u*t + 2*t - 24 = 0. Solve 0 = y + 3*f - 6*f - 12, 5*f = -3*y - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -27 - (17 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1995989, -1995981, -1995973, -1995965?\nAnswer: -1995957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3040*5.\nAnswer: 15200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 247*p - 3168. Determine h(-67).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10236, 10227, 10214, 10197, 10176, 10151?\n\"Answer: -2*l**2 - 3*l + 10241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.489 + -0.209. Let c = z + -5.58. Sort 2\/3, -8, 2\/9, c in ascending order.\nAnswer: -8, c, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*f + 3*l - 325, 333 = 3*f - 3*l. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 114, 3\/4, 5, -1, 235 in descending order.\nAnswer: 235, 114, 5, 3\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 189 = -8*l. Let n be (1701 - l)*(-50)\/8. What is n rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 1\/2, 5, 30 in increasing order.\nAnswer: -11, -3, 1\/2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2275 - 2293. Let d be (0 - -3)\/((-3)\/10). Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 181?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 645322 to the power of 1\/2, to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 84. What is the second derivative of -63 - 20 + d**4 + 13*d**o + 23*d**2 + d + 15 wrt d?\nAnswer: 12*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 112. Let v = m + -69. Let p = -5 + 1. Sort -0.08, v, p in decreasing order.\nAnswer: -0.08, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -157, -12\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -12*h**2 - 192 - 111*h - 39622*h**5 - 548*h**3 + 679*h + 228*h**4 - 32*h**2 + 39602*h**5 + 8*h**2 = 0?\nAnswer: -1, 2\/5, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.55 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 12*s**2 - 13*s - 21. Calculate i(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-278)\/((-44)\/(-33)*3\/(-22))?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/20 - 5*q**4\/12 + q**3\/2 + 15*q**2\/2 + 6*q. Let l be w(-5). Is (1 - l)\/(-1)*-127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)\/y)\/(y*y*y**4))**(8\/3) assuming y is positive.\nAnswer: y**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4301 divide 602376555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*h**2 - 2*h + 708*h**2 + 2*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qst when three letters picked without replacement from qsfsfsftqqqstfqt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwxiwiis. Give prob of sequence wix.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**34)**(-18))**(-2\/71) assuming l is positive.\nAnswer: l**(1224\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - s - 5 + 2*s**2 + 50*s**3 - 2*s**2 - 59*s**3 to w + r*s + a*s**3 + n*s**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/9))**(2\/15) assuming q is positive.\nAnswer: q**(-2\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeeddeeeededeeed. Give prob of sequence de.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 14*s**2 + 19*s + 25. Let y be i(-10). Suppose -4*r + 201 = -175. What is the highest common divisor of y and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-5)\/9*-3. Let y = a + -3. Suppose -y*v = v - 12, -3*c - 2*v = -35. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142736 is divided by 3244.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -6 + (1 - 32). Let i = 36 + t. What is u in 20*u**5 - 2*u**i + 10*u**2 - 36*u**5 + 0*u**4 + 18*u**5 - 6*u**3 - 4*u = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/60 + p**2 + 9*p. Factor f(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1\/163, -0.5, -120?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 138?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 316*n - 313*n + 7040, -5*n = 0. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(1300) + sqrt(1300) + 1))**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**2 - 14*g**2 - 13*g**3)*(-209 + 97*g + 209)*(-4*g + 5*g - 2*g).\nAnswer: 1261*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3\/3 - 3*w**2\/2 - 107. What is the tens digit of u(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*w - 306, -3*w - 408 = -0*o - 4*o. Suppose 5*j - 13 = o. Let p(u) = 4*u**2 - 15*u + 27. Calculate the remainder when j is divided by p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 - 10735134*y + 21470280 = 0. Calculate y.\nAnswer: -3578380, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82533 (base 9) to base 13.\nAnswer: 1b9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 - 2*n - 1. Suppose -6*m = -3*c - 4*m - 4, m = -4*c + 2. Give t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/10 - v**4\/6 - 9*v**2. What is the second derivative of u(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1975 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 + l**2 + 6*l + 6. Let p(w) = -7*w**3 + w**2 + 5*w + 5. Let x be 544\/40 + (-4)\/(-10). Let a be (-4)\/x + 66\/(-14). What is a*t(b) + 6*p(b)?\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 1\/4*m**4 - 8\/3*m + 3\/5*m**5 - 16 - 26\/9*m**3 - 14\/3*m**2. Let x(v) = 0. Calculate v.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4153 - -39120. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -32, 1, 3, -4, -3, 402, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -5051353?\nAnswer: 5051400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 210\/(-9)*2\/((-24)\/5321). Let h = 10341 - k. Find the common denominator of h and 10\/(-8)*(-20)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, m: 3}. What is prob of picking 3 m and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 49 (b) -9077 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36956 minus -5?\nAnswer: -36951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3928176 and -19\/81837?\nAnswer: 3928176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(7\/5) assuming y is positive.\nAnswer: y**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 - 3*j**2 + 0*j**2)*(0 - 3 + 4) + 5 - j**2 - 7*j + 7*j in the form h*j + n*j**2 + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 30. Suppose 2*v + 5 = w. Let z be 6*v*8\/3. Calculate the greatest common divisor of 96 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.56 and 7699?\nAnswer: 19709.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {o: 2, d: 6, q: 1, u: 2, n: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 6. Let k(i) = -5. Let v(o) = 4*c(o) + 3*k(o). Let l be v(0). What is the greatest common factor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -2*(-2 + 4). Find the second derivative of -55*c**4 - 90*c**5 + m + 55*c**4 + 2*c - 86*c**5 wrt c.\nAnswer: -3520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 2*b - b + (-4*b + 7*b - 2*b)*(0 + 1 - 3)*(4 + 1 - 3)*(15 - 53 - 19) in the form r + j*b and give j.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39a27 + -1?\nAnswer: 39a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 - 217 = -66*z + 1361 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-120)\/50)\/((-1)\/(-5)). What is the second smallest value in t, 6\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**2 - 5*b + 1. Let y(g) = 5*g**2 + 3*g. Let p(n) = -3*x(n) - 5*y(n). What is the derivative of p(a) wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 7*g**2 + 6*g + 84. Let t(r) = -2*r**3 - 2*r**2 + 2*r + 9. What is -3*t(c) + y(c)?\nAnswer: 2*c**3 - c**2 + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 319539 divided by 9683?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-5)*(-16)\/48?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 0.0492122407.\nAnswer: 0.0492122407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9929018ng to micrograms.\nAnswer: 0.0009929018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 1. Let v(a) = 5*a**3 + 3*a**2 - 3*a - 3. Let q(b) = 6*b - 6*b**3 - 4*b + 2*b + 8*b + 4 - 8*b - 4*b**2. Give s*q(d) - 4*v(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 1 (b) -0.2 (c) 4\/11 (d) -2.6 (e) -0.07 (f) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -5*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1109, -0.09, -0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-4) - 3\/6. Suppose h = f - 20. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3 - 3)*-72. Let y(w) = w**3 + 33*w**2 + 33*w + 89. Let q be y(-32). Let m = z - q. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c\/(c**(-1\/3)\/c*c*c*c))\/c)\/c)\/c*c)\/(c**(2\/17)\/c))\/(c*c\/(c\/(c\/(c*c**(-1\/9))))*c**(-2\/15)\/c*c))**(-23) assuming c is positive.\nAnswer: c**(48599\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -1\/336*f**8 + 1\/120*f**6 + 0*f**4 + 0*f - 1\/210*f**7 - 4*f**2 + 1\/60*f**5 + 0 + 0*f**3. Factor t(b).\nAnswer: -b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3\/7, -0.5, 275?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/11 (b) -10122 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 18*s + 6.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1691*q - 8445. Give r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*m, -4*l + 5 = -14*m + 11*m. Solve 0 = -5*y + z - m, -2*y + z - 2 = 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125454 = 10*i - 2654. Let b = i - -18261. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-352)\/(-110) + -4)\/(1 + (-2542)\/2540) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**3\/45 - 7*n**2\/5 + 44*n\/15 - 107. Factor c(b).\nAnswer: -2*(b - 1)*(b + 22)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.21 + -16. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l + 4*l - 70 + 119 + 8*l - 59. Calculate h(23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74 in 20\/3, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 16 = -2*m. Let y(w) = 0 - 3 - w**2 - 2*w**m + 7*w**2 - w**3. Calculate y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36078926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + 0*q)*(1 - 5 + 5) - 2*q + 0*q + 0*q + (-4*q + 13*q - 2*q)*(-2 + 1 + 2).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -294 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2021 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60, -141, -364, -801, -1524, -2605, -4116, -6129?\n\"Answer: -12*v**3 + v**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 1 = -33*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*(75\/(-10))\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13630, 27267, 40904?\n\"Answer: 13637*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10717 + 10741. Solve -w*o + 309 = 261 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651500815 a multiple of 1815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) - (0 + sqrt(13) - sqrt(13))**2) + sqrt(13) + sqrt(13)*1 + -5.\nAnswer: -5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in -0.3, -4, -0.04, -593\/7, 2, 0?\nAnswer: -593\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 k, and 1 y when three letters picked without replacement from rittyrrktiryyy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101125 (base 6) in base 11?\nAnswer: -38109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 174930.\nAnswer: -1\/34986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + s - 1. Calculate the least common multiple of 4 and x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3643 (base 11) to base 13\nAnswer: -2228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 6*q + 4. Let x = 840 - 863. Let y be (0 - -1)*-30 + 3. Let l = y - x. What is t(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 461 - 664. Let m = 124 + n. Let q = -79.3 - m. What is q rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1546, -3082, -4620, -6160, -7702, -9246, -10792?\n\"Answer: -z**2 - 1533*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = -5*a + 9*u + 21, 2*a + 4*u - 18 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11859549883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79261, 317045, 713351, 1268179?\n\"Answer: 79261*h**2 + h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 2) + 5 + -3 - -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2410 - 111462?\nAnswer: -114202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-15)*l**16*l)**(-2\/83))**(-44))**49 assuming l is positive.\nAnswer: l**(146608\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1034 (base 6) to base 14\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2432)\/(-672) - (-40)\/(-12)) + 72\/(-203). Let i = -1.7 - 0.3. What is the fourth smallest value in i, b, 1.1, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21070\/17727 - -65\/57. What is the common denominator of -4\/3421 and y?\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2032 and 1?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/1*10\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/15 - 8*m**4\/3 + 10*m**3 + m**2 - 420*m. Suppose g(q) = 0. What is q?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13825612*w**2 - 8688351*w wrt w?\nAnswer: 27651224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -127\/8 and -5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*y = -17565, -3*z - 277*y + 273*y + 13205 = 0. What are the prime factors of z?\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-40)\/(-5) - 4) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 12. Let y be h(10). Suppose i = -f + 3*f - 87, 0 = y*i + 6. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/113768 and -11\/227536.\nAnswer: 227536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f + 56 = -54*f. Let t = -46 - f. Solve 2*k = -r - 4, k + 2 = 2*r + t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(528) - sqrt(528) - (sqrt(297) - sqrt(297)*2))\/(sqrt(300)*-2*1 + sqrt(300) + sqrt(300) - (sqrt(300) + sqrt(300) + -2*sqrt(300)*-2)).\nAnswer: 7*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1099 and 10.\nAnswer: 10990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**3 - 7*g**2 - g + 2. Let t be z(-2). Solve 56 = 24*n + t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 5, h: 1, p: 7, e: 4, d: 1}. Give prob of picking 1 h and 2 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -0.3826807.\nAnswer: -0.4826807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/14 - -4\/7. Let g = -0.7 + 4.7. What is the second smallest value in -2, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 5. Let o be y(0). Solve o*i - i - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 + 397.02.\nAnswer: 396.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*w - 27, 3*o - 15 = 5*w + o. Let j be ((-8)\/(-28))\/(w - 48\/(-14)). Which is the fourth smallest value? (a) -5 (b) 3\/7 (c) j (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108222688363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10194 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1942798361280 - -140551747450505654\/72345. Let g = 2\/14469 + b. Suppose 1072\/5*m**3 - 128*m**4 - g*m + 84\/5*m**5 + 128*m**2 + 0 = 0. What is m?\nAnswer: -2\/3, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12474\/2772*(-28)\/9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p. Let f(r) = 2826*r. Give f(y(n)).\nAnswer: 8478*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aal when three letters picked without replacement from nlnacacl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = -4*d. Suppose 5 = -d*z - 15. Is -4 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssj when three letters picked without replacement from {j: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 5*a = -17, 0 = -5*l + 324*a - 329*a + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 6, u: 8}. What is prob of picking 1 m and 1 u?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37539 divided by 2?\nAnswer: -37539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1))**6\/(n*n**(2\/7)*n*n**(2\/9)\/n)*(((n\/(n\/(n*n*n**(-2\/7)\/n*n*n)))\/n)\/n**1)**(31\/4) assuming n is positive.\nAnswer: n**(577\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f*f)**21\/((f*f**(-2)\/f*f)\/f**4)*(f*f**5*f**(-4))**(-22) assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x + 8 = 0. Suppose x*y = 3*y - 26. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/36 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -68. Solve 0 = -4*p + a + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -20. Let k(q) = -c + q**2 + 0*q**2 + 86*q - 89*q. Calculate k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87089 times 1.4\nAnswer: 121924.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1529, -6355, -14399, -25661, -40141?\n\"Answer: -1609*u**2 + u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/8, -3\/5, 1699, -2\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189\/1276 - 4915057\/16588. Let n = r - -296. Which is the closest to 0? (a) 1\/8 (b) n (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 59. Let x = p - 42.1. Is x > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/7 (c) 0 (d) -192 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j. Let z(y) = 11*y**2 - 8*y. Let p(w) = 4*w**2 - 3*w. Let g(m) = 8*p(m) - 3*z(m). Determine g(b(n)).\nAnswer: -289*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 45*y**2 - 29*y - 21. Let g be a(-23). Calculate the common denominator of g\/(-78) + 298\/420 and 11\/18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o - 3. Let v be t(2). Let q be (-10)\/(-25) + v\/5. What is the derivative of 1 - 3*w**q + 3*w**3 - w**4 wrt w?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91.96 + 1.04. Let q = x + -140. Let c = q - -46.999939. What is c rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0 - -2) + 127. Suppose -22 = 5*n - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0*s**2 + 20*s + 0 + 0*s**3 - 5\/12*s**4. Let g(w) = 4*w - 76 - 2*w + 76. Give g(d(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1270*k**3 - 2 + 387*k**3 + 0 + 0.\nAnswer: 1657*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457 = -817*v + 770*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**5\/180 - g**4\/72 + g**3\/9 - g**2\/2 + 4*g. Let s(c) be the first derivative of y(c). Suppose s(o) = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 82*w**2 - 2*w + 49. Let t be k(-41). Put -2, t, -7, 0 in descending order.\nAnswer: t, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1794103850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 54 = -4*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35\/6, -162, 2\/5, -118?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from dgsdgdgdgg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 11*z + 13*z - 3)*(-4 + 7 - 2) to d*z + c and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26 - -0.3. Let c = -1105 + 1118. Suppose 0 = -c*g + 9*g + 6*g. Is b not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7865969\/6 + 1305283. Let z = q + 5688. Find the common denominator of -67\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1772\/53 + -7\/106. Find the common denominator of z and (-139)\/(-18) + 4\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -n - 4, -2*f + 2*n = 4*n - 12. Let c(v) = 4*v**2 - 5*v**f - 2 - 5*v + 4 + 4*v. What is c(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5cc092 (base 13) to base 8.\nAnswer: -10373020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:43 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13*u + 24 = 0. Suppose 2*b + 4*n = 12, -12 - 20 = -u*b + n. What is the highest common factor of 90 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*u = -3*u + 2385, -3560 = 3*v - 4*u. Let z = 408 + v. Calculate the common denominator of 94*(z\/192 - -4) and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 71 + 71.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -24, 42\/25 in decreasing order.\nAnswer: 31, 42\/25, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 5*(-6*(sqrt(153) - (sqrt(153) - (0 + sqrt(153) + 0 + sqrt(153))))*-3 + 5))**2.\nAnswer: 27000*sqrt(17) + 4957825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 383 and -1.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28516448, 57032894, 85549340, 114065786, 142582232?\n\"Answer: 28516446*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 12*t - 15. Let g be n(-10). Let b = g - 1. Suppose 0*c = c - b. Solve v = c*q - 20, -2*q + 2*v + 7 = -3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 735 = -2*l + 763, 2*l - 4*v = -28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2028 and (-10171)\/17052 - 8\/232.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 220*s. Let k(v) = 11*v. Let u(q) = -121*k(q) + 6*o(q). Let i(d) = d. Give u(i(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/5)*i*(i\/(i\/((i*i**6*i*i)\/i)))\/i*(i\/(i*i**(-1\/2))*i)**(2\/29) assuming i is positive.\nAnswer: i**(1233\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*h = -3*x, 5*x = -3*h. Let f(w) be the third derivative of 0 + 0*w + x*w**4 - w**2 + 0*w**3 - 1\/150*w**5. Determine g, given that f(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1822 = 3*m, -3*m + 3*u - 258 - 1548 = 0. Let y = -596 - m. What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/300 + 13*t**4\/30 - 21*t**3\/2 - 2*t**2 + 619. Factor l(s).\nAnswer: -(s - 45)*(s - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2*1 + (-4*sqrt(171)*-1 - sqrt(171) - sqrt(171)))\/(sqrt(4032)\/sqrt(7)*5))**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3588, 3597, 3620, 3657?\nAnswer: 3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 635.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Suppose 0 = -3*a + p*t - 5, a + 3*a + 4*t = 4. Suppose -60 = -18*j + 3*j. Solve -12 = j*x - a*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1435, -1556, -1675, -1792, -1907, -2020?\n\"Answer: y**2 - 124*y - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 = -1. Is 0 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 130 - 22 = 0. Let o(r) = f + 14*r - 5*r - 4*r - 4*r. Suppose 0 = -d + 1 + 4. Let c(b) = 2*b + 5. Give d*o(g) - 4*c(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = 10*g. Let o(d) = d**3 + 6*d**2 + d + 8. Let k be o(-6). Sort k, 4, 5, g in decreasing order.\nAnswer: 5, 4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843, -845, -849, -855, -863?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by -2.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (15\/(-5) + -2). What is the second derivative of 7*p**5 + x*p + 9 - 13*p**5 - 9 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d - 2. Let j(x) be the first derivative of -5*x**2 - 3*x + 8. Let o(t) = 5*j(t) - 4*u(t). Find the first derivative of o(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64457689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -5)\/(-23 + 22)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*v - 307 - 1085. Suppose -3*d = -5 - 4. Suppose a - d = v. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 53. Which is bigger: -14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28431 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275495, 1101980, 2479453, 4407914?\nAnswer: 6887363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/19401 and 23\/1561?\nAnswer: 135807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-842)\/(-2947)*(-1)\/(1\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 524, 1160, 1872, 2660?\nAnswer: 3524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5) + 12 + (-4 - 4). Suppose -u*a + 266 = 170. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * -30164.\nAnswer: 1568528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 times -28218\nAnswer: -7054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91563 is divided by 512.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*d - 11 = 0, -4*p + 19 = 3*d - 6. Suppose -2*n - 4*g + p = -8*g, 3*n - 5*g = 6. Suppose 4*y - n = 3*a, -4*a + 5*a = -y + 11. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 2.6939, 3, -0.2, -1524, -1?\nAnswer: 2.6939","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91145823.\nAnswer: 3, 17, 1787173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2945311597 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g**2 + 3144*g + 4520 = 0.\nAnswer: -10\/7, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(3 - (-2)\/(-2)). Let i be 1 + 0 + j\/(-2). Solve -o + 3 = -i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6775 - 6801 = q + 5*w, -3*q = -9*w - 42 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -20, -63, -142, -269?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -131588 + 131588 - 1346*c**4 - 3587*c**4 - 2*c**4 + c**4 + 3*c**4 + (0*c**2 + 3*c**2 - 4*c**2)*(4*c**2 - c**2 - 2*c**2).\nAnswer: -4932*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -1 - (428 + -423)) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126009 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 34.9. Which is the second smallest value? (a) -0.2 (b) k (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 19*x**2\/3 + 190*x\/3 + 56.\nAnswer: -(x - 12)*(x + 1)*(3*x + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2419 < -2421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -228*x - 4120. What is the thousands digit of v(-54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzpzppp. Give prob of picking 1 z and 2 p.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -106269 rounded to the nearest one hundred?\nAnswer: -106300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 4\/7, 1\/2, -3\/2, 8 in increasing order.\nAnswer: -141, -3\/2, 1\/2, 4\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 15115*m - 12830*m - 6742*m in the form x*m + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, y: 2}. Give prob of sequence vvy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 959520.5 millennia?\nAnswer: 95952050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 41. Which is the closest to n? (a) 0 (b) 2\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 18, g: 1}. Give prob of sequence cg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.31 + -88. Let r = l - -0.81. What is the closest to 1 in 3, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34540103?\nAnswer: 13, 421, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 4*t + 14. Let l be -4 + (-2 - (-1 - -2)). Let y be b(l). Does 13 divide y - (-8 + (-8)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23929*m + 69. Let j(b) = 2991*b + 9. Let c(s) = -23*j(s) + 3*w(s). Let g(t) = t**2. What is c(g(f))?\nAnswer: 2994*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q - 1037 - 52 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 53 - 38 = a, -5*a - 4*b - 39 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 698032547455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.430731864 to five dps.\nAnswer: 0.43073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214 and 15899558.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76969 + 76889.9918. Let d = 79 + l. What is d rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-10)\/(-15))\/(10\/(-5))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -849691 or -22.5?\nAnswer: -849691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**3\/21 + 2*n\/7 + 11. Factor c(i).\nAnswer: -2*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-15 + 16 - -5) - 10) + 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 54. Let o = -5 - c. Suppose 2*r + 10 - o = 0. What is the least common multiple of r and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 17 = -1. Suppose -3*x - 10 = s. Which is bigger: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6300*s + 6266*s = -204 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32680 by 21.\nAnswer: -32680\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/3 + 164*z**2\/3 - 3520*z\/3 + 6400\/3 = 0.\nAnswer: 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Let z = 2 - 3. Let g be z\/(-3) - (-70)\/6. What is the greatest common divisor of g and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 885*p - 493*p - 784 = 0. Solve p*u = m, -143*m + 144*m + 4*u = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 35*i**5 - 69*i + 48. Differentiate w(a) wrt a.\nAnswer: 700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-15)*s*s**(-1\/8)*s*s**7*s*s\/(((s*s*s**(-17)*s)\/s)\/s))**(-35) assuming s is positive.\nAnswer: s**(-3605\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4 - o**3 - 142*o**2 + 264*o = 0.\nAnswer: -6, 0, 11\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026*g - 1023*g - 24 = -4*u, 2*g - 8 = 0. Let n(t) be the second derivative of 12\/7*t**2 + 10\/21*t**u - 1\/21*t**4 + 0 - 5*t. Factor n(c).\nAnswer: -4*(c - 6)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*f + 15 = 0, -f + 9 + 5 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 161*w + 479. Let d be y(3). Solve 0 = n - d*f + 21, 9*n + 5*f - 18 = 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 + -74. Let s = k - 35.00043. What is s rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 + 2*z**2 - 5*z**2)*(0 - 3 + 2 + (-1 - 1 + 0)*(4 + 0 - 2)) in the form p + h*z + v*z**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -349, -1138, -2675, -5212, -9001, -14294?\nAnswer: -21343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 458 = -34*h + 37*h, -15*h + 530 = 5*x. What is the highest common divisor of x and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwerwie. Give prob of sequence iwr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10\/7 (b) 0 (c) 3\/5 (d) -11\/3 (e) 173 (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + 49 = 2*g, 5*u + 23 = 4*g. Suppose -4*k + k = -g. What is the third derivative of 2*m**2 + m**k - m**4 + 7*m**4 + 6*m**2 wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23848, 23838, 23828, 23818?\n\"Answer: -10*z + 23858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 462?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*z + 181*z = -365*z - 9350 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 not equal to 166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Suppose 4 = -m - 1. Sort m, -3, b in descending order.\nAnswer: b, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -52*c - 5095. What is l(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 10*q + 48 - 38*q + 6*q.\nAnswer: 2*(q - 8)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2923)\/444)\/(-79)*-16*63\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4499.0927 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:56 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/20)\/((-2)\/(-8)). Let f be (1 - i)\/(12\/6). Let v(b) = 4*b - 1 + 3 + 4*b**2 - 5*b**2 + f*b**2. Give v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 9*z + 9. Let x be k(9). Solve 0 = -4*i - 4*b + 1 + 3, -i = 5*b - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 700 = 3*h, 5*h = -2*x + 588 + 579. Suppose 28*c = 557 + 71 + 464. What is the remainder when h is divided by c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 21 = 3*i, i - 12 + 5 = -3*b. Suppose s = 4*n + 18, -b*n - 22 = -4*s + 50. Is s < 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518189129.\nAnswer: 613, 845333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737433?\nAnswer: 3, 81937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1296 - 1523.4. Let n = f + 227. Which is the third biggest value? (a) 3\/29 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -53. Let p be -5 + b\/3 - (-2 - -4). Is (-51100)\/(-15) - 2\/p 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 6:39 PM and 11:28 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/15 + 22*y**2 - y. Let t(g) = 5*g. Determine t(z(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 5*a**2 - 6*a + 3. Let f be i(6). Suppose u - 5*d = 4*u + 8, f*d + 4 = -2*u. Solve -4*q - 4*k - 10 = 10, u*q - 12 = 4*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-90) - (-4)\/10. What is the highest common factor of 26 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**4\/8 - 3*w**2. Let i(c) = -167*c - 159*c + 488*c - 159*c. Calculate n(i(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 10*i**2 + 12*i + 13. Let j be v(-11). What are the prime factors of (112\/(-21))\/(j\/(-15))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 114. Let u = -92 + y. What is the remainder when -1 + 258\/9 + 4\/u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452783033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16)\/(33\/44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 * 6395.\nAnswer: -498810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1273788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 6, x: 1, k: 6, l: 1}. Give prob of picking 1 t, 1 x, and 1 l.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 4*l**2 + 24*l**2 + 2 + 0 + l**3 + 4*l as u*l + p*l**2 + o*l**3 + f and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a2a (base 13) in base 6?\nAnswer: -120402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:03 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**6\/360 + d**5\/120 + d**4\/8 + d**3 + 6. Let x(l) be the third derivative of r(l). What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -22122022?\nAnswer: -22122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2051 - 782 + 2061 - z.\nAnswer: -z + 3330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, -152 in descending order.\nAnswer: -1, -19, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 4 (c) 332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + 124 + 133 + -104.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2 + 2 - 2)*(-s + 2*s - 3*s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = -4. Suppose 93 = 9*h - c*h. Suppose -2*g + 1 = -1. Calculate the least common multiple of g and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290717 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h - 15 = 0. Suppose -5*z + 20 = -0*z. Suppose -z*d = -2*b - 10, 0*b = -5*b - 5*d + 35. Solve h*y = b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23798141 is divided by 11899066.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-14925)*45\/36. Let m = w + 11921\/22686. Let h(p) = p + 6. Let b be h(-4). Does b = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 13. Let k(b) = b**3 + 8*b**2 + 7*b + 1. Let x be k(p). Find the common denominator of -7 and (-3)\/x - (-124)\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bhvssssjhbhbjssvsj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376.921ml in litres?\nAnswer: 3.376921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*q - 2*q = 10*u + 14*u + 256, -2*q = -4*q + 64 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(154\/4004).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2*w + 5*w - 5*w + 1).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6 - 3. Let m(i) = 4*i**3 - 3*i**2 + i + 2. What is the lowest common multiple of m(j) and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -18\nAnswer: -49\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 - -4.1. Which is the closest to 2\/3? (a) 0.4 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1346358 and 2262.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.04 less than 0.12?\nAnswer: -45.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 408, 370, 330, 288?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-5))\/(7\/(7\/(-1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + (-2*sqrt(2299)*4 + 5 + 1*sqrt(2299))**2*3)*5 + -5.\nAnswer: -11550*sqrt(19) + 1690140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.2.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233*-7.\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13318185017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 64 = -16. Let g = -17 - y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*p - 37*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 at most as big as 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/20)\/((-3)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*d + 20*d + 6*d + 32*d.\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f**2 - 7*f + 1. Let y(h) = 11*h**2 - 3*h + 1. Let c(p) = 3*j(p) - 7*y(p). Let l(w) = 5*w**2 + 5. What is 5*c(t) + 4*l(t)?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, -3, -614, -1803, -3762, -6683?\n\"Answer: -32*g**3 - g**2 + 2*g + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6442546430?\nAnswer: 2, 5, 13291, 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 17*m + 11*m - 25*m + 9*m.\nAnswer: 12*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 159202885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 3) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158338, 158331, 158320, 158305, 158286, 158263?\nAnswer: 158236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461747423173\/1435 + 321774969. Let m = 1194\/5 + t. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 192*r - 3388 = 0. Solve -25*l = -r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 + 0*m**2)*(3*m - 2*m - 2*m)*(290 + 91 - 780).\nAnswer: 399*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2292108 millimeters in micrometers?\nAnswer: 229.2108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -849 - -844. Which is the biggest value? (a) u (b) -90\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1005 times 0.769?\nAnswer: -0.0772845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 150, 533, 1108, 1875?\n\"Answer: 96*m**2 + 95*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**3 + 2*x**3 + 3*x**3)*(160*x + 1839 - 1839 - 32*x) as m + v*x**4 + g*x**2 + j*x + q*x**3 and give v.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 680182217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5340\/534 + (-124)\/13. Which is the third smallest value? (a) -2\/3 (b) 0 (c) 2\/19 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-three quarters of a millimeter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 353, 3, -4 in descending order.\nAnswer: 353, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 9635138?\nAnswer: 963513b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.59095048 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(98) - (sqrt(98) + 4 + sqrt(98))) + -3 + -1 + 4*((-4 + sqrt(98) - sqrt(98)) + -2 + sqrt(98)))**2*4.\nAnswer: -5376*sqrt(2) + 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 4. Let l be o(3). Suppose 5*y - l = r, -1 = y - 4*r - 21. Which is greater: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 443996*h - 4439943. What is v(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 2, b: 4, i: 3}. What is prob of sequence ibib?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z*z\/(z**36\/z) assuming z is positive.\nAnswer: z**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4840\/89 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 - (-104)\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {v: 11, s: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a - 6. Let b be l(0). Let z = 19 + -11. Let g = b + z. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + 11*c - 36*c in the form p*c + l and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1373410.\nAnswer: 1\/1373410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**3 + 2*z**2 - 1. Let y = 0 + -1. Let h be t(y). Round h to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005464469 rounded to six dps?\nAnswer: 0.005464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*g*l**2 + 15*g*l + g + l**2 wrt l.\nAnswer: 100*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 83, -9, -23, 3 in descending order.\nAnswer: 83, 3, -3, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.66 - 0.34. Let h = l - -9. What is the biggest value in h, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6 and 33\/2927.\nAnswer: 17562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 434. Let f(r) = 28*r**2 + 7*r + 10. Let t be f(-5). Let h = k + t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/585*15)\/((30056\/51)\/(-13))?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 2}. What is prob of sequence qaaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 157. Let h be 9\/(-12) + (-81)\/t. What is the second smallest value in h, -6, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/900*40*15\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/21 and 107\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + -7.81. Let z = -26 - -15. Let k = z - h. Put k, 1, -2 in descending order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 11*r**2 + 240*r - 2649. Calculate z(11).\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*k + 6, -2 = l - 0*k + 2*k. Suppose 2*i + 3*i = -25, -4*a + 29 = -5*i. Let t be (a\/(-3))\/((-12)\/(-9)). What is the closest to t in 4, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 15*x**2 + 13*x**2 - 6 + 2*x as z + k*x + v*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 385*r**3 + 9*r**2.\nAnswer: -385*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:41 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 7\/6, -2\/13, -8.4 in decreasing order.\nAnswer: 25, 7\/6, -2\/13, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 0*w**5 - 2*w + 1\/3*w**3 - 1\/21*w**7 + 0 + 2\/15*w**6 - 1\/3*w**4 + 0*w**2. Solve h(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n + 1. Let d(x) = -4*x**2 + 4*x - 6. Let q(k) = -d(k) - 3*l(k). Let f be q(6). Calculate the remainder when 20 is divided by (1 - 0)\/(3\/f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from stxyppypypsttlpttspl.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3438200111.\nAnswer: 31, 283, 391907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19647 (base 15) in base 3?\nAnswer: 11012001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(-8)\/(-42). Let r = 0.7 + -0.43. Let i = 0.03 + r. Which is the smallest value? (a) -1\/2 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14497410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58699377 divided by -1?\nAnswer: -58699377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4722, 9447, 14172, 18897?\nAnswer: 23622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/105*567\/270?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*u**4 + 5*u**3 + 459*u + 461942 wrt u?\nAnswer: -12*u**3 + 15*u**2 + 459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*o - 5*m + 3, -5*o = 2*m - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9)\/p)\/p)**(1\/2)*(p**10)**(-17) assuming p is positive.\nAnswer: p**(-351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28384)\/(-24) - 17)*(0 + 3).\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 12*w - 24*w.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -15005 > -480119\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007893.\nAnswer: 19, 53047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14707926 divided by 4902642\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31535 - -31556. Let l(j) = 12*j**2 - 2*j + 1. What is the remainder when l(3) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 172*a - 2173. Give h(-15).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 77*q + 485. Calculate w(0).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -630, 273, -4, 0 in descending order.\nAnswer: 273, 0, -4, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10*f = 63. Let b = -23 + 9. Let k = f - b. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/65, -4\/7, 5, 2, -0.1, -0.2 in increasing order.\nAnswer: -4\/7, -0.2, -0.1, 2\/65, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132497923.\nAnswer: 1201, 110323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -142.2 and -0.11.\nAnswer: -142.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**3 + 14 - 26*y**3 + 10*y**3 wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 2*r + 1. Suppose -t - 1 = -2. What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -494? (a) 5 (b) -5 (c) -0.3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5705, 10686, 15667?\n\"Answer: 4981*c + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 46 + 37 + 5532751*n.\nAnswer: 5532751*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -24. Let x(z) be the first derivative of z**3\/3 + 3*z**2\/2 + z + 4. Determine x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 + 8997*z**2 + 8994*z**2 + 2*z**3 + 8998*z**2 - 26989*z**2.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 20. Suppose 2*x = -4*o + 98, -b - 29 = -o + 3*x. Solve -3*m + 4*d + o = 3, 2*m - d = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**2 + 5*w - 5. Let h(b) = b - 1. Let z(a) = 8*a + 1. Let q be z(0). Determine q*d(c) - 5*h(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 380\/11?\nAnswer: 380\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1728 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661562 * 0.0223.\nAnswer: 14752.8326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -108. Calculate the remainder when 1 + -4*a\/(-6) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 10*a - 11. Let h(u) = 6*u**2 - 29*u - 32. Let r(m) = -17*g(m) + 6*h(m). What is the units digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831230 divided by -366246?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*q = 340, -2*l + 5*l - 5*q = 164. Calculate the remainder when 70 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60164766 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*b = 103*b - 15237 - 10172 - 11627 for b.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21071399\/10 + -2105439. Suppose 0 = -w + 358 + 1340. Let k = o - w. What is the common denominator of 5\/8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 434*v + 15015. Determine k(-36).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*d + 740. What are the prime factors of d?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-5)\/2)*((-957)\/22)\/(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(864)*1 + sqrt(864)))**2*-2.\nAnswer: -25\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16*f + 4*f**3 + f**3 - 10 - 4*f**3 - 10*f**2 - 15*f. Let r be (-9)\/6 - 46\/(-4). Let p be i(r). Solve u - 5 = -p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/6118656 and 47\/273299968.\nAnswer: 819899904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 35871.65.\nAnswer: 35874.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1377113?\nAnswer: -4\/1377113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, 0, -0.2, 124168?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o - 8*o + 15*o)*(o - 1 + 1) + (1 - 1 - o**2)*(2 + 3 - 6) - 2*o**2 + 1 - 1 to i*o**2 + q + k*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 14*z - 14. Let u(i) = i**2 + i - 1. Let l(q) = -6*q**2 - 9*q + 9. Let x(t) = l(t) + 4*u(t). Determine 4*h(m) + 11*x(m).\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**10)\/l)\/l**(18\/5)*(l\/l**(-13))**(2\/175) assuming l is positive.\nAnswer: l**(164\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143844 or 143843?\nAnswer: 143843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 142 - -621?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058458 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = 3*l, 3*i - l - 64 = -68. What is the nearest to i in -5, 0.02933, 2\/7?\nAnswer: 0.02933","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-24110)\/(-340) + 8\/136*(-9 - -6).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 5*o + 0.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18 and -62\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llx when three letters picked without replacement from lxflxfff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000053352 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 915276.4l in millilitres?\nAnswer: 915276400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3 (c) -0.2 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 564*c**5 - 15393*c**4 + 114441*c**3 - 127653*c**2 + 29055*c - 1014 = 0.\nAnswer: 2\/47, 1\/4, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3 (b) 0.4 (c) -1\/3 (d) 1\/6 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(10\/12). Let j = 8800 + -8800. Which is the nearest to j? (a) d (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 4801.7072.\nAnswer: -72025.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538630 rounded to the nearest one thousand?\nAnswer: 1539000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.2. Let f = 3.2 + q. Let z(c) = c**2 - 3*c - 204. Let l be z(-13). What is the third smallest value in l, 0.4, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3483780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-1413)\/(-72) - 7\/((-392)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (0 - 213\/666). Let a = t + 1\/74. Let 0 - 1\/3*k**2 + 0*k + 1\/3*k**4 - 1\/3*k**3 + a*k**5 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 18\/(-8))*1292\/3230. Is c <= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1815)*3)\/((-1*sqrt(147) - sqrt(147))*3).\nAnswer: -11*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**8\/25200 - j**6\/900 + 7*j**5\/20 + 3*j**2 - 3*j. Let a(l) be the third derivative of s(l). What is z in a(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -280548 * -0.74.\nAnswer: 207605.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10*h = -14*h + 224940, -2*q = 5*h - 89976. Does 13 divide q\/72 - 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2175*h + 145730. Calculate y(-67).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120103232 (base 4) in base 6?\nAnswer: 2044542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/5, -84 in descending order.\nAnswer: -1\/5, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*l, -l - 3*l = 0. Suppose s + 2*k = -p*s, -3*s = 3*k. Let m = 3.7 - 4. Which is the closest to 0.3? (a) s (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let n(u) = 8*u**2 - 18. Determine n(h(z)).\nAnswer: 32*z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2483 * 5\nAnswer: -12415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, -0.5, -0.09, 5, 40.\nAnswer: -0.5, -3\/19, -0.09, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*l**2*q - 11*l**2 + 2*l*q + 83*l - 45*q wrt q?\nAnswer: 23*l**2 + 2*l - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3568 + -3568.4. Let k = -54\/7 + 148\/21. Which is the nearest to k? (a) s (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -3*b - 2*z + 6*z, 0 = b - 5*z - 194. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1413\/26231 or 0?\nAnswer: 1413\/26231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -216.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 1. Let h(t) = 2*t. Let o be h(-2). Determine d(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 7741482*t - 4994211963027.\nAnswer: -3*(t + 1290247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Calculate the remainder when (-5 - 89)*2\/u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1615, -5, 2 in descending order.\nAnswer: 1615, 44, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**5*z + 146*v**3*z + 1109*v**3 + 1714*v*z - 8*v + 85*z wrt v?\nAnswer: -20*v**3*z + 876*v*z + 6654*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 605*d + 5. Let q(x) = -1. Let i(w) = 6*q(w) - s(w). Let c be i(3). Let p = -7363\/4 - c. What is the common denominator of p and 89\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313311134100 - -1?\nAnswer: -313311134044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -2\/15 (b) -15 (c) 1 (d) 2\/5 (e) 14\/167 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*40\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 608943*u - 1776600*u + 104 - 3857356*u. Let q be o(8). What is q rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.554 and -0.9?\nAnswer: 9.4986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24485 and 7499050.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Suppose -4*j + 4 = -6*j. Let r be 3 + j + 2 + -1. Let c(x) = -x + r*x - 6*x + x. What is c(l(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21\/5 (b) 0.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 428 - 3758 = 0. What is the greatest common divisor of 296 and s?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 5*s**2 - 13*s + 3. Is x(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:52 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(125) - (0 + sqrt(125) + 1) - sqrt(125)))**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000390907 rounded to 7 decimal places?\nAnswer: -0.0000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3487.000055664 - 3487. Round n to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113631453 + -3?\nAnswer: 113631450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {x: 2, h: 1, m: 5, o: 5, b: 1, l: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*y - 343 = -526 + 2163 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158153.414 * -0.5.\nAnswer: 79076.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 + -3)*(-2)\/(-9) and -13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 119\/(-952)*24*-1. Let s(v) be the first derivative of 1\/15*v**5 - 1\/6*v**2 + 8 + 1\/12*v**4 + 2\/3*v - 1\/3*v**w. Let s(y) = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33233321333 - -10101?\nAnswer: 33233332100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11715716.\nAnswer: 2, 2928929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 + 810*w**3 + 87861*w**2 + 956088*w - 3680640 = 0. Calculate w.\nAnswer: -72, -16, 3, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/3*k**4 + 2\/3*k**2 + 0*k - 8\/3*k**5 + 8\/3*k**3 = 0. What is k?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21984 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -b + 5*x, -3*b - 12 = -b - 3*x. Let y = -1\/48 - 5\/48. Sort 0.5, b, -1\/2, y.\nAnswer: -1\/2, y, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 73 - (-2 + -1 + 0). Suppose o = -p + 5*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 7*c + 18. Let b be t(-9). Suppose 10 = 5*g - 4*l - b, 2*g - l = 7. Suppose 3*m - g*i - 38 = -i, 39 = 4*m + 5*i. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1110 + x**2 - 1110. Let i(c) be the second derivative of -c**4\/12 - c. Calculate i(o(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*x - 164*x - 142*x.\nAnswer: -165*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188837655 to the nearest integer?\nAnswer: 34480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.968 - 8. Let b = -8.905 - -9. Let w = z + b. Round w to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.185, -4?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/7, 81, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2 = 2*i, -7*d + 8*d = i + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7728 + -5?\nAnswer: -7734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let n(a) = -591*a**2. What is n(v(j))?\nAnswer: -591*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670476124?\nAnswer: 2, 19, 21979949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*z + 28, -2*t + 2*z = z - 12. Let i = -4 - -9. What is the units digit of 4\/t*i\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -507062 or -507058?\nAnswer: -507058","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g - 6*g + 0*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 11*i. Let s(p) be the second derivative of i*p**4 - 1\/10*p**5 + 0 - 5\/6*p**3 + 3*p + 0*p**2. Find the second derivative of s(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18577900?\nAnswer: 2, 5, 11, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 6*d - 9*d - 12, 2*d + 8 = 4*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -257, -241, -207, -149, -61, 63?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27921548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 84 = 9*o. Let y = 69 - o. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8942015 + 0?\nAnswer: -8942015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 + -775\/3. Is -87 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c - 32*c + 3*c. Let m(q) = q - 7*q + 342 - 342. What is w(m(v))?\nAnswer: 90*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/(-32) + 1\/(-2). Suppose m = -4*g - 95, 0*m = -w*m + 2*g - 190. Let b be (5 - 2) + 295\/m. What is the nearest to 2.1 in 0.3, b, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**3*q**2 + 4*g**3*q - 58288*g**3 - 4*g**2 - 807514*q**2 wrt g?\nAnswer: 30*q**2 + 24*q - 349728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + -9790\nAnswer: -9790.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b + 51 = 7*b - 42 + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let y(u) be the third derivative of 59*u**5\/15 - 654*u**2. Give y(s(i)).\nAnswer: 944*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47014665 to the power of 1\/2, to the nearest integer?\nAnswer: 6857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 3*g = -908, -4*g = t + 168. Let o = 663 + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1306.6640957466 and -2.\nAnswer: 1304.6640957466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33732980 divided by -76.\nAnswer: -443855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120020200101211 (base 3) in base 7?\nAnswer: 125606164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -679153\/5 - -135831. Let v be 4\/(-12) - (-905)\/3363. Let t = v + 10\/59. Which is the nearest to f? (a) t (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 2 + 2 + (3*w - 6*w - 4*w)*(18*w - 6*w + 13*w) - 15*w**2 + 6*w**2 - 5*w**2 in the form s + x*w**2 + n*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 4*o**2 + 2*o - 5. Let s be u(-5). Let c = s + -6. What is the first derivative of 7*y**4 - 14*y**4 + 6*y**4 - 3 + c*y**4 wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24273251 divided by 5?\nAnswer: -24273251\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiih when four letters picked without replacement from {h: 6, i: 12}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 881 - 875. Put -0.4, -5, 3\/8, k in ascending order.\nAnswer: -5, -0.4, 3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26862966?\nAnswer: 2, 3, 13, 114799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 19*y - 1. Let l be d(8). Find the second derivative of -2*i + 86*i**4 + 7 - l + 8 + 14 wrt i.\nAnswer: 1032*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, d: 3, t: 3, u: 1}. What is prob of picking 3 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, -2\/3, -1970.\nAnswer: -1970, -2\/3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*q - 58. Let x = q + 45. Solve -2*d - x = -3*f, -6*d = -d - 4*f + 26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 - b - 149 + 450 - 149.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/111, 38\/7, 0.17, 1\/8 in descending order.\nAnswer: 38\/7, 0.17, 1\/8, 1\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**2 + s**2)*(-4 - 51 + 151).\nAnswer: -192*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 27. Calculate t(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooh when four letters picked without replacement from hoohoto.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -32*t. Let b(v) = -16*v. Determine g(b(p)).\nAnswer: 512*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -64615574 and -64615574 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l. Solve -3*n + 8 = -l*z + 4*z, -2*n = 4*z - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 x, and 1 i when four letters picked without replacement from {s: 4, y: 1, e: 2, q: 4, x: 3, i: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**2\/4 + 9*y\/4 + 30 = 0.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y - 1. Let o be r(2). Let f(i) = i**3 - 7*i**2 + 3*i - 9. Let s be f(7). Let p be (-1)\/(4 + (-52)\/s). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10371 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -434, 3 in ascending order.\nAnswer: -434, -60, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.005 and 0.3.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285\/91 + -22\/7. Let m = d + 2\/13. Let v = m + -10\/7. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16402291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 + 105474*d + 33960195 = 0. What is d?\nAnswer: -321, 105795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 - 47*g**2 + 15*g + 9. What is f(5)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36*-139.632\nAnswer: -5026.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 985967532*y**4 + 9435096*y**3 + 30096*y**2 + 32*y.\nAnswer: 4*y*(627*y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/414 and 9\/10.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3357482269 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 16 = 5*s. Let t(x) = -17*x**3 + 2*x**2 - 4*x - 3. Let m be t(-3). Let n = 695 - m. What is the highest common divisor of s and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 759*a*r - 98*a - 268*r - 228 wrt a?\nAnswer: 759*r - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 15*a**2 + 39*a - 6. Let u be n(3). Solve z - 6 = 4*w, -u*z = -6*w + 2*w - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.34978 times 6.4\nAnswer: -53.438592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from {q: 1, w: 5, z: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -b - 15, -4*b - 140*p + 3 = -141*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7303914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1322447055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 68 + 68. Let q(j) be the first derivative of 0*j**3 + 1\/2*j**4 + 3*j**2 + y*j + 10. What is the second derivative of q(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*d - 5 = 4*n, -4*d = -2*n - 4. Let l = -44 - -46. Solve 3*h + 9 = -l*v, h + 4*v + 3 + n = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58850149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 10*j + 1. Let d(v) = -v**2 - 10*v - 1. Calculate 5*a(f) + 6*d(f).\nAnswer: -f**2 - 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*k = 7*k - 25, 5*d + 2*k = 171. Let x = 27 + d. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*(-75)\/80*70700\/(-12625)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 1:44 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (78\/104)\/(476\/(-112))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5*s + 2*s)*(2 + s**2 - 2) - 745 + 745 + 206*s**3.\nAnswer: 202*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.423566nm in kilometers?\nAnswer: 0.000000000006423566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127891435 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*u + 5*u. Let x be (u\/4 + -3)*4. Let k be x\/(-10) + 55\/(-25). Let s(r) = 5*r**2 + r. Let j(g) = -4*g**2 - g. Give k*s(y) - 3*j(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3424 + -2273. What are the prime factors of g?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 240*g**2 + 3*g + 238*g**2 - 3*g as h*g**2 + v + f*g and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -492, -1953, -4388, -7797, -12180, -17537, -23868?\n\"Answer: -487*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 500, 1005, 1524, 2057, 2604?\n\"Answer: 7*n**2 + 484*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 7. Let i be q(6). Let r be i - -2 - (1 + -2). Find the second derivative of -j - 3*j**r + j**2 + 0*j**2 wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6861 + 14.6861. What is the nearest to -2\/3 in -0.5, -3, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 2. Let t be (-6)\/2 - 2 - -2. Let g(r) = r - 2. Determine t*g(l) - 4*b(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36288 and 404208.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 + 6)*(-2)\/3. Let v(u) be the first derivative of 0*u**3 - 3 + 1\/5*u**5 + 3*u + 0*u**q + 0*u**2. Differentiate v(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 29. Let s = q + 38. Solve m = 3*a + 21 - 8, -s*m = -2*a - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22644 (base 9) to base 4\nAnswer: 3230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(484)*-1)\/sqrt(11) + 1 + -2 + -3.\nAnswer: -4*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380192.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1620 and 547587540.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 2475*g**3 - 2477*g**3 + 15*g.\nAnswer: -2*g**3 + 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.8151 and 0.4.\nAnswer: -7.4151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43466 is divided by 43177.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 373466 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-258)\/(-4)*(-10)\/15. Let r = -38 - s. Suppose 0 = -k - 5*c + 63 + 10, 0 = r*k + 2*c - 250. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2159 - -2161. Solve -12*u - 4*b - 7 = -13*u, -u - m*b = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.2780835 to 1 dp.\nAnswer: -49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (288\/(-42))\/(-4)*(-1 - 6). Let g be (-2 - 1)*(16\/f - 3). Solve -4*k - 33 = 5*z, 4*k - 5*z - 4 = g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 8:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*m - 6*j + 4620, 4*m - 3690 = -2*j. Let t be 2 + m\/15 - 4\/10. Let z be (12\/(-15))\/(-2) + t\/5. What is the greatest common divisor of z and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -40, 1, -287 in descending order.\nAnswer: 10, 1, -40, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413 + 716. List the prime factors of a.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463625207.\nAnswer: 17, 37, 737083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r**2)*(0*r + 2*r + 0*r + (-6 - 1 + 2)*(-r + 7*r - r)).\nAnswer: 46*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940831 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20223320223 - -1011?\nAnswer: -20223313212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a - -10?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 - 89 = 3*s - 2*t, 2*t - 160 = -3*s. What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -v - 8, 5*y + 7 = 13*v - 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 2. Let c be g(5). Let f(t) = t**3 - 8*t**2 + 6. Let k be f(c). Suppose -k*a + 331 - 7 = 0. Is a at most as big as 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -44\/237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 25*w**2 - 48*w - 23. Suppose 17*b + 11*b = 5*b - 529. Determine r(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*b = 6, -b - 4 + 3 = -2*z. Let h = z + -1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (-1 + sqrt(252) + (sqrt(252) - 2*sqrt(252)))**2*-2)*6.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -526, -1119, -2106, -3607, -5742, -8631, -12394?\nAnswer: -17151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1751.\nAnswer: -3\/1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -59. Suppose -5*s + 26 = o, 12*o - 3*s - 186 = 7*o. Suppose o*t = 29*t + 63. Calculate the remainder when l is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*z = -44, 2*z = 3*n - 7*n + 50. Let x be (-32)\/(-14) + (-4)\/n. Solve -3 = -5*g + x*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852689009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*i - 317, 2*i + 782 = 4*m - 504. Let w = m - 181. What is the remainder when 3\/1*w\/9 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q + 2*m, 4*q + 0*q + m = 7. Suppose 0 = -l - 2*o + 30, -4*o = -q*o - 1. Let w be ((-2541)\/l)\/(-1*(-3)\/12). What is w rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*m**2 + 82*m**4 - 164*m**4 - 35*m**5 + 82*m**4 wrt m.\nAnswer: -2100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 656, 2292, 5492, 10778, 18672?\nAnswer: 29696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 140*f.\nAnswer: 2*f*(f - 210)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 69*z + 61. Let l = -745 - -702. What is the hundreds digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f**2 + 0*f)*(40*f - 40*f - 3*f**2)*(-7*f - 4*f - f).\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b3 + -4?\nAnswer: -3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -634.22488?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10990512*0.3.\nAnswer: 3297153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaadtaajamazzzj. Give prob of sequence aj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 52. Let p(c) = 12*c - 45. Let w(x) = -x + 3. Let t(l) = 2*p(l) + 30*w(l). Give t(a(r)).\nAnswer: -12*r + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/54 - ((-15)\/6)\/5. Suppose -v + 18 = 4*a, -a = 2*v - 2*a. Is z bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 1331.\nAnswer: 46585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*x = -515*x - 14577 + 1545 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1005954 and 1333083.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y - 20*y)*(5 - 10 - 2*y + y).\nAnswer: 22*y**2 + 110*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) -0.02 (c) -2 (d) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62938191 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: Differentiate -4*p**2*s*z - 25*p**2*z + 129*p*s*z + 66 with respect to s.\nAnswer: -4*p**2*z + 129*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 10:32 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a44 - -4?\nAnswer: a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142304 is divided by 603.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 7*m**2 - 9*m - 4. Let k be a(-8). Suppose 5*s = 1 + k. Let g(j) = j**3 - 18*j**2 - j + 26. Let x be g(18). Solve -3*d - s = x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*m**3 - 369705*m**2 + 2*m - 11834451 wrt m?\nAnswer: -144*m - 739410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477852?\nAnswer: 2, 3, 39821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -217\/5610 and -61\/138.\nAnswer: 129030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 105*c**2 + 1034*c - 197. Give s(94).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10399 + 12667. Does 63 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.38 + -15.88. What is the closest to 1 in 27, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1699430\/410 - 10\/(-205). What is the highest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + ((-8)\/6)\/(40\/(-180)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26343 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1763 and 74218.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/((-120)\/(-60))*-12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g + 16. What is the least common multiple of 6 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1144*g*p**4 + 20*g*p**3 - 283*g*p**2 - 7*g wrt p.\nAnswer: 27456*g*p + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25973c (base 16) to base 15\nAnswer: -339e18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32726980.5+-0.205\nAnswer: 32726980.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -3328. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*c**2*d**3 - 50*a*c**2 - 101*a*c*d**2 - 334963*a*d**3 - 1999535*c**2 - 3*c*d**3 wrt c?\nAnswer: -4*a*d**3 - 100*a - 3999070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/7 (b) 4 (c) 0.08 (d) -0.9308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*m - 19*m - 15*m - 13*m - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, -24, -18, 4 in ascending order.\nAnswer: -136, -24, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(480))\/(sqrt(10) - (-1*sqrt(1210) + sqrt(1210))))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-5)\/2 - 1\/(-2). Suppose 90 = -s*i + 17*i. Let z be i*(2\/(-6) - 10\/(-6)). Solve z = 3*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6511 + 12253. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*i**2 - 47*i**2 - 28*i**3)*(-i**2 + 1 - 1) + (3*i - 3*i - 2*i)*(i - i**3 - i)*(2*i + 0 - 5 + 3).\nAnswer: 32*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2854107*t - 12230862*t - 3138936*t.\nAnswer: -18223905*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 19*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 552392 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*1*sqrt(1053) + sqrt(1053))*-3)**2 + -3.\nAnswer: 4179354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058722 rounded to 7 decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-5) + 918\/144)\/((-721)\/(-28) - 22).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20263 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/((-2)\/(-6) + (-40)\/(-96)). What is the greatest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2852 + 7459. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1981 + 991 - 245*j + 985)*(0 + 11 - 4) in the form b*j + w and give b.\nAnswer: -1715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.30776935 rounded to 3 dps?\nAnswer: 7.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/14 - 4\/(-28). Let x(i) = 17*i**3 - i**2 - 4*i + 6. Let q be x(m). Let b = -571 + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*a*h**4 + 167370*a*h**3 - 86*a*h**2 - 2*a*h - 12*a + 2303*h**2 wrt h?\nAnswer: -2184*a*h + 1004220*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 412 - 410. Solve 0 = 2*k - 2 - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3907796*b**3*o**3 - 12*b**3*o**2 - 290*b**3 - 7*b**2*o + 12*b*o**2 + 18*o**3 - 3*o wrt o.\nAnswer: 23446776*b**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -106?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 + -41?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2963959\/13 + -227864. Let o = f + -133. What is the smallest value in 0.6, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 3. Let x(g) = -5*g - 12. Let u(n) = -9*b(n) - 2*x(n). Let a be u(5). Put 3, a, 0 in descending order.\nAnswer: 3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 23 + 25 + (1 + 2 - -1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 8. Suppose l = 5*l - d. Let q = l + -7. Solve q = i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -q + 660, -169*o = 3*q - 170*o - 2008. List the prime factors of q.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*(sqrt(108) + -2 + -4) - (sqrt(108) - (sqrt(108) + sqrt(108)*-3 + -1))*4) + -1)**2.\nAnswer: -6912*sqrt(3) + 36016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1430 - 1140. What is the remainder when 356 is divided by j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -104214639 and -13?\nAnswer: 104214626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(22) - (sqrt(22) - ((sqrt(1078)*-1 - sqrt(1078) - sqrt(1078)) + sqrt(1078))))\/(6*sqrt(66)\/sqrt(6)).\nAnswer: -5 - 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/8 + 1752003*a**2\/8 - 3503949*a\/8 - 26279955\/8 = 0. Calculate a.\nAnswer: -3, 5, 583999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*i + 12500 = -36*i. What is the highest common factor of 45 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 5 = 0, -k - p + 74 = 0. Let g = 203 - k. Suppose 2*h = -3*u + g + 257, -2*u - 1025 = -5*h. What are the prime factors of h?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180280 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11742 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.15. Let j = -0.12 - i. Let h be ((-738)\/(-120) + -6)*(-448)\/168. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247 - 52. Let u be (10092\/10)\/(n\/3250). What is u rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + u**2 + 2*u**3 + u**4 - 2*u**2 - 4*u**2 - 3 + 3*u**2 as d*u**3 + b + m*u**4 + g*u**2 + s*u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -20*u**2 + 120*u - 116. Let o(c) = 4*c**2. Let i(k) = -a(k) - 4*o(k). Suppose i(g) = 0. Calculate g.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from owowwwyoyooywoyywyy.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*g - 23*g - 97*g + 43*g.\nAnswer: -769*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 243?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23182*i**4 + 48256*i wrt i.\nAnswer: -278184*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, -3, -15, -5 in decreasing order.\nAnswer: -3, -5, -15, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Suppose -a*s = s - 25. What is the greatest common factor of 45 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*n + 66*n + 1019*n.\nAnswer: 1966*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2735956 and -54844.\nAnswer: 2681112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 43447396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3898 - -0.406. What is j rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Suppose 4*s + 16 = 0, 4*p - 4*s + 7 = 31. Sort p, u, -3 in increasing order.\nAnswer: -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26614, 53201, 79750, 106255, 132710?\nAnswer: 159109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59738.\nAnswer: 2, 7, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/66*36\/(-16)*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14658? (a) -4\/7 (b) -2 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40045 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2*i**3\/3 + 3*i**2\/2 - 4*i + 3. Let g be t(-3). What is the first derivative of 15*b - 3 + 3 - g wrt b?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5246 is divided by ((-400)\/(-500) + (-33)\/10)\/((-1)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**7\/126 - 7*m**6\/24 + 5*m**5\/4 - 115*m**4\/72 - 2724*m**2 - 2. Factor b(h).\nAnswer: -5*h*(h - 1)**2*(h + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 + 6. Suppose -2*z = -0*z. Let h = -31 - -41. Suppose -v + t - h = 0, -5*v - t = -z*t + 20. Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -41. Let m be (107649 - -1)*(x + (-7)\/7). What is m rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12 + 3 = 0. List the prime factors of (12\/f)\/(-1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -110. Let b = x - 56. Solve 4*a = -2*r - 6, 3*a + 3*r + 1 + b = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11032 - 11030. Solve g - i*g - z = 6, 3*g = -4*z - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 96.069. Let j = 28.069 + t. Let h = 31 - j. Which is smaller: -2\/17 or h?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 2. Let o(s) = s - 3. Let r(v) = -v**2 + 12*v + 13. Let d(y) = -2*o(y) + r(y). Let b(p) = -d(p) + 6*x(p). What is b(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 - 202. Calculate the smallest common multiple of 14 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/4 + 5*z**3\/3 - 3*z**2\/2 - 4*z - 3. Let b be r(-4). Let q be (b\/(-14))\/((-8)\/28). Solve 3*f + q = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 3*p, -2*p - 5*u = p - 5. Let k(b) = 2*b**2 + 2*b - 1. Let q be (-8)\/(-4)*(-1)\/(-2). Let d be k(q). Sort d, p, 2.\nAnswer: p, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*s + 75651 = 0, -348*g + 344*g = 2*s - 43204. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 55*h**2 - 29*h - 157. What are the prime factors of w(-5)?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228809?\nAnswer: 3, 31, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017965 - -2?\nAnswer: 3017967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r\/r**(-5\/9) assuming r is positive.\nAnswer: r**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (1 - 1) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21944\/56727 - 11894\/(-1135877) - -1*12\/(-22).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/10 and 2\/(-22) + (-11)\/((-479160)\/4638)?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22500487\/85 and -264711 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/8 + 11*s**3\/6 + 7*s**2. Differentiate p(g) with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*w**3 - 9*w**3 + 3*w**2 - 3*w + 3*w + 34*w**3 to f*w + q + k*w**3 + h*w**2 and give k.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 - 191*v - 1133. What is u(-41)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((2 - 9) + 10 + 1 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 77*y = 37. Let h(u) be the second derivative of 29*u**4\/6 - 5*u**3\/6 + 2*u**2 - 4*u. What is the remainder when h(y) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39694, 79383, 119070, 158755?\nAnswer: 198438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37674747 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1026747 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*p**2*w + 18*p*w + 2*w - 1060 wrt p?\nAnswer: -54*p*w + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -221 + -2?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 345089 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 4, -4, -2, 1\/4, -16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1, -2\/7, 3, -6, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u - 30*u + 5 + 11*u. Let n(a) = -27 + 35 + 17*a - 21*a. Calculate -5*n(k) + 8*y(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3366, -6731, -10096, -13461, -16826, -20191?\n\"Answer: -3365*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 3)\/(-1) + 9. Suppose -4*b = -p - 6, 5*p - 2 = 3*b + p. Suppose b*s - z = u + 15, -2*u = 4. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 6*x + 6. Let i be u(-1). Suppose -3*v + 5*k + 21 = 3*k, i*v - 16 = -3*k. Sort v, -40, 2 in ascending order.\nAnswer: -40, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86270 and 3882150?\nAnswer: 3882150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 26. Let v be o(-12). What is the derivative of -w - v*w - 5 - 4 wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.72709l to millilitres.\nAnswer: 36727.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130)*-1 - sqrt(130)))*5 - sqrt(130))\/(sqrt(80)\/(sqrt(8) + sqrt(48)\/sqrt(6))).\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 + 1 + 6 + 255*j.\nAnswer: 255*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 11}. Give prob of sequence aaw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 41 = 77*v - 81*v, -8*a - 75 = 3*v for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/1558 + 6060\/164. Which is smaller: 250\/7 or c?\nAnswer: 250\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - p - 100 = 0, -4*y + 5*p + 37 = -64. Calculate the remainder when 75 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2224 (b) 0.4 (c) 23 (d) -67\/3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*u**3 + 1200*u**2 - 885*u - 350.\nAnswer: 5*(u - 1)*(u + 35)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022123 - 21203113?\nAnswer: -23231302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2 + 0 + 4257*a - 11.\nAnswer: 4257*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (154\/(-88))\/((-4)\/64). Let m(y) = 99*y**3 - 1. Let j be m(1). What is the highest common divisor of j and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -18. Let k(r) = 2*r**2 + r. Let t be k(m). Let y(p) = p - 8*p - t*p. Let l(b) = 2*b. Calculate y(l(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 113222 (base 5) in base 11?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1504*h + 10638 = 1110*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:49 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40\/3 + 14. Let k = 1\/6 - r. Which is the second smallest value? (a) 0.1 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3641 - -5?\nAnswer: 3646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 4. Suppose -4*x = -c - 3*c + 28, 4*c = -3*x - 7. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 16 = -4, 2*t - 4*i = 30. Suppose -2*r - 2*r + 11 = 3*q, -3*r - 3*q = -12. Let m be (0 + r)\/(3\/15). Put m, t, 4 in decreasing order.\nAnswer: t, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r**2 + 39*r**2 + 0*r as g + q*r + l*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from ihshhshumsh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -312. Suppose 0*a = -7*a + c. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (289\/(40460\/80))\/(52\/14 + 0)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 131*x**2 + 109*x + 25. Give z(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -13. Let z be 8 - g\/6*2. Let y(v) = 3*v**2 - 20*v - 4. What is the units digit of y(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23707900051 plus -4?\nAnswer: -23707900055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 161 + (10 - -5 - 1) + -29 + 16?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + y = -y - 2924, 5*g + 7303 = 2*y. Suppose 2*q + 2 = -22. Is g\/q - 9\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3417 (base 8) to base 16.\nAnswer: -70f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 444 = -13*a + 114 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18969 is divided by 17481?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2296 + -1777. What are the prime factors of k?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 5*g - 20 = 18*m, -m = 2*g - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 7:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 0 + 5*q - 2*q - 5. Let f(h) = 4*h**2 - 4*h + 6. Let x(y) = -6*d(y) - 5*f(y). Let x(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38 - 2 - 49*g - 24 - 132*g**2 - 111*g - 4*g**4 - 40*g**3.\nAnswer: -4*(g + 1)**2*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.35 (b) -2\/9 (c) 5968 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 962752.5 millennia?\nAnswer: 11553030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-25))\/((-3)\/(-6)))\/(112\/35).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -130000 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 5\/3, 13, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a factor of 228063252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939*u**3 + 907*u**3 + 7478*u**3.\nAnswer: 7446*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471 is divided by 484.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q = 34*q. Solve -5*i + q*b = -4*b + 6, -2*i + 5*b = 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -10. Let u(t) = -67 + 22 - 23*t - 84 - t**2. Let x be u(-12). Which is the smallest value? (a) x (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -373*c - 3135. Calculate y(-9).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 927.06 and -116.\nAnswer: -107538.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20*192\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 32 = 28. Suppose 0 = -v*l - 2*l + 22. Let t(d) = d + 1. Let m(k) = k**3 + 2*k - 1. Calculate l*m(q) - 2*t(q).\nAnswer: q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 3*b. Solve 4 = -2*z + b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20002121201 (base 3) in base 12?\nAnswer: -59547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -1\/39, 3, -0.3.\nAnswer: -8, -0.3, -1\/39, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 24*x + 24*x + (-4 - 1 + 4)*(-2*x + x**2 + 2*x) + 4*x**2 + 0 + 0 - 3*x**2 - 37*x**2 - 15*x**2 + 2*x**2 + 2*x**2 + 0*x**2.\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27345162 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 (base 14) in base 7?\nAnswer: -2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0 + -1 + 0). Let b(u) be the third derivative of u**4\/8 - u**3\/6 + 13*u**2. Let z(d) = 4*d. Give r*z(h) - 3*b(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*-2)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 571.1109 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {x: 8, r: 1, t: 2, n: 5, z: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901848 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -18, -156, -502, -1146, -2178, -3688, -5766?\n\"Answer: -15*o**3 + 31*o**2 - 8*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -2\/11, 12, 310, -3\/11, -0.4, -3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 1:49 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -35. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:46 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2589 = -3*z, 5*x - 48*z = -44*z + 4333. Is x < 867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91824681.\nAnswer: 3, 13, 2354479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 3, 6\/5 in ascending order.\nAnswer: -5, 6\/5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1075.9 and 4.\nAnswer: 4303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 25*v + 17. Let l(t) = -8*t - 6. Let o(p) = -i(p) - 3*l(p). Let m(x) = 40. Let q(y) = -5. Let k(g) = 3*m(g) + 25*q(g). Determine 2*k(w) + 10*o(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -192*l. Let r(g) = -g**2 - 20*g. Let f(q) = -12*q. Let c(d) = 5*f(d) - 3*r(d). Give t(c(b)).\nAnswer: -576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 9*k**2 - 13*k + 19. What is s(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o. Let i(h) = 3*h. Let k(y) = -2*i(y) - 3*w(y). Let r(f) = 6*f**2 + 7. Let s(d) = 4*d**2 + 5. Let x(z) = 5*r(z) - 7*s(z). What is k(x(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (-49 + 44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 149745 from 4.\nAnswer: -149741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 0 + 0 + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/459)\/(14*2*3\/(-108)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118593654 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 - 1. Let f be j(1). Let y = 13 + f. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 1. Let r be (42\/(-9) + 4)*18\/12. Let n(g) = -5*g - 5. Determine r*n(l) - 4*t(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-80) + 204\/(-680). Sort -29, a, -5\/2 in decreasing order.\nAnswer: a, -5\/2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*a = 3, -4*o + 11 + 8 = -a. Is 124 + (-2)\/4*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/4 + 7*w**3\/8 - 7*w**2\/4 + 5*w\/8 = 0.\nAnswer: -5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/126*(3 - -4). Let g(u) = -2*u**2 - u - 1. Let y(t) = -9*t**2 - 4*t + 26. Let b(v) = n*y(v) - 5*g(v). What is b(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 1, g: 1, i: 2, k: 1}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -208.\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 117, 169, 225, 285?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200)*-3)\/(3*sqrt(1210)) - 2*((sqrt(320) - (5 + 0 + sqrt(320)))**2 + (sqrt(320) - (1*1*sqrt(320))**2)).\nAnswer: -188*sqrt(5)\/11 + 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*1*(-9)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5 + 3*n + 0*n - n. Suppose -5*u + 0 = 2*i - 13, 3*i - 2*u - 10 = 0. What is s(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 1245. Let i be k\/9 - 3\/(-9). Let m be 14\/i - 78\/(-4). Solve -n = -0*n, -4*g = n - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-7 - -31 - 14) + 15 - -14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 6 = -2*w. Let c be w\/((-1 - -7)\/(-3)). Suppose 0*o + 2*o + c = 5*h, 4*o = -4*h + 28. What is the remainder when 19 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*r - 119 - 34, 2*r = -z + 55. Calculate the remainder when -746*9\/(-24) - (-166)\/664 is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5 - 100*n**4 + n**2 + 67 wrt n?\nAnswer: 120*n**2 - 2400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 215969193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 524 + -521. Solve 4*r + 0*r - n*m - 3 = 0, 9 = 2*r + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -205*q - 2664. What is m(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*i + 1043*i - 273*i + 775*i.\nAnswer: 1672*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 343 + 365. Let k = m + 123. Let t be (-3)\/(-3)*(k - 1). Solve -5*c + t = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 5)*(1 + 2 - 4)*(2*q**2 - 1 - 4 - 2*q - 4*q**2) to the form r + j*q**2 + o*q and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 7, 12, -1, -1108 in increasing order.\nAnswer: -1108, -1, 7, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 49*l**2 - 257*l + 27. Determine q(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403871, -3230818, -10903941, -25846328, -50481067, -87231246?\nAnswer: -138519953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141\/7 or 20?\nAnswer: 141\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 - 3*y**2 - y + 3. Let f be b(3). What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 1377*t**2 + 4434*t - 345. Give f(341).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 - 316. What is the highest common divisor of 1026 and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -617*d - 190 + 190 to the form s + f*d and give f.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30988201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 6*t - 3. Let w(r) = 4*r**2 + 1. Let d be w(1). Let c be s(d). Suppose 0*h = -z + 2*h + c, -4 = 3*z + 4*h. Solve z = -5*n - 1 + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 16.1. Which is the nearest to 2\/3? (a) 3 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-1)*g**13*g**(2\/59)*g*g\/(g*g**9\/g))**(-20) assuming g is positive.\nAnswer: g**(-10660\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.2 - -15. Which is the closest to v? (a) -0.4 (b) 5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 9*f**2 + 2. Let m(u) = -4*u + 7. Let t be m(4). Let b be g(t). Solve b*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s + 19*s - 91*s + 27*s + 24*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 7*i**5\/10 - 41*i**4\/12 - 84*i**3 + i**2 + 200*i + 5. What is the second derivative of r(m) wrt m?\nAnswer: 84*m - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4623666839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 29*b + 249. Solve 0 = -n + 2*i, -b*n + 3*i = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y\/y**(2\/13)*y))\/y)\/(y\/((y**(-4\/5)*y)\/y)*y*y))**(-10\/3) assuming y is positive.\nAnswer: y**(604\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(24\/702) + -4. Suppose d - 890 = -7*h. Let k be (216\/h - 2)\/1. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 12*k + 7313418 - 7313418.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-54)*120\/200?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z + 19. Let w be m(-15). Let h = 192 - w. Suppose u = 2*u - h. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 4 (c) 0.137 (d) 246 (e) -2\/7 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**2 - 8*w - 6. Let k(z) = 13*z**2 + 12*z + 9. Let g(y) = 7*h(y) + 5*k(y). Let n = 10 - 15. Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/6 - 151*y. Let s(u) = 136*u. Determine s(x(i)).\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8 - 2, t = 2*b - 4. Suppose t = -d + 2*p - 5, -d + 5 = p - 5. Solve 0 = -l - d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z - 39. Let t(k) = 4*k + 28. Give 3*a(v) + 2*t(v).\nAnswer: -7*v - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(15)*-1)\/sqrt(5) + 0).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 877531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6467*f + 232808. Give o(36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 11.01149.\nAnswer: 13.01149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50\/77 - 26\/11. Let x = -41\/28 - n. Let a = -4.3 - -4.3. What is the closest to x in -4, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3*n + 12, 10 = -n - 85*h + 84*h for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*t + 8 = 0, 4*h = 5*h - 5*t - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 0.9. Let v = i - -1.596. Round v to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5167, -16740, -34723, -59116, -89919?\n\"Answer: -3205*b**2 - 1958*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*y - 0*y + 37, 4*y - 2*f - 14 = 0. What is the second derivative of y*r + 7*r**3 - 36*r**5 - 4*r**3 - 3*r**3 wrt r?\nAnswer: -720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.157 - -0.02.\nAnswer: -6.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -4\/5 (c) 0.08 (d) 5 (e) 4 (f) -1\/369 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a factor of 50995740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 4*w + 4. Suppose -2*t = -2*x - 6*t, 3*t - 14 = -5*x. Suppose x*d + 9 = d. Give o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {c: 7, w: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 136. Which is the third smallest value? (a) -3\/35 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(342)*2*1)\/(2*sqrt(288)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 7 = -4*l + 11, 3*l + 5*h = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3858 is divided by 562.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13191449 - -0.4.\nAnswer: -13191448.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121745969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410.5117l to millilitres.\nAnswer: 410511.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -17a3?\nAnswer: 179a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**2 + 1170940*b + 68555024180 = 0.\nAnswer: -117094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/55 less than or equal to -0.1027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -131230120110?\nAnswer: 131230120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 72. Let j be q\/10*45\/(-6). What is the units digit of (-277)\/(-9) - (-8)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 434 + -427. Solve -19*v - 60 = -x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tau when three letters picked without replacement from {d: 2, u: 3, x: 2, l: 3, t: 1, a: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -134044, -136511, -138978, -141445?\n\"Answer: -2467*y - 131577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1116*b**3*v**2 + 161013*b*v**2 + 2*v**2 - 122554563*v + 1 wrt b?\nAnswer: 3348*b**2*v**2 + 161013*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173000 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 195, 403, 675, 1005, 1387?\n\"Answer: -l**3 + 41*l**2 + 22*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 1.521?\nAnswer: -1.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -311874.7 - -311888.69991. Let v = -14 + t. What is v rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1731, 1, 12, 0.02, 4 in decreasing order.\nAnswer: 12, 4, 1, 0.02, -1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(102))\/(6*sqrt(12)\/sqrt(2)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**44\/(f**(-3\/17)*f)*(f*f**(-1\/5))\/(f\/((f*f**35)\/f)))**(-1\/15) assuming f is positive.\nAnswer: f**(-6628\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0592338451 and -35.\nAnswer: -35.0592338451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - l - 329. Calculate w(0).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5891, -11784, -17679, -23576, -29475, -35376, -41279?\n\"Answer: -v**2 - 5890*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176037*i = 176079*i + 210 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 0.02868.\nAnswer: -0.0002868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k - 208. Let g be r(-19). Let t(p) = 12*p**3 + 6*p**2 - p - 5. Let j(f) = f**3 + f**2 - 1. Let b(z) = 5*j(z) - t(z). Give b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 918870 - 3297870. What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/(-336) - (-1 - (-245)\/(-200))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*r**3 - 76*k**3 - 36*k**2*r - 24*k**2 + k*r**2 - k*r + k + 919278*r**2 wrt r.\nAnswer: -12*k**3*r + 2*k + 1838556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21406 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 9*z + 12. Let k be a(-7). Let d be (-4 - (-3 - -1))*k. Solve d*l + 25 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 3201 - 2176 = 0. What is the remainder when n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*2*-1*((-3000)\/(-705))\/(-50)\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q + 1. Let r be s(-3). Let k = 9 + -6. Suppose -b + t + 5 = 2*t, -4*b = k*t - 20. Solve -3*l + b + r = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/9))**44)**(-44)\/(j**(-4\/9)*j*((j*j**5)\/j)\/j)**18 assuming j is positive.\nAnswer: j**(-14290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**4*w**3 + 2*h**3*w**3 - 2*h*w**3 - h*w**2 - 29*w**3 wrt h.\nAnswer: -216*h**2*w**3 + 12*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 + -4 + 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 1 + sqrt(117) + 0.\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79\/252 - 1\/36. Sort -1, l, -1\/6 in decreasing order.\nAnswer: l, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558 and 2754.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/6 + 276*b**2. Solve x(r) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-56*(-9)\/360.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11984 divided by 27.\nAnswer: -11984\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2. Let i(b) be the first derivative of -3*b**2 - 216. What is k(i(j))?\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x - 27*x - 300 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 118, -1\/260, -0.5, -0.1?\nAnswer: -1\/260","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58537 + -34743. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.12 - -15.1605. What is n rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-603121.\nAnswer: -603121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*-1*(-5 + 1*sqrt(2448)))**2.\nAnswer: -1440*sqrt(17) + 39393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f + 10*f + 6*f**3 + 3*f**3 - f**3 + f**3 + (4 + 0 - 3)*(2*f**3 - f**2 + f**2).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*(-18)\/117)\/(-2*11\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-663*f - 112*f + 89*f)*(3*f**3 - 5*f**3 + 3*f**3) - 3*f**4 + 2*f**4 + 3*f**4.\nAnswer: -684*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*3\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/2, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 16, w: 4}. Give prob of picking 2 e and 2 w.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.2, 4, -3\/272 in ascending order.\nAnswer: -6, -0.2, -3\/272, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2 + 111*c**3 + 8*c**4 - 111*c**3 - 586*c + 168*c**4 wrt c?\nAnswer: 2112*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -188. Calculate the greatest common factor of 253 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 5415.1\nAnswer: 5415.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 - 4 = 4*h, 3*o = -3*h + 24. Solve -5*c - h = -6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3*t**2*z - 36*p**3*t*z + 3*p**3*z + 173*p*t**2*z + p wrt t.\nAnswer: -4*p**3*z + 346*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 r when four letters picked without replacement from rvrvrvrvvvvrvvvvvv?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 65*y**2 + 12707*y - 6458. What is v(-196)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 733727 (base 9) in base 2?\nAnswer: 1101010011001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c - 20*c - 16*c - 28*c - 23*c + 101*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -152. Suppose 2*q + 2*l - 18 + 4 = y, 3 = -q + 4*l. Solve -3*z + 8 = -q*j - 0, z + 2*j = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 17*y**2 + 7*y + 22. Let f be (52\/(-6))\/(9\/(-27)). Let h = 11 - f. Is j(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -129*k - 69. Let m be q(-5). Let r = 571 - m. Let b(z) = 20*z - 14. Let v(n) = -7*n + 5. Give r*b(s) - 14*v(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/(-136)*((-22)\/(-1386))\/(2\/14)?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -152 and 3519.664.\nAnswer: 3367.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -117, -115, -113, -111, -109?\n\"Answer: 2*a - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 0*j + 0*j + (0*j + 0*j - j)*(4 - 5 + 0) + j + 0*j - 3*j - j - j + 0*j - 4 + 1 + 0 + 2*j to the form z*j + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**5))\/i)\/i)\/((i**(-3\/2)*i)\/i)*(i**(-2)\/i)\/i**4 assuming i is positive.\nAnswer: i**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 26. Let x be r(7). Suppose -3*t = 4*u - 18, -2 = 2*u - t - 6. What is the fourth biggest value in u, 2\/5, 2, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2835718354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - 764\/(-20). Suppose -3*p + 5*b + 0*b = -44, b = -3*p + g. Suppose -p*n = -17*n + 16. Sort -2, n, 3 in decreasing order.\nAnswer: n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 - 2. Let m(y) = -2*y**3 + 2*y**2 - 5. Suppose 0 = -a + 7*a - 18. Let u be (-5)\/a*(5 + (-12)\/6). Determine u*b(l) + 2*m(l).\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25749280 and 14?\nAnswer: 180244960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/4 + -2 + -5208657. Let r = 6453534179\/1239 + c. Let g = r - 2\/177. What is the common denominator of g and 77\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -12.6. Let s = -0.6 + v. What is the nearest to s in -5, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 800*k**4*o + 3*k**4 + 2*k**3*o - 2*k**3 + 2932*k**2 + 3*k*o wrt k.\nAnswer: 19200*k*o + 72*k + 12*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 92, 206, 334, 482, 656?\n\"Answer: i**3 + i**2 + 104*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 446, 346, 246, 146, 46, -54?\n\"Answer: -100*w + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 - -329\/2. Suppose 7 = 3*q + 1. What is the third smallest value in -5, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - w. Let a(d) = d**2 - 1199*d + 1199*d. Give a(y(s)).\nAnswer: 49*s**4 - 14*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 - 7. Let x(f) = 10*f**2 + 25. Let j(z) = 7*p(z) + 2*x(z). Let w(b) = 5*b**2 - 4. What is -2*j(g) - w(g)?\nAnswer: -3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p, 5032*m + 5*p = 5034*m - 1797. Calculate the highest common factor of 132 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*-15*6\/48.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 703885.1 millimeters?\nAnswer: 703.8851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 3*l - 7. Let m(a) = -a**3 + 2*a**2 + 2*a - 7. Let q(g) = 3*m(g) - 2*w(g). Differentiate q(x) with respect to x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2051*q*z**2 + q + 119*z**2 - 251403 with respect to z.\nAnswer: 4102*q*z + 238*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*k**3 + 0*k + 1449*k**3 + 0*k.\nAnswer: 967*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -13. Suppose 24 = 2*i - j*i. Calculate the lowest common multiple of 153\/12 - i\/(-8) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:33 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 15 = 4*n, -5*n - 5 = -a. Solve -l = -a*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232110 (base 4) to base 2\nAnswer: 1101110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -990\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30227 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 17. Let i(x) = -2*x - 6. Let r(p) = 6*c(p) - 17*i(p). Let w(b) = -26*b. Calculate r(w(v)).\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1398.032 - 3.\nAnswer: -1401.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154899517*l*x**3 + 2*l*x**2 - 9*l*x - 15*l + 2*x**2 - 6806*x - 1 wrt x.\nAnswer: -929397102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/4 - -2)*2\/3. Suppose 0*f = 3*f - 9, f - 18 = -r*p. Solve -p*q + 2*o + 12 = -3, 0 = 4*q + 5*o - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*i**3 - 1914*i + 1914*i)*(-56*i**2 + 0 + 52*i**2 - 1) + 3*i**5 - 2*i**5 + 0*i**5.\nAnswer: -675*i**5 - 169*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48314*o**2 + 4541*o?\nAnswer: -96628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19552 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3986 in -0.1, 5, -2\/5, -2\/7, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 15 = 17*u. Let v(f) be the third derivative of 0 - u*f**2 + 0*f**3 + 0*f - 1\/60*f**5 + 0*f**4. Let n(r) = 4*r**2. What is v(n(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-1599)\/(-205) - (8 - 1)). Sort 4\/3, 0, g, -3.\nAnswer: -3, g, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0532004495 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409 + 38*h - 16*h - 616 - 773.\nAnswer: 22*h - 1798","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 158 = 4*o, v + 4*v - 3*o = 156. Let s be (-1)\/((-3)\/v*-1). Which is the third smallest value? (a) 2\/3 (b) -5\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -154? (a) -5 (b) 7\/9 (c) 2\/69 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080530 and 6335?\nAnswer: 1369031510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 576794718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15895 and 8998?\nAnswer: 13002110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.653 in -3, -10, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinndxxnkudkudk. What is prob of sequence kuik?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74440.9295 + -74422. Let w = -19 + k. What is w rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.35 times -0.28\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*n + 5600 = 214*n. Calculate the greatest common factor of 630 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*w**2 + 41508*w + 99504.\nAnswer: 4*(w + 2073)*(5*w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12*(54\/(-3))\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + b = r, -5*r - 5*b = -10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72))**2 - (0 + -4*sqrt(2)).\nAnswer: 4*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 8325, -2\/7, 4, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**2 - 17 + 0*h - 4\/3*h**3. Let y(s) = -5*s**2. Let l(d) = -d**2. Let q(u) = -22*l(u) + 4*y(u). Give q(n(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 4. Suppose k = 83 - 81. Let n be f(k). Suppose -114 = -2*i - n*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 28. Let y(q) = q**3 - 11*q**2 - 13. Let b be y(11). Let r be m(b). Suppose 4*k = r*k - 728. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99\/28 + 201\/7. Let p = 32 - o. What is the nearest to -1 in -5, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29648 and 0.78.\nAnswer: -23125.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 9*t. Let l be k(-9). Suppose l = 5*h - 118 - 332. Let p = h - 59. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 86. Let m be 2\/p*(-35)\/(-28). Factor -3\/2*r**4 - m*r**2 - 3\/2*r**3 + 0*r - 1\/2*r**5 + 0.\nAnswer: -r**2*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n + 10*n - 800 = -19*n. Which is greater: 0.121 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 24. Let a be k(-18). Let s be 1\/3*(3 + 3). What is the second derivative of d**4 - a*d**4 - 6*d + s*d + d**4 wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -217616?\nAnswer: -217611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/20)\/((-10)\/(35\/7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 1129869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4444 by 2222.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((6 - 3) + -3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 55 = -43 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g + 4*g + (-4 + 4 - 2*g)*(7 - 1 + 1) - 4 + 4 - g + (3 - 5 + 1)*(-4*g - 3*g + 5*g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udaj when four letters picked without replacement from {d: 1, j: 1, u: 1, a: 1, f: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24303369 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/21 - 4*j**3\/7 - 16*j**2\/7 - 8*j - 8. Factor l(p).\nAnswer: -4*(p + 2)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1842)\/(-21) - (-8)\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 190*h**2 - 2*h + 2*h**2 as b + v*h**2 + g*h and give v.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 1. Let w(m) = 5*m. Let o be w(-1). Let n be q(o). Find the second derivative of -2*b + 5*b**2 - 5*b**2 + 2*b**n wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -161?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 639*n**5 - 3*n**2*z - 334*n*z + 7*z wrt n.\nAnswer: 12780*n**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1978)\/(-828)*(-6)\/(-4). Let l = f + -61\/12. What is the nearest to -0.1 in l, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 4*n + 5. Let a(y) = y**2 - 1. Let z(w) = 2*a(w) + f(w). Let b be z(-3). Suppose -4*q = 3*m - 40, 2*q + 0*m = -m + b. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -1*(-2 - -7). Suppose s = 2*s - n. Suppose -l + s + 3 = 0. Solve 0 = 3*h - l - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4 - n**2 - 4*n**2 - 2*n**2 + 3*n**2 + n**3 - 4*n. Determine t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdwdzwwdwdwzdzddd. Give prob of sequence zdd.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-40)*2)\/((-8)\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.09 - -2.09. Let d = -3 - -8. What is the third biggest value in 0, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6551573*o**3*p**3 - 3267*o**2 - 183*o*p**3 + 3*p**3 + 1 wrt o?\nAnswer: 39309438*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 864 and 96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1285 - 1157 + 3139 + 2*o**3 + 568 + o**3 - 3 + 3 + (0*o**2 + 2*o**3 + 0*o**2)*(-1 - 1 + 0) + 0*o**3 + 2*o**3 + 0*o**3 - 6 + 4*o**3 + 6.\nAnswer: 5*o**3 + 3835","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44591101909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**8\/1008 - 8*a**7\/315 + 67*a**6\/360 + 533*a**5\/90 - 169*a**4\/3 - 197*a**2 + a. Let x(n) = 0. Calculate n.\nAnswer: -13, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -1153413?\nAnswer: 1153412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + -5 + (-3*sqrt(304) - sqrt(304)) - (-4 + sqrt(304) + 2 + sqrt(304) + -2*sqrt(304))*-5)**2.\nAnswer: 448*sqrt(19) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -80\/3*s**3 + 26\/15*s**6 - 5\/42*s**7 - 1 + 133\/6*s**4 + 16*s**2 + s - 37\/4*s**5. Find g such that c(g) = 0.\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 13*v + 8. Let h be i(13). What is the tens digit of (0 - -151) + (h - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 124*z**2.\nAnswer: -2*z**2*(z + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.3, -703845 in descending order.\nAnswer: -1.3, -2, -703845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-12) + (-1 - -3)\/8. Sort d, -3, -3\/5 in decreasing order.\nAnswer: d, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1 + z**2 + 8 - 7. Let x(a) = 34*a**2 + a. Calculate j(x(q)).\nAnswer: 1156*q**4 + 68*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8091 or 0.2?\nAnswer: 8091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 37. Let t be q(-16). Suppose -15 = 4*r - 3. Let z be 0 - 1\/(-6)*2. Which is the nearest to z? (a) r (b) t (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5862 - 381028\/65. Sort -0.5, u, 1\/4 in increasing order.\nAnswer: -0.5, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1489, -1490, -1491, -1492, -1493, -1494?\n\"Answer: -q - 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382804*-2.3.\nAnswer: 880449.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2014673, -2014663, -2014653, -2014643, -2014633?\n\"Answer: 10*n - 2014683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -629?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 34*f**2 + 69*f + 88. Let h be s(35). Let q = 406 + h. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 31, 75, 137, 217, 315, 431?\n\"Answer: 9*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1902\/94739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1 + -5 - ((sqrt(22)*1)\/sqrt(11))**2) + -3.\nAnswer: -11 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, -1\/5, 0.32, 1\/12, -4\/7, -1?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32210232389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 9536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/1573 and 101\/1479764.\nAnswer: 16277404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 13. Let a be (6\/w)\/(6\/(-5)). Suppose 0 = 4*h - 3*h + 1. Is h equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -14. Let t = r - 11. Suppose -5*i + 0*i + 19000 = t. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 794\/11 in -663, 0.04, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4.9 (b) 1 (c) 8 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.54 + -0.64. Let u = -161.29 + 0.29. Let z = 165 + u. What is the nearest to w in 3, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 3) to base 8.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.05 - 0.95. Let i be (-4)\/(-10)*75\/24. Sort v, i, -0.3.\nAnswer: v, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 - -303. Is 3731\/21 - (n + 21\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4.1 (b) -5 (c) -19 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = o - 2*o, 3*o + 3*p = 12. Suppose o*c = -5*i + 160, -25 = 3*c - 8*c. Calculate the remainder when 118 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.02, -1\/46, 0, 2\/3699?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 8)*(2 - 11 - 3)*(-32*i**2 - 11*i**2 + 16*i**2).\nAnswer: -972*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0, 2, 88 in descending order.\nAnswer: 88, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4432.615956 + -4407.616. Let z = i + -25. Round z to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14194850.81 rounded to the nearest 10000?\nAnswer: -14190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k + 7. Let q be h(-6). What is the greatest common divisor of q and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 - -144. Let q be (-2)\/j - 1602\/(-81). Let i = -16 + 20. Solve -c + q = i*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 3*b**2 - 3*b + 3. Let d be h(3). Let f = 7 - d. Let y = 59 - 36. What is the remainder when y is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571479 is divided by 81637?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(2299) + 5) - (6*(sqrt(19) - sqrt(171)) + (sqrt(1216) - sqrt(1216)*1))**2.\nAnswer: -2726 - 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/49? (a) 32 (b) 558 (c) 574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:01 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 4*c**2 + 0 + 0*c**3 + 1\/42*c**7 + 1\/4*c**6 + 0*c + c**5 + 5\/3*c**4. Factor v(d).\nAnswer: 5*d*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37694088583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7627, -14457, -21301, -28165, -35055, -41977, -48937?\nAnswer: -55941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arnnnrnannv. What is prob of sequence rn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6 = p - 3*z, 2*z = 6. Let x be (3 + 21\/(-6))*p. Let j(v) = -6*v**2 - 2*v + v + x*v**2 + 1 - 2*v**2. Calculate j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j - 5*j + 5*j)*(-3 + 2 + 2) + 24*j - 29*j - 63*j + 0*j - 3*j + j + (4*j - 5*j - j)*(-5 + 1 + 2).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.053 (b) 1 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525315 divided by -525315.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107798614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11938 divided by 254.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81030342 and 9?\nAnswer: 243091026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.11 + -0.11. Let y = 1.1 + -1. Which is the closest to y? (a) v (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2 - 15*o - 13. Let l(t) = -6*t**2 - 15*t - 12. Let i(f) = -6*l(f) + 5*m(f). Let v be i(-16). Solve 0 = -y - 4*h - 8, -h - v = 5*y + 2*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglpdpdclpgppp. Give prob of sequence gg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:07 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let n(w) = 2*w**2 + 3*w + 10. Let p(a) = -2*a**2 + a + 5. Let x(z) = -n(z) + 2*p(z). Give x(j(l)).\nAnswer: -24*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjs when three letters picked without replacement from {v: 2, s: 1, p: 1, m: 1, j: 2, c: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 83 + 67. Let u(o) be the first derivative of -6*o**q + 2 + 0*o - 4\/3*o**3. Factor u(s).\nAnswer: -4*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 i when three letters picked without replacement from ncaassicgisn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -579*q + 4. Let f(t) = -2196*t**2. Determine s(f(j)).\nAnswer: 1271484*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -6 (c) 44 (d) 115 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 = -4*k, 5*o = -k + 2*k + 74. Let c = o + -12. Suppose -f + c*f - 12 = -r, -3*r = 4*f - 38. Solve 7*x - r = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from sskskysskcscksckks.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18118\/39 or -465?\nAnswer: -18118\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qccqqqqqqmmmqqcqqqqc. What is prob of picking 2 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = -1. Let h(y) = -26*y**2 - 207*y + 4. Let f be h(-8). Sort 0, n, f.\nAnswer: f, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 20*b + 98. Let n be d(7). Let l(v) = v + 1. Let r(z) = -12*z**2 + 12*z - 1. Let w(y) = 2*l(y) - r(y). Is w(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueuiuiiuhu. Give prob of picking 4 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 - -116086.1?\nAnswer: 116085.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 37, 0.04 in descending order.\nAnswer: 37, 2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8020499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.5 + 29. Which is the second smallest value? (a) -33 (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491073087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - m. Let s be o(-1). Suppose s*k = 3*k + 5*y - 31, -20 = -5*k - 2*y. Let h = k - 0. Solve -2*p + 4 = -h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5222 = 14*a - 714. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13151 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 17961.01 rounded to the nearest 10?\nAnswer: 17960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47433486 + -236967069.52566514. Let m = -236967070.97999941 - d. Let v = 0.98 + m. What is v rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l + 26. Let p(w) = -3*w - 4. Determine -14*p(n) - 2*q(n).\nAnswer: 14*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10068223189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -566858853.17911994 + 565890108.18912. Let x = w + 968745. Let z = x - 0.01. What is z rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + sqrt(19)))**2 - 4*sqrt(76)\/sqrt(4))*-5*4.\nAnswer: -6400 - 560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:09 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -3. Let s be (-18)\/21*i*1. Suppose 3*q - l + 5*l = 114, 36 = q + 2*l. Calculate the highest common divisor of s and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6292523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 1. Calculate i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 + (-28)\/(-12). Suppose -13 - 1 = -a*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20427\/20 - -10221\/10. Factor 1 + 11\/4*y**2 - r*y**3 - 3*y.\nAnswer: -(y - 2)*(y - 1)*(3*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 156019*j**2. Let s(d) = -3828*d. Determine k(s(n)).\nAnswer: 2286237522096*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/49 + 89\/98. Suppose 3*o = 2*c - 16, -5*c + 1 + 28 = -2*o. Suppose 5*l = 20, -5*r = -2*l + 6 + 7. What is the nearest to 4 in r, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 + 213 - 589 + 207 - 4*c**2.\nAnswer: -4*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 48 = 11*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q + 21. Let h be -8 + 3 + 4 - q. Solve 0 = h*n + u - 2, -2*n + 12 - 2 = 3*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 + 3*n**2 + 4*n + 2. Let j be (-1 - (-1 + (-2)\/4))*4. Suppose -j*i + 8*i + 12 = 0. Calculate s(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 6*a**2 - 20*a - 16. Let t be d(-12). Round t to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 53. Suppose g = -k + 4*k - 5*q, -k = 2*q - 5. Suppose -57 + 17 = -2*x. Solve -k*p - x = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 take away 657837393?\nAnswer: -657836132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 q, and 1 g when three letters picked without replacement from {g: 2, c: 6, i: 5, q: 1, h: 1, t: 5}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 41 - 18 + 8 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(3\/7)*s*s**(4\/3)*s**(-2)\/(s\/((s\/(s*(s\/(s*s**(2\/3)))\/s)*s)\/s*s)) assuming s is positive.\nAnswer: s**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 1476541?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Suppose 0*d - 5*d + 20 = 0. Let t(l) = -3*l. Let f(x) = -x**3 - 2*x + 1. Let m be f(0). Calculate d*k(g) + m*t(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*u - 396 = 0, 0 = 5*t - 4*u + 7*u - 2082. What is the highest common factor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 776\/9 or 85?\nAnswer: 776\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(343) - (sqrt(343) - sqrt(343)*-3)) + -3 - ((sqrt(7056) - 1*sqrt(7056)) + sqrt(7056))\/(sqrt(63)*5))*6.\nAnswer: -654*sqrt(7)\/5 - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**10\/166320 - j**9\/20790 - j**8\/12320 + 7*j**4\/12 + j**2 + 38*j. Let c(z) be the third derivative of y(z). Factor c(o).\nAnswer: -2*o**3*(o + 1)*(o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/29))**(7\/2)\/((m\/(m*m\/m**10))\/(m**29\/m*m)) assuming m is positive.\nAnswer: m**(1153\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10 + 0)\/(69\/138)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4\/8 + 6045*h**3\/8 - 123450*h**2 + 9905625*h\/2 + 27945000 = 0.\nAnswer: -5, 90, 1840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190898441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -116 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -3727926, 2\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 114769 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: Two letters picked without replacement from {o: 13, t: 1, k: 3, x: 2}. Give prob of sequence ok.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026961 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 21 = -4*x, 2*f + 15 = 7*f - 5*x. Let d be ((-5)\/9)\/(2\/(-6)) + f. Let 4*a + d*a**2 + 6 = 0. What is a?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k - 77. Let p(c) = c**3 + 34*c**2 + 32*c - 19. Let v be p(-33). What are the prime factors of u(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121.86 - -1.14. Let p = j - 123.0001515. What is p rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, z: 4, d: 1, o: 2, j: 2, l: 4}. Give prob of picking 2 l and 2 f.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -1.481688, 3?\nAnswer: -1.481688","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6417227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 16*o - 11. Let w be p(-15). Factor 6*d + 5*d**w - 2*d**5 - 4*d**2 - 593*d**3 + 589*d**3 - d**4 + 2*d**4 - 2.\nAnswer: -2*(d - 1)**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - j - 1, -47 = -8*k + 5*j - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-48)*0 - 4\/(-30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -10.6. Let u = 9.42 + z. Let f = 5.98 + u. What is the third smallest value in f, -0.02, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790 and 102226?\nAnswer: 511130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-146)*(-1)\/(-2)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2688 + 4562. What is the remainder when t is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63921 is divided by 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 167*c**2 - 1422*c.\nAnswer: -c*(c + 9)*(c + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 764*f - 29 + 2*f**2 - 2 + 27.\nAnswer: 2*f**2 + 764*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*g = 106*g + 122005. What is the remainder when g is divided by 621?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) 3251\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144717894*j**4 + 16254*j**2 + 312.\nAnswer: -3473229456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 919\/30 + -103\/3. Find the common denominator of d and 415\/(-350) + 4\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 24. Suppose 0*y = 5*y - a. Suppose -o - y*o = -28. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3*b - 16. Let z be r(6). Solve 2*g = p - 5, 3*g - z*p = -6*p - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a + a**4 + (-3 + a**2 + 3)*(-6*a**2 + 4*a**2 + 17*a**2))*(2 + 1 + 3 + 2 - 5 + 6 + (3 - 5 + 1)*(-2 - 2 + 3)).\nAnswer: 160*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 56\/101 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -20. Suppose 7*j = 2*j - u. Suppose m + 3*x - 5 = 0, 3*x = 3*m - 0*x + 21. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j + 6. Let y(a) = a + 1. Let z(d) = -q(d) + 3*y(d). Let b be z(5). Suppose 2*m - b = -2*m. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670 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: What is 96\/(-126)*-14*99\/(-44)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -262243 and 0.054?\nAnswer: 262243.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86449 is divided by 165?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 + 8*n**2 - 8*n + 11. Let b(t) = t**3 + 4*t**2 - 4*t + 5. Let a(z) = -5*b(z) + 2*v(z). Let g be a(3). Sort -3, -4, g.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 10*y = 2*m + 8, -2*m + 4 = -y. Let z(k) = 14 + 0*k**2 + k**2 + 0*k**2 - 2*k**2 - 3*k. Determine z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9014 - (-1 - -5))\/(2\/(-10)*5) a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 + 155*x - 75. What is h(-40)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 25717680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1759, -14144, -47791, -113332, -221399, -382624?\nAnswer: -607639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 11:41 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 5*u + 4. Let g be (-1 + -2)*(-5 + (2 - -2)). Let w be j(g). What is the first derivative of 0*h - 3*h - 8 - 2 + w wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(15)\/(sqrt(25)\/sqrt(5)) + -3.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26314960 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - -0.07. Let f = 1.04 + z. Let w = 29\/170 + 1\/34. What is the nearest to -2\/5 in 2, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**6*p - 15*j**3*p + 171*j**2*p wrt j.\nAnswer: 360*j**3*p - 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -0.05, -1, -42?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 138. What is the second derivative of -4*f + r + 3*f**3 - 107 + 5*f wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10351\/4 + (-1)\/(-16 + 12). Suppose -r*s + 2592*s = -108. Is -20 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 10*g - 6. Suppose 0 = -4*k + 57 - 13. Let i(j) = -2*j**2 + 19*j + 11. Let n(f) = k*q(f) + 6*i(f). Find the second derivative of n(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.151 and -47?\nAnswer: 7.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1 (b) -45 (c) 282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:45 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9288173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7022 - -26954.2978. Let z = 26944.861 - y. Let i = 0.239 + z. Round i to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 41*q**2 + 0 + 23*q**2 + 17*q**2 to the form k*q + s + p*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60997867?\nAnswer: 7, 37, 235513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/7)*l*l\/l**(2\/3))**(2\/27) assuming l is positive.\nAnswer: l**(92\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 = 51. Suppose -z = -6*u + 3*u. Suppose 0 = -u*s - 2*s + 10. Solve 3*b + 4*l = 9, 8 = b + l + s*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 != 260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*b + 24, -5*o + 828 = -2*b + 808 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c + 8 = 4*a, 5*c + 2*a = 13. Calculate the remainder when (c\/6)\/((0 + 2)\/92) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 6*r + 4*o - 98 = 0, 250*r - 249*r + 4*o = 93 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*d - 522 + 522)*(2*d + 1 - 1) + d - 4*d**2 - d.\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -388404 divided by -18?\nAnswer: 21578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 53. Let t = k + -45. Calculate the greatest common factor of t and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o\/o**(2\/3)*o*o**(-4\/3)*o**(-4)*o*o*o**(1\/4) assuming o is positive.\nAnswer: o**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14999723*g**2 + 24542462*g wrt g.\nAnswer: -29999446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeeebbeebnlllleles. Give prob of picking 1 n and 1 e.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113311 (base 4) to base 3.\nAnswer: 111022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 55 = -4*a, -25 = -5*c + 10*c. Suppose -2*h = -2*t - 20, 0 = -2*h + 3*t - 7*t + 14. What is the remainder when a is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19139961 or -19139963?\nAnswer: -19139961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 10\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 51*a**3 - 18567*a**2 - 36240*a + 2196 = 0.\nAnswer: -2, 1\/17, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l - 8*l = 51*l - 3*v + 12, 3*v = 5*l + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**3 + 2*a + 1. Let o be s(-1). Suppose -3*n**2 + 12*n + o*n - 27 - n = 0. Calculate n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125128147.\nAnswer: 11, 13, 605233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 5 = -2. Let b = 31 - r. What is the greatest common divisor of 64 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/189 + 0 + (-2)\/7. Which is the nearest to -1? (a) n (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 + 256*q - 460 + 909.\nAnswer: 256*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 84*v + 393. Let q be f(5). Solve 0 = -j - 52 + q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576555.\nAnswer: 5, 71, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036202719 rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2*2 + sqrt(17))*6.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-66))\/((-4)\/((-64)\/(-6))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 + 20*k + 71. Calculate f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5))**2 + 2 + sqrt(2) - (-6*sqrt(50))**2.\nAnswer: -1796 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.56 and 19.5?\nAnswer: -10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 518, 0.4, -0.5, 0.3, -0.2, 2, -4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1342*y - 3034*y = 2056*y + 2622 + 304714 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 12. Give s(-20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 782 - 779. Suppose 5*y = -2*q + 180137, a*y - 6*q + 9*q = 108075. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2, 0.1, 44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010b29 (base 12) to base 5.\nAnswer: 1232231322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.91118um in meters?\nAnswer: 0.00004391118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313569617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-5 - -7)) + 7 + -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*((12 - 12 - 6*i)*(2*i - i - 2*i) + 2 - i**2 - 2).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*o - 12 = -2*b, 5*o - 30 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 10*y - 3*l - 15, 0 = 3*y + 5*l + 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d - 41 = -149. Suppose d = -26*n + 25*n. Suppose -2*l = -7*l + 25. Sort n, l, 3 in decreasing order.\nAnswer: l, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by -1?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times -13.35577?\nAnswer: 28.047117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v + 33 - 33 - 28*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8562 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14) + (-27)\/(-63). Let k = -4 - l. Put -7, -3, k in descending order.\nAnswer: -3, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3219*h**3*i**2 + 2*h**3 - 5*h*i**2 - 47*h - 3*i**2 - 2 wrt h.\nAnswer: -19314*h*i**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 35 + 511. Let s = f + -158. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from kwwkkwkkkk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186693?\nAnswer: 3, 13, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 397840 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 - 8.3. Which is the third smallest value? (a) 1\/3 (b) g (c) -0.3 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n**2 + 4. Let q be g(0). Let m(j) = j + 6 - 4*j + q*j + 16*j - j**2. List the prime factors of m(8).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5 + 106*l + 97*l - 377*l + 98*l + 79*l.\nAnswer: 3*l - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1236, 20, -1, -3 in ascending order.\nAnswer: -3, -1, 20, 1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 + (-232)\/(-28). Suppose 51*s = 54*s - 15. Solve w = s*w + f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose -o*g + 0 = -3. Let b(f) = 203*f**3 + f**2 - 2*f + 1. Is b(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 5, i: 1, c: 5, t: 5, f: 3}. What is prob of sequence ti?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 99. Solve s + 4*s + 16 = -y*q, 3*q + 4 = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4837*x**3 - x**2 + 346*x + 2 wrt x?\nAnswer: -29022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o - 41. Let u(s) = s. Determine -g(p) - 4*u(p).\nAnswer: 3*p + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9832.15 + 10?\nAnswer: 9842.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, 2\/3, -0.23 in ascending order.\nAnswer: -0.23, 0.5, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*f - 3, f = 2*f - 2*v. Let m(t) = t**3 - t**2 - t + 1. Let g(w) = 2*w**3 - 4*w**2 + 2*w. Let q(i) = f*m(i) - 2*g(i). Factor q(j).\nAnswer: -2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94761 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*u)*(2 + 4 - 3) - 94*u + 69*u + 94*u to h*u + y and give h.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3185 and 0.08.\nAnswer: -0.02548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4081 - 4081.2. What is the nearest to -7 in -0.1, -3, 3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:24 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let p(k) = -105*k**2. Let h be (-2 + -21)\/((-2)\/6). Let r(b) = h*b**2 - 30*b**2 - 37*b**2. Let d(n) = -p(n) + 5*r(n). What is q(d(j))?\nAnswer: -115*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 76.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/48309676 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-154)*(152\/128)\/19.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 21.9.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -2\/9, -0.2, 7\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*i + 22*i - 180 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {d: 1, c: 4, z: 1, m: 6, g: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2251 + 2254. Let t(v) = -v**3 - 4 - 2*v**2 + 2 + 5*v**3. What are the prime factors of t(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -38*v - 2. Suppose -2*p + 3*c - c - 2 = 0, c = -3*p - 11. What is the units digit of n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 32, 93, 198, 359, 588, 897?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 59. Let x be ((-2)\/26)\/(78\/2). Let m = x + -1687\/1521. Which is greater: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002935 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 20 = 40. Let i be (60\/60)\/((-1)\/((-1)\/1)). Sort i, m, -13, 5 in decreasing order.\nAnswer: 5, m, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.441 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:46 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*v - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1648)\/(-11) + 14\/77. Suppose -4*j - x = -9*j. Calculate the highest common divisor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (4 - (-1 - -1)). Suppose -5*d = 2*w - 32, -20 = -4*w - 0*w + d. Let t be (-3)\/2*m\/w. Solve y + 3*y = -4*l + 12, -6 = 2*y - t*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -17*c - c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -169086000 to the nearest one million.\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Let m = -14 - -9. Let u = -0.07 - 0.13. What is the third smallest value in f, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*i + 3*m + 13, 4*m - 3 = i. Suppose 13*k = 259 + 521. Let g = 60 - k. Solve -3*a - i*c + c - 2 = g, -2*a + 2*c = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*-3*((sqrt(190) + -2*sqrt(190))\/sqrt(10) + sqrt(19) - (sqrt(19) + 0 + -4))**2.\nAnswer: -600*sqrt(19) + 2625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -81658.\nAnswer: 40829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -a - 5, -2*t = -a + 11. Suppose 24 = 5*c + a. Let p = 300 + -299. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 + 382 + (0 - 39) - 11\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331505632*j**4 + 48904*j - 538 wrt j?\nAnswer: -3978067584*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 + 2679*w = 0. Calculate w.\nAnswer: 0, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*i. Let u(w) = -i - 5*w + 1 + 4. Is u(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-30)*1\/((-14)\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13722811 - 4528535857\/330. Let k = -262\/55 - p. Find the common denominator of k and -41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119066 and 5155236.\nAnswer: 3218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 5599, 2, 4, 0, -319 in ascending order.\nAnswer: -319, -5, 0, 2, 3, 4, 5599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 4, w: 2, u: 2, d: 2, f: 3}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-10\/9)\/b*b**(1\/24)*b*b*(b*b**4*b*b*b)**(-30))**36 assuming b is positive.\nAnswer: b**(-17141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 4, x: 6}. Give prob of picking 2 x.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*a + 0 - 4)*(0 - 2 + 3).\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553\/474*6\/826*(-12)\/(-3).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 4*w + 2)*(-10 + 13 - 11)*(2*w**3 - 4*w**2 + 4*w**2) as m*w + g*w**3 + b + x*w**4 + y*w**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*((-792)\/(-63))\/(-22)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.48. Let x = v + -0.08. Let m = 0.9 - x. What is the smallest value in -1, 0.4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (3 + -3))*2\/6. Which is the closest to u? (a) -0.08 (b) 5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355370 bigger than -18.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 12*r - 11. Suppose 0 = -3*y + 9, -y - r = -4*k - 2*y. Solve -k*n + 2*j - 8 = 0, -3*n - 18 = 5*j - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, -4, -36, -8 in decreasing order.\nAnswer: 4, 1, -4, -5, -8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5 - 6 + 4 - v. Let k = 6562 + -6565. Let t(p) = -1. Let w(s) = k*t(s) - c(s). Let l(y) = -19*y. Calculate l(w(z)).\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -39. Let o = y - -39. Suppose 4*v - 2 = o*r + 48, 10 = v - 3*r. Calculate the remainder when 25 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3 and -10\/91133?\nAnswer: 273399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 362673464 a multiple of 898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 x when three letters picked without replacement from xxbbbbsxbb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 8*p**2 + 4. Let j be g(-8). Suppose h + h - 7 = z, -h = -3*z + j. Let c(b) = 2*b + 1. Let y be c(1). Solve 3 + z = y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjl when three letters picked without replacement from lzbzbzzlljkkbjkzknz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*r + 30, 29*v = 28*v + 5*r - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. What is the third biggest value in 5, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07413527 - 0.03.\nAnswer: 0.04413527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1, 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -209 + 7a?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66568506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -650*z**2 - 161*z**5 - 10*z**6 + 35*z**6 + 79*z**5 + 71*z**5 wrt z.\nAnswer: 3000*z**3 - 660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327389780 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.8843.\nAnswer: -0.17686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 41764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1079 + 1079 - 703*v**2 - 1266*v**2 to p + s*v**2 + r*v and give s.\nAnswer: -1969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 + 19110*z**3 + 149*z**2 + 4*z - 17 wrt z?\nAnswer: -24*z + 114660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*x + 2 = 0, -2*a - 3*x = -a. Let m(b) = b**2 - 6*b + 2. Let h be m(a). Suppose h*s = 4*t - 16, s + 2*s = 3*t - 15. Solve t = -2*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11867, 23735, 35609, 47489, 59375, 71267?\n\"Answer: 3*y**2 + 11859*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -224. Suppose 0 = -h + 3*n + 32, -3*n + q + 10 = 5*h. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*b + 25 = 0, 5*b + 25 = z - 0*b. Suppose -6*k + k - 25 = z. Let u(r) = r**2 + 3*r + 5. Calculate u(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8200093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 987035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.529 >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -6, -1, -91, -1\/4, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -189*1 + (-33)\/33. Let n be 4\/(-10) - 56\/k. What is the biggest value in -2\/7, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 - 50*x - 5. Let a(t) = -6*t**2 - 25*t - 3. What is 5*a(u) - 3*s(u)?\nAnswer: 3*u**2 + 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727495 is divided by 359?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -81*p - 8025. Calculate i(-99).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**2 - 6*y**2 + 2 + 12*y**2 + (-2*y - 2*y + 5*y)*(-14*y + y - y).\nAnswer: -15*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q - 54. Calculate the least common multiple of 90 and r(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = -28. Let k(a) be the first derivative of -a**3\/3 - 11*a**2\/2 - 14*a - 7. What is the remainder when k(-6) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.701l in millilitres?\nAnswer: 724701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(315\/162) - (5 + -7 - 3)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (50 + -47)\/((-6)\/20 + 0) + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07095 and 0.094.\nAnswer: 0.0066693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 j when four letters picked without replacement from {j: 2, p: 1, w: 10, l: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.3 and 11626\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 - 2*s**4 - 34*s - s**4 - 46*s - 2*s**3 + 84*s - 22 - 2*s**2 as g + h*s + p*s**2 + a*s**3 + n*s**4 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/60 - 7*a**4\/24 + 2*a**2. Let v be i(-7). Solve v = 2*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 2 + 6)*(3*z + 4*z - 6*z).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -24. Suppose -r + 4*r = -k. Let v be 2 - 1*(r - -2). What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 562 + 0*t - t**2 + 563 + 2*t**4 - 2*t to g*t**2 + s*t + x + f*t**3 + i*t**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(6*d - 3*d + 25*d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 + 2. Let z = -15.3 - -77.3. Let b = z - 62.3. What is the nearest to a in 4, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 34712 = -13064. What are the prime factors of m?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 1, 0, 21 in increasing order.\nAnswer: -6, 0, 1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 177.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*m**3 + 86*m**2 + 260*m + 150 = 0. What is m?\nAnswer: -5, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -17. Let t(d) = -14*d + 2*d**2 + 6 + k*d - 25. What is the remainder when t(-6) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110110000 (base 2) in base 3?\nAnswer: 100201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2205*u + 2878*u - 22209 = 0 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*k**3 + (-3*k**3 - k**3 + 3*k**3)*(-1 + 0 - 1) + k**3 - 2*k**2 + 2*k**2 to h*k**3 + c*k + n*k**2 + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = u, -2*k - 9 = -2*u + 13. Let j(n) = -4*n + 7. Let c be j(u). Let y = -19 - c. What is the third smallest value in -0.2, -5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -645\/8 > -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.8084 times 966\nAnswer: 780.9144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2765487 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48412469 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 534\/(-33) - 2\/(-11). Let r be w\/(-8) + (-8)\/6. Let l = 0.8 - -0.2. Put -5\/6, r, l in decreasing order.\nAnswer: l, r, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (611*r - 7040*r**2 + 603*r - 1214*r)*(r**2 + 8*r**2 + 2*r**2) in the form d*r**4 + l + z*r**3 + x*r**2 + u*r and give d.\nAnswer: -77440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 - 104. What is the lowest common multiple of o and -4*1 + 1 + 15?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141288 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210054 and 54?\nAnswer: 1890486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**8\/36960 + h**6\/3960 - h**4\/4 + 2*h**2 - 2*h - 2. Let s(i) be the third derivative of b(i). Factor s(o).\nAnswer: -2*o*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 84*v**2 - 2*v - 1. Let m be d(3). Suppose 531 = 4*r - h - 61, 5*r = -h + m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-67 - 13) + 37?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1288*z**2 + 1 - 1 + 1290*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2670*t + 2*t**4 - 13581*t**3 - 132*t + 13731*t**3 + 2686*t**2.\nAnswer: 2*t*(t + 1)*(t + 27)*(t + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 151. Calculate the highest common divisor of 44 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 16, 4.\nAnswer: -11, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -29. Let f(t) = 6*t**2 - 20. Let w(r) = -3*r**2 + 10. Let y(b) = z*f(b) - 5*w(b). What is the first derivative of y(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxbxxxxxxxbxbxx. What is prob of picking 3 x?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 367*r + 11. List the prime factors of f(2).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 6. Let k(g) = 15*g**2 + 85*g + 85. Suppose 425 = -23*n + 18*n. What is n*y(w) + 6*k(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12985783 * 6.\nAnswer: 77914698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from kknlnwlkewnnnk.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1260 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 4d?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**4 - y**2)*(-2*y - y + 2*y) - 13554*y**5 - 11525*y**5 + 26847*y**5.\nAnswer: 1769*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 2016.363.\nAnswer: 2014.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.78 + -0.75. What is the nearest to 0.1 in 1, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -557*m**2 - 470*m**2 + 1924*m**2 + (-m + m + 2*m**2)*(-2 + 4 + 0) - 17 + 17 - 2*m**2.\nAnswer: 899*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i + 16. Let o(p) = -4*p - 5. Let r(a) = 8*a + 10. Let v(w) = 13*o(w) + 6*r(w). Determine 3*u(h) + 10*v(h).\nAnswer: -4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-68)*4 - 364\/(-4420)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 5 + -1 + (-18 - -8) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 9, n: 1, e: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-108)\/15)\/(-6))\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f - 64 = -240. Let h(y) = -3*y + 1. Let p be h(1). Let x be -3 - -1 - (p + 3). Sort 0, f, 6, x in increasing order.\nAnswer: x, 0, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 111, 181, 271, 387, 535, 721, 951?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -300301 (base 4) to base 15\nAnswer: -dd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6)\/(2\/(-6)). Let z be d*(-1)\/((-3)\/(-3)). Let v(w) = w**2 - 9*w + 8. Let l be v(7). Is z less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = -9*l. Let f be 5\/l - 50\/25. What is the nearest to -3\/8 in 0.4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 374*j - 905 - 6949 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002332 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 603, 7075, 24237, 57435, 112015, 193323, 306705?\n\"Answer: 891*w**3 - w**2 + 238*w - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 36 + (3 - 34) + (1 - 3).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2414939, -1, 1, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-246)\/(-4) - (-21)\/(-14). Suppose -7*p + r = -5*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 3*g + 3*g - 1 + 50 - 48*g**2 - 50 + (1 - 5 + 2)*(-3*g + 3*g - 2*g**2) to i*g**2 + h*g + l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 - 8*j + 3. List the prime factors of x(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 4*w**3 - 4*w**2 - 4*w.\nAnswer: 4*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1681, -5, -4, -2 in increasing order.\nAnswer: -5, -4, -2, -0.1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348 a factor of 22402268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 - -8 - (2 + (11 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0209142 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - c - 2*c = -75, -3*r - 115*c - 89 = -123*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/5 + 862*v**3\/5 + 223502*v**2\/5 - 226078*v\/5 - 448716\/5 = 0. What is v?\nAnswer: -183, -1, 2, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + (-6*-3*sqrt(637) - sqrt(637)) + (((sqrt(637) + sqrt(637)*1 - sqrt(637)) + sqrt(637))*4 - (sqrt(637) + 0 + -5)) + 1)**2*3.\nAnswer: 3024*sqrt(13) + 1100763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/60 + 4*d**2. Let l(j) be the third derivative of -j**5\/20 - j**2. Calculate w(l(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.1, -7 in increasing order.\nAnswer: -7, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9833 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.01, 15, 27?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83937525 a multiple of 2621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53712863, -107425732, -161138601?\n\"Answer: -53712869*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-10))\/(90\/150). Let q = 0.02 + 0.18. What is the nearest to 0.1 in z, 0.06, q?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/8 and 15\/98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861535 is divided by 451?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 21 + 3 = 0. What is the greatest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, -3\/5, 0.08 in descending order.\nAnswer: 0.08, -0.1, -3\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22731991*m**3*q + 7431*m**3 + 321*m**2 wrt q.\nAnswer: 22731991*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 11, 8, 1?\n\"Answer: -2*r**2 + 7*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 164951, 329893, 494835, 659777?\n\"Answer: 164942*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 - 3354*i**3\/5 + 6702*i**2\/5 - 670*i.\nAnswer: 2*i*(i - 1675)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdt when three letters picked without replacement from kgddddtr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 202885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527793344?\nAnswer: 2, 13, 634367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*d + 3 + 831*d - 1627*d.\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 8*q**2 - 2. Give y(-9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 55. Let u be ((-6)\/c)\/(2\/10) - -5. Factor 3*b + 11\/4*b**u - 25\/4*b**4 - 15\/2*b**3 - 1.\nAnswer: -(b + 1)**2*(5*b - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828 = -191*q - 1115 + 78 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (-4 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194\/9 + 2\/9*r**3 + 130\/3*r - 22*r**2.\nAnswer: 2*(r - 97)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.284 - -34. What is g rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 164 = 17*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17779318 divided by 5.\nAnswer: -17779318\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - x + 425, 3*p + 9*x - 4*x = 421. Let j = 148 - p. Which is the biggest value? (a) 0.4 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:16 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**2 - 201650*u - 122790000 = 0.\nAnswer: -600, 40930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072401495.\nAnswer: 5, 12373, 49663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 328 - 212. Calculate the greatest common factor of 1682 and f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(-2\/9)*d))\/d)**(-33)*(d**(1\/3))**(-10\/9) assuming d is positive.\nAnswer: d**(2861\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeerr. What is prob of sequence er?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71227*b*m**3 + 2*b*m**2 + 20737*b - 197*m**3 + 2*m**2 + 2 wrt m.\nAnswer: -427362*b - 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 30. Suppose w = r - 1 + 9, -5*w + 19 = 2*r. Let g(u) = -3*u + w*u**2 + 2*u - h - 2*u**3 + 3*u**3 - 6*u. Give g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(11\/4 + -2). Let p be 8\/(-2) - 1*(-1 - -1). Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 3*s**2 - 2*s - 4. Let f be u(-6). Let x = 206 - f. Suppose 4*n = 10 + 26. Calculate the greatest common divisor of n and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 349*y + 1733. Calculate the remainder when 65 is divided by c(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52043 - -52045. Let d = 4 + -3. Let l = -11 + 7. Which is the closest to d? (a) 5 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 25489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248863 - 211137. Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 59 - 66 = -2*a, z = -2*a + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*o + 1924, 9*n - 4*n = o - 493. Let s be 19\/5 - (o\/35 + -13). Solve -4*d + s*b + 4 = -b, -b = 5*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - r = -313 + 308, -3*r = -3*w - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = 3*b + 23*i - 27, 0 = 2*b - 2*i - 14 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bicqbins. What is prob of picking 1 b and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -198\/37780801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/30 - 13*j**2. Factor r(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4849 - 0.0151. Let u = 18.9 - 18.7. What is the closest to 66 in -3, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*y**3 - 14014*j**3*y**2 - 6*j**2*y**2 + 9*j**2*y - 2*y**3 - y wrt j.\nAnswer: -12*y**3 - 84084*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r - 20 = -4*v - 37*r, 0 = 4*v + r - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 8. Let o = 5 - 2. Suppose 10*g = 5*g + 5. Put o, g, h in ascending order.\nAnswer: h, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-1288) + (-16164)\/(-5175) + -3)\/((-3)\/(-6)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7032 - -7032.5213. What is u rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14043286 to the nearest integer?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 + h**5\/30 + 3*h**2. Find b such that c(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, r: 4, p: 2, u: 5}. What is prob of picking 1 p and 2 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 + 2*j**3 - 5*j**3)*(-j - 2*j + 0*j) - 2*j**4 - 4*j**4 + 5*j**4.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -7*u**2 + 1\/12*u**4 + 0 + 29\/6*u**3 - 7*u - 1\/30*u**5. Differentiate z(r) with respect to r.\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 2\/7 (b) 1\/3 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29786936107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21742202.999982 + 21742169. Let x = 34 + u. What is x rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 divided by -1664?\nAnswer: -149\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126350 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 259, 0, -2, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*z + 0*z**3 + 27*z - 4*z**3 + 3*z**2 + 2*z**4 - 5*z**2 to the form o*z**2 + a*z**4 + r*z + t*z**3 + k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6165522 (base 9) in base 5?\nAnswer: -1320304011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42230003 (base 6) in base 5?\nAnswer: -303414444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.9 - -8.89. Let r = x + -0.39. What is the second biggest value in -5, r, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*z - 2. Let q be (z - 1)\/(-4 - -3). Let a(g) = -g**3 + g + 3. Let t be a(q). Solve -2*b = -y + 5, -5 = 2*y - 4*b + t*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjjjjjjwl. What is prob of picking 1 l and 1 w?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 7*f + 6. Suppose 3*i + 19 = -4*n, -2*n + 3*n - 2*i + 2 = 0. Let m be k(n). What is the greatest common factor of m and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/120 - y**5\/60 + y**3\/3 - 2*y**2. Let o be b(0). Find the third derivative of 23*d**3 - 3139 + 3139 + 8*d**o wrt d.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(612) + 2 + sqrt(612)))**2 - sqrt(187)\/(1*sqrt(396)).\nAnswer: 7199*sqrt(17)\/6 + 61300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -81, -221, -459, -819, -1325?\nAnswer: -2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7177 is divided by 2378?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 4, 5, -209 in increasing order.\nAnswer: -209, -86, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98968\/(-417)*((-273)\/(-56))\/13.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let d(a) = -34*a - 46. Let x(n) = -d(n) + 12*o(n). Differentiate x(v) wrt v.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12 + 47 + -57)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v**2 + 2. Suppose 4*w = -0*w + 24. Determine r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 36 = j. Let y(g) = g**2 + 101. Let o be y(0). Let x = j + o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23286 (base 9) to base 12\nAnswer: -8bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9854.9 - -9854. Which is the second smallest value? (a) v (b) 3.8 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195254 divided by 97627.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - (sqrt(315) + 2*sqrt(315)*-1 + sqrt(315)) - sqrt(315))\/(sqrt(20)\/(sqrt(4)*2) - sqrt(5) - sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*u**3 - 227*u**3 + 47*u**3 + 43*u**3 + 41*u**3 - 99*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 m when three letters picked without replacement from dzzeemeddmdmddedzm?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 155, 2, -475\/701, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1732 - 1630. What is the highest common factor of 850 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068619 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 891 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:44 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1496\/5 (c) -1 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.54 + 11. Let s = v + 0.04. Let g = -39\/35 - -5\/7. Sort g, s, -4\/7 in descending order.\nAnswer: s, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5*l**3\/9 - 4*l**2\/3 - 4*l\/3 - 30. Find w such that x(w) = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -818 divided by 13.\nAnswer: -818\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -872*b**6 - 148995*b**4*v**2 - 1753*b**2*v**2 + 59*b**2*v + 2*v**2 - v - 2 wrt b?\nAnswer: -104640*b**3 - 3575880*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 1670.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 63883 = 3*q, 323*r + 5*q = 319*r + 127765. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*x - 6*x**2 + 201*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {w: 9, p: 2, i: 4, d: 1, z: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/10)\/(s\/(s**(-8)\/s)*s))\/((s**37*s)\/((s*s\/(s\/s**(-7))*s)\/s)) assuming s is positive.\nAnswer: s**(-551\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 55*c - 403. Let g be h(41). Let t = g - 171. Factor -3\/5*k**3 + t + 0*k - 2\/5*k**2 - 1\/5*k**4.\nAnswer: -k**2*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 23146*n\/5 + 878104\/5.\nAnswer: (n - 23108)*(n - 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1)*10\/(-20). Solve r - 4*p = d, 4*p + 4 = r + r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, p: 2, a: 4, h: 8, m: 1}. Give prob of sequence mp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 76.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2376, 2305, 2112, 1737, 1120, 201, -1080, -2783?\n\"Answer: -10*v**3 - v**2 + 2*v + 2385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 0.3, 3, 24, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 11, 0 = 7*s + 3*s + 2*s - 3*v - 33 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159 and 3355?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*b**3*m**2 - 3*b**3*m + b**2*m + 65*b*m**2 wrt b.\nAnswer: -150*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1 + 4*n**3 - 2*n**3 - 2*n + 2 - n**3. Let m(g) = -g**3 + g - 2. Determine 2*k(f) + 3*m(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - -5. Let d(c) = -5*c**2 - c + 12. Let l(k) = k**2 - k - 1. Let z(q) = d(q) + 6*l(q). Let f be z(7). What is the highest common factor of f and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*x**4 + 0 - 5\/4*x**2 + 85\/2*x - 85\/2*x**3.\nAnswer: 5*x*(x - 34)*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 15*d - 4. Let s(a) = 5*a**2 + 14*a + 5. Give 3*j(v) + 2*s(v).\nAnswer: -2*v**2 - 17*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/30 - 2*v**4\/9 + 11*v**3\/9 - 2*v**2 + 108*v. Suppose s(t) = 0. What is t?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/12 - 5*v**4 - 130*v**3\/3 + 83*v**2 + 3*v. Factor o(w).\nAnswer: 5*(w - 26)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286*i + 290*i**2 - 577*i + 291*i)*(i + 0*i + 0*i).\nAnswer: 290*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 1, q: 4, e: 1}. Give prob of sequence qe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -11. Let z(d) = 20*d**2 + 2*d + 1. What is the remainder when 55 is divided by z(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/2 - 6351*v - 896801\/2 = 0 for v.\nAnswer: -12631, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z - 2*z + 4*z**2 - 7*z**2)*(z**3 + 2*z**2 - 2*z**2).\nAnswer: -3*z**5 - 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:45 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:23 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2111\/7 + -302. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103253 - 500350?\nAnswer: -353053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*k**3 - 5238932*k**2 + 6985234*k - 1746308 = 0. What is k?\nAnswer: 1\/3, 1, 873154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5328 and -663058405.\nAnswer: -663058404.4672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 120 + 20. Let i = m + 35. Suppose 17*z - i*z = 210. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3696 (b) -0.17 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 15*t**2 + 2*t + 1. Let x(i) = i**3 + 8*i**2 + i + 1. Calculate -3*u(p) + 5*x(p).\nAnswer: -p**3 - 5*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937217 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.4, 0.1, -15.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -1.1968?\nAnswer: -1.2168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*x = -193, 17*d - 5*x + 221 = 20*d. Suppose -29*m - 369436 = -d*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80740125 + 2?\nAnswer: -80740123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 3320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**3 - 3 + 3)*(v + v + v) + 150 + v**4 - 4*v**2 - v**3 - 148 - 3*v**4 in the form j*v**4 + u*v + f + x*v**3 + w*v**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3 - 3 + 1 + 0*k - k**2 - 7*k. Let j be z(-5). What is the highest common factor of 40 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (4 + -3)) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 45*v. Let r(j) = 2*j**2. Calculate l(r(c)).\nAnswer: 90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13242 = 10*m - 7*m - 4*l, 0 = m - 3*l - 4419. Let n = m + -3146. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-200) - 1\/(-4). Is l equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3 - 30\/9). Suppose -q*a = -6*a + 3, -41 = -3*t - 2*a. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 10*r**2 + 6. Suppose -2*w - 1 = 13. What is the hundreds digit of h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 816*p**2 - 4*p + 5. Is s(1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -5 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.57*-0.03\nAnswer: 0.5571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + 1 + 1. What is the common denominator of p\/(-1) + (-103)\/(-10) and 71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/228 and 81\/6650.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 10*h - 1. Let d be c(9). Let q be (-1 + -2)\/(7\/(-28)). What is the units digit of q\/(-16) + 190\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/8 - 1497381*t**2\/4 + 5989545*t\/8 + 1123038 = 0.\nAnswer: -998256, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2986 - -6950. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/31? (a) 1 (b) 0.5 (c) -3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 - b + 2. Let s = 18 - 16. Determine q(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7164\/198 - 11 - 4\/22. Let h(f) = f**3 - 26*f**2 + 25*f + 18. What is h(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + h - 457 + 457 + 535*h - 6*h + 11*h - 2 - 4*h - 3 + 3 - 2*h + (-2 + 2 - 2*h)*(-1 + 1 + 2).\nAnswer: 531*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzkzzzz. What is prob of sequence zzkk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711204, 1422301, 2133388, 2844459, 3555508, 4266529?\nAnswer: 4977516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-6*sqrt(10)*2)*4.\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -574, -2268, -5078, -8998, -14022, -20144, -27358, -35658?\n\"Answer: u**3 - 564*u**2 - 9*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*q - 313*q + 17 = 4*n, -n = 3*q + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from kakkaakkkamaaaakk.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*d = -0*z + 6, 427*d = 5*z + 429*d - 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 8. Let y(a) = -a**2 - 9. Give 4*b(s) + 5*y(s).\nAnswer: 3*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q + 165*q - 83*q.\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*j**4 + 17*j**2 - 3*j - 19492 wrt j.\nAnswer: 336*j**3 + 34*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 718 - 211. What is the remainder when k is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/7*(-136053)\/54 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwke when four letters picked without replacement from {e: 1, k: 4, x: 3, w: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2593 or 0.1?\nAnswer: -0.2593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34738\/3 or 11580?\nAnswer: 11580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnynmlnlsmlsnsny. What is prob of picking 1 s and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 - 8*a - 19. Let h be m(-9). Let r = h - -39. Let p(s) = s**3 - 2*s**2 - 15*s + 6. Let g be p(r). What is g rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*w - u + 219, -3*w + u = -166. Suppose 3*g - 15 = 3*j, 5*g - g + 3*j = w. Is ((-8)\/g)\/(4\/(-110)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -32 - 66. Let z(d) = -d**3 - 3*d**2 + 4. What is the remainder when p is divided by z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 o, and 1 q when four letters picked without replacement from oyqqqqyqyyoyy.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/3 + d**2\/2 - d + 1. Let x be t(2). Let b be (-35)\/(-14) + x\/(-2). Solve b = -3*j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062145833.\nAnswer: 3, 7, 347, 145759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 879*d**3*w**3 - 4*d**3*w + 195*d**2*w**2 - 11*w**3 + 3*w - 1 wrt w.\nAnswer: 5274*d**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(88)*3 + sqrt(88)))\/sqrt(8))**2 - (-4 + sqrt(33)\/(sqrt(3)*-4)).\nAnswer: sqrt(11)\/4 + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124824 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 11*i + 8. Let c be b(-7). Let d be 1*(8 - (-3 + -5)). What is the greatest common divisor of c and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {l: 2, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from bunnbvvu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**7\/35 - 5*i**3\/3 + 10*i**2. Differentiate t(u) with respect to u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 293 = -14*s - 68, h - 3*s + 48 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76) - (sqrt(76) - (sqrt(76) + -3*(sqrt(76)*2 + sqrt(76)) + sqrt(76))))\/sqrt(4).\nAnswer: -7*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:24 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 18. Let d = -27 - -23. Let h be d\/(-3) - (-38)\/(-6). Calculate the lowest common multiple of 18 and m(h).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -222*p - 51. Let y(i) = -410*i - 103. Calculate -11*l(k) + 6*y(k).\nAnswer: -18*k - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30312120 (base 4) in base 11?\nAnswer: -365a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2699486 or -2699482?\nAnswer: -2699482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (20173\/(-1089342))\/(-1 + 4\/3)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 6 = -n, 5*t - 21*n = -22*n + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 195, 309, 461, 663, 927, 1265, 1689?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26948 and 0.12492583.\nAnswer: -26947.87507417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2702*b**2 - 7*b. Let o(v) = 3*v**2. What is j(o(s))?\nAnswer: 24318*s**4 - 21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Solve n - i*n = -3*w - 15, 0 = -2*w - n - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(42)\/sqrt(2))\/sqrt(3) - (sqrt(1008) + -1*sqrt(1008) + -3)**2.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + 1507. List the prime factors of o.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1806*t**2 + 5*t + 3. Let f(v) = 2708*v**2 + 8*v + 5. Calculate 5*f(m) - 8*q(m).\nAnswer: -908*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 9 = 7*b. Let t(x) = 7*x - x - 4*x**2 - 4 - 3*x**2 + x**3. Let y be t(b). Do y and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -9, 858 in decreasing order.\nAnswer: 858, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.54 + -47.54. What is the smallest value in i, -3, -4, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36675 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401 = -12*j + 5*o, -14*j + 4*o = -15*j - 29 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -41.6. Let u = -39.69 + p. What is u rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -31. Solve m + 3 = b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:30 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -21. Let k be 576\/56 + (-2)\/v. What is the second derivative of 5*c - c - k*c + c**4 wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -a - 95, 20 = -a - 3*a. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + z**2 - z - 1. Let d be f(1). Let q(o) = 7*o + 6. Let b = -103 + 202. What is the remainder when b is divided by q(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102.47 - 103. Let n = y + 0.33. Put 1\/3, n, 0.8 in ascending order.\nAnswer: n, 1\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 - 40*x + 18 + 40*x.\nAnswer: -13*x**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 830, 2754, 6496, 12662, 21858, 34690, 51764?\nAnswer: 73686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 0 - 3) + (85 - 3). What is the third derivative of 42*s + 72*s**2 + 6*s**4 - 2*s**5 + 41*s + 0*s**4 - l*s wrt s?\nAnswer: -120*s**2 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 divided by 409?\nAnswer: 729\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 11 = -4*p - 2*l, l = 2*p - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804 divided by -902?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/7 + 456*q**2 - 9977745*q\/7 - 19968234\/7 = 0.\nAnswer: -2431, -2, 1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abw when three letters picked without replacement from {x: 2, b: 7, w: 3, a: 2, k: 3, f: 1}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1311 + 1300 = -3*t, 4*t - 9 = -i. Factor 512\/7 + 18\/7*v**t + 192\/7*v.\nAnswer: 2*(3*v + 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(20\/(-8)) + -2. Let r(v) = v**2 + v - 9. Let y be r(-4). Let b be (y\/35)\/((-20)\/(-70)). Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a minute in seconds?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13234161 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 752 by -4.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2. Let s(x) be the first derivative of -2*x**3\/3 + 16*x - 1916. What is f(s(p))?\nAnswer: -16*p**4 + 256*p**2 - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjl when three letters picked without replacement from vlvllvvllllvvldlj?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11907 and 98?\nAnswer: 23814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/(-1085))\/((-4)\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-7))\/(-5))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1687*o**2 - 2*o + 8. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 37 = -508. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8*2)\/((-1)\/6). Suppose 0*k + j*k + 108 = 0. Let u = -34 - k. Solve 0*x = u*x - 2*r, 4*x + 3*r = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 - 5*v**3 + 5*v**4 + (3*v**3 + 2*v**3 - 6*v**3)*(-40*v - 38*v - 3 + 28*v).\nAnswer: 55*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -35, -60, -79, -86?\n\"Answer: y**3 - 6*y**2 - 14*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/210*1)\/(6\/15)*10101\/91?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11235042 (base 6) in base 8?\nAnswer: -1246002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -994, -1322, -1868, -2632, -3614?\n\"Answer: -109*s**2 - s - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 3.3\nAnswer: 0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3078530*s**6 - 2*s**2 + 64676.\nAnswer: -369423600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1865, 1859, 1845, 1817, 1769?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d. Let q(g) = -10*g. Let u = 41 - 49. Determine u*q(o) - 3*i(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:17 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - 180\/(-42). Suppose 0 = l*k - 3*x - 2*x - 45, 4*k - 10 = -2*x. Let t(r) = r**3 - 6*r**2 + 6*r + 1. What is t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (-26 - (-37 + 17)) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -22.6.\nAnswer: -4.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 126\/(-27))\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*f**3 + 81*f + 74*f**3 - 84*f + (-6*f - 3*f + 5*f)*(0*f**2 + 0*f**2 - f**2).\nAnswer: 152*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.88 take away -0.333312347?\nAnswer: 29.213312347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -17 (b) 2 (c) 392 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4189, 4139, 4101, 4081, 4085, 4119, 4189, 4301?\nAnswer: 4461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*g - 5 + 3)*(-6*g**2 - 2*g**2 + g**2).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671230359?\nAnswer: 3, 47, 719, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*f**2 + 2*f + 13*f**2 - 2*f + 636*f**3 - 1420*f**3 wrt f.\nAnswer: -4704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 <= 1676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398*w**3 + 1206*w**2?\nAnswer: -2388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let i = 52 + -48. Suppose 0 = -6*u + 2*u - 8. What is the nearest to u in f, i, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(2736)*-1 + (sqrt(2736) + -1)*-4 + sqrt(2736) + 3 + (2*(sqrt(2736)*-2 + sqrt(2736)) - sqrt(2736)))**2.\nAnswer: -336*sqrt(19) + 134068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -98793, 3 in increasing order.\nAnswer: -98793, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.9 to 0 decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 8}. What is prob of picking 3 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 7*f + 68 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + z - 2*z, -4*l + 5*l + 7*l = -3*z - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 55 = -j, -49 = 4*j - 3*f - 269. Suppose -4*r = -5*w + j, -4*w - 3*r + 5 = -8. Let m(n) = 3*n. What is the remainder when m(w) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -222*v**2 + 1884*v + 182. Determine z(9).\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l. Let b(x) = -x**2 - 17*x. Let d(t) = 3*b(t) - 7*c(t). Let y(m) = -m**2 + 2*m. Let r(s) = 4*d(s) - 10*y(s). Let a(h) = 4*h. What is a(r(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 84 - d - 22*d. Let h(p) = -15*p + 43. Let k(n) = 5*h(n) - 3*u(n). Differentiate k(l) wrt l.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 + 1. Let v be u(-1). Suppose -5*c - v = 12. Let d = 15 + c. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2589078087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 122*q - 179. What is the remainder when s(7) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {f: 1, a: 1, g: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:53 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3732.4 - -3731.36244. Let v = -1.04 - c. Round v to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.266961mg to micrograms.\nAnswer: 4266.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to 27066.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1401\/12 - 3\/4. Let x = o - 78. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 492.01 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 486588691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -8*m - 46. What is the remainder when 504 is divided by (m\/6 - 27\/(-2))\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 1. Let z(j) = 9*j - 3. Give 5*w(o) + z(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15911422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 2*a**2 - 3*a**2 + (2 + 0 + 0)*(a - 2*a**2 - a) + 0 + 2*a**2 + 0 - 5*a**2 + a**2 + 2*a**2 + (-4*a**2 + 5*a**2 - 3*a**2)*(2 - 7 + 3) + a**2 + a - a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 37 = 3*o + 3, -c + 49 = 5*o. Suppose -18*r = -o*r. Solve 4*q - 18 = -2*m, 2*m = -r*q - 2*q + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-44) - (-104)\/572. Let n be 45\/212 + (-1)\/4. Is n less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 435 + -433. Let r(w) be the first derivative of 5\/3*w**3 + 20*w + 4 + 10*w**x. Find c, given that r(c) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/7)*n*n**(-6)\/n)**(-40) assuming n is positive.\nAnswer: n**(1520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-3)\/(-45)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, i: 3, h: 7, j: 3}. Give prob of picking 2 i.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b54426 + 2?\nAnswer: 6b54428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 - 38)*(-3*q + 0*q + 2*q) - 1 + q + 1.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -914290*t**2 + 914330*t**2 - 48*t**3 - 28*t**3 + 4*t**5 + 32*t**4 = 0. What is t?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1109\/1275 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-three quarters of a microgram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*r**2 - 3*g*r - 18378*g - 1231*r wrt r?\nAnswer: 2*g*r - 3*g - 1231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*x - 5*o - 9 = 179*x, 15 = 5*x + o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.51883l in millilitres?\nAnswer: 34518.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 - 92*m\/3 - 544\/9 = 0. Calculate m.\nAnswer: -136, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-18)*(-1059)\/706*(-2)\/14.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/60 and 167\/3150?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1246 - 26105\/21. Find the common denominator of 167\/60 and t.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 24. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1366*r + 2*r**2 + 3616*r - 1643*r + 1)*(-3 + 5 - 1 + (-1 - 3 + 3)*(-3 + 3 + 2)).\nAnswer: -2*r**2 - 607*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17261, -17262, -17263, -17264, -17265, -17266?\n\"Answer: -t - 17260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 1)*(4*m**3 + 3*m**3 + 0*m**3).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ird when three letters picked without replacement from {i: 9, r: 1, d: 1, y: 2}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*z - 4, -4*s + 3834 = 2*z + 3822 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -2.4. Which is the second smallest value? (a) -0.08 (b) t (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -81\/4 (c) 1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:32 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9*l = -3. Which is the nearest to l? (a) 2\/5 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122011102010 (base 3) in base 7?\nAnswer: -2604630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540355098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 j, and 1 z when four letters picked without replacement from {z: 4, j: 1, m: 2, y: 1, l: 2, p: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**6\/9 - 88*d**5\/15 + 673*d**4\/6 - 7924*d**3\/9 + 6076*d**2\/3 - 5488*d\/3 + 32. Factor x(s).\nAnswer: 2*(s - 14)**3*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) + (303\/(-3300) - (-18)\/(-360)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*x**2 + 92*x**2 - 39*x**2 as f*x**2 + q*x + b and give f.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008576242 rounded to 7 dps?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51.3 + -72.3. Is -1.8 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25347846 by 87106.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b - 3*f + 4, 4*b = -5*f + 8. Solve 5*l + 15 = -5*c, -b*c + 3 = -5*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + h - 5, 2*o + 4 = h - 1. Solve 5*x - 4*i - 7 = 0, -3*i - 5 + o = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - f = 42 - 151, -55 = -3*b + 2*f. Let u = b + -11. Solve -u*s - 2 - 5*s**2 + 2*s**2 - s**2 - 4*s**2 = 0 for s.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybb when three letters picked without replacement from bwvbvbtyvt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 - -597. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 - 112 + 2*t - 64.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 87 = 48. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.14, -2, -0.46 in ascending order.\nAnswer: -2, -0.5, -0.46, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -0.1, 2\/5, 0.39, 0.01?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4*1 - -2). Suppose w = c + 4, -4*k - 3*c - 12 = -4*c. Is 2\/k - 18\/(-4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(304) - sqrt(304)) + sqrt(304) + -2)**2 - sqrt(304) - sqrt(304).\nAnswer: -40*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeam when four letters picked without replacement from arlmededm?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5 = 3*h - 7*h, 2*h = 5*f - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3634 and -49\/8556.\nAnswer: 675924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 16 = 4*h, 2*h + u - 8 = -0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 65835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 b when three letters picked without replacement from {b: 2, e: 1, h: 7, r: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 19. Let q be (-2)\/(-3)*(-5 - z). Suppose -f + 4 = 0, -4*w + q*f - 14 + 98 = 0. Calculate the remainder when 44 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (58 - 48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41862, -41863, -41864, -41865?\n\"Answer: -p - 41861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2943*g**3*l**3*z**3 - g**3*l**3*z**2 - 3*g**3*l**2*z**2 - 2*g*l**3*z**2 + 16*g wrt z.\nAnswer: 17658*g**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 838*p**5 + 2*p**3 + 436*p wrt p?\nAnswer: 16760*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -4, 77, -2\/13, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.17, -1\/2, -1, 0.1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100010110110001111111000 - 11?\nAnswer: -110100010110110001111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 229*x - 104. Suppose 22 = -3*o + 49. Is c(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*o - 23, -3*j + 3*o = 5*o + 4. Suppose 512 - 1692 = -j*u + 5*f, -f + 2316 = 4*u. Round u to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*f = -6409 + 36534, 0 = -3*f - 12. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*t + 3*t = 19*t + 37*t + 2600 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 9*x, 5*g + 3*x + 23 = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 3002090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 15*g**2 + 14*g - 2. Let h(u) = -2*u + 2. Suppose -4*t - 7 = 1, 3*p + 28 = -5*t. Let n be h(p). Let c be r(n). Put 3, c, 2 in descending order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 1. Let r be l(-2). Let w = -7 - r. Let q be (7 - 6)\/((-1)\/w). Solve -2*u = 2*u - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-22) + 24\/(-110). Let r = 11\/15 + g. Let d(w) = -w**3 - 9*w**2 - 9*w - 8. Let j be d(-8). Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*16\/24*3. Let m = -5 - -4.6. Let r = -3.5 + 3. What is the closest to -1 in m, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*v = 269*v + 2080. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 - -3?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:05 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12329602127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 135*340\/(-306) - -296\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 4. Let p be (-5)\/3*132\/(-110)*5. Let y be (-7 + 180\/q)\/((-18)\/p). Which is the biggest value? (a) -0.5 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 4*a + 0*a + 2*a**2 - 7. Let q be k(5). Let g = 31 - q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, 0, 631, 1684, 3147?\nAnswer: 5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 421887886 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26825036 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**7\/630 - 5*l**4\/2 - 15*l. Let z(g) be the third derivative of f(g). Let r(k) = -3*k. Calculate r(z(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359857662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 2 k when four letters picked without replacement from pqbpbbqpknknbnqqqnb.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Let t = 11 - n. What is the third derivative of 0*g**t - g**2 + 3*g**2 + 2*g**5 wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -7 (c) -4 (d) 4\/3 (e) 1 (f) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 476942369 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10. Let w be (-3 + -1)*((-3)\/12 - d). Solve 6 = w*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 50?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 351534050 divided by -25\nAnswer: -14061362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-10)\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(1100)*3 + (sqrt(1100) + -1)*-2 + -1)*-5.\nAnswer: -200*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14517265 divided by -414779.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 683 and -1809.87.\nAnswer: -1126.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 306744900 rounded to the nearest 1000000?\nAnswer: 307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.85979l?\nAnswer: 45859.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2*m - 3)*(2*m + 0 + 0) - 2*m**2 + 0*m**2 + 0*m**2)*(2 + 1 - 2 + (4 + 0 - 5)*(3 + 0 - 1) + 1 + 1 + 0) to the form u*m + o*m**2 + b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39332002.\nAnswer: 2, 929, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-9 + 10 - 10)*(10*g - 44*g + 4*g + 9*g).\nAnswer: 189*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 147 = 6*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.658053 + -0.458086. Let z = 0.2 - r. What is z rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 46692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -7. Let i be ((-12)\/21)\/((-10)\/35). Suppose -2*s - 2*u - u = 11, 0 = i*s - 4*u - 10. Which is the closest to 4? (a) 0.5 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 15235*m**2 - 15230*m.\nAnswer: -5*m*(m + 1)*(m + 3046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 120*l**2 - 105*l + 1918. What is x(-121)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5\/6, -0.02, 4, -0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*v - 14, 4*v + 3 = -3*m - 8. Let l be (0\/(-2))\/2 + 3. Which is the nearest to 0? (a) 2\/13 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127513112.\nAnswer: 2, 409, 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 8 + 8. Let l = 2.7 + -3. Put k, -4, l in descending order.\nAnswer: k, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}