diff --git "a/data/dm_maths/full_data/10875_11255.jsonl" "b/data/dm_maths/full_data/10875_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10875_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from {n: 13, x: 6}. Give prob of sequence xx.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84474, -168965, -253456, -337947, -422438?\n\"Answer: -84491*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (7 - (-7 + 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55\/25 + 1\/(-5). Suppose -r + 39 = u*r. Let p(q) = -q - 1. Calculate the remainder when r is divided by p(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99965978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10*y = 12*y + 13, 0 = 4*y + 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(95))\/sqrt(5) - sqrt(19) - (sqrt(228)*-1 - sqrt(228))\/sqrt(12)) + 0)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202022020012 - 11?\nAnswer: 202022020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {g: 1, a: 11, e: 2, h: 2}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 60 = 4*v + 4*r, r - 26 = -2*v. Suppose -v*m + 30 = -5*m. Put 3\/22, 2, m in descending order.\nAnswer: m, 2, 3\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/((-72)\/180). Determine u so that 52*u**2 - 337*u**4 - 4 - 44*u - 303*u**4 + 44*u**p + 592*u**4 = 0.\nAnswer: -1, -1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1925, 1599, 1287, 995, 729?\n\"Answer: p**3 + p**2 - 336*p + 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -833*4.\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 12*a**2 - 17*a - 19. Determine p(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9373.877 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015650212 to 5 dps.\nAnswer: -0.01565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 50*k + 1102. Let o be d(-22). Solve -13 = f + 3*t, -3*f + 18 = -6*f - o*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 4023?\nAnswer: 4023.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/(-78) + ((-3)\/(-2))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 23 (b) 1\/4 (c) -0.5 (d) 5\/183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*a**3 - 196*a**3 + 433*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8897396.\nAnswer: 2, 19, 117071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*v**5 - 24944*v**3 - 670519*v**2 - 3*v.\nAnswer: -780*v**2 - 149664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2760 greater than -2760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 84*(-4 + 60\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q + 4*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -35*q**3 + 2*q**2 + 10*q + 11. What is the hundreds digit of i(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (9 - (-13 + 11 + 2 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3915.6 + -3915.583809. Let g = 0.016 - a. Round g to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z**(-16)*z))**(1\/8) assuming z is positive.\nAnswer: z**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10*(-48)\/28. Let o = 363946 + -25475603\/70. Let y = o - j. Calculate the common denominator of y and -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2261*w = -2257*w + 4*b - 32, -28 = -3*w - 4*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + (-13 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/7))**(-1\/15)*w**8\/w**(-3\/2))\/((w*w**0)\/((w*w\/w**(-12)*w)\/w))**42 assuming w is positive.\nAnswer: w**(23329\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-39) + 6231\/403 + (-3)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -95, -104, -115, -128, -143?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 973*j + 3. Let x(s) = -6*s**2. Give b(x(i)).\nAnswer: -72*i**4 + 5838*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1307550000 to the nearest 1000000.\nAnswer: -1308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2 + 124*r + 1922\/5.\nAnswer: 2*(5*r + 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6921937\/(-5881)*1\/(-11).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 11*t**2 - 6*t - 4. Let o be m(-9). Suppose -3*v + v - o = 0. What is the tens digit of (-2)\/(-9) + v\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 1 = 9*i - 9 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 22*p = -n, 2*n = -2*n + p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = 2. Suppose y + 13 = 4*f. Suppose 0 = f*w - 7*w + 36. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6390.935t in grams?\nAnswer: 6390935000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-18)\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 - 9*o + 2. Let u(b) = -3*b**3 + 5*b**2 - 18*b + 5. Let w(t) = -5*c(t) + 2*u(t). Solve w(q) = 0 for q.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:10 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3*l = -24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a153 + -1?\nAnswer: 12a152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5, 83 = 51*j - 47*j - 3*x. Solve -327*n + 332*n + k - 5 = 0, -4*k = -n - j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769306331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0351771 - -0.78.\nAnswer: 0.7448229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.86635049 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + 2 + 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000318803 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898326723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578\/5*p - 3\/5*p**2 + 0 = 0.\nAnswer: 0, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 588 + -128. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 7, -6 in decreasing order.\nAnswer: 145, 7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.61431 millilitres?\nAnswer: 0.06861431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 - 17*k - 33 + 6*k**2 - 19*k**2 + 5*k**2. Let v be p(-14). Solve 4*b + v = 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 + 457 - 18*y - 229.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000230575 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 23) + 17 - 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683 less than 4?\nAnswer: -3679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-18))\/((4\/10)\/((-54)\/(-15))). Sort 108, 0.2, q, 1\/3, -0.3 in ascending order.\nAnswer: -0.3, 0.2, 1\/3, q, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 34 = t, -5*t - 3*s + 70 = -92. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 14) in base 10?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2 - 2. Suppose 0 = -0*l - j*l. What is the units digit of 5\/10*(l + 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, g: 9, l: 1, d: 1}. What is prob of sequence gn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151754.\nAnswer: 2, 23, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 2*o + 27. Suppose -b - i - 22 + 309 = 0, -o*b = 2*i - 860. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1320\/(-110))\/(3\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)*2\/(-4). Suppose 4*g = -n*g + 20. Suppose 2*c - 1 - 27 = 0. What is the remainder when c is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/360 - b**5\/120 - 17*b**3\/6 - b**2. Let t(m) be the first derivative of q(m). Factor t(x).\nAnswer: x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 9)*(72\/(-44))\/(-3) and 5\/6*13\/(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9ea + -13?\nAnswer: -9fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o + 2. Let u(z) = -2*z - 1. Suppose -15 = -0*q - q. Let d = q + -23. What is d*u(x) - 3*s(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*w + 3*w - 5*n, w + 4*n = -9. Let m be -24 - 5\/((-25)\/(-2))*-5. Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12988816*w**2 + 17515440*w + 5904900.\nAnswer: 4*(1802*w + 1215)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 6 + 82 + 120 = -44*k for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 5*u. Let g(i) = -i**2 - i. Let t(z) = -2*g(z) + m(z). Let l be t(2). Let c = l + 0. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295843\/12 + 24654. What is the third smallest value in s, -2\/9, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*1)\/((-23)\/(-414)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/7, -0.3, -440547, -1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -531960 by -8580.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 221412423 (base 5) in base 14?\nAnswer: 1b239b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 546062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 2 d when four letters picked without replacement from {h: 5, c: 3, u: 3, k: 1, j: 1, d: 6}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, b: 5}. Give prob of sequence be.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 9*b - 2 = 0. Suppose -3*k + 15 = 0, d - 4*k = -2*k - 5. Suppose b*y + y = -c + 155, 0 = d*c - 10. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 20. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486*515\nAnswer: -250290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314*k + 114 + 2*k**4 - 44 + 41*k - 4*k**4 - 123*k wrt k.\nAnswer: -8*k**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**6\/420 + m**4\/84 + m**2\/2 - 3. Let n(y) be the second derivative of d(y). Factor n(k).\nAnswer: -2*k*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/5 - 208*d**4\/5 - 7022*d**3\/5 - 17048*d**2 - 263192*d\/5 - 238336\/5 = 0?\nAnswer: -49, -32, -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12847*s - 12847*s - 20 = -5*x, 9*s = 5*x + 43 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -46323 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -349, -701, -1235, -2011, -3089, -4529, -6391?\n\"Answer: -10*f**3 - f**2 - 157*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 + -3?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Suppose 455 = s*p + 5*h, p + 4*h = 3*p - 158. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5138 + -4114. Calculate the remainder when o is divided by 206.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) -61\/4 (b) 4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 30. Let w = -7 + 4. Sort 0, l, w.\nAnswer: l, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10312101320 (base 4) in base 2?\nAnswer: 100110110010001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5118 or -5084?\nAnswer: -5084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2721232 is divided by 1490?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4 - 4)*(-3*t + 2*t - t)*(-112*t - 54*t + 29*t).\nAnswer: 548*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5339.\nAnswer: 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 20 = 0, -3*d + g + 26 = 0. Let y = d + 2. Let r = -3640 - -3645. Solve -32 = r*s - y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3220771968 to the nearest integer?\nAnswer: 56752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 59. Suppose 2*s + t - 30 = -4*t, -3*t - b = -5*s. Let g(l) = -l - 2. Let r(o) = 2*o + 3. Calculate s*g(c) + 6*r(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166759, 166566, 166373, 166180, 165987?\nAnswer: 165794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7715?\nAnswer: 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-3*g + 0*g + g)*(14*g**3 + 9*g**3 - 33*g**3) in the form l + d*g**4 + n*g**2 + t*g**3 + w*g and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658242 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*((sqrt(77) + (sqrt(77)*4 - sqrt(77)) + sqrt(77))*3 - sqrt(77)))\/(3*((sqrt(99)*1)\/sqrt(9) - -2*sqrt(176))).\nAnswer: -28*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -14. Let j be (-4)\/(-4) - (-2 - -10). Let q = j + 9. Solve 0 = 3*h + q*m - 12, -n = 4*h - 4*m - 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 19418000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {q: 2, z: 7, g: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*x + 87*x + 623*x**2 - 167*x + 504*x**2 to the form h*x**2 + t + i*x and give h.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + 4 + sqrt(468)*-1 + ((sqrt(468) + sqrt(468) + 1*sqrt(468))**2 + -2 - sqrt(468)) + (-2 + 6*-2*sqrt(468))**2.\nAnswer: 276*sqrt(13) + 71610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 2 + (sqrt(17) - (sqrt(153)*3 - sqrt(153))**2).\nAnswer: -610 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 245 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 500*g + 1920 = 0.\nAnswer: -96, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -149.37. Let n = -139.23 + 140. Let r = l - n. Which is the nearest to 8? (a) -2 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920\/(-48)*(-5)\/70*-7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*n + 6*c - 4, -5*c = -n - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, 2*w + 3*z + 0 = 8. Suppose 5*l - w*l + 78 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 100. Let a(g) = g - 51. Calculate -5*a(s) - 3*d(s).\nAnswer: s - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16243.983ns in weeks?\nAnswer: 0.0000000000268584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/58)\/((-4)\/(-2))*-3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**2 + 213*v + 25 - 213*v + 5*v**3 wrt v.\nAnswer: 15*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*f + 230 - 3 = -89 - 878, 0*z - 8*f = 2*z - 3*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-40)*2\/(-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 4*k**2 + 10*k + 2. What is m(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 less than 1095.60645715?\nAnswer: 1154.60645715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121121 + 1001001?\nAnswer: 2122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*f - 2*f - 63, 5*m + 15 = 0. Let i be ((-12)\/(-14))\/(f\/63). Sort 1\/6, i, -0.57 in descending order.\nAnswer: 1\/6, -0.57, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 859, 5, 2\/21, 4\/45, 0.06 in descending order.\nAnswer: 859, 5, 2\/21, 4\/45, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.86 + -4.86. Which is bigger: -1.1 or n?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 5. Let w = h + -8. Let a = w + 4. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162.9 times 5\nAnswer: -814.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1\/2 (c) 46989 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/175337 and -27\/5176.\nAnswer: 1402696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*p + 16*p**3 - 17*p**3 + 172*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 15, -3, 5 in ascending order.\nAnswer: -12, -3, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 4\/3, 4\/335, -0.4, 3\/2, -0.01?\nAnswer: 4\/335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3017+-5\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 29*r**3\/6 + 36*r**2 + 37*r. Find the first derivative of n(c) wrt c.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3 - 9*r + 9*r**3 + 33\/4*r**2 - 21\/4*r**4 = 0?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g + 6 - 14 + 2*g. Let t(y) = 5*y**3 - 2*y**2 + y. What is the smallest common multiple of t(1) and l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012934 is divided by 14467?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1334 + -11516253?\nAnswer: -11520620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 2\/(-7) - 820\/(-28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -3f32d54?\nAnswer: -3f32d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*r + 19 = 0, 0 = -4*t + 8*t - 3*r - 39. Suppose t*i - 2*i = 52. Let m(w) = -w**3 + 4*w**2 + w - 2. What is the remainder when i is divided by m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x - 6*x - 2*x + 2*x**2 - 3*x**2 + 9. Let z be r(-9). Let s = 9 - z. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -60. Suppose -n*h - 4*m + 16 = 0, 8 = 5*h - 2*h - 2*m. What is the third derivative of -32*g**h - 8*g**3 + 3*g**3 - 6*g**2 + 5*g**3 wrt g?\nAnswer: -768*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19130*t + 6 + 126 - 132 as k + l*t and give l.\nAnswer: 19130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -436357330*r**3 - 13810*r**2 - 15925*r.\nAnswer: -2618143980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 - -454. Let i = 652 - q. Solve -i = -5*f + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94038.68 nanometers to micrometers.\nAnswer: 94.03868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6956 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245871 is divided by 281?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-12 + 15)) + 19 - 36.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 748 = -373*h + 582. What is the closest to -0.2 in 2\/5, -2\/15, -31, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-363)\/11*1*(-4)\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**3 - 104*q**2 - 108*q**2 + 412*q**2 - 113*q**2 - 87*q**2.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5673*y**2 + 47*y - 130. Let v be i(-51). What is v rounded to the nearest one hundred thousand?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -2*y + 8, -12 = -4*n - 4*y - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(0 + g + 0) + (3 - 3 - 3*g)*(-1 + 2 + 1) + 15*g + 90*g - 7*g.\nAnswer: 94*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 8 = 0. Let s be ((-1)\/w - 0) + 0. Which is the closest to s? (a) 0.4 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -500 - 13?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1077\/6 - (-1)\/2. Let k be 15\/c*-8*(-9)\/2. Find r, given that 3*r + 5\/3 + r**2 - 1\/3*r**k = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/12*(-9)\/30. Let d = 44.7 - 45. Let r = 0.2 + -0.3. Which is the closest to y? (a) 4 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 2. Let t = -1517 + 1519. Let h(z) = -6*z + 3. Determine t*h(w) - 3*o(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -2 + 1\/12*c**4 + 0*c**3 + 0*c**2 - 46*c. Let v(a) be the first derivative of a**3 + 1. What is d(v(i))?\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 200220002220 (base 3) to base 9\nAnswer: 626086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/3 + (-6)\/9. What is the third derivative of -2*f**2 + 6*f - 6*f + 2*f**6 - f**u wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8848 + -3800. What are the prime factors of h?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-21 - -7) - (0 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6723\/918)\/((-12)\/4) and 45\/374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10692\/325 + -734\/25. Find the common denominator of y and -7\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a century in months?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let h(n) be the second derivative of 0 - 50*n + 19*n**2 - 1\/6*n**4 + 0*n**3. What is b(h(c))?\nAnswer: -4*c**4 + 152*c**2 - 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3316960\/297 + 11168. Calculate the common denominator of 41\/135 and b.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41000\/540 - (-4)\/54. Suppose -3*j + 62 = -2*f, -4*f = 9*j - 5*j - y. What is the remainder when j is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 3 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 2*p**2 - 3*p - 2. Let o be x(-4). Let f = -22 + o. What is the tens digit of 8\/f - (-1456)\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 20 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1230 and 8748006?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3 - 5*c*p - 4*p + 1 wrt c.\nAnswer: -3*c**2 - 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/2444*47)\/((6\/3)\/(-42)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/2038619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 194 - (35 - 33) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 13. Let l(k) = -2*k**a + 9*k - 9*k. Let n(w) be the third derivative of -7*w**4\/24 - 88*w**2 - 2. Calculate l(n(y)).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 487106147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1824.74141 + -1879.741. Let d = -24 + -31. Let v = s - d. What is v rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + h)*(h - 5*h + 2*h) + 2*h**2 - 10*h**2 - 8*h**2 + 2*h - 2*h - 2*h**2.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.99 + -2. Let i = -3.619 + 3.6290064. Let n = p + i. What is n rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (20 - -53) + -18 + -23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14661 + -1517?\nAnswer: -16278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9*l**2\/l)\/(l**(1\/4))**(-3\/10) assuming l is positive.\nAnswer: l**(403\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 0*o**2 + 1\/4*o**4 + 0 - 1\/4*o**3 + 0*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155 - 140) + (-3 - -5) + -1 + -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43854.86 from 116.08.\nAnswer: -43738.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*w**4 - w**3 + 703*w + 322900 wrt w.\nAnswer: 132*w**3 - 3*w**2 + 703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a factor of 370592593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3630, -3475, -3236, -2925, -2554, -2135, -1680, -1201?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0211386 and -2.\nAnswer: -0.0422772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.5 + 31. Let x = 4.46 + r. Let j = x - -9. Sort -0.1, -0.4, j in increasing order.\nAnswer: -0.4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(98)*-3)**2)*2 + ((3 + sqrt(98) + sqrt(98)*-2)*3)**2.\nAnswer: -378*sqrt(2) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496733700 rounded to the nearest 100000?\nAnswer: 496700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + 46.12. Let g = 46 - o. Let y be (12\/10)\/((-8)\/(-5)). What is the smallest value in y, g, 0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t + 0*t + 0)*(-158*t**2 - 54*t**2 + 29*t**2).\nAnswer: -183*t**3 + 183*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9852, -19705, -29558?\nAnswer: -39411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 7110, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 3. Let a be 10\/(-4)*18\/15. Let i be ((-1)\/a)\/((-1)\/9). Give r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0275921 millilitres to litres.\nAnswer: 0.0000275921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 61*w**2 + 5. Let i(l) = -23*l + 1491. Calculate i(g(o)).\nAnswer: -1403*o**2 + 1376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 717, 721, 751, 819, 937, 1117, 1371, 1711?\n\"Answer: 2*u**3 + u**2 - 13*u + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185.09 - 189. Let y = d + -0.09. Sort -1\/3, 1, y.\nAnswer: y, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80905?\nAnswer: 5, 11, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 5*w - 63. Let z be i(-6). Let j(m) = 257*m**3 + m**2 + 6*m - 25. Is j(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325009647500 take away -15?\nAnswer: 325009647515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -7*g**2 - 43*g\/2 + 57\/2 = 0.\nAnswer: -57\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 - 19307*w**2\/7 + 93430931*w\/7 - 2323722025\/7.\nAnswer: (w - 9641)**2*(w - 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let b = -0.2 - o. Let m = -3.9 + -0.1. What is the second biggest value in m, -5, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 1. Let w be z(-2). Let j = 182 + -176. Put -5, w, j in descending order.\nAnswer: j, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(468)\/sqrt(36) + (1*sqrt(156)*-1)\/(sqrt(108)*-3))**2*2.\nAnswer: 78650\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {h: 2, c: 3, d: 2, t: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1794*i + 60*i**2 - 61*i**2 + 1794*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 - 102*y + 912.\nAnswer: -3*(y - 8)*(y + 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 6)\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -2*h**7\/105 - h**6\/30 + 151*h**5\/60 - 59*h**4\/24 - 55*h**2 - 17. What is the second derivative of q(m) wrt m?\nAnswer: -48*m**2 - 24*m + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -245. Solve 40 = 8*y + a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:03 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 930 - 27. Let z = 34 - h. List the prime factors of z.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 37*s - 8. Let w be b(-12). Suppose 5*u - 80 = -5*p, w*u - 7 = -p + 9. Solve -2*o - 5*r = -p, 3*o + 9 = -3*r + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Let z = -48 + 76. Let u(y) = -16*y - z*y + 14*y + 0*y. Calculate d(u(m)).\nAnswer: 1800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1318427 > -1318787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -873170, -1746309, -2619422, -3492509?\nAnswer: -4365570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbbba. Give prob of picking 1 a and 2 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 45*i = -78*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 114877?\nAnswer: -114877.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(n - n + 2*n) + (-3 - 4 + 3)*(-5*n + 2*n + 4*n + n - 2*n - n + (n + 0*n - 2*n)*(4 - 2 - 1) + 2*n + 2*n - 2*n + 3 - n - 3).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*j - 43 - 1204. Suppose 249 = 2*o - j. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*v - 7 = 0, -v - 13 = -3*q - 6*v. Let i(d) = -d**5 - 2*d**4 + 3*d**2 - 3. Let c(l) = -l**4 + l**2 - 1. Let f(m) = q*i(m) - 3*c(m). Factor f(j).\nAnswer: -j**4*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 28*i**2 + 41*i + 4. Let h(d) = 19*d**2 + 29*d + 3. Let k(g) = 7*h(g) - 5*u(g). Calculate k(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6161955 litres?\nAnswer: 616.1955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(-4 - m + 4) + 27 + 8*m**2 - 27.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400789750?\nAnswer: 2, 5, 1603159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-3)\/(-9)). Let p = t - -1. Let h(b) be the first derivative of 5*b**2\/2 + 60. Let u(i) = -i. Calculate p*h(j) - 4*u(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -301\/225990 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (20 + -3 + 1). Let u = -9 - p. Calculate the common denominator of -133\/18 and u\/3 - 146\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4575a54 (base 11) in base 15?\nAnswer: -a80e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3*t**5\/2 + t**4\/6 - 158*t**3\/3 + 255*t. What is the second derivative of k(y) wrt y?\nAnswer: 180*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26*f**2 - 6*f - 37. Let g(j) = -24*j**2 - 5*j - 38. Give -5*g(c) + 4*x(c).\nAnswer: 16*c**2 + c + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -58. Suppose 0 = 3*y - 0*y + 4*u + 52, y = -3*u - 19. Calculate the smallest common multiple of 3\/(-6*4\/y) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -2505, 16, -7 in descending order.\nAnswer: 117, 16, -7, -2505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496309 and 61858149.\nAnswer: 680439639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 167 = -3*u + 7*u, -3*i = -u - 187. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/6164 + 1257423\/67804. Let x be -4 - -1*21725\/(-1452). Let f = r + x. Calculate the common denominator of f and 79\/178.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (626 - 6)\/(-2). Suppose y = 10*s - 61. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 407 + 14487?\nAnswer: 15005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*z + 5*z. Let b = 39 + z. What is the lowest common multiple of b and 26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9183000 to the nearest one hundred thousand.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/60)*u*u\/u**(12\/5))\/(u**(14\/5))**(7\/11) assuming u is positive.\nAnswer: u**(-1451\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/294 - -97\/294. Let i = -296\/195 - -18\/13. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 23. Let b be a(-5). Let n be (-588)\/((-6)\/175*b\/(-140)). What is n rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**8)**(-2\/13)*l**6*l**1 assuming l is positive.\nAnswer: l**(71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 46. Let y = i + -12. Calculate the highest common factor of 108 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56983649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 13*t**3 - 2*t**2 - t + 3. Let r(o) = 23*o**3 - 5*o**2 - 3*o + 6. Let g(n) = 2*r(n) - 5*x(n). Let m(d) = -d**3 - d - 1. What is -g(q) + 2*m(q)?\nAnswer: 17*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = l - 21, 2*l = -l + 2*n + 42. Suppose -o = 8*o - 324. Calculate the greatest common divisor of o and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/138 and -7\/1043832.\nAnswer: 1043832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 6*g - 9. Let k be x(-3). Let u(d) = 2*d + 1465. Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 54. Suppose -o*g + 0*g + 10500 = 0. Let z be (0 + g)*(-10200)\/(-9). What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 3) in base 8?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + w + 5 + 21 = 0, -4*w = -4. Let a(b) = -5 + 5*b + 10*b - f*b - b**2. Let d be a(5). Solve 5*v + 2*n + 24 = 0, d = -5*v + v + 3*n - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104689199?\nAnswer: 104689199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2920 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*p - 18, -64 + 0 = 4*v - 4*p. Let d be (-3)\/v*6*(6 + -1). Solve 2 = -4*h - d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-14)\/(j*j**(-2\/39)))\/(j**(6\/5)*j**(-23)))**(-26) assuming j is positive.\nAnswer: j**(-2672\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.96959 rounded to the nearest integer?\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 3*f - 3 + 5 + (4*f - f - f)*(3 + 1 - 3) + f + 2*f - f - 4*f + f + f - f - 3*f + 5*f + 4*f - 3*f + f.\nAnswer: 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 4. Suppose h = 3*c - 10, -3*h = 14 - 2. Suppose 3*q - 14 = 2*u, -2*q - q - 5*u - 14 = 0. Let s be (q - -4)\/((-4)\/c). Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*d**2 - 293*d + 589*d + 178*d**2 - 298*d to the form z*d**2 + w*d + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**8\/3024 + c**7\/630 + c**6\/540 - 7*c**2\/2 + 8. Let o(q) be the second derivative of g(q). Factor o(s).\nAnswer: s**3*(s + 1)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 4*x**2 - 3*x + 2. Let c be y(3). What is the tens digit of (-106)\/(-3) - c\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136669.852782 - -136670. Let w = z + -0.147. Round w to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-348)\/(-24))\/(-29))\/(18\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, j: 2, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*y - 28 = 0, 5*u - y - 40 + 15 = 0. Let p(g) = -g - 4 + 3 - u + 4. Let r be ((-2)\/(-5))\/(2\/(-10)). What is p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkzkkkzkkkkkkkzzk. What is prob of picking 1 k and 2 z?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -306.95518 to 0 decimal places.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose g*n = -2*n. Suppose -54 = -3*d + 3*v - n*v, d - 10 = -v. Solve -2*u - 4*r = d - 0, 3*r = 3*u - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945\/(-75)*(-300)\/270?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10366 and 85271?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 169730*446\nAnswer: 75699580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 153 + -141 + (-128)\/10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 29. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (50 + (-14 - 14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 6*l + 5*l)*(-1 + 2 - 2)*(-87 + 41 + 50 - 211*l**2).\nAnswer: -633*l**3 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, 51, 12, 1878, 3 in descending order.\nAnswer: 1878, 51, 19, 12, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -11*b + 6*b. Suppose 0 = 4*y - b*y - 12. What is the remainder when -3*4\/y*9 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:25 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 4, 0.3, 54\/31, 23 in decreasing order.\nAnswer: 23, 4, 54\/31, 3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*l = 0, -l = -4*h - 6*l - 5. Suppose -4*m + h*m = 10. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253129 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*14\/(3038\/(-31))*4\/(-22)*2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9621270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1388*y**5 + 872*y**4 - 1456628*y**2?\nAnswer: 83280*y**2 + 20928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 696*o - 12524. Determine w(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = 5*f - 515. Solve 0 = -f*o - 28 + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let g be 3 + (k + -8 - 0). Let u(m) = 0*m + 0 - 3*m + 2*m - 1. Give u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 > 127051\/293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149227826?\nAnswer: 2, 11, 6783083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2)\/(25 - 19).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.45 + 0.05. Let l = 26.4 + t. Let n = -23.1 + l. What is the second biggest value in n, -3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1916\/313 > 0.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (7 - (4 + -1)) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 2. Let a(s) be the third derivative of s**5\/15 + s**4\/12 + s**3\/6 + 2*s**2. Let l be a(-1). Suppose p + 2 = l*d - 10, p + 4 = d. Determine z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 17*u + 3*o = 311, -2*u - 5*o + 159 = 0. Differentiate -u - 18*c + 27*c**3 - 21*c**3 + 18*c with respect to c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*113268.\nAnswer: 1812288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Suppose x - h*x = 0. Let w(r) = x*r - r + 4*r + r. Let y(n) = -2*n**2. Calculate y(w(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o - 60 = -240 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 + 2. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96696 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (0 + 5 - 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -1 - 19. Suppose 0 = -m*q + n - 13, -2*n - 3*n - 15 = 0. Let r = -2 - q. Solve 4 = r*i - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 0, m - 10*c + 2 = -9*c. Let j be (-45)\/(-10) + 3\/(-6). Suppose -l = j*l - m*y - 418, 168 = 2*l - y. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 at most -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 4*q**2 + 13*q - 5. Let o be u(5). Let l = o - -93. What is the smallest common multiple of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 81*k**2 - 5*k + 19. Let o(y) = -81*y**2 + 4*y - 16. Give 4*a(l) + 5*o(l).\nAnswer: -81*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 213?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32393 - 2*g - 32393 - g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8.88131 + -0.2\nAnswer: 8.68131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.4, 2\/5, -0.04, -4 in descending order.\nAnswer: 2\/5, 2\/9, -0.04, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is dc78a (base 15) in base 4?\nAnswer: 2222332222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(1\/(-3))\/(2\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and -3110549.\nAnswer: -214627881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 0, -4*b + j = -18. Solve 2*h - 5 = 3*n + b, -4*h = -n - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -w, 7*u - 3*u + 78 = -5*w. Let t be 1 - w\/(-22)*2. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {u: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*(-4)\/3. Let d(y) = -1 + 3*y**w - 6*y**2 - 9 + 2*y**2 - 8*y. What are the prime factors of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 666*y**2 + 4491*y**2 + 3*y - 4 + 535*y**2 - y + 4797*y**2. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -2, 1122, -3, 10 in decreasing order.\nAnswer: 1122, 10, -2, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3 - 2*n**3 + 6*n - 2*n**3 + 2*n**3 wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvb when three letters picked without replacement from {v: 5, b: 13}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158317643.\nAnswer: 11, 479, 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6*n - 448 = 0. Let s = n + 60. Solve b + s = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153132 divided by 4?\nAnswer: 38283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.112 + 362.112. Let x = 361.238 - k. What is x rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*h + 571 + 66, 4*k + 652 = 5*h. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59636297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*o + 5*f, 0 = 3*o + 50*f - 45*f - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 473*w**2 - 639*w - 417. Give i(-159).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-2\/7)\/j))*j)\/j*j*j**(2\/3)\/j)**(-7)\/(((j*j**1\/j*j)\/j)**(5\/13)\/(j**2)**(-46)) assuming j is positive.\nAnswer: j**(-3434\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 665*n**4\/6 + 635*n**2 + 360*n - 3. What is the first derivative of u(q) wrt q?\nAnswer: 2660*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 - (4 + -19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - j - 5614, -s - 248*j = -252*j - 1853. Are 16852\/9 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*n*w**3 - 4*n*w**2 - 2*n*w + 17920*w**3 - 2*w**2 + 13747486*w wrt w?\nAnswer: -564*n*w - 8*n + 107520*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52222, 51538, 50398, 48802, 46750?\nAnswer: 44242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = 2*o, -4*n - 1 = 4*o - 9. Let x(i) = i. Calculate x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131617 times 1814?\nAnswer: 238753238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10283642 is divided by 3365?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 + 10327?\nAnswer: 10366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1)*(2*j + 0*j + 0*j + (-3 + 2 + 3)*(j + 0 + 0) + 2*j - 2 + 2 - 20*j + 8 - 8) in the form b + u*j and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from usfsfd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001215913 to 5 dps.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.3494 litres in millilitres?\nAnswer: 42349.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 9 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 11*s**2 + 1920*s + 1. Determine j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19915765, 19915764, 19915763, 19915762?\n\"Answer: -x + 19915766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035483 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -105, -123, -159, -219, -309?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 98*n**3 + 1910*n**2 + 10750*n + 19500.\nAnswer: -2*(n - 65)*(n + 5)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42056003?\nAnswer: 11, 29, 131837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + -3 + 5 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((525\/6)\/(-7))\/(-1 + 10070403\/10070400). Round t to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -70. Solve 3*g + c = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -113334, -113332, -113330, -113328, -113326?\n\"Answer: 2*s - 113336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:19 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -0.2 (c) 0.032 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9*t - 208 = 0, -7*t + 5*t + 312 = 3*m. Solve m*h + 7 = 97*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -43*h**6\/12 - 37*h**3 - 254*h**2. Differentiate o(r) with respect to r.\nAnswer: -1290*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35743, 2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485*g**3*k + 2*g**3 + 2*g**2 + 2*g - 7*k wrt g.\nAnswer: 2910*g*k + 12*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 49 - (-41 + -5)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 30*m**2 - 22*m + 261. Calculate d(-31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:16 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*w**1))\/w))**18*(w**6\/w)\/(w*w\/(w**(-1\/3)\/w))*(w*w**(-2\/5)*w)**(-1\/8)\/(w**(3\/2)*w*w**(1\/4)*w*w) assuming w is positive.\nAnswer: w**(3043\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15825669 - 3268700.\nAnswer: -19094369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(sqrt(567) - (-1*sqrt(567) + -4))**2*4*5.\nAnswer: 23040*sqrt(7) + 365440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 31. What is the tens digit of t(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a*a*a*a*a*(((a**(-2\/9)\/a)\/a)\/a)\/a*a)**(-2\/23)\/((a\/(a**2*a))**(18\/7))**(-2\/67) assuming a is positive.\nAnswer: a**(-97448\/97083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {q: 3, s: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*w + 55*w - 30*w)*(5*w**3 - 5*w**3 - 2*w**3) - 65*w**4 + 2211*w**2 - 2211*w**2.\nAnswer: -213*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -34*d**3\/3 + 46*d - 256. Differentiate r(p) with respect to p.\nAnswer: -68*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wztpp. Give prob of sequence tz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147965284.\nAnswer: 2, 286991321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1924135\/21 or 91624?\nAnswer: 91624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 5*i**2 + 5*i + 34. Let u(s) = 2*s**3 - 4*s**2 + 4*s + 33. Calculate 4*m(r) - 5*u(r).\nAnswer: -2*r**3 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:07 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (417 - (-2 + -2)) + -1 + (-18 - -14) is divided by 127.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150160076 take away 3.14572?\nAnswer: -150160079.14572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 16*o + 3. Let f(z) = 6*z**2 - 15*z - 3. Let w be f(4). Let u be (-946)\/121 - (72\/w + -2). Calculate c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 7*h - 5. Calculate s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 0*n**2)*(2*n + 0*n + 0*n) - 2*n - 4 - 49*n**3 - 9*n**3 + 11*n**3.\nAnswer: -49*n**3 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i - 4*r, -2*i - 3*r + 9 = 8. Suppose -2*z + 5 = 5*y - 7*z, -i*y - z + 11 = 0. Solve 17 = -3*u + y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 24*l + 13*l)*(-3 - 2 + 3) + (3*l - 5*l - l)*(1 - 2 - 1) + 4*l - 24*l - 11*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*m + 10, -3*i + 2*m + 87 = 73. Solve 12*p + 18 - i = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1333 + 2825. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001083417428 rounded to 5 decimal places?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -926.6 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 4. Let z be p(-2). Let w be -6*2*z\/12*2. Suppose 0 = a - h - 113, 0 = 2*a + 3*h - w*h - 225. What is the highest common divisor of a and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1986040009 = -4*u, -5*u = -4*c + 1161117124 + 1321432888. Round u to the nearest one million.\nAnswer: -497000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 2) to base 15.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:16 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q**2 + 3*q + 3. What is z(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/5)*b**(-1\/27)*(b**23\/b)\/b**(-25) assuming b is positive.\nAnswer: b**(6421\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/12)\/((-4)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46921 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8863 bigger than -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -277 + 279. Which is the third smallest value? (a) 5 (b) -0.12 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let l(u) be the second derivative of 5*u**4\/24 - 3*u**2\/2 - 9*u + 6. Let j(k) be the first derivative of l(k). What is v(j(y))?\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000038749 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 4*l**2 - 2. Let c be r(4). Let t = 64 - c. Find the third derivative of z**4 + 14*z**6 - z**4 + 3*z**2 + 27*z**t wrt z.\nAnswer: 1680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7934302?\nAnswer: 2, 83, 47797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.2, -0.22, -0.45326?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 392*w + 1. Let q(k) = -4*k - 1. Let i(p) = 17*p + 5. Let b(r) = -i(r) - 5*q(r). Determine b(l(a)).\nAnswer: 1176*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 276054.6 millennia in centuries?\nAnswer: 2760546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97 - (-58 + 41)) + 39?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 0.1. Let g = -11.6 + s. Let o = -14 - g. Which is the closest to 1\/2? (a) -0.1 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -110, -97, -88, -89, -106?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.42 + 285.58. Let t = z + -290.99999873. Round t to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(6*(-6)\/(-216)). Suppose -4*k - l - 13 = 0. Let r(m) = m + 2. Let y(u) = u + 1. Calculate k*y(s) + 2*r(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(-2)*2*12\/(-304).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 1. Suppose 5*o - 137 = r. Suppose 0 = -0*m + m - o. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18473 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510655 (base 7) in base 2?\nAnswer: -110001111010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11811635 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 - 5*p**2 - 2*p + 5*p. Let t be g(-2). Solve -3*w - t = 3*b, 3*w - b + 16 = b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 - 7*c**2 + c**3 + 4*c + 5*c**2 - 12*c**2.\nAnswer: c**3 - 14*c**2 + 4*c + 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2233 is divided by 740?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2213132032 (base 4) to base 2\nAnswer: 10100111011110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.2. Let j = 340.83 - -4.67. Let i = -345 + j. Sort 6\/5, r, i in decreasing order.\nAnswer: 6\/5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167273.0583 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -597 (b) -1\/6 (c) 9\/5 (d) -5 (e) 0 (f) 3\/11 (g) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 1011\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -288 + 298.7. Let n = -14.7 + o. What is the closest to -0.1 in -1.29, 4, n?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -14, -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358124 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-535000)\/15)\/(1 + 116\/(-120)). What is n rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/9 - 4) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.11904ml?\nAnswer: 0.06811904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100111011000111 (base 2) to base 6\nAnswer: -233211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1303 - 491. Suppose 0 = 9*m - 13*m + h. Is m 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 8288091?\nAnswer: 3, 7, 293, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -35. Suppose 2*z = 0, 3*d = -4*z + 1 + 50. Suppose u = -b*u + d. 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: What are the prime factors of 5*24\/90*291?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30450781?\nAnswer: 23, 199, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119998860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5, 9558, -128\/11?\nAnswer: 9558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5*u + 5. Let r be y(-5). Let q = -27 + 31. Suppose r*h - 23 = -q*k + 2, -2*h + 10 = -4*k. Solve -8 = -a + h*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*r + 85 + 212 = -111. Let t = -0.1 - 0.1. Let j = -4.8 + t. What is the smallest value in j, 1, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b + 7. Let j be w(5). Find the second derivative of -j*m - m**2 + 14*m - 2*m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 8. Suppose 2*p - 4*i = -3*p - 10, 0 = -2*p + i - 7. Let c = p - -13. Let y be l(c). What is the highest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*v**3 - 23*v**3 - 22*v**3 - 8*v**2 in the form l*v + n + j*v**2 + y*v**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**2 - n**2 + 0*n**2)*(18 - 30 + 67) + 2*n**2 + 3*n**2 - 3*n**2 to the form m*n**2 + p*n + l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-112) + 4\/(-14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705*w - 700 = -715*w. Suppose 0*o = -3*o + 12. Suppose -u = -o*u + 30. Calculate the highest common divisor of w and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f*k*p*r - 13*f*p**2*r - 2*f*p**2 - 20*k*p**2 + k*p*r + 2*k*p + 2*k wrt r.\nAnswer: -5*f*k*p - 13*f*p**2 + k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**3 + 13*p**3 + 14*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4692)\/48484 + 1677\/31.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {x: 6, o: 4, n: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1532.75 and -6.2.\nAnswer: 9503.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flaa when four letters picked without replacement from faalaalalaallalllal.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(1\/45). Suppose o - 5 + 2 = 0. Suppose f = o*h, -23 = -5*m - 4*h + 22. What is the smallest value in 0, 4\/5, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 111.7. Let v = 0.248 + 0.152. Sort 1, u, 3\/8, v in descending order.\nAnswer: 1, v, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*n**3*x**2 + 8*n**3*x - 6*n**2*x**4 - 50*n**2*x wrt x?\nAnswer: 202*n**3 - 72*n**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 1014, 2292, 4084, 6390, 9210?\nAnswer: 12544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-79 + (124 - 107) + -15 + 1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 938 = 4*o + 7*r, 21 = -3*r. Calculate the remainder when 715 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 4, 16, 0 in decreasing order.\nAnswer: 16, 15, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 66 = -2*w, 5*r - 79 = -w. Calculate the highest common factor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b94a7 (base 16) in base 15?\nAnswer: -eed1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, -345, -2488, -6663, -13548, -23821, -38160?\nAnswer: -57243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3584)\/28)\/(12*(-2)\/6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 9. Let i(c) be the first derivative of -c**2 - 5*c - 1. Let x(j) = -j**3 - 11*j**2 - 11*j - 7. Let b be x(-10). What is b*u(d) + 5*i(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1501\/13 - 115. Solve 0 + l*y**4 + 6\/13*y**3 + 2\/13*y**2 + 0*y + 2\/13*y**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 393*l - 11259 + 2220 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 4 + -10 - -47. Suppose 0 = 14*g - 34*g + q. Let m(z) = z**3 - 4*z**2 - 4*z - 2. Let c be m(5). Solve c*v = -5*n - 8, -g*v = -n + 5*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -201*v + 11837. What is a(67)?\nAnswer: -1630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/9 + 25946*f**2\/9 - 1145680*f\/9 - 798376\/3 = 0?\nAnswer: -13017, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3 + 21. Suppose -10*k + 69 = -41. Let s = k + f. What is the least common multiple of s and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 7 - 15)*(5*l + l - 5*l).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - -33 - (-47 + 20).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i - 4205923 + 11*i + 4205925.\nAnswer: -39*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 105291844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyyyyyyyyyyyyyyyc. Give prob of sequence yyyy.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051498 to 7 decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -725720?\nAnswer: 725714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60725376 divided by -210852.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234442488 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 6)*(5*o + o - 4*o + (-o + 0*o + 3*o)*(2 - 1 + 1) - 38*o - 86*o + 76*o) in the form q*o + m and give q.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 364168 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -8347.58 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 13. Let g be q(10). Is 224\/24*g\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*j - 13274 - 8406 = -568*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 times -8982?\nAnswer: 28742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 2*d - 2. Let z be ((-27)\/(-1))\/((-12)\/(-8)). Let x(a) = -a**3 - 9*a**2 - 9*a - 9. Calculate z*y(j) - 4*x(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 11 = 0. Calculate the lowest common multiple of 4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 11*q**2 - 12*q + 4. Let z(m) = -m**3 + 7*m**2 + 9*m. Let t be z(8). What is the tens digit of f(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -22000021?\nAnswer: 22000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1344 - -5?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**(2\/9))\/y*y))\/(y**(-6)\/y*y)*(y*y**(-2\/7)*y*y)**(-5) assuming y is positive.\nAnswer: y**(-463\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 49\/490*(50\/28)\/(-5)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, j: 1}. Give prob of sequence jn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 668*p**2 - 3036*p + 252210. Calculate x(664).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.8 + 23. What is the nearest to -0.1 in -9, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22049567?\nAnswer: 919, 23993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12120 and 32017?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-9)\/5 + 2). Suppose 2*b - 4*p - j = 0, 2*b - 4*p = -2*p + 8. Suppose b*q - 2 = 4. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9) + -19 + 26 + -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233.6 - 233.62801. Let z = i - 420.87199. Let a = -442 - z. What is a rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/600)\/(42\/(-504)*((-6)\/(-26))\/(-1)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9789)\/502*(-2)\/(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -47, -55, -51, -29, 17, 93, 205?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 3:31 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -27 (b) 7 (c) -1 (d) 2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-36)\/((-648)\/(-9))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 10813 - 10835 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1\/4, -5, 2260.\nAnswer: -5, -4, -1\/4, 0, 2260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 + 9*o**2 + o + 13. Let q(l) = -23 + 93*l**3 + 7 - 2*l**2 - 181*l**3 + 13 + 86*l**3. Calculate 9*q(s) + 2*y(s).\nAnswer: -4*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -1, -2875\/2, 3\/2, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 11656398?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by 134\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 39813.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37841599 - 3*d + 3*d - 24*d**2 + 37841694 - 75683293.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1024 = 5*u - 313, 5*u - 2*j + 699 = 0. What are the prime factors of (u\/(-4))\/((-1)\/(-4))?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaalalaaaaalaa.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let h(k) = -58*k**2 + 3*k. Calculate h(b(z)).\nAnswer: -58*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from bbssssbbssbsbsssssb?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1280 by -5.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 189 = -m. Let a(x) = 5*x**2 + 2*x + 3. What is the lowest common multiple of m and a(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and ((-48)\/(-32))\/(3\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1503 and 1169?\nAnswer: 10521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 264 + -261. Suppose -5*s - 318 = 3*j - 1119, -t*j + 795 = 3*s. What is j rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8\/3*a**2 + 308\/3*a - 1\/3*a**3 + 0 = 0.\nAnswer: -22, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 + -6.427. Let b = 7.05 - 7. Let d = x + b. What is d rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*v + 16, -4*o - 6*v - 6 = -7*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23840 - -23842. Sort -26\/19, c, 0.3 in decreasing order.\nAnswer: c, 0.3, -26\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-21519)\/12*(-104)\/39. Suppose 103*v + x = 112*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 2*h - 2. Let r be x(3). Suppose -4*l - 12 = -2*t, 2*t - 2*l = 7 + 9. Suppose 0 - t = -2*d. Solve -r = 2*a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 77*s**3 + 7*s**2 + 7*s - 4. Let l(f) = 38*f**3 + 3*f**2 + 3*f - 2. Let q(n) = 7*l(n) - 3*o(n). Differentiate q(d) wrt d.\nAnswer: 105*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 4320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - y = -4*y - 90, -3*m + 93 = -2*y. What is the highest common factor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456227?\nAnswer: 31, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g + 1)*(1 - 1 + 2*g) - 2*g - g**2 + 2*g + (1 - 3*g - 1)*(-73*g - 67*g + 187*g).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5900 + 5996. What is the least common multiple of k and 400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 65 (c) 15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/73, 0.1, -0.4, -8, 20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -141c27 + 0?\nAnswer: -141c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6834613780 rounded to the nearest one hundred thousand?\nAnswer: -6834600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 10. Is (3*85 - o) + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 100*a + 775. Give u(-43).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 64 + 54. Solve 2*f - 10 = 2*u, l*u + 11 = 3*f + 3*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 81*k - 3 = 86*k, 0 = -2*t - 4*k for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n - 5. Determine v(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9 + (1 - -6) + (-188)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 16*h + 35. Let m be z(10). Let v(c) = c**3 + 5*c**2 + 7*c + 2. Calculate v(m).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 + 3*n - 2. Suppose 3*o - 4 = 2. Let i be v(o). Solve 0 = -3*d + 2*d + 5*b - 17, -d + 4*b - 14 = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 (base 14) in base 4?\nAnswer: 102312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142963 + 335702. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/12*(-2 - -4). Suppose o*b + 9 = -16. Which is smaller: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 67*a**2 + 439*a - 39802. What is v(69)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 81.7 (b) -1092 (c) -135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10031497, -10031498, -10031499?\n\"Answer: -h - 10031496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**3 - 39*c**2 - 7\/60*c**5 + 1\/120*c**6 + 5\/24*c**4 + 0*c + 0. Give z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(-2 + -1 + (sqrt(704) + -1 + 2 + -3*sqrt(704)*-2)**2).\nAnswer: -137978 - 448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 0, -3\/7, -2\/85 in decreasing order.\nAnswer: 5, 0, -2\/85, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - t**2 - 2. Let l(i) = -1. Let o(z) = 21. Let q(x) = -11. Let u(s) = 6*o(s) + 11*q(s). Let h(a) = -9*l(a) - 2*u(a). Give h(w) - r(w).\nAnswer: 2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = w. Let q(v) = -v + w*v**3 + v**3 - 3*v**3. Let h = -5 - -7. Determine q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2777*d + 2780*d + 6. Let l = 1 - 43. Is (d\/((-32)\/(-116)))\/(3\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 9. Suppose -y - 2*y + 6 = i. Let l = 0.5 - 0.2. Which is the biggest value? (a) l (b) y (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2363, -3, -10, 4.\nAnswer: -10, -3, 4, 2363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63326014?\nAnswer: 2, 43, 47, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 184\/115 + 2\/5. Let z(b) = 5*b**f + 3 + 5 - 13 + 5*b - b**3 + 2. Suppose -3*h = 5*k - 34, 0 = -3*k - 3*h + 5*h + 9. Determine z(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1\/9)\/((-1)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 2. Suppose 0 = -a - 2*b, 4*a = -5*b + 5 + k. Let h = 1 + a. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 45 + 55. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/5 - 14228*r**4\/5 + 227212*r**3\/5 - 539416*r**2\/5 - 227214*r\/5 + 553644\/5 = 0?\nAnswer: -1, 1, 3, 13, 7098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 35.81367mg?\nAnswer: 0.03581367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 - -1.6. Let z = -3.4 + p. Put -0.3, 1, z in ascending order.\nAnswer: -0.3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -50*c**2 + 1. Let z(o) = 74*o**2 - 15*o + 5. Let b(m) = -15*m**2 + 3*m - 1. Let n(g) = -5*b(g) - z(g). Determine p(n(x)).\nAnswer: -100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*q + 2 + 1, -2*q = i + 8. Calculate the remainder when 75 is divided by -26*(1 + i)*1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) -1\/3 (c) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45661368 smaller than 45661367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -22. Which is the second smallest value? (a) 9 (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((2\/(-50))\/((-2)\/(-5))) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*y + 15. Let w(s) = 3*s. What is the remainder when (-129)\/(-5) + 3\/y is divided by w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9260761\/526 + 17606. Find the common denominator of -79\/16 and h.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 3:48 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4516*n + 78 = -4542*n, -5*p - 4*n = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -47. Let i = 84 - 84. Suppose 91*a - 88*a - 159 = i. Calculate the remainder when a is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74986.\nAnswer: 2, 37493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 231729 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1036.56*0.4\nAnswer: 414.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 divided by -4.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 80 - 3*l + 76 - 259 + 84 as u + n*l and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 8 = 0. Let d be 1 - ((-6)\/9)\/2. Let d*v**s + 2\/3*v**5 + 0*v**2 + 2\/3*v**3 + 0*v + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67831 is divided by 2253.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19824 by 84.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4446016936.\nAnswer: 2, 17, 53, 269, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 48*r + 128. Let i be z(-47). Let u(w) = -w**3 - w**2 + w + 98. Let h be u(0). Let b = i - h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 = -3*r + 378, 0 = -v - 2*r - 5 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -962 less than -6702?\nAnswer: -5740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (93 - 10) - 2*4.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 13*s**2 + 5*s - 2. Suppose -19*q - 349 = -254. Let a(o) = -3*o**3 - 19*o**2 - 7*o + 3. Give q*a(w) - 7*c(w).\nAnswer: w**3 + 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 413*o**2 - 26*o + 19. Let q be d(4). Suppose 3*a - 2*b = 3*b - 264, 440 = -5*a + 3*b. Does 21 divide (-1)\/8 - q\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**8\/336 - 2*f**7\/105 + f**6\/20 - f**5\/15 + f**4\/24 - 3*f**2. Factor j(x).\nAnswer: x*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78d20 (base 15) in base 6?\nAnswer: -12123150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1398400 = 2372*o - 2296*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -26854.\nAnswer: 26853.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173.35197*0.7.\nAnswer: -121.346379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/15 + (-4)\/10. Let d be -25*(-600 + -1 + s). What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + n - 2591 = 931, -u + 694 = -5*n. What is the highest common factor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -121. Let 1\/2*s + 1\/4*s**p + 1\/4 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 276058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10.63 * -338\nAnswer: -3592.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - r - 4 + 19, -r + 9 = 3*s. Suppose 4*a = -3*f + 133, -5*f - 2*a = -s*a - 260. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-832)\/1120)\/(-26)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34 + -30 - (110\/(-154))\/(8\/(-42)). Suppose -3 + y*f + 1\/4*f**2 = 0. What is f?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14455.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/9 - 35794*b**4\/3 + 89154376*b**3\/9 - 24816223040*b**2\/9 + 255056524800*b + 2320414208000\/9 = 0. Calculate b.\nAnswer: -1, 280, 52852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.84406 days in hours?\nAnswer: 524.25744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -10*b + 5*b. Let g be 2\/b*(-1926)\/(-9). Suppose -2*n = -g - 11. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12) + 2 + 2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 less than or equal to 2.52735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1882 plus -1493237?\nAnswer: -1493237.1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3772 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: What is -3154518 (base 10) in base 3?\nAnswer: -12221021012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**17)\/q)\/q*q\/q**(3\/13))**(-8))**(-14\/3) assuming q is positive.\nAnswer: q**(-25088\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -7811?\nAnswer: -780c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -8, j - 4*p = -3*p + 104. Let o be 4\/10 - 5\/(j\/(-112)). Solve -2*l + 2*s - o = 0, 3*l + s = 4 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.013, 13, -0.3, 0.2, 8920?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + 5*m**2 - 2*m - 4. Let h(p) = p**2 - 1. Let l(i) = -3*h(i) + s(i). Suppose 0 = -3*f + 6*f + 6. Determine l(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -6, -32, -92, -198, -362, -596?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -336890 minus 0.07838541?\nAnswer: -336890.07838541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**3 + 38*s**3 - 67*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -754*(-10 - -6) - 4 - 2. What is the highest common factor of b and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*b + 13 = 0, b + 0*b = 4*x - 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)\/sqrt(2))\/(-3*sqrt(3)*-3).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose 2*u - 14 = -4. Let i = 0.14 - -2.86. Sort u, i, g in increasing order.\nAnswer: i, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96\/7 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.8 and -0.4.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v - 19*v**2 + 1\/4*v**4 + 0 + 11\/30*v**5 + 0*v**3. Find the second derivative of y(d) wrt d.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 20. Suppose 0 = 7*t - d*t + 504. Calculate the highest common factor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/(-10)*404\/(-36). Let s = y + -644\/5. Find the common denominator of s and 31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - u**2 - 2*u - 1. Suppose 4*g - g + 38 = -s, 0 = g - 2*s + 1. Let w = g - -14. Suppose -5 = -d - w. What is x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2\/2 - i + 4. Let u(c) = 6*c**3 - 6*c - 1. Let m(v) = -6*j(v) + u(v). Differentiate m(t) with respect to t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Solve -j*t + t = 8, -4 = -m + 2*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22353580.12 to the nearest 100000.\nAnswer: -22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:04 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/51)\/(5*(-12)\/360).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*n + 1716 = 223*n. Let w(d) = d**3 - 13*d**2 + 20*d - 74. Give w(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*d - 1652 - 208 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/777 and 89\/6?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 + 86*p. Let v(u) = 2*u**2. Give o(v(b)).\nAnswer: -16*b**4 + 172*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/6 - 5*q**2\/2 + q. Let w be j(6). Let v = -1 - w. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.85 + -0.84872. What is c rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, 1, 57, 6 in ascending order.\nAnswer: -24, 0, 1, 6, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 1\/5 (c) -0.13 (d) -0.007 (e) -6\/13 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 64*p**2 - 47*p + 2522. Calculate r(64).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 13261977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*c**3)*c)*c)**(-33))**(-1\/6)\/((c**(-1\/3))**(-2\/61))**35 assuming c is positive.\nAnswer: c**(3956\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.156 rounded to 2 dps?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/375 and 113\/750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.6. Let o = -0.98 + 1.08. Put -0.5, o, u in decreasing order.\nAnswer: u, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011111001 (base 3) to base 2.\nAnswer: -101100000010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -102*x - 8. Let q be (2\/8)\/((1 - 2)\/8). What is the units digit of y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 33*l - 14. Let p be o(17). Let z be (-2)\/(-4) + 216\/48. Solve -p + z = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*f**4\/5 + 94*f**3\/5 + 298*f**2\/5 - 542*f\/5 + 144\/5 = 0. Calculate f.\nAnswer: -9, -8, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134333147 to the nearest integer?\nAnswer: 11590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 26.\nAnswer: -14, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22160183 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 276137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*64760\nAnswer: -97140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2) + 0)*(-14)\/3. Let n(l) = l**3 - 6*l**2 - 9*l + 18. Let c be n(d). Suppose 0 = 12*v - 14*v + c. Solve 4*a + v = -14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/4)*c\/(c**(-2)\/c))\/(c\/c**(-9)*c**(-3)) assuming c is positive.\nAnswer: c**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*y**4 + y + 3*y**2 + 2*y**3 + 51*y**4 + 9*y**2 to q*y**4 + d + w*y + o*y**2 + f*y**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5929, 5928, 5927, 5926, 5925, 5924?\nAnswer: 5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 153. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 348*g**2 + 9*g + 9. Let q be a(-1). Suppose -3*h + 369 = -2*u + 6, 3*u = -3*h + q. What is the greatest common factor of 51 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 + 0*w**2 + 2*w**2)*(-19*w + 50*w - 8*w) to v*w + z + r*w**3 + i*w**2 and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - 52 - 31 + 5*b - 2*b - 3*b to z + y*b and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -12. What is the least common multiple of 12 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (-21 + (8 - 5) + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 220074 = d, 3*q - 68*d + 69*d - 165059 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((0 + (sqrt(7) + sqrt(35)\/sqrt(5) - sqrt(7)))**2 - ((3*sqrt(35))\/sqrt(5))**2) + -4 + 1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.5 - 10. Let z = 3.05 - 0.05. Let r = z - m. Round r to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/(-72)*6\/5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 609 - 224 - 229 - 156 + 14015*b**2 as q*b**2 + o*b + m and give q.\nAnswer: 14015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a + 3. Let z(c) = -6*c**2 + 4*c + 103. Give 4*s(o) - z(o).\nAnswer: 2*o**2 - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 - -0.08. Put 4, i, 1\/6 in descending order.\nAnswer: 4, i, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 730\/3 + (-14)\/(-21). Let g = p - 733\/3. Let q = -18 - -13. Which is the smallest value? (a) 1\/6 (b) q (c) 6 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = -y, -5 = -3*y + 3*u + 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/88 - (-285)\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286128122.\nAnswer: 2, 3, 23, 167, 55807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003591408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (0 - (2 - 1)). Let i = o + 3. Let x(q) be the third derivative of q**6\/120 - q**4\/12 - 48*q**2. What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2)*-1)\/((-4)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 967 - 635. Is 58 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(40\/25)*152\/90)\/(58\/(-261))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*x = -31105, -5*s + 41477 = -s + x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n - 7. Let v = 12 - 7. Calculate the remainder when d(v) is divided by (-6)\/(-8)*-10*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 338 - 163. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75627, -75626, -75625?\nAnswer: -75624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**7\/70 + m**6\/40 + 3*m**5\/20 - m**4\/8 - m**3 + 35*m**2\/2 - 14*m. Let n(w) be the first derivative of h(w). Factor n(b).\nAnswer: -3*(b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6030355 (base 7) in base 12?\nAnswer: 2a4944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p*p*p**(-1)*p*p*p)\/p*p)\/p)**(-2\/195))**12)**(-19) assuming p is positive.\nAnswer: p**(608\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(176) - (sqrt(44) - (2*sqrt(44)*6 - sqrt(44))))\/(-2*sqrt(36)*-1).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.014 + -1.803. What is d rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.8 times -0.21076?\nAnswer: -16.607888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 406786.8 minutes in microseconds?\nAnswer: 24407208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.054969 + 4.138331. Let x = -4.166 - 0.034. Let s = x + w. Round s to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + ((-147)\/84)\/(3\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -4. Sort 1\/3, 1\/5, c in ascending order.\nAnswer: 1\/5, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 3*c**3 + (33*c**2 - 33*c**2 - 43*c**3)*(0 - 2 + 4) + c**3 + 0*c**3 + 0*c**3.\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*b**2 + 51115*b + 41310.\nAnswer: 5*(b + 486)*(21*b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406 = -13*x + 1341. Sort -116, -1, x in ascending order.\nAnswer: -116, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9836 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = -4*i, b + 2*i = -2*i - 2. Suppose -4*l - 4*u = -24, u - 3 + 5 = 3*l. What is the remainder when l\/6 - 100\/b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhmmddnmhdhddhe. Give prob of picking 1 e, 1 n, and 2 d.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.481308 years?\nAnswer: 0.1481308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3330*r**3 - 3935*r**2.\nAnswer: -19980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.02 not equal to 187\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11853*t. Let k(g) = -2*g + 616. What is k(l(w))?\nAnswer: -23706*w + 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1177 or 1179?\nAnswer: 1177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5827 = 5*o - p, -4*o - 4*p = -2*o - 2344. Let g = o + -1986. Let x = -5683\/7 - g. What is the common denominator of x and -36\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*p + 526 = 516, -168*d - 336 = 3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 49466*y + 57. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - -3d45?\nAnswer: 3d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 minutes after 3:32 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*w + 42463 - 45400 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/27)\/(3\/(36\/(-4))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19786307.9999926 + -19786291. Let u = 17 - w. What is u rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2392 and 10281.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-2 + 6*u**2 + 2)*((-u**2 + 3*u - 3*u)*(3 - 2 + 1) + 3*u**2 + 0*u + 0*u).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-9))\/(2\/(-6)). Let r be 0\/(-1 - (3 - d)). Let j be 2 - 6\/(-2)*2. Solve 4*y + r*y = -j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (88 + -87)\/(3\/108 + (-2)\/(-9)). Suppose -36\/23 + 26\/23*v**2 - 6\/23*v + 2\/23*v**q + 14\/23*v**3 = 0. What is v?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = 5*p, 2*w + 2*w + p - 45 = 0. Suppose w = 3*j - 2. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let m(q) = -3*q + 116. Let t(s) = m(s) + r(s). Let f be t(0). Suppose 3*z - 2*j - 31 - 38 = 0, -2*j + f = 5*z. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.432 - 1.7.\nAnswer: -2.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -307*g**3 - g**2 + 69818 wrt g.\nAnswer: -921*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27\/12*(-1)\/((-12)\/16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n**2 - 4*n - 16*n**2 - 6*n**2 - 23*n**2 + 6*n + 1. Determine z(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 9926823.\nAnswer: 9926809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4*108672.5\nAnswer: 434690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*z**2 - 144 + 144 - 5*z + 5*z + 2*z**2 + (-z**2 + 0 + 0)*(-17 - 14 + 12).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2691588.2 rounded to the nearest one thousand?\nAnswer: -2692000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006677 to 5 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = 22*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 0.3?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18411 divided by -72.\nAnswer: 6137\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 25293041 and 25293042 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.3, -4, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 8*u**2 - 19*u + 19. Let j be h(-10). Suppose 3*w - 6*w = 9, -2*w = -3*s + j. Let g(d) = d - 1. Let i(f) = -4*f + 4. Give s*i(o) + 6*g(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -4 (b) 2 (c) 2\/79 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 77, -17, -3, -2, -3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 697*r**2 - 10*r - 268. Is j(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1627.607 to the nearest integer.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 3. Determine u(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, -37.\nAnswer: -37, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(57)\/(sqrt(3)*1) - sqrt(19) - sqrt(19)) + sqrt(19) + 1 + sqrt(19) + 5).\nAnswer: -18 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*p - 48. Let t(r) = -r**3 + 7*r**2 + 7*r + 6. Let g be t(p). Let c(i) = -23*i - 3. What is the units digit of c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(128) + -1 + -2)**2 - (sqrt(40)\/sqrt(160))\/(-3*(sqrt(6)\/sqrt(3) + sqrt(2))).\nAnswer: -4607*sqrt(2)\/24 + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 14*g - 38. Let u be t(9). Let d be (3654\/204)\/(-7) + 3\/2. Is u >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4113203 (base 5) to base 6.\nAnswer: 1232410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x - 21. Let z = -678 - -664. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/916? (a) 2\/5 (b) -107 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99497966 a multiple of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/72? (a) 5 (b) -1 (c) -6\/5 (d) -3\/2 (e) -1\/4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 - -3 - -31 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 5)*(-8*k + 10*k + 10*k)*(78*k**2 - 159*k**2 - 76*k**2) to r*k**3 + f + i*k + z*k**2 and give r.\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 310.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zzzzcccbccbzczcccbz.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1324 + (119\/21 - (-14)\/42). What is the greatest common factor of 3430 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 6. Let j(u) = -3*u - 5. Let d(c) = -4*h(c) - 3*j(c). Let f(i) = 6*i + 17. Let m(y) = -5*d(y) - 3*f(y). Differentiate m(p) with respect to p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409019 is divided by 204?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + -1*(sqrt(17) + 0)*-6.\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1300 + 6376. What is the least common multiple of y and 12?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, 3 = k + h - 3. Suppose 3*u + 0 = -k. Let w(c) = -18*c + 1. Does 16 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78294043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkfkffkpkfkkfkfkpkk?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 2.8. Put -4, a, 2 in increasing order.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (870\/110 - -3) - (5 + 3)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2549?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21524, 43049, 64574, 86099?\n\"Answer: 21525*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 + (-14859)\/(-2080) - (-4)\/(-30) and 41\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f + 158 = 41*f. Suppose 5*u - 100 = -0*u. What is the remainder when f is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wccc when four letters picked without replacement from {w: 6, c: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(96\/(-8))*(-4)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 2*j - 5. Let x(y) = 5*y**2 - 4*y + 11. Let p(b) = -3*x(b) - 7*z(b). What is p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*r + 15 = -7*r, 5*j + 12931 - 12856 = -3*r for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220292 is divided by 55062?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283800 divided by -23650.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 - 312. Solve -4 - a = -6*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 + 7 = 0. Let v be k*1\/(-7) - (-7568)\/56. Calculate the greatest common divisor of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**21*j**(-23)*j)\/((j**(-4\/5)*j)\/(j**(-30)*j*j)))**(-7\/3) assuming j is positive.\nAnswer: j**(329\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4971 = -3*l + 1410. Let z be (-1)\/(-5) - 88\/55*-448. Let x = l - z. What is x rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(8\/(-3056)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 695*m**2 + 4184*m - 15392. Determine p(-701).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 + 7*k + 8. Suppose 0*v + 2*v = 2, 2*g - 13 = v. Let w be a(g). Let b be ((-18)\/w)\/((-30)\/(-80)). Which is greater: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111111110 + 1100011001111010?\nAnswer: 1010000001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -51*r**8\/56 + r**7\/14 - 7*r**4\/4 - 11*r**3\/6 + 8*r + 2. Find the third derivative of x(g) wrt g.\nAnswer: -6120*g**3 + 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.848 - -1.248. Which is the nearest to 0.1? (a) 1\/6 (b) r (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 + 20*d - 13. Let w be y(6). Do w and -1\/309 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 0*k + 0*k + 2*k**3 + 13 to the form f*k + t*k**2 + o*k**3 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27475 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 102. Let y(n) = 4*n**3 - 2*n**2 - n + 9. What is the tens digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1094480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**7\/315 - i**6\/45 - i**5\/30 + i**4\/9 + 4*i**3\/9 - 11*i**2. Let q(x) = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 8) to base 16\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(7)*-2*2 - (6*((1*sqrt(70))\/sqrt(10) + sqrt(84)\/sqrt(3)))**2.\nAnswer: -2270 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 0*f + 4*f)*(3 + 0 - 4)*(-4 + 0 + 5) to the form w*f + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 6334, 15 in decreasing order.\nAnswer: 6334, 15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76465426 and 40930?\nAnswer: 8186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6736 and 842.\nAnswer: 6736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5824 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 878 = -2897. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6248, 1\/57, 17?\nAnswer: -6248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 30055453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, i: 1, s: 1, p: 1}. Give prob of sequence ti.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w\/w**(-1\/14)*w))\/w**(2\/11))\/(w**(4\/3)\/w*(w\/((w\/(w\/(w\/(w*w*w**(4\/5)*w*w*w))*w*w))\/w))\/w) assuming w is positive.\nAnswer: w**(-26303\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (63336\/(-18850)*20\/(-12))\/(1*1\/(-10))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 4. Let -3\/2*q - 1 + 17\/2*q**2 - 3\/2*q**r + 2*q**5 - 13\/2*q**3 = 0. Calculate q.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q + 2. Let p be u(0). Suppose 4*k - 4*v + 28412 = 0, 3*k + v + v = -21319. Let r be k + p - -1*3. Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 91 = -9. Suppose 573 = -15*v + 1458. Calculate the remainder when v is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0558 + 0.05. Round d to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*m - 432*m + 378*m - 7*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*f = 16, -t - 1294 = 4*f - 1286 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.72*0.07\nAnswer: -0.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*o = -173*o - 279 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1322?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:21 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12336 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14937 less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-2)*1644 - (-39 + 33). Let i = x - 5701. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -317*o**5\/20 - 51*o**3 + 101*o**2 - 3. Find the first derivative of t(j) wrt j.\nAnswer: -1902*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-14) - (-50)\/175 - -944 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2)\/3 - (-8)\/4. Solve c = -l - 0*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -37. Suppose f*v + 62 = 524. What is the derivative of v - 7*m - 4*m - 76 wrt m?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.9 + 6. Let h = n + 1.2. What is the closest to -0.1 in h, -3, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 116, 324, 638, 1070, 1632, 2336, 3194?\nAnswer: 4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 4*n**2 + 8*n**2)*(-n - 14 + 14 + (0*n + 3*n - n)*(-4 + 2 + 1)).\nAnswer: -33*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 45. Let r = p + 46. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736033627.\nAnswer: 7, 149, 705689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2900.94451 to the nearest integer.\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -720788 rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 4*i**2 + 2*i + 9. Let q be j(-3). What is the smallest common multiple of 44 and (112\/(-12) + 2)*q\/1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96988958.0000014 + 96988934. Let p = -74 - -50. Let q = n - p. What is q rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*j - 69554, u = 6*u + j - 115908. Let r be -15*(3 - u\/(-6)). Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 11. Let t = o - 9. Let p be (-28)\/(-6) + 2\/t. Solve 6 - 14 = p*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 129 - 619 = 0. Calculate the common denominator of v*(3 + (252\/(-128) - 1)) and -81\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143.1285 + -1.5315. Round o to zero dps.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + s = 1180, 6775 = 5*k - s + 899. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1615 - 0.3513. Let c = 38.81 + -39. Let h = c - s. What is h rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4773 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f - 52. Let n be y(7). Let v be (-3)\/(1\/(0 + -1)). Sort v, n, 2 in descending order.\nAnswer: v, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 - -172.5. Let j = -27 - -34. Put 2\/9, j, k in increasing order.\nAnswer: k, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74391259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 996794 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25002667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q - 6 = 0. Suppose a - q*a + 11 = 0. Suppose -2*u = -8, -5*k + 5*u + 6 + 29 = 0. What is the lowest common multiple of k and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -247643?\nAnswer: -247647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = -50*r + 107*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -18*u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 597024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((15 - -1) + 2)\/((-2645)\/207 - -13). Solve -o = 14*i - 165 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/5 - 3\/20. Is x < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 33. Let i be y(13). Let s(u) = u**3 + 1. Let a(w) = 4*w**3 - 5*w**2 + 6*w + 10. Let k(g) = -a(g) + 5*s(g). Give k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q - 38*q = -59*q - 235250. Is q < -1882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1020103 (base 4) to base 10\nAnswer: -4627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*j**3 + 168*j**2?\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = 11. Suppose -106*s = -111*s + 20. Put 2, r, s in ascending order.\nAnswer: 2, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owr when three letters picked without replacement from {o: 1, l: 2, r: 2, p: 1, w: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4150*x = 4137*x + 117 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 6*j + 5. Suppose 193 + 230 = 141*i. What is v(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3148047 divided by 63.\nAnswer: -49969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 36*j + 4*t + 9412, -5*j = 3*t - 15648. Calculate the remainder when j is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 16 + 4. Suppose -t = -5*g + 22, 2*t - 7 = -d*t + g. Solve t = -a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*z = -126*z - 28. Sort 6\/31, -0.3, z, 0.3 in ascending order.\nAnswer: z, -0.3, 6\/31, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/12 - 8*u. Let c(m) be the third derivative of 0*m**3 + 0 + m**2 + 0*m + 0*m**4 + 1\/30*m**5. Calculate r(c(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**6\/6 + 3*m**2 + 4. What is the second derivative of o(j) wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17874?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 165*s - 170*s - v + 1447, -1166 = -4*s - 2*v. Calculate the highest common divisor of 2064 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14079.635 rounded to the nearest 10?\nAnswer: -14080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 8*m + 6*m + m + (6*m**2 + 2*m**2 + 3*m**2 - 3)*(2*m + 2 - 2).\nAnswer: 24*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46419224 to the nearest integer?\nAnswer: 6813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-10 - -8 - -3 - 6 - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 7*j + 6. Let k be b(-7). Let p(x) = -x**2 + 7*x - 2. What is the units digit of p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-64))\/(68\/272).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7192 + 11135. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 204374554, 408749109, 613123664, 817498219?\n\"Answer: 204374555*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 960505 (base 11) to base 13\nAnswer: 41b012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:56 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o**2 - o + 3. Let u be v(3). Suppose 2*n = -n + u. Suppose 19 = q - n. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -25. What is the hundreds digit of (-4 + 6 + -5)\/(g\/137)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j = 101 + 1. Let f(s) = -2*s**2 + 52*s + 2. Let q be f(26). Solve j*i + q*i = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 1655\nAnswer: -23\/1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12048051 is divided by 3012009.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*k = -244, -4*i - k + 357 = -0*i. Suppose 353 = 3*o - i. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 13. Let r be a(-7). What is the third derivative of -3*q**2 - 18 + r*q**5 + 18 wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 40*(-7 + (-221)\/(-34))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (36 - -4)\/(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 1412569823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2375 = 5*m, -9*t + 6*t - 2*m = -1764. What is the lowest common multiple of t and 6?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/32 - 1\/(-4). Let y be w\/19*6\/(-9). What is the second biggest value in 0, y, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 13. Let r = -26 - -19. Let g be m(r). Let i(q) = q**3 + 15*q**2 - 3*q - 6. Is i(g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 651009682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 819*r**2 - 47*r + 21. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-102)\/18)\/(1\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-984*y + 263*y + 441*y)*(-21 + 11 + 16).\nAnswer: -1680*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -301, -601, -909, -1159, -1285, -1221?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2625, -1, 5 in descending order.\nAnswer: 2625, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 - -175.7. Let v = 276731247 - 276731254.70000076. Let d = v + z. What is d rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19181 - 46191. What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.324999308 + 0.325. What is g rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12123 + 30322?\nAnswer: 103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79579*d**2*o**2*y**3 - 2*d**2*o**2 + d*o*y**2 + 133*o**3*y**3 - 4224174*o**3*y wrt y.\nAnswer: -477474*d**2*o**2 + 798*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 37*u + 60. What is o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5 + 2 = 2*f, -509*f = -511*f - 4*s + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -783, -2028, -3979, -6636, -9999, -14068?\nAnswer: -18843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31756.4799 rounded to the nearest one hundred?\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -2*p + 5, -4*c - 28 = -4*p. Suppose -p*l + 4*u + 5 = -11, -3*u - 12 = -4*l. Suppose 0 = -x - 1, -x = m - l*x - 16. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35 + 2 - 2 - 0. Suppose s = 6*s + f. Let q = s - -13. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/50)\/((-7)\/(22 + 13)). Solve -4\/5 + k*m**5 + 8\/5*m**4 - 2*m + 8\/5*m**3 - 4\/5*m**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214 a factor of 382829182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231209 is divided by 2312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 402a1ab?\nAnswer: 402a1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/6 + (-13)\/(-78). Suppose m = -2*u - v - 4, 0*u - 5*u = -4*v + 10. Let g(h) = h**3 + 4*h**2 + h + 2. Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 - 5*h**3\/3 + 23*h**2\/2 + h + 3. Is 23 a factor of a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084179 - 1634756 = -106*p + 2451449. Is p a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3\/437962, 5 in descending order.\nAnswer: 11, 5, 3\/437962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 15*u + 30. Determine h(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = 0. Let a = -11 - -23. Put -1, a, x in descending order.\nAnswer: a, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0 (c) -1\/170 (d) -4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j)*(1 - 3 + 3) + 2*j - 1 + 1 + 3*j + 0*j + 0*j + (3*j + 3*j - 4*j)*(-4 - 2 + 4 + (5 - 6 + 8)*(-877 + 106 - 268)).\nAnswer: -14544*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1068*a**2*o + 3*a**2 + 1549*a*o wrt a.\nAnswer: -2136*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 16*f - 14. Let z be a(-6). Calculate the highest common factor of 430 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**7\/56 - d**6\/12 - 3*d**5\/20 - d**4\/8 - d**3\/24 + 11*d. Factor q(u).\nAnswer: -u*(u + 1)**3*(3*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and -0.10527?\nAnswer: 5.57931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 3*o**2 - o**3 + 3*o**3)*(37*o + 6723 - 6723 + (-1 + 3*o + 1)*(4 - 1 - 4) - o - o + 6*o).\nAnswer: 76*o**4 + 38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175629445 and 19095?\nAnswer: 6365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010010 - -101?\nAnswer: 100000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -110 - (-30 - 36 - 0)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 24. Suppose 0 = c*w - 3*w - 4. Is 6 a factor of 48*(10\/w)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 59, 2\/9, 2, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -0*p - f, 20 = 5*f. Let w = 2 - p. Suppose 53 - w = 5*i. What is the least common multiple of i and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 1, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 42 + 17 - (28 + -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 + k**2. Let r(y) = 38*y - 3. Let w = 251 - 257. Let o(v) = 5*v - 1. Let c(j) = w*o(j) + 2*r(j). Determine c(z(n)).\nAnswer: 46*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*m - 10, 5*i - 22 - 17 = 4*m. Let q(u) = -6*u**3 - 19*u**2 - u + 46. Let d(b) = b**3 + 4*b**2 - 9. Let j(a) = i*d(a) + 2*q(a). Determine j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140189550*t**2 + 1750*t + 21788 wrt t?\nAnswer: -280379100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1661 is divided by 496.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 140429102.74 + 672?\nAnswer: 140429774.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -2 - (3 - -4)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 9*w + 2195830. Let m be 4\/38 + w\/247. Calculate the greatest common divisor of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 - r - 2. Let t = 11 + -7. Suppose 0 = s - 3*s. Suppose t*f - 5*f = s. Give j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 18*d**3 + 214*d**2 + 15*d - 1754. Calculate q(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9094*o - 260199 = 121749 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2, -5\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54200216 divided by -16184.\nAnswer: 3349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(833)*-3 - sqrt(85)\/(sqrt(45)*1)).\nAnswer: -127*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2)**(-2\/55)\/((m*m**(-2\/21))\/(m*(m\/(m*m*m*m**(-2\/5)*m)*m*m)\/m)))**(-27) assuming m is positive.\nAnswer: m**(16776\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 32.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:56 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19)*-1 + 1*sqrt(2736))**2.\nAnswer: 22*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*r + 6, -4*o = 6*r - 3*r - 2. Let c be 46\/14 - 2\/7. Suppose r*z = c*z + 201. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) -4 (c) -7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617 - 2148 = 273*a + 122*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-4)\/((-20)\/(-25))). Let i = 252 + -249. Sort -6, 5, i, c in decreasing order.\nAnswer: 5, i, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 54 (b) -3424 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 9)\/(12\/(-60)). Find the third derivative of -6864 + 6864 + v*m**2 + 19*m**6 wrt m.\nAnswer: 2280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7 = 2*q, 5 = 5*u + 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z + 13*z**2 + 5*z**3 + z**3 + 4*z + 3*z**3. Let b(g) = -2*g**3 - 7*g**2 + g. Let t(m) = -m**2 + m. Let o(v) = b(v) - 4*t(v). Give 26*o(h) + 6*q(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + (7 - (7 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15927 + -1002?\nAnswer: 14925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005922111587 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*1)\/sqrt(8))\/(sqrt(4) + sqrt(16)\/sqrt(16)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v - 21. Let f(o) = -7*o + 14. Let k(s) = 7*f(s) + 5*m(s). Determine k(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 45 = -2*q. Suppose 0*d = 4*d - 4*x - 24, -5*d + 3*x + 24 = 0. Calculate the remainder when q is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**3 + 47*f**3 + 101 - 51 - 50 - f**2.\nAnswer: 31*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/11, 3\/2, -4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvfrvgrovg. Give prob of picking 1 v and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001193379 rounded to six decimal places?\nAnswer: 0.001193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 4, 3, 1\/4, -185, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(-3) + (-6)\/18. Is (2\/3)\/(f\/276) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3173 is divided by 124?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7260 and 1541100?\nAnswer: 16952100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023497991 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3 + (-1*2)\/(12\/(-66)) and 41.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/48 and 77\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5171507 micrograms?\nAnswer: 0.0000000000005171507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23766 - 23177. Calculate the highest common factor of 266 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363073504.\nAnswer: 2, 29, 239, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r + 13*r**2 - 3*r**2 - 7*r**2)*(0*r + 2*r + 0*r).\nAnswer: 6*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q - 18. Let j(k) = 13*k + 17. Determine 6*j(h) + 5*x(h).\nAnswer: 13*h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.04 + -9. Let i = -0.0395 + n. Round i to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5278928 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/10*(1 + (-78)\/3). What is the greatest common factor of 60 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -2*b - 144. Let s be (7 - (4 - 1)) + b. Let r(t) = -t**2 - 11*t - 8. What is r(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 3 - 4*j**2 - 3*j + 3*j**2 + 3*j**3. List the prime factors of c(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1902 and 12465391.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**2 - 17. Let k be -1 + -3*8\/6. Let r(f) = -1 + 12 + 7 + 11*f**2. Let n(p) = k*r(p) - 4*b(p). Differentiate n(h) with respect to h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 + 193*p**2 + 28*p - 946. What is u(-48)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13531 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3295385913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.367105 to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from klklpllklk?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -35*m**2 + 4*m - 4. Let x(b) = 33*b**2 - 3*b + 3. Let h(s) = -3*v(s) - 4*x(s). Let q(g) = -16*g. What is q(h(f))?\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63668 + -35927. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let s(j) = -143*j - 3. Determine s(v(a)).\nAnswer: -286*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 - -202. What is the remainder when z is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-66))\/((-99)\/(-162)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + x**3 - 4 + 2*x - 2*x + 4*x**3 + (-5*x + 2*x + 4*x)*(x**2 + 0*x**2 + 0*x**2) + x**3 - 2*x**3 - 2*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/1666*2\/(-4)*7.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67487 or -67485?\nAnswer: -67485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(((-9)\/(-6))\/((-96)\/(-64))). Sort 323, 3, -5, z.\nAnswer: -5, z, 3, 323","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000235628 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44372 and 109.\nAnswer: -44263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -39 - -2 - -92) + 7\/(14\/12)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:19 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a hour in seconds?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 7*s - 2, 94 = 4*w + 5*s. Let c(r) = -w*r**2 + 17 + 17 - 34. Let i(h) be the second derivative of -h**4\/12 + h. Give i(c(f)).\nAnswer: -441*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21229344\/5 or -4245869?\nAnswer: -4245869","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {k: 1, v: 1, d: 1, o: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -2. Suppose 2*r + 4*r - x = 0. Solve 0*f = -r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35, 0, -1\/109?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21*1*(-2)\/6. Suppose -n - i = -1. Let l(q) = -q**2 - 8*q - 8. Let p be l(n). Which is the second smallest value? (a) p (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5013 + 1562 = -29*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqmq when four letters picked without replacement from qqqqmmqqqqqqqmqqqq.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320132 and 728284?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -7\/21775 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 11\/4 - (-10)\/(-8). Is 2137 + 0*1\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9 + 1 + 0 - 3*w - 7. Let m(y) = -y**3 + 7*y**2 + y + 1. Let v be m(7). Let i be (1\/2)\/(2\/v). Calculate z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 12 = 4*s, 8*f = 10*f - 4*s + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556883 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120\/19 - 10\/19*c**2 + 2\/19*c**3 - 112\/19*c.\nAnswer: 2*(c - 10)*(c - 1)*(c + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.2443 millilitres in litres?\nAnswer: 0.4622443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1867 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -4, -5, 6, 24, -2, 2 in ascending order.\nAnswer: -41, -5, -4, -2, 2, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - 2*sqrt(200)) + sqrt(200))**2 - (sqrt(22)\/sqrt(99))**2 - (3 + ((-2 + sqrt(128) + sqrt(128))*-4)**2).\nAnswer: -74333\/9 + 1024*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 414 in decreasing order.\nAnswer: 414, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*i - n, n - 5 = -8. Solve -13*x = -i + 19 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a week in hours?\nAnswer: 2478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.626 + 0.626. Which is the closest to 1\/3? (a) -0.05 (b) 1\/7 (c) 0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-730)\/(-15) + 4\/(-6) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16847 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*v + 450*v - 34 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 + r**2 + 2*r - 3. Suppose -15*a - 37 = -52. Give u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -16*i**2 - 11*i**2 + 20*i**2. Let z(s) be the second derivative of -s**3\/3 - s. Determine z(l(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200100001110 (base 3) in base 9?\nAnswer: -2610043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 15*b - 7. Let t be q(15). Let p = 9 - t. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3)\/y)\/y*y*y\/y**(2\/27))**41\/((y\/(y\/(y*y*y\/(y**(1\/3)*y))))**(-31\/2))**34 assuming y is positive.\nAnswer: y**(23264\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a - 4. Let v be t(3). What is the third derivative of -j**v - 16*j**3 + 25*j**3 - j**2 wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 17 = 3*y, -4*k - 6*y = -4*y + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8\/43 + -2448\/215. What is the common denominator of 17\/28 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000010000 - -10?\nAnswer: 111000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3858, 5302, 6744, 8184?\n\"Answer: -j**2 + 1447*j + 2412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 61622.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108785.\nAnswer: 3, 5, 193, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)\/(414\/(-552))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323964770.\nAnswer: 2, 5, 83, 269, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, 5, 44, 85, 128, 173?\n\"Answer: h**2 + 34*h - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*y + 27, -5*v + 42 - 17 = 5*y. Let m = -4 + v. Solve -m*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61a76 (base 13) to base 12.\nAnswer: 85586","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 23. Sort -8, 0, t in increasing order.\nAnswer: -8, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 782 + -786.87. Let j = w - 0.13. Put 2, j, -3 in decreasing order.\nAnswer: 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -19, -55, -117, -211, -343?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 100908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 3*l + 3. Let j = 58 - 52. Suppose 0 = m + 2*u - j, -u + 3 + 7 = -3*m. What is n(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10343213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17310296.\nAnswer: 2, 2163787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122.72 - 129. What is h rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28243347 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*c = -8. Let h = 0 + c. Let x be (h - 14\/2) + 75. What is x rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41656 and 3280?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.3. Let f = -4 + 7. Sort s, f, 3\/5 in decreasing order.\nAnswer: f, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**3 - 4*g**2 - 5*g + 1. Let v be f(-4). Let b = -149 + v. Let i be (2\/8)\/(8\/b). Solve i*r + 7 = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51, 6, -4896, 3, 7, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.047825\nAnswer: 0.047825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1254511423 - 21?\nAnswer: -1254511444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2664*b - 1332*b + 594*b**3 - 1329*b.\nAnswer: 594*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**9\/504 - i**6\/72 + 2*i**3\/3 - 4*i. Let h(j) be the second derivative of b(j). Find the third derivative of h(c) wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 + 195 = 295*i - 252. Solve 2*m = i*c + 6*m - 14, -3*c + 5*m - 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200873169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1252598805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -16777\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Suppose -d + 4*p = -g*d + 8, -17 = -5*d + p. Let t(y) = -y - 1. Let v be t(-6). Solve -l + d = -v*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 564249115 and 921.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-18)\/12*(-2)\/(-3). Suppose -3*u - j + 1 = -5*u, f*u - 4*j + 9 = 0. Let z(i) = i**3 - 4*i**2 + 5*i - 4. Let q be z(3). Solve -q*r - u = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697048 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 478 and 1?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21037*g*u**3 - 18*g*u**2 + 33*g*u + 12*g + 28*u**2 - 30995 wrt u.\nAnswer: 126222*g*u - 36*g + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 1, -252501, 4 in increasing order.\nAnswer: -252501, -22, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppzppttphhppzt. What is prob of picking 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 24.6. Let j = k + -24.6. Let r = j - -20.2. Which is the second smallest value? (a) r (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -25 - 5. Let p(m) be the third derivative of m**4\/12 + 7*m**3\/3 + 16*m**2. Is p(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from cgggcgcggcg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b**2 - 3*b - 7. Let m be t(-5). Suppose 4*h + 40 - 4 = 3*a, -31 = -2*a + 5*h. What is the greatest common factor of m and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790410522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -55, -82, -109?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5\/10 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1582 - 41*d**3 - 1582)*(0*d + d + d**2 + 0*d).\nAnswer: -41*d**5 - 41*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -124. Let u = -38 - f. Find the third derivative of -b**2 + u*b**4 - 32*b**4 + 3*b**2 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 454656 and 20.\nAnswer: 2273280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csboz. What is prob of sequence cz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose -3*w = -d - 10, -c*d = 2*w - 4*w - 10. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2286 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 4\/(-32) + 114\/16. Suppose 3*n - 2*s = -s + 10, n - f = s. Let u(o) = 16*o + n*o**3 - 20*o + o**2 + 1 - 2*o**3. Determine u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23153327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(r - r + r) + 1552*r + 2188*r + 2398*r - 524*r.\nAnswer: 5616*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61306 * -1.\nAnswer: 61306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 3*n - 37, 0 = -5*x + 2*n - 83. Let t = x - -22. Let l be 48 - (t + -2 + 1). What is the greatest common divisor of l and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40025123 to the power of 1\/2, to the nearest integer?\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14*q - 1. Let n(o) = -15*o. Give -2*a(b) - 3*n(b).\nAnswer: 17*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/12 + (-6)\/((-396)\/(-55)). Let c be 18 - (y + -7 + 7). Solve 0 = 4*i + i - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = h + 100. Let v = -5 + 8. Suppose -u = v*u - h. What is the highest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*t + 14, -5*t - 90 = -70 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 261*j - 2734. Is f(45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-143892)\/(-6834)) - 1\/3. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2334 + -2330. Sort j, 1, 177, 0.1.\nAnswer: 0.1, 1, j, 177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109090835*s*u - 70437*s + 1279 wrt u.\nAnswer: -109090835*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -345, -343, -341, -339, -337?\n\"Answer: 2*q - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 851 + -397. What are the prime factors of r?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 212.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -15. Suppose -7*l + 3*l = -h - 651, -l - p*h = -184. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2019*t - 3745. What is the tens digit of w(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -668*b + 10. Let n(y) = 1340*y - 18. Calculate 4*n(i) + 7*s(i).\nAnswer: 684*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30583063 and 826.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39828034, -39828043, -39828062, -39828097, -39828154, -39828239?\nAnswer: -39828358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 5*q**2 + 3*q + 1. Let p be k(4). Let a(d) = -4*d + 2. Let g be a(p). Let h = 35 - g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 22*o = 64. Suppose 0 = -0*x - x + 5*a - 12, -x - 3*a = -12. Suppose x*t + t - o = 0. Solve 0 = -5*u - t*k + 8, -4*u - 2 = 5*k - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-8)*194\/(-19691)*116.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - (158 - 161)) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s**2 - 347*s - 278. Give i(27).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360588861.\nAnswer: 37, 117853753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1610.096 litres?\nAnswer: 1610096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 190, 162, -264, -1286, -3102?\n\"Answer: -33*f**3 - f**2 + 206*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*d + 125 - 125 + 330*d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 13. Let g = -1823 + 1806. Calculate d(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12271 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1338 = -4*h + h, -2*h - 2*l + 912 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 6010?\nAnswer: -6008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/60 + 5*i**4\/12 + 11*i**3\/6 + i**2 + 6*i. Find n such that q(n) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let o = -18 + 16. Let p(a) = a**2 + a - 1. Let q(r) = o*p(r) + 2*l(r). Let u(n) be the first derivative of -n**2 - 1. Calculate u(q(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 9. Let i(c) = -7*c - 4. Let r(a) = 9*i(a) + 4*y(a). Let k(z) = -2*z. Calculate r(k(t)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -614.7.\nAnswer: -612.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52604, 52600, 52594, 52586, 52576?\nAnswer: 52564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**3 - r**2\/2 - 12*r. Determine y(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 6, -5, 11, 0.4 in decreasing order.\nAnswer: 11, 6, 0.4, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-33))\/(-2) + (-1348350)\/(-165). Suppose w - 13*w + x = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 28356, -90, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11790611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l. Suppose 196 - 7 = 3*g. Let w be (-2)\/7 + 20367\/g. Let t(n) = -w + 323 + 2*n**2. Calculate x(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3905796 and 38076?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 442\nAnswer: 21\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 6*n**2 + 5*n - 6. Let m = 158 - 155. Let v(t) = -t**2 - 8*t**m - 1 - 14*t**3 + 5*t + 21*t**3 - 4*t. Calculate f(g) - 6*v(g).\nAnswer: 4*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(4 - 5\/(15\/19)). Let y(w) = -w**3 + 11*w**2 - 4*w - 3. List the prime factors of y(i).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.4 (c) -0.7 (d) 1\/3 (e) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 19485784\/7 and 2783682 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 - 123. Suppose s = -11*n + 6*n. Let j be (3 - n\/(-4))*10. Solve 3*l + 4 = 2*m - l, m - j*l = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.892 at least 2.87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*sqrt(1584)*3 - sqrt(1584)*-3*-3))**2.\nAnswer: 32845824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/12 - 2*x**2. Let k = -9 + 9. Let y(p) = -6*p - 4*p + k*p. Calculate 11*w(q) - 2*y(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 1\/8, -33, -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1646, -6555, -14738, -26195, -40926, -58931, -80210?\nAnswer: -104763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 - 6*w**2 - w**4 - 2 + 4*w - 2*w**2 + 5*w**2 as g*w + a + q*w**3 + m*w**2 + s*w**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 3, r: 1, y: 1, l: 8}. What is prob of picking 3 s and 1 r?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-261)\/2 - 4)*-4. Let x = 2077\/4 - q. Let i = 25 - -24. Calculate the common denominator of i and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3 - 4*q + 5*q - 7 + 5. What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p. Let u(x) = 113*x + 6. Determine u(a(c)).\nAnswer: -1017*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + 5. Let r be s + (0 - (-3 + 5)). What is the highest common factor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -1, -0.035, 2\/17 in descending order.\nAnswer: 2\/17, 0, -0.035, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4944 and 44715081?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 401*j - 806.\nAnswer: (j - 2)*(j + 403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -0.44 (c) 33786 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4636280 divided by 4510\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0 + 1\/2*n**2 - 16*n + 1\/6*n**3 + 11\/12*n**4. What are the prime factors of f(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 7*w**2 + 7*w. Let u be (-8)\/6 - -2 - 3500\/30. Calculate the remainder when (u\/(-6))\/(3\/9) is divided by k(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101122112202 (base 3) to base 9\nAnswer: 1348482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.4 + -41.4. Put -2\/3, -1\/28, h in decreasing order.\nAnswer: h, -1\/28, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2250, 16986, 56214, 131934, 256146?\n\"Answer: 2000*a**3 + 246*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24459583339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38158566 to the nearest integer?\nAnswer: 6177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -77978, -4 in ascending order.\nAnswer: -77978, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/11 (c) -1.7 (d) -4631 (e) 0.3 (f) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18472 and 385603.\nAnswer: 3084824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -32*c**2. Let x(p) = p**2 - 460*p. Give x(v(w)).\nAnswer: 1024*w**4 + 14720*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110181706 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Suppose 0 = -b - 3*x - 12 + y, 3*b + 3 = x. Let l be 2\/(-3) + (-4)\/(-6). Sort b, l, -1 in ascending order.\nAnswer: b, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3121 + -3119. Suppose 0 = h - 1, 10*h - 5*h = 2*z + 1. What is the second derivative of -44*m**2 - 39*m**2 - z*m + 101*m**y wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {v: 3, w: 1, q: 1, x: 3, l: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1037 + 1054. Let r(o) = 5 - 5 - h*o + 22*o - o**2 - 3. Give r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Let q(n) = n. Let p(o) = 3*o - 3*o + 2*o. Calculate k*q(v) - 3*p(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + 408\/255. Solve -10 = -2*l + c*y, -5*y - 22 = -7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.6, 0.5, 2\/11, -0.08, -0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 4*w - 20. Suppose w*h + a - 17 = 0, -a + 4 = -4*h + 27. Suppose 3*x + 46 = h*x. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.926345 rounded to one decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 759 - 759. Put r, 5, -11 in decreasing order.\nAnswer: 5, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1475634518.\nAnswer: -1475634516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212894 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let i(k) = 634*k - 417*k**2 + 3 - 3 - 634*k. Give i(o(l)).\nAnswer: -1668*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v. Let u be ((-2)\/(-22))\/(-1 - -2). Let j be 9*((-1)\/5 - (-6)\/(-45)). Which is the nearest to v? (a) 3\/7 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1 - 3.1. What is the smallest value in v, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 b, and 1 o when four letters picked without replacement from {p: 2, c: 2, b: 2, o: 1, j: 1, a: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 0.02, -0.1, 1361?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:55 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*p + 5140 + 5161 - 10301.\nAnswer: -63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10) - (-16 + (161008\/360)\/29). Let s = 3.95 - -0.05. What is the closest to v in s, -4, 4\/5, 12?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 196*p**2 - 68*p + 899. Let d be l(-109). Round d to the nearest ten thousand.\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001125 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872765 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -882 (base 9) to base 4.\nAnswer: -23102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8\/53, 19\/3, -0.2, -0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*v + v + 15, 3*r = 4*v + 7. Let d be ((1 - 1) + 2)\/(-2). Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 190 = -2*f + 7*f, 0 = f + g - 38. Let h be (-1 + 0)*f\/(-2). Suppose z - 56 + h = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118968264 by 4957011.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10223 (base 5) in base 14?\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62.6, -16322\/7, 1?\nAnswer: -16322\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12969883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 28 + 20)*(-3*y + 4*y - 5*y).\nAnswer: -356*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from kffffk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3230 - 2984. What is the third smallest value in m, -2\/5, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2048*w**2 + 6272*w + 4802 = 0 for w.\nAnswer: -49\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 315 = 2*l. Let k = l - -192. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 2*q. Suppose z = -0*z - 2*h - q, 3*z + h + 3 = 0. Calculate the least common multiple of 9 and (z\/4)\/(1\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0346869 rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5423.355 minus 2?\nAnswer: -5425.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 4.4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldd when three letters picked without replacement from {l: 10, d: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 23*b - 20*b, -20*o - 56 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 292599*n + 51. Calculate m(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*b - 3*v, -v - 8 = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p. Let a = -6288 - -6292. Solve p = a*z + z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 30*j**2 - 5*j + 4. Let w be c(1). Suppose 4*n - 32 = 4*v, -5*n + 3*v + w = -n. Solve 10 = -n*b + 7*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a - 3. Let q be (1 + 5)*a\/4. Let w(i) = i**2 - 5*i + 4. Let s be w(q). Are s and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/3 - 42494*z**2\/3 - 14597275*z - 3807667500 = 0.\nAnswer: -41444, -525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/16*(-30)\/(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 736, 1579, 2410, 3223, 4012?\nAnswer: 4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**9\/1008 + w**8\/140 + 3*w**7\/140 + w**6\/30 + w**5\/40 + w**3 + 2. Let z(u) be the third derivative of n(u). Factor z(k).\nAnswer: 3*k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68)*6 + (-1*sqrt(34))\/sqrt(2))**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.049 and -0.5?\nAnswer: 0.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 534, 487, 414, 321, 214, 99, -18, -131?\n\"Answer: o**3 - 19*o**2 + 3*o + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 364.71 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 743.000000371 - 743. Round z to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 1. Let n be x(1). Let o be (n + 6)\/2*2. Let y(m) = -67*m - 801. Let b be y(-12). Solve -j = j - b*f - o, -2*f - 3 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1\/2*2. Let i(f) = -f**2 + f + 3. Let t(v) = -v - 1. Let w(l) = s*t(l) + i(l). Suppose 4*g - g = -12. Determine w(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/52)\/(12\/16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2 - f6a?\nAnswer: -e98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)*j*(j\/j**(-1\/5))\/j*j\/j**(-2\/13)*j**(-3\/7))**(-45) assuming j is positive.\nAnswer: j**(-6519\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + q, -21*s = -23*s + q - 4*q. Let f(m) = -4*m + 56. What is f(s)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262577104 to the power of 1\/3, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z - 3811 - 1049. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24103 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3949\/7623 + (2\/9 - 0) and 39\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -5. Let k = 2 - s. Let b = -2 + k. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2605369 times 157\nAnswer: 409042933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 26*b + 51. What is k(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/502191?\nAnswer: 14\/502191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/40 - 3*d**5\/20 - 25*d**4\/8 - 21*d**3\/2 - 106*d**2. Find z, given that n(z) = 0.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -53. Let c be 3\/(0 + t\/(-8)). What is the greatest common factor of c and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-136))\/(6\/(-4)) + 1017\/54?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4514)\/259 - -19)\/((-1)\/(-7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t - 15. Let p(h) = -h. Let r(a) = 2*p(a) - w(a). Let x(o) = 52*o - 50. Let c(v) = 10*r(v) + 3*x(v). Let g(y) = 32*y. Calculate g(c(j)).\nAnswer: -448*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121339 + 44083. What is u rounded to the nearest 100?\nAnswer: -77300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1431 and 27507.\nAnswer: 247563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z - 1721. Let s be d(75). Put 1, s, -24, -1, 0 in descending order.\nAnswer: s, 1, 0, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 7*a**2 + 7. Let l be u(-3). Let x be ((-46)\/(-92))\/(l\/(-8)). Let c(v) = -6*v**2 + v + 2. What is c(x)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(40)\/(-5*sqrt(128)) - (2 + (sqrt(80) + -1 - sqrt(5) - sqrt(5)))*-4)**2.\nAnswer: 322*sqrt(5)\/5 + 27201\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1496*p**4 - 425*p**4 - 1702 + 152 wrt p.\nAnswer: 4284*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5351 - 45918?\nAnswer: -50169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*r + 3*r. Let d be 2\/(-10)*(-174)\/r. Let k = d + -11\/5. Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nddnn. What is prob of sequence nnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50\/20*7*(-3)\/(-1680)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1428 divided by -9668.\nAnswer: -357\/2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2 - 10. Let u be 1 + 5\/(-3) - (-14)\/v. Suppose -3*n - 22080003 = -u*c, c + 5*n - 4*n = 5519999. Round c to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 0) + 3 + -2. Let v = -2 - n. Solve v = b + 3 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - n = a + 23, 0 = 4*a + 2*n - 14. Suppose 449*o - 456*o = -42. Solve -4*m = -a - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-25)\/(-35) + -3 + 2)*-7. Solve -5*x = 3*l - 3, -k*l - 2*x = -3*x - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 12*y - 3 + y**2 + 3. Let p be f(-7). Solve 2*g + p = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 11, p: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let z(l) = -1 - 5 - 6*l + 2*l**2 + t. Let q be z(5). What is the highest common factor of q and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 138*m**3 - 8*m**2 - 63*m + 8. Let q(z) = 137*z**3 - 6*z**2 - 60*z + 6. Determine -4*q(f) + 3*x(f).\nAnswer: -134*f**3 + 51*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019432 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 7*o + 1. Let p(d) be the first derivative of -d**4\/4 + 11*d**3\/3 - d**2\/2 + 5*d + 7. Let v be p(11). List the prime factors of x(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/55 in -577\/18, 4, 2\/7, 0.4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 9*c**2 + 0*c + (3*c - 5*c + c)*(-2 + 2*c + 2) - 3*c**2 + 4*c - 4*c)*(-3 + 5 - 3).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:22 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.761998 tonnes to nanograms.\nAnswer: 5761998000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 961 + -675. Suppose -7*g + 106 = 4*w - 6*g, 2*g = w - 22. Calculate the greatest common factor of x and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 3*l**2 + 4*l - 9. Let g be y(3). Solve a + a + 5 = 5*x, 0 = -a - g*x + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 905 + -473. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let w = 11817.1 - 11817. What is the nearest to -1\/3 in p, -0.6, w?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*l - 33 + 11 + 22 to g + h*l and give h.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1\/7, -2\/11, 5041, -5, 49\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78.1 - -74. Let o = p - -0.1. Which is the smallest value? (a) o (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-2264)\/(-24) - -1)*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) -58 (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**2\/2 - g - 1. Let b = -2 + 6. Let c(f) = 1 + 0*f + 5*f + b. Determine -c(r) - 6*v(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2916)*-1)\/(sqrt(192)\/sqrt(4) + sqrt(12)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*1\/(-2)*-2. Suppose -72 = -3*l + 5*o, -o = -0*o + q. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191646460.\nAnswer: 2, 5, 9582323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102020 (base 3) in base 4?\nAnswer: -123201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 88, 162, 236, 310?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172193, 17, 4 in descending order.\nAnswer: 17, 4, -172193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 80*x - 299. Determine s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -6388207, -5, -4 in descending order.\nAnswer: 2, -4, -5, -9, -6388207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 - 194.95. Let n = 0.0395 - w. Round n to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 40270?\nAnswer: -77\/40270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b - 17. Let f be g(9). Suppose 4*i - 23 = -i - 3*a, f = -i + 5*a. What is the biggest value in -4, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*t = -72 + 56, 3*t + 12 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 5. Suppose -z + 4*z + 148 = 2*q, -4*z - 8 = 0. Calculate the remainder when q is divided by w(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 55. Solve -5*f - l - 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-7 + 5 + -20 - -37) - 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 12. Suppose -7 = -2*h + 3*h. Let z be m(h). Suppose -i + z = -0*i. Calculate the lowest common multiple of i and 11.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20 + 15 - (1 - 43115). Suppose 0 = -2*k - l + j, 5*k - 14*l + 13*l = 107790. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**2\/2 + 2. Let h = -542 - -550. Let q(b) = 18*b - 7. Let z(n) = -6*n + 3. Let a(s) = h*z(s) + 3*q(s). What is l(a(g))?\nAnswer: 6*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = g - 0 - 7, 0 = x + 2*g - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - j**2 - 2. Let h(x) = -x**3 - 1. Suppose 20*u = 10*u + 20. Suppose 8 = -4*g, 2*k + u*g = -0*g. Determine k*s(c) - 5*h(c).\nAnswer: -c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 105750614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17923004 is divided by 96360.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*k = -3, 2*k + 0*k = -4*j + 12. Let o = j - 6. Let m(i) = -3*i**3 - 4*i**2 - 2*i - 4. Is m(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 z when three letters picked without replacement from {e: 1, z: 5, a: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6601150 and 13568?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1327*m**2 - 949560*m - 1326213396.\nAnswer: (m - 989)*(m + 1158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 20*p - 56 = -0*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**3\/2 - 172075*d**2\/2 + 1481264315*d\/2 - 13317444405\/2 = 0?\nAnswer: 9, 17203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - -97) + 0 + -4 + -9 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 - -11.6. Let b = 13.7 - 28.6. Let s = t + b. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3549?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.91 - -0.09. Let n(h) = h**2 - 55*h + 375. Let p be n(47). Which is the closest to -1\/4? (a) d (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 20. Let q be 14\/21*9\/3. Suppose -2*w = -c + 98, 8 = -q*w + 18. What is the highest common factor of r and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 322.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = m - 9 - 36, 0 = m. Which is the nearest to s? (a) -1 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279611333.\nAnswer: 241, 1160213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848\/21 at most as big as 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 68.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 55*x + 139. Calculate w(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1605 divided by 321\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -16. Solve z*k = -2*f + 18, -5*k + 26 = -3*f + 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (102\/(-10))\/(77*(-19)\/(-14630))\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 34 = 3*m, -34 = -4*a - m + 6. What is the highest common factor of 792 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 2*d**2 - 43*d - 123. Let s be t(-3). Calculate the greatest common divisor of 1014 and s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**2. Let x(v) be the second derivative of -v**5\/60 - 12*v**2 + 18*v. Let b(s) be the first derivative of x(s). Determine c(b(f)).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468530?\nAnswer: 2, 5, 31, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -251 - -145. Let w = l + 104.86. Let n = w + -7.96. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m - 24. Let j(k) = 8*k - 13. Let z(p) = 5*b(p) - 9*j(p). Let d(y) = -y. Determine z(d(l)).\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -290*c + 282*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5455, 10899, 16333, 21751, 27147, 32515, 37849?\nAnswer: 43143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.825479 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 2591902314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -189?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11204 divided by -2801?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10099593 and 567?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502244949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 71*h - 76*h + 0)*(-h + 1 - 1).\nAnswer: 5*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 46 - -24 - (4 + 4 + 27)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5932 by 1483.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 979, 1007, 1035, 1063?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 3) + (0 - 0). Suppose -2*m - 2 = u - 4*m, r = 4*u - 4*m + 24. Let h(y) = y + 4. Let z(p) = 2*p + 7. Determine u*h(q) + 6*z(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 31. Let f be j(-13). Suppose -4*s - 3*x = -7*x + f, -s - 3*x = 6. Is (-4)\/2 - 3459\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(24\/4)*(-754)\/(-2639)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 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: Convert -54501 (base 6) to base 9.\nAnswer: -11281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2 - 4. Let l(m) = -2*m - 4. Let i be l(z). Suppose -3*c + 6*c - 1695 = i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + (1 - 0) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-592)\/(-37592)*127)\/((-11)\/35).\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 26 = 2*z, q - 5*z + 21 = 1. Sort 5, 0, q, 20.\nAnswer: q, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 13.2. Let v = 2.2 - m. Suppose h - 4 = -3*h. Which is the nearest to h? (a) v (b) -6\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - 3*j - 6 + 6 to the form u + g*j and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1487 divided by 71614.\nAnswer: 1487\/71614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 67*f**3 + 2*f**2 + 6*f - 5. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 0.16?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**3\/q*q))\/(q*q\/(q\/((q**(1\/5)*q*q)\/q)))*q**1\/(q*q**(-1\/10)) assuming q is positive.\nAnswer: q**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 313*g - 3 + 313*g - 629*g to m + n*g + l*g**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -4*a + 78. Let v(u) = 5*u + 4. Let p(c) = 2*c + 2. Let x(t) = a*p(t) - v(t). Let s(b) = -4*b. Determine -2*s(o) + 9*x(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31342 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -5*p - 20. Suppose p*j - 260 = -0*j. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/693 and 49\/495.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 771*o - 12*o**2 + 10*o**2 - 771*o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 6*l**2 + 59. Let a(r) be the third derivative of -3*r**4\/8 - 468*r**2. Calculate i(a(o)).\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 775, 0.2, -3, 0.1, 8\/21 in descending order.\nAnswer: 775, 8\/21, 0.2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-2))*5217\/22607.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**2 - 245*m + 83. Calculate the remainder when i(-27) is divided by (-4)\/(-2) + 0 + 21.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 4*h - 1846177 + 1846863 to x + p*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.35 - 0.3649. Round z to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z + r - 5*r, -5 = 4*z + 5*r. Suppose z*m - 36 = -4*m. Suppose -m = -2*l + l. What is the lowest common multiple of l and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((1*sqrt(84) + sqrt(84))*-3)\/sqrt(7))\/((sqrt(168)\/sqrt(4) - sqrt(42))\/sqrt(7) + sqrt(486) + sqrt(486)*2 + sqrt(486))*3)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**5 - n**2\/2 - 1. Find the second derivative of s(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4241482 divided by -1798\nAnswer: -2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3 - 1, -4*a = 2*q - 102. Suppose -2*b - 18 + a = 0. Let t be -3 + -1 - (-5 - -1). Solve t*k - b*k = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q**(-6\/5)\/q))**(-2)*(q**0*q)**(-45)*(q**0)**(-8\/9) assuming q is positive.\nAnswer: q**(-249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.087468 and 0.5.\nAnswer: 0.587468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*t - 16 = -0*f, -4*t = 4*f. Put f, -2, -1 in descending order.\nAnswer: -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 240*s**2 + 240*s**2 + 9*s)*(2*s**2 + s**2 + 2*s**2 + (s**2 - s**2 - s**2)*(-3 + 2 - 1)).\nAnswer: -7*s**5 + 63*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -7*x**5\/60 + 19*x**2. Let y(f) = 2*f. Determine y(w(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 4\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y. Let q = y - -2. Suppose 5*p - 31 = -q*r, 2*r + 0*p - 25 = -3*p. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 42*w**2 + 5*w - 4. Give i(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/469949439?\nAnswer: 4\/469949439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, v: 4}. Give prob of sequence vvv.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.2 + -42. Which is the closest to -0.1? (a) h (b) 1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(5*(sqrt(3) + 1) + 1)*5.\nAnswer: -125*sqrt(3) - 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 greater than or equal to 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -56, -84, -144, -248, -408?\n\"Answer: -2*t**3 + 2*t**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -2*o + 248*c - 252*c, 726 = 4*o + 2*c. Calculate the highest common divisor of o and 810.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9240796553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 0. Let t be (c + -2)*1\/2*0. Let s be (t - 15)*1*-1. Solve 0 = -2*w - w - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 84*r + 5 = 82*r, 0 = 4*d - 4*r - 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2788334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2 + j - 1. Let k(a) be the first derivative of -a**4 + a**3 - a**2 + 3*a + 93. Give -k(s) - 3*m(s).\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 1, 0, 1761, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -45, -75, -121, -189, -285, -415?\n\"Answer: -l**3 + l**2 - 16*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72251.\nAnswer: 72251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/3*(-1)\/(-23)*6\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 4, d: 3, i: 1, g: 3, q: 1}. What is prob of sequence bg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16168 = -4*i - 2*b, b + 12131 = -63*i + 66*i. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 = -2*l, 0 = -3*l + 5*b - 1 - 4. Solve q - 3*q = -6, l*a - 4*q = -32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*r - 427 = 0, -13*t + r = -9*t - 577. Let n = t + -3606\/25. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73008 or -72884?\nAnswer: -73008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/10 + 8\/20. Suppose 0 = -5*a + 30 + h. Suppose z - a = -5. Solve -3*y + z*y - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 7) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, w: 4}. What is prob of sequence wwx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f + 1. Let l(i) = 4. Let n be 2 + 36\/(-6) + 3. Let y(z) = n*l(z) + 4*r(z). Let p(j) = -j**2 + 10 - 10. What is p(y(a))?\nAnswer: -16*a**4 + 32*a**3 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 9\/18. Suppose o - 10 - 20 = g. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 12*k**2 + 140*k - 230. Give q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/33)*n**(14\/5)*n assuming n is positive.\nAnswer: n**(632\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1082*m - 1546. What is the tens digit of b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -10) + (-147)\/3. Let v = 136 - d. Which is greater: v or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -108. Put i, 3, -3, 5 in descending order.\nAnswer: 5, i, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w**2 - 2*w + 1. Let j be b(4). Suppose -13*p = -j*p - 264. What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*122025\nAnswer: 12202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*t**4 + 107272*k**3*t + 232913*k**3 + k**2 wrt t.\nAnswer: 8*k**3*t**3 + 107272*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33885541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16062786 is divided by 202.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**2 + 9*q - 95. Let y(d) = -8*d**2 - 8*d + 97. Let g(i) = -3*j(i) - 4*y(i). Find the first derivative of g(l) wrt l.\nAnswer: 4*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3606.6 (b) -5 (c) 0.0513\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2789521*-27\nAnswer: -75317067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = -4*p - 16*p + 2466. Suppose -x + 112 = 4*q, 0*q = -x - 5*q + 116. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1580811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -9 - 1\/16*c**4 - 1\/8*c**2 + 0*c - 1\/6*c**3. Factor k(s).\nAnswer: -s*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637161 is divided by 464?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose 0 = -z*i + 3*m - 9, i = -4*i - 4*m + 12. Suppose 2*o - 78 = -i*o. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71337 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.129828, -0.3, -12\/7, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/293?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:24 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6869613551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124965 is divided by 31235?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614, 2291, 5034, 8801, 13550, 19239?\nAnswer: 25826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 67?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u**2 + 7*u + 77. Let s(c) = -30*c**2 - 15*c - 152. Let a(b) = -2*s(b) - 5*t(b). Find the first derivative of a(r) wrt r.\nAnswer: -20*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-868)\/(-56)*1*3*(-4)\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1976*p**3 + 2*p**2 - 937?\nAnswer: 11856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10720357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -5*f, -l + 6*l + 37 = 3*f. Let p be ((-8)\/l)\/((-4)\/20). Find the common denominator of (-20)\/p*(-37)\/(-10) and 29\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11878 + 2826 = 0. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2013 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 957121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 629 - 453. What is the highest common factor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from xtxsxptxststt?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.68 + 0.68. Let k = -576.66 - -570. Let o = v - k. Round o to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113110 + 10311?\nAnswer: -2102133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(25\/(-10))\/5. Let k(n) = -n**3 + n**2 - n + 6. Let i be k(p). Let x be 61\/i + 3\/(-18). What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -953\/63288 or 0?\nAnswer: -953\/63288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (1 - (-2)\/(-2)). Let s be o*(-2 - 0)*2. Let w = -5 - s. Let l(b) = 6*b**3 - b**2 + 1. What is l(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21227455*q**2 - 17176361 wrt q?\nAnswer: 42454910*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 635815035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304 (base 8) to base 12.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 18. Determine k(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 199846?\nAnswer: -79938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vknlkaa. What is prob of sequence val?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from {l: 4, n: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-63) - (-11272)\/18. Suppose -17 = c*v - 627*v. Solve -16 = -g - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iujcr. What is prob of picking 1 j, 1 r, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1178 and 152?\nAnswer: 4712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100121220 (base 3) to base 9.\nAnswer: -10556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1417.01 - -1417. Sort -0.2, -5, y in descending order.\nAnswer: y, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/5 + 2344*j**4\/5 + 7048*j**3\/5 + 2356*j**2\/5 - 7046*j\/5 - 940 = 0. Calculate j.\nAnswer: -2, -1, 1, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4\/4 + 13*l**3\/3 - 10*l**2 - 14*l - 6097. Determine g(10).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12073433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 40*m - 3*m + (4 - 7 + 7)*(3*m - 3*m + 2*m).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 - l - 1. Let a(q) = 26*q**3 - 4*q**2 - 4*q - 4. Calculate a(f) - 4*p(f).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/14 + -6 - (-1)\/(-4)*-14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -12. Suppose 5*l - 9*l = y. Let v(p) = -p**3 + p**2 - 1. Calculate v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102212202 + -20?\nAnswer: 102212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w - 3. Let p be -11 + ((-29)\/(-4) - 39\/156). Let a(i) = -8*i + 4. Give p*o(z) - 3*a(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r - 94 + 358 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, 44\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 248a - -173a0?\nAnswer: 1987a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 11*m**3 - 263*m**2 - 3927*m - 13230.\nAnswer: (m - 18)*(m + 7)**2*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*l = 74, -9*l = -4*f - 8*l + 258. Let i = f - 219. Which is smaller: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-35))\/(7\/245). Suppose -4*a + 3*d - 31 = 0, -4*a - d + 9 = -5*a. Let m be (8\/a)\/4 - i\/4. Calculate the highest common factor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydjgkjjdyj. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505345571 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 14*j\/3 - 5.\nAnswer: (j - 1)*(j + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/178 and -89\/3786.\nAnswer: 336954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100212200 + -2?\nAnswer: 12100212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i + 5*l, -i - 3*i + 2*l = 2. Let o(x) = x + 8. Determine o(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b**(1\/9)*b*b)\/b))\/(b*(b\/(b\/b**(-2\/23)))\/b))**(-33))**(-1) assuming b is positive.\nAnswer: b**(-2332\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttxwtwtttt. What is prob of sequence wt?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 20 - 2. Let q be (0 - 4) + o\/(2\/9). Find n such that n**3 + 1\/2*n**4 - n**2 - 1\/2*n**q + 1\/2 - 1\/2*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-62 + 4 + (-5 - (-10 + 13 + -3)))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - 1) + 6 + 1400 + -1408?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 2136, 4802, 8534, 13332?\nAnswer: 19196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, s: 8, n: 3}. Give prob of sequence sss.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 2*i**2 + 2 - 7 + 2 - i in the form q + u*i**2 + g*i and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, 2, -475, -1 in increasing order.\nAnswer: -475, -267, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -19. Suppose a*i = -0*i. Solve -n - 4 = 3*b - 4*b, -3*n - 5*b + 20 = i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*j**2 - 4*a**2*j - 2*a**2 + 2*a*j**3 + 38 wrt j.\nAnswer: 4*a**2*j - 4*a**2 + 6*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t - 3. Let p be f(-2). Let c be (p\/6)\/(6\/(-8)). Put 4, c, -1 in descending order.\nAnswer: 4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16849 - 1314. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 1264320.\nAnswer: 29079360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, -23, 5 in increasing order.\nAnswer: -23, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 minus 888?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15377097 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -15. Let a = 81 + -50. Calculate the remainder when a is divided by (1 - x\/(-12))*-33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, -1409, -6.\nAnswer: -1409, -6, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205875 divided by 7625.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - 5*sqrt(136)\/sqrt(4)) + sqrt(34) + sqrt(34) + (sqrt(340) - 2*sqrt(340) - sqrt(340))\/sqrt(10))\/((sqrt(90)\/sqrt(5) + sqrt(18) + sqrt(2))*1).\nAnswer: -4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide (-28054)\/(-16)*1560\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9713, 9688, 9639, 9554, 9421, 9228, 8963, 8614?\n\"Answer: -2*f**3 - 11*f + 9726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l + 2. Let t(b) = 1. Give -d(f) + 4*t(f).\nAnswer: -33*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 26 = -1. Let l(g) = 86667*g**3 - g**2 + 3*g - 9. Let p be l(f). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-732)\/(-1680) + (-8)\/28).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 16*r - 1. Let a be g(0). Which is greater: 3\/53 or a?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 5*b**2 + 2*b - 3. Let n be w(-4). Suppose -5*x + 2*s = -129, 6*x + 2241 - 2399 = 2*s. Solve -n*g + x = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 14. Suppose -3*f + 5*x = -23, 2*x - 4*x = 2. Let k be a(f). Suppose k*w + 8 = 2*g, -4*g + w - 5 = 7. Put 3, g, 4 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from yyyykyykyy.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -2 + 13 + 0 + -18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*u**2 + 225*u**2 + 0*u - 307*u**2 + 0*u.\nAnswer: -1499*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r - 76*r - 34*r + 191*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 7. Let q(w) = -2*w**3 + 33*w**2 - 15*w - 21. Let r be q(16). Give k(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6088677\/44 + -138351. Let p = z + -201\/11. Is p smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**3 + 7*f**2 + f - 4. Let q = 133 + -139. Let o be (-28)\/q*(-78)\/(-52). Let k(n) = 8*n**3 + 6*n**2 + n - 4. What is o*k(d) - 6*x(d)?\nAnswer: 2*d**3 + d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-8)\/4)\/((-18)\/126)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*l = -0*l - 120, -2*l = -8. Let p(o) = -2*o**2 + 53*o - 47. What is the smallest common multiple of 28 and p(h)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 124*c - 2. Let a(l) = -122*l + 2. Calculate 3*a(z) + 2*q(z).\nAnswer: -118*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428 + 684. Calculate the greatest common divisor of k and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104477 and 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/18*6 + 5. Let o(g) = -3*g**2 + 12*g - 4. Let t be o(y). Solve -5*a = -t*n - 35, -n + 4*a = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, y: 2, a: 9}. Give prob of sequence fay.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -154 + 130. Solve -22 = -c*w - 2*l, -4*w = l - 7 - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -1, -3, 5, -5.72?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163590 divided by 5.\nAnswer: 32718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -2888685.\nAnswer: -2888684.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-15))\/(8\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + 1*(sqrt(17) + 1)**2 + sqrt(17))*-2.\nAnswer: 40*sqrt(17) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158541387?\nAnswer: 3, 43, 47, 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/1*((-30 - 18) + 27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124 + 7*d - 10*d**2 - 4 - 17 wrt d?\nAnswer: -20*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x - 9. What is the tens digit of w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - 2*t**3 + 9 - 4 - 2*t - 2 as s*t**3 + d + o*t**2 + m*t and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13779 (base 14) in base 7?\nAnswer: 260212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-10))\/(6\/40). What is the common denominator of (-170)\/(-56) + h\/28 and -38\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -1. Let l be (-4)\/1 - (-495)\/132. Sort 2\/7, l, a in ascending order.\nAnswer: a, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:42 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 11*i + 6. Suppose 0*b = 2*b - 12. Does 18 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -132*b + 11. Let t be o(-9). Suppose -5*q + 1797 = 2*z, 2*q + 483 - t = 2*z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 + 129. What is the first derivative of 3*g**3 - 4 + 0 - 2 + i wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13705 (base 8) to base 16.\nAnswer: -17c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 3}. Give prob of sequence kl.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3718 and 242066?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a factor of 469258191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - u**3 + 18 + 17 + 14.\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5236\/588 + -3 + -6.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 3*x - 1. Let g be 3\/(-3) + 5 + (7 - 10). Suppose 5*o + 8 + 7 = 0. Let t(a) = a. What is g*f(d) + o*t(d)?\nAnswer: -3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m + 122. Let n be p(0). Suppose 5*u - 2*x = 863, 4*u - 5*x - n - 565 = 0. What are the prime factors of u?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1245 >= -514.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261 + 154. Let t = z + 111. Solve t*p = -3*r + r + 14, -9 = -3*r - 3*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 + -526. Put 34\/3, o, 1\/3 in decreasing order.\nAnswer: 34\/3, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11364, -559, 1 in descending order.\nAnswer: 5, 1, -559, -11364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043113678.\nAnswer: 2, 3, 11, 811, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v - 1. Let f be x(1). Let d = -7 + f. Suppose 5*p + 4*j = 84, -p + 3*p - 5*j - 27 = d. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/75 - 219\/45. Let i(x) = -x**2 + x + 1. Let s(k) = 3*k**2 - 5*k - 3. What is b*i(m) - s(m)?\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 179 = 11. Let i = b + 56. Suppose i = 17*y - 5*y - 144. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1\/2, 0.9, 2\/9, -9, -23 in descending order.\nAnswer: 5, 4, 0.9, 2\/9, -1\/2, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*c + 73*c + 84 = 0. Let s = c - 13. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7942738, -15885481, -23828228, -31770979?\nAnswer: -39713734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -286.\nAnswer: -5\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*b + 153*b - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 57 + 109 = 14*d - 74*x + 49*x, -4*d + 15*x = -89 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*g**4 - 3\/2*g**2 - 1 + 7\/2*g - 7\/2*g**3 = 0. What is g?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**4\/16 - 3*b**3\/4 - 139*b + 215. Let m(h) be the first derivative of l(h). Solve m(w) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let k(i) = -i**2 + 6*i - 6. Let j = 216 - 210. Let n(c) = -7*c**2 + 49*c - 49. Let o(y) = j*n(y) - 49*k(y). Calculate u(o(a)).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(64\/(-56)) + -4 - 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 14 = x, -15 = -x + 2*i - 5. Suppose -6*r + 11756 = -x*r. Let n = r + -1282. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 926451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(40) - sqrt(240)\/sqrt(6)))\/(sqrt(24)\/((sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21513 and -102083.\nAnswer: -123596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 387, 565, 761, 945, 1087?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53240694545 and -0.7?\nAnswer: 53240694544.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 532691351 + -0.3.\nAnswer: 532691350.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64875, 64917, 64959, 65001, 65043?\nAnswer: 65085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t**2 - t. Suppose -2*x - 12 + 42 = 0. Let q(r) = r + 16. Let m be q(x). Let p(i) = 2*i**2 - 13*i + m*i - 18*i. Calculate w(p(h)).\nAnswer: 48*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 702, 1805, 3308, 5187?\nAnswer: 7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46577 + 145?\nAnswer: 46733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 825?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 13\/((-26)\/(-20)) + 23641 + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-6)\/9*-3. Suppose 0 = h*q - 54 - 52. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 <= 9\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 222*i**4 + 0 - 220*i**4 - 40*i in the form s*i**4 + k*i**2 + w*i + a + t*i**3 and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*q**6 - 2*q**2 + 4*q wrt q?\nAnswer: 4680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 1137 + 569 + 568.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let z(t) = t. Let i be 123\/205*10\/9*6*-1. Let f(h) = -5*h + 1. What is a*f(m) + i*z(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/3)\/(12\/(-60)). Suppose j*z + 0*z = 4*z. Is z less than or equal to -18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b96 (base 16) in base 15?\nAnswer: -d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -1140, -1456, -1770, -2082, -2392?\nAnswer: -2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 73 = -4*s, 7*a - 6*a - 366*s + 363*s = -101 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 66, 97, 142, 207, 298, 421, 582?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82649145 is divided by 1311891.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 20*n**3 + 2*n**2 - 1. Let w(r) = 20*r**3 + 2*r**2 - 1. What is -5*t(g) + 6*w(g)?\nAnswer: 20*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:18 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-15))\/1 + (-2)\/(-10). Let g(f) = 3*f + 1. Let x(n) be the third derivative of n**4\/24 + n**3\/6 + 2*n**2. Determine t*g(y) - 2*x(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6*o + 8*o - 10 = 0, 3*o + 9 = 0. Put f, -30, 5 in ascending order.\nAnswer: -30, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 + 13*d**2\/2 + 2*d + 2512. Determine h(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-3))\/((-175)\/(-105)). Let q(a) = 11*a**3 + 2*a**2 - 1. Calculate q(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5*x + 15 = -13*p, -23 = 5*p - 3*x. What is the closest to -1 in p, 3\/7, -0.0701?\nAnswer: -0.0701","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 102*g - 68*g. Let j = -75 - -72. Which is the biggest value? (a) g (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5328\/5*c + 21\/5*c**2 - 1524\/5.\nAnswer: 3*(c + 254)*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 406090908 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 3*c - 17. Let t be a(5). Suppose 0 = 6*p + t - 102. Suppose 30 = 3*q - 6. Calculate the remainder when q is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 13. What is the remainder when j(-9) is divided by (-110)\/(-77) + (-15)\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 181677024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 24*v**2 + 9*v + 188. What is the hundreds digit of j(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1111001010101?\nAnswer: 1111001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 8*q - 4. Let a be y(-8). Let r = a + 18. Suppose 2 + r = o. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 + 58\/3*q - 7\/3*q**3 + 5\/6*q**2 + 1\/6*q**4.\nAnswer: (q - 13)*(q - 2)**2*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/51270 and 31\/2.\nAnswer: 51270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/28)\/((-12)\/(-24))*(-42)\/24\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 - 423*b = 0. What is b?\nAnswer: 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 64.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x\/x**(-6))\/x)\/x*x)\/x**5*x**(2\/55)\/x*x**(-2\/25) assuming x is positive.\nAnswer: x**(263\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 4\/15*g**6 - 3*g + 0*g**3 + 0*g**2 - 3\/10*g**5 - 1\/6*g**4 + 0. Suppose q(i) = 0. Calculate i.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 414500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268 - -271. Solve -l = -27*u + 24*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2*s + 2*s - 3 + 3 + 4*s + (-s - 3*s + 2*s)*(-3 + 2 - 7) - 8*s - 50*s - 20*s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.2, 4, 5, 0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/15))\/q**(1\/5))\/((q*q**(1\/3)*q)\/(q**6\/q)) assuming q is positive.\nAnswer: q**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:12 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 + 20 + 76 = 0. Let u(w) = w**2 - 5*w - 8. Let y be u(7). Sort y, z, 4\/7.\nAnswer: 4\/7, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862380 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 15, -4*r + 2*f + 2 = 0. Suppose -62 = r*o + 61. Does 5 divide o\/(-3) + (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.1. Let d = -13 + -9. Let c = d - -21.7. What is the closest to n in c, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/2)\/((-276)\/368)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdc when four letters picked without replacement from {c: 2, q: 6, z: 1, m: 4, d: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 311924426 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**3 + g**2 + 51*g - 313. Let r be p(5). Which is smaller: 834 or r?\nAnswer: 834","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2111*n - 2053*n + 2 + 628*n + 1027*n - 1357*n to the form p + f*n and give f.\nAnswer: -3866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-32))\/((-1)\/2). Is m at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + t + 4 + 0*t to o + r*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 20. Determine j(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229313450 to the power of 1\/2, to the nearest integer?\nAnswer: 35062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.2 + 34.2. Put a, -1\/10, -2 in ascending order.\nAnswer: a, -2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 - 6*k**3 + 22*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/12 + (-2)\/3. Suppose -7 = -8*j + 1. Let o be 4 + j + x\/2. Solve 2*f - o + 0 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74.85 and 479.1?\nAnswer: -35860.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let p(x) = -56 - 57 - 65 - 50*x + 169. Give p(y(i)).\nAnswer: 50*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/79229885 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5417241, 43337926, 146265505, 346703424, 677155129, 1170124066?\nAnswer: 1858113681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let u(j) be the second derivative of 11*j**3\/2 - 12*j. Give u(a(v)).\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 77 = 4*w. Let l = w + -51\/2. Let m = -27639\/119 + 1625\/7. Which is the second smallest value? (a) -0.2 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 159560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1357 + 1781. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/9*27\/(-54).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544, -546, -548, -550?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1.569\nAnswer: -0.1569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -a - 3*a - 3, -5*c - 3*a + 24 = 0. Suppose o = j + 147, -c*j = -2*j - 3. Let y be -44*o*30\/(-9). What is y rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8388 - -8408. Let t(b) be the second derivative of -13\/3*b**3 + 0 + 13\/6*b**4 + 0*b**2 + g*b. Find the second derivative of t(s) wrt s.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.844 rounded to zero dps?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1173*u**3 - 181*u + 5.\nAnswer: 7038*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55.9399 and 47.\nAnswer: 2629.1753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3550*p - 288 = 3454*p. Let a(c) = -51*c**3 - 2. Let z(o) = 25*o**3 + 1. Determine p*a(y) + 5*z(y).\nAnswer: -28*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*6*(-16)\/(-20). Let q = k + 10. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 17 = -l, -96 = -4*l - g. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 767006340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = -q + 1, 2 = -r + q. What is the nearest to 7 in 1, r, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 8) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1505 divided by -6\nAnswer: 1505\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x + 100. Let u be t(14). Suppose -16*n + 18*n = -u*v + 32, 0 = -5*n + 4*v + 80. What is the remainder when n is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23585 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r**(-6)*r*r*r*r)*r)**(4\/11) assuming r is positive.\nAnswer: r**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4503324 (base 10) in base 8?\nAnswer: -21133434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 85629660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*c*h**2 + 140*b*c + 23560*b - c*h**2 + 33*c - 4*h**2 wrt c.\nAnswer: 2*b*h**2 + 140*b - h**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040535306 rounded to 6 dps?\nAnswer: 0.004054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4 - 16. Suppose d*o = 6*o + 42. Let p = 0 - o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9 - 3. Let d be 5*((-12)\/5 + t). Suppose -d + 1 = -4*h - 2*j, 5 = -4*h + 5*j. Solve 4*o - 5*s - 5 - 20 = h, 4*s = -2*o + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. What are the prime factors of (z\/8)\/((-11)\/(-99))*88?\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 9820?\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 1. Let f = 842 + -843. Let x(i) = 3*i + 2. Let o be x(-2). Let u(d) = -d**3 - 5*d - 2. Let w(z) = f*u(z) + o*c(z). Factor w(h).\nAnswer: (h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2268\/810*(-36)\/7 - (-12 + 1)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 26*j**2 - 3*j + 3. Suppose 0 = 156*i - 478 + 10. Let z(c) = 77*c**2 - 8*c + 8. Calculate i*z(d) - 8*v(d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679.9174 litres to millilitres.\nAnswer: 679917.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 16) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4, 0 = 2*o + u + 13 + 4. Let g(d) = d**2 + 7*d - 13. Let m be g(o). Suppose -b = -m*b. Solve 2*k - 6 = w, -4*k = -b*w + 4*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*b - 6*b. Let w be (-3 - -9)*1\/(-2). Let y be (w\/(-2))\/((-9)\/(-18)). Solve y = b*t - 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjjpppjjj. What is prob of sequence pj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2336 + 2352. Let g(m) = m**2 - 1. Let q be g(-1). Solve -5*k + k - p = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/96 and 113\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 28 = -5*a + 6, 4*s - 16 = 0. Let y(g) = g**3 - 8*g**2 + 9*g - 2. Let f be y(a). Let b = f + 28. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*z - 20, 0*m + z + 11 = m. Let t = m + -7. Which is smaller: t or 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 349*d**5 + 7*d**3 - 365*d - 7. Let w(h) = -175*h**5 - 3*h**3 + 182*h + 3. Let n(x) = 3*r(x) + 7*w(x). Find the second derivative of n(c) wrt c.\nAnswer: -3560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/360 - n**5\/30 - n**4\/8 + 7*n**3\/9 - 10*n**2 + 5. Determine m so that r(m) = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-2 - -8) + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100706005, -201412016, -302118029, -402824044, -503530061?\nAnswer: -604236080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-14) + 64\/14. Let s be 11 - (-3 + u - 3). Suppose -s = -2*j + 47. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6758 and 9701?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -3.4.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -213, -917, -2093, -3741, -5861, -8453, -11517?\n\"Answer: -236*i**2 + 4*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7184, 7185, 7186, 7187?\nAnswer: 7188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13*l = 940. Let w = l + 90. Let b(x) = -6*x**2 - 9*x. Let c(u) = 3*u**2 + 4*u. Determine w*b(p) - 9*c(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + b - 312 = 20*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26243 or -26244?\nAnswer: -26243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 389 + -382. Solve -g = 6*q - 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((-22002)\/(-48) - 0). Let z = 458 + j. Find the common denominator of z and -97\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 70*k - 631. Let b(d) = -23*d + 186. Let p(y) = 13*b(y) + 4*s(y). What is p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 670*o**2 - 670*o**2 - 127*o**3 + (-o**2 - 2*o**2 + 5*o**2)*(2 + 0*o + 5*o - 4*o).\nAnswer: -125*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1151, -1262, -1453, -1724, -2075, -2506, -3017?\n\"Answer: -40*l**2 + 9*l - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(-477))\/((-1)\/(-48))*36\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47149\/11 + 4291. Calculate the common denominator of 61\/2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -15*n**2 - 5*n**2 + 4*n**2 - 19*n**2. Let c(m) = 6*m**2. Give j(c(u)).\nAnswer: -1260*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*g - 745 + 2571 + 2664 = 710 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 34772*s - 139104.\nAnswer: (s - 4)*(s + 34776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 88.12239mm?\nAnswer: 88122.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 46 = -49 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.01 (c) -13.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(17\/6)*f**(-5\/2)*f)\/(((f*f\/f**(-1\/12)*f)\/f*f)\/(f*f\/f**0)) assuming f is positive.\nAnswer: f**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/20 - 3*q**4\/4 + 5*q**3\/2 - 7*q**2\/2 + 5*q + 2. Let f(c) = 0. Calculate c.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y + 14. Let h be x(2). Is h\/(1 - -1) - -2460 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 5*g + 3*g - g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 814*r + 12161. Determine g(-15).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**3 - 31*n**2 + 38*n**2 - 16*n**3 wrt n?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 2, r: 2, u: 1, b: 2, a: 1}. What is prob of sequence ai?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.31 from 5.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-15))\/(441\/3675)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 5, -2\/11 in increasing order.\nAnswer: -2\/11, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 127378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005842258 rounded to 6 decimal places?\nAnswer: 0.000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 29*n + 52. Is 13 a factor of s(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -233081754.3 to the nearest one hundred thousand.\nAnswer: -233100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770 and 40670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 2014*r**2 - 344376*r + 2882880.\nAnswer: 2*(r - 1155)*(r - 8)*(r + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.5. Let m be (-4)\/(-55)*(-165)\/66. Which is the nearest to -3? (a) m (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 4205?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvr when three letters picked without replacement from {v: 3, y: 1, s: 2, h: 2, r: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -u + 6*f - 10*f, 0 = u - 5*f + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:42 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/5)\/b**(1\/6)*b**(-5)*b\/b**(2\/11) assuming b is positive.\nAnswer: b**(-1369\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-25700)\/1070 - 1311\/57.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 3. Give a(9).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 131d?\nAnswer: 131b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(0 - 4)*1. Let q(b) be the first derivative of -3\/7*b**2 + 4\/7*b - k + 2\/21*b**3. Factor q(t).\nAnswer: 2*(t - 2)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -5*l - 40*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/4)\/(259\/518). Let t be (-10)\/3*36\/(-15). Solve 3*a - 2 = -2*h, 2*h - 3*h = p*a - t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54213 - 1022530?\nAnswer: -1121143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28468*a**5*r**3 - 30*a**5*r - 30*a*r**3 + 37*a*r + 2856*a wrt a?\nAnswer: 569360*a**3*r**3 - 600*a**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**6))\/n**(-4\/5)*(n\/(n*n*n*n\/((n\/n**(-1\/4))\/n)))**(-1\/10))**30 assuming n is positive.\nAnswer: n**(849\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*c + 63 = 2*c, -i + 12 = c. Suppose -3*o = -42 - i. What is the remainder when o is divided by ((-21)\/(-2))\/(-3)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 5 + -3 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 7 (b) -2 (c) 0.07 (d) -1.433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19252 is divided by 6383?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 2175.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:49 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 (base 6) in base 5?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 0*r - 4*r)*(2*r - 5*r + 5*r)*(-15 + 6 + 5)*(1 + 1 + 7) to d + i*r + z*r**2 and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let x(c) = -3*c + 7. Let k be x(t). Let y(l) = -4*l**3 + 5*l. Let f(h) = -3*h**3 + 4*h. Determine k*f(m) + 4*y(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142183 + 142185. Find h, given that 2\/3*h**3 + 32\/3*h + 34\/3*h**d + 0 = 0.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-18)*39\/(-65).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 117.\nAnswer: -6, -4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/((-4)\/2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 - -217. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*z - z - 9, 3*z + 6 = 5*p. Suppose g - p = 5. Suppose -290 - 294 = -g*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:44 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.03013077 rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/(2\/(-200)). Let d = 39 + m. Suppose -5*s = -v + 58, 0 = 5*s - 0*s + 5*v + 70. Is s at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 842*v + 4*v**2 + 725*v - 211*v**3 + 2*v**4 + 3835*v - 2133*v + 8167*v wrt v.\nAnswer: 24*v**2 - 1266*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34042 = -u + 5*p, -3*u = 2*p - 84680 - 17446. Let w = -23151 + u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 434442174?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303 + 307. What is the derivative of -5*a**4 - 37*a**z - 22 - 27 - 66*a**4 wrt a?\nAnswer: -432*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.459 - 0.041. Let u = -15.2 - h. Which is the nearest to u? (a) 3 (b) -2\/3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -10.\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -591.75 + 592. Let k = 28 - 28. Sort k, c, 5 in decreasing order.\nAnswer: 5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/2 - 4179*o - 8355\/2 = 0 for o.\nAnswer: -2785, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6792*m**2 + 257*m + 5 wrt m.\nAnswer: -13584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801717432608*z - 801717432608*z - 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10 and (-55)\/(-12) - (2 + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1170 = -3*s - 830, 2*s = 4*d - 8030. What is the greatest common factor of d and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5069045*i**2 + 6625373 wrt i.\nAnswer: 10138090*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2503, 10075, 22681, 40309, 62947?\n\"Answer: -2*x**3 + 2529*x**2 - x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 2160 = -305*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:38 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l - 2*d + 22, 0 = 2*l - 2*d - 6. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q + 8. Let b = 326 + -318. Let v(u) = 9*u + 5. Let y(z) = -z**2 - 10*z + 39. Let i be y(-12). Suppose 5*p + i = 2*p. Calculate b*v(s) + p*f(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15133 - 152?\nAnswer: -15325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:55 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7152600 divided by 655?\nAnswer: -10920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18859 - 17171. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:57 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1\/4, 3, 8, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115227 and 60543.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.151? (a) -0.2 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n\/(((n*n\/(n**(1\/7)*n))\/n)\/n*n*n*n*n)*n)\/n)*n**(2\/3)*((n*n\/(n\/n**(-3)))\/n)\/(n*n\/(n*n\/(n**7\/n))) assuming n is positive.\nAnswer: n**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*w = 275*w - 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129518993 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from xlaxhafaavax?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 318 + -17?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-10)*-5*11 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 2*w. Suppose w = -10*x + 207 - 7. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 459760394 a multiple of 4931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/2 - 14*h. Let b(x) = x**2 + 5 - 5. Give z(b(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-127 + 122 - (-4 - -1 - 10)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-42))\/((-3)\/9). Let z = -67 - -66.9. Let r = -0.357 - -1.357. Sort h, r, z in ascending order.\nAnswer: z, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -744 by -13018.\nAnswer: 372\/6509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -18*(1 - 0). Suppose -y = 3*y - 44. Let q = c - y. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*n + 92, 2*l + 292 = 6*l - n. Calculate the remainder when l is divided by 50\/(3 + 2 - 3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843 = -19*y + 22*y. Let q = y + -193. Calculate the least common multiple of 10 and q.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.79 - -4.79. Let f = 3 - -3. Let v = 35\/2 - 17. Which is the closest to -1? (a) x (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (33 - 33) + 0 + 62 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 387, 379, 371?\n\"Answer: -8*f + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/20)\/(((-147)\/28)\/(-7)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27102785*j**3 + 4*j**2 + 2377*j + 13.\nAnswer: -162616710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202001 (base 6) to base 15.\nAnswer: -4b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u**4 + 37*u.\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*x + 3*r, -4*x + 10 + 18 = 4*r. Suppose 6*t + 70 = x*t. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 6*g + 7. Suppose -4*o - 64 = 5*z - 174, -o + z = -23. Suppose 10 = -2*q - 4*m, -o = -2*q - 0*q + 3*m. What is s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 7*g = -564. What are the prime factors of g?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -1.8. Let u = y - -0.3. Which is the biggest value? (a) 3\/5 (b) 5\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 - -2.2. Let w = 6 - 1. Suppose -3*l - w = 2*l. Which is the closest to -1\/4? (a) l (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -6.4, -0.4, 0, -3 in increasing order.\nAnswer: -6.4, -3, -2\/3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 2, i: 1, d: 1, o: 1, g: 1}. Give prob of sequence mad.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/638 and 61\/308.\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 113 = 4*h + 28. Let c be 4 + ((-6)\/(-3) - 4). Let t(k) = 3 - 3*k + c*k + 2 + 0*k. Let j(x) = x - 9. Give h*j(l) + 5*t(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-35) - (-246)\/21. What is the highest common factor of 36 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/22, 0.3, -2\/13?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72611 is divided by 116.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11012659.9 to the nearest 10000.\nAnswer: -11010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let m be 0\/(-2) - -2*4\/(-2). Sort 3, 0, m, z in increasing order.\nAnswer: m, 0, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25231677 at most -25231681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -150315.703835399?\nAnswer: 150316.103835399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2079\/(-117) + 18 + (-3100)\/26 + -2 + -3.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/997?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 22793 = 2*k + 509. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961416 less than or equal to 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*v + 1804, 2*p + 5*v = 914 + 23. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-64)\/(-2160) + 46\/18. Solve -5*m = 5*u - 2*m + 9, 0 = 2*u + k*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -23411 (c) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(-3))*s*s*s)\/(s**(1\/11)*s)*s**8*s*s*(((s**4\/s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 519301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/14))\/w)\/((((w\/w**8)\/w)\/w)\/w*w) assuming w is positive.\nAnswer: w**(129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 542284454 to the nearest one million.\nAnswer: 542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(0 - k + 0) + (-4 - 3 + 5)*(3*k - 3*k + k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -117 - -143 - (-18 + -1 + -2)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098157 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1398*k - 374568 + 374568 to the form u + b*k and give b.\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10556.3 + 10553.3. Suppose 3*i = i - 4. Sort -1\/4, -0.5, i, o in descending order.\nAnswer: -1\/4, -0.5, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11152363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/3 + b**2\/2 + 4*b + 1. Suppose -24 = 3*g - 36. Let k(a) = 2*a - 5*a + 2*a**2 + 12 - 5 + g*a. Give -5*f(p) + 3*k(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6.972. Let a = 0 - t. Let g = a + -1.282. What is g rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = 6*w. Suppose -5*t + 22 = a, -16 = -2*a - 5*t + 2*t. Suppose 0*f + 24 = f - a*d, w*f - 96 = -3*d. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/27 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**10*v\/(v*v\/(v\/v**(2\/85)))*v\/v**(-2\/9) assuming v is positive.\nAnswer: v**(-29683\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9634038 to 3 dps.\nAnswer: -7.963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11035 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 1 + 20 + -18\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 952 and 3\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**6 + 28006*u**5 - 2802*u**2 - u - 1?\nAnswer: 480*u**3 + 1680360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and -19\/617271.\nAnswer: 6172710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 20 = -32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*t + v, -3*t + 5*v = 1 + 8. Suppose -y + 3*i + 25 = 0, 4*y - 55 = -i - t*i. Calculate the remainder when 30 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237\/62 + -10\/31. Let z = 17 + 6. Let m = z - 18. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001383818007 rounded to seven dps?\nAnswer: -0.0013838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + 66. Let h(m) = m**2 - m - 3. Calculate -2*h(u) + o(u).\nAnswer: 3*u**2 + 2*u + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 8, 2*w + 3 = -2*k - 1. Suppose -3*r + 4 = -w*t, -2*r + 5*r + t = -2. Which is bigger: r or -1\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19384)\/(-14))\/((-215)\/(-1505))?\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00100118 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/15 - 1\/5. Let j = 6 - i. Sort -3, j, -4.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 11*x**2 - 9*x**2 in the form t*x + n*x**2 + c and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 99 = -10*f + 2*a, 0 = -f - 3*a - 12. Let u(j) = -3*j. Let n be ((-12)\/2 + 0)\/(-1) + 0. Let k(h) = -h. What is f*k(l) + n*u(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 130 = g - o, 8 = 4*o. Suppose -g = -y - 5*k, -k = 4*y - 6*k - 126. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 117*b - 18. What is the hundreds digit of d(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179\/5 + -36. Let y = 159773\/14 + -11422. Let u = -19\/2 - y. Sort a, u, 3\/5 in ascending order.\nAnswer: a, u, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129914111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-224)\/(-24))\/(2\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s**4 + 4\/3 - 2\/3*s**3 + 4\/3*s - s**2.\nAnswer: (s - 2)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 8. Suppose -6*p - 2 = -p + 4*k, -2*p + 5*k = -19. Let w be g\/(-4) - p\/4. Solve -a + 5*a = w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 21 - (0 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 20*u = 24 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*g + 79*g - 49. Let h = -49 - g. Suppose -2*o = -0*o + 2. What is the nearest to 4 in h, o, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -m - 4, 5*m - 98*p = -97*p - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36)\/2*-6*4\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - l**3 - 9*l**3 + 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (431\/49565)\/(170\/100)\nAnswer: 2\/391","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -464, -1612, -3856, -7562, -13096?\n\"Answer: -61*c**3 + c**2 + 6*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 3, m: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1848*k + 169 = 43*d - 1836*k - 352, -5*d - 4*k + 71 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*k - 20, 75*r + k = 80*r - 104. Calculate the remainder when 146 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(60)\/sqrt(3))*-4)\/(-6*sqrt(16)\/sqrt(4)) + (sqrt(7260)*-2 - sqrt(7260))\/(sqrt(12)*-2*3).\nAnswer: 41*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 47*j - 33. What is z(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279 - 138 - 132*y + 448*y - 141 to r*y + h and give r.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -12) + 11 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:24 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -396 - -202. Let g = 314 + o. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - z - z, -6 = -y - z. Solve -i - 5 = -s, -y*i - 2*i - 5*s = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i - 693 = 36*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785331297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 57*t**2 + 64*t - 333. Let h be f(58). Solve -36*j = -h*j - 84 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -134. What is the second derivative of 18*u**2 - q*u**2 + 21*u**2 - 14*u wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 49677\/653?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (31 - 4) + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3183 - -3185. Is -17\/10 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 354\/8 + 9\/(-36). Let z = -59 + 18. Let n = z + c. Solve 2 = -3*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from qqqrqhhh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -8, 7, -3, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 - 3*a**3 - 4*a**3)*(-2*a + 2*a + 2*a) + (-5*a**2 + 3*a**2 + 0*a**2)*(-14*a**2 + 34*a**2 + 10*a**2).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.704095l in millilitres?\nAnswer: 8704.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(5200) + 1 + -1 + -6*(sqrt(5200)*-1 + sqrt(5200)) + 0 + sqrt(5200) + 0 + 3)**2.\nAnswer: 480*sqrt(13) + 20836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-2)\/((-2)\/1). Let u = 4 + 4. Suppose f + 0*f - u = l. Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35388805.\nAnswer: 5, 7077761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133.848, -17, 4 in decreasing order.\nAnswer: 133.848, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.776 - -0.224. Let j = t + -58. Let d = 36 - j. Which is the nearest to d? (a) -0.1 (b) -0.5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62841 + -137?\nAnswer: -62978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-6))\/(180*51\/5508).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.029.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 + 2*s - 3. Let g be u(-3). Solve g = -4*j - j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50d5c - -e?\nAnswer: 50d6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/3 + 982*d**3 + 27954*d**2 + 158894*d\/3 + 25992 = 0.\nAnswer: -1444, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*d - 2 = -2*f + 425*d, -17 = -5*f - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -3, 0 in ascending order.\nAnswer: -4, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 433 + -15305?\nAnswer: -14432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45688581?\nAnswer: 3, 5076509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 1, m: 3, i: 1}. Give prob of sequence mx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*c**3 + 3\/2*c**2 - 10\/3 + 2*c.\nAnswer: -(c - 10)*(c - 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -46, -89, -154, -247, -374, -541, -754?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-12 - -8) + (-1 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 3 - 11)*(5*x - x - 2*x) + 0*x + x + 0*x + (2 - 2 - 2*x)*(-5 + 4 - 1) + x - x + x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -88. Suppose x*j = 6825416 - 881816. Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-6*(-15)\/(-180)*(-20)\/55.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k**2 + k**2)*(18*k - 10 + 10) - k**2 + k**3 + k**2.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1179 and 115673?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, 3, 2\/5, -56?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)\/t**(-8)*(t*t**(-3\/5)\/t*t*t*t*t)**38 assuming t is positive.\nAnswer: t**(2729\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3602*l - 82867. What is m(23)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 + 4)*2\/4. Let l be 0 - j - (-4)\/(-1). Suppose -4*z - 4*r - 15 = z, 5*z + r = l. Solve -z = 3*x - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:17 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 3\/7, -3450.4 in descending order.\nAnswer: 3\/7, 2\/7, -3450.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**7\/14 + m**6\/10 + 3*m**5\/10 - m**4\/2 - m**3\/2 + 3*m**2\/2 - 7*m. Factor g(y).\nAnswer: -3*(y - 1)**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 p when four letters picked without replacement from {p: 3, k: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 + 144*v + 2592 = 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664 less than -6611419?\nAnswer: -6613083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:02 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448910\/475*(-5)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 7*b + 3*b = -18, -2*f - 5*b + 14 = 0. Let w(z) = -7*z**2 - 5*z**3 - 3 + 0*z**f + 8*z + 4*z**3 + 2 - 4. Calculate w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + z - 4 + (7*z - 3*z - 2*z)*(4 - 4 + 2) - 11 + 13 - 30 + z)*(-31 - 31 - 52).\nAnswer: -684*z + 3192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.7 - 8. Let j = -351 - -348. Sort 2, j, w, 2\/7.\nAnswer: j, w, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57336 and 400?\nAnswer: 2866800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - -55. Let r = 10515670734.00000138 - 10515670891. Let x = r + q. Round x to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/565?\nAnswer: -1\/565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24045, -52698, -81349, -109998, -138645, -167290, -195933?\nAnswer: -224574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -1, 2\/67, -3, 0.1, -1172?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -100 + -1 + 18 + -12 - 13\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344483, 1377775, 3099927, 5510939, 8610811?\nAnswer: 12399543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*a + 19 = 0, a = p + 3*a + 5. Let l be p\/(-6)*(-6)\/9. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 157747?\nAnswer: -157746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkk when three letters picked without replacement from qkkkq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 718149967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -2*15\/6. Suppose -3*b + 27 = 3*d + 2*b, m*b + 18 = 2*d. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22146.02 millimeters in kilometers?\nAnswer: 0.02214602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 13*g = -v + 6070, -3*v = 2*g - 18218. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(0*l - l + 0*l)*(2 - 2 + 1) - 2*l + 0*l - l + 2 - 2 - 2*l + (2 - 1 - 2)*(-3*l + 11*l - l) + 2*l + 2 - 2 + (0 + 0 - 3)*(-4*l + 4*l - 3*l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p**5\/3 - 16*p**4 - 40*p**3\/3 + 124*p**2\/3 + 42*p + 20\/3 = 0.\nAnswer: -1, -1\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 3*c**4 - c**4 + ((-2*c + 6*c - 2*c)*(2*c - 3*c + 3*c) - 2*c**2 + 3*c**2 + 3*c**2)*(0*c**2 + c**2 + 0*c**2).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m + 49*m - 18*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + -9 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3583*l - 11*f = -3580*l + 1, -2*l + 5*f + 24 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-38790)\/(-990) + -1 + 9\/11 and 66?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -315, -2, 0 in descending order.\nAnswer: 0, -2, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -613292.94600116 + 613293. Let o = -0.054 + q. Round o to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694676423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*p**3*x**2 - p**3*z - 149*p**3 - p**2 + 51*x**2*z - x*z wrt x.\nAnswer: -6*p**3*x + 102*x*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -4*u. Suppose -u*n + 5*n - 416 = -3*c, -2*n - 3*c + 817 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nikiistisk. Give prob of picking 4 i.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 170063\/2 and 85031 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2493808.8 from 1761611.9.\nAnswer: 4255420.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -13*q**6\/24 + q**5\/30 + q**4\/4 + q**3\/2 + 21*q**2 - 4. Find the second derivative of d(l) wrt l.\nAnswer: -390*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/11))**(-25)*(r*r**(6\/5))\/(r*(r\/r**(-3\/7))\/r))**49 assuming r is positive.\nAnswer: r**(14329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-6)\/18*63\/112)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/(-180) - (-765)\/(-70)) + 2\/(-8)?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + 10. Calculate t(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/2 + 14007*l**3\/2 - 21*l**2\/2 - 98031*l\/2 + 42021 = 0. Calculate l.\nAnswer: -4669, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/12*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 36. Let o(y) = -2*y**2. Calculate w(o(x)).\nAnswer: -2*x**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13995 - -13998. Solve 2*r = -w*s - 9 - 1, -r + 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - -2.3. Let q = 21.9268 + -21.9. Let l = -0.0268 + q. Put 0.01, 5, l, m in decreasing order.\nAnswer: 5, m, 0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(143)*3*6)\/((sqrt(275) - (sqrt(275) + sqrt(275)*2)) + (sqrt(1331) - (sqrt(1331) + (sqrt(1331)*-1 - sqrt(1331)) + sqrt(1331)))).\nAnswer: -4 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-12))\/((-3)\/(-2))*(-1916)\/(-24429)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8) - (-10)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -13\/24*h**4 + 0*h**3 + 41*h**2 + 0 + 0*h. Let s(x) = x**2. Give k(s(q)).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = l, 4*m - 7 = 2*l + 3*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjzjjhqjqjqz. What is prob of sequence zjh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5570 bigger than -5570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 3*k**2 + 2*k + 1. Suppose -4*p = 4*q, 0*q - 6 = p - 2*q. Let l be o(p). Let h(f) = -3*f**2 + f - 1. Determine h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {u: 8, i: 5, s: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15376 is divided by 176 + (-477)\/33 + 8 + (-18)\/33?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -37. Calculate the lowest common multiple of m and (-38 + -2)\/((-55)\/15 - -3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.2 - 0.8. Let l = h - -8. Let j be 13\/(-130)*(3 + -2 - -3). What is the closest to j in l, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*b + 163 + 337 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a**2. Let l(c) = -9*c**2 + 6*c**2 - 4*c**2. Let y(g) = 5*f(g) + 12*l(g). Let s(k) = -15*k**2. Determine y(s(u)).\nAnswer: 1350*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24731388482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t)**(20\/9)\/((t*t*t**(-4\/7)*t)\/(t\/t**5)) assuming t is positive.\nAnswer: t**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**4 + 7*t**3 - 16*t + 7*t**4 + 18*t + 3*t**4 to the form f*t**4 + i*t**2 + a + n*t + s*t**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/212 and -91\/72.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10\/((4 + 1)\/30)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1292 = -4*s, 2*s + 42*t - 43*t = 644. Let u = -125 + s. List the prime factors of u.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32486 to 3 dps.\nAnswer: -0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + j - 10, -i = -4*j - 13 - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-2629859.\nAnswer: -2366873.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502\/11 bigger than 227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201042 + -41603. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/9*(-78)\/(-4). Suppose 2*x = -3*j, -3*x + 0*j + 2*j = -t. Suppose -2*n = -x*n + 8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9445*x + 6839*x = 151148 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550087686?\nAnswer: 2, 3, 3395603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/2 - 14*z**2 + z\/2 + 14 = 0. What is z?\nAnswer: -28, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -o - 2*o. What is the remainder when o is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.01, 5, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 11*b - 7. Let g be d(5). What is the greatest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*j - 60166 - 5522. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 8*k**2 - 5*k + 29. Calculate t(10).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3610500.900054 + -3610506. Let m = 5.1 + d. Round m to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*z - 13, -6*n + 25 = 5*z - 5*n. Solve -5*i + 0*i = h + 22, 0 = -z*i + 4*h - 32 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*p = -3*p - 9, 3*r + 3*p = -9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = 2*h - 6, 2*h = -3*o + 2. What is the units digit of ((-4)\/o - 2) + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abb when three letters picked without replacement from {a: 5, b: 5, k: 4}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, 0, -1, -18, -57, -124, -225?\n\"Answer: -s**3 + s**2 + 13*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(75))**2 - (sqrt(75) - (sqrt(75) + sqrt(75)*-1 + 1)**2)) + 3 - (1 + (-2*(sqrt(75) + -1*(sqrt(75) + 0) + sqrt(75)))**2).\nAnswer: -222 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -26800.743.\nAnswer: 2680.0743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1740319.\nAnswer: -1740319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*h - 3*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 10367208204.\nAnswer: 10367208200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5680 - -9238. List the prime factors of u.\nAnswer: 2, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - ((-89 - -82) + (9 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 17.685. Let o = -22.6 + 23.51. Let w = o - n. Round w to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/119 + (-87)\/42?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 23 - 14 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 2*s. Suppose 362 = -4*q + s*q. List the prime factors of q.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686986.\nAnswer: 2, 7, 41, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Let a(c) = 2*c + 1. Let q(d) = -4*d - 7. Let o(f) = 6*a(f) + 2*q(f). List the prime factors of o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 816 (c) 2\/7 (d) -0.8 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1751, -0.03?\nAnswer: 1751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 2*n + 4 + 75 - 81 + 53*n**4 to the form h*n**3 + q*n + f + j*n**4 + x*n**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from qmqjmmqmjmjqjm.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4637440 is divided by 417.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (24 - (49 - 76))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) -2\/45 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -10.32.\nAnswer: -6.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2500 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-68) - (-2)\/8. Let h = -997 - -1000. Sort x, 0, h in decreasing order.\nAnswer: h, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from whwhuuuukywu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*x**3 - x + 6*x**2 - 6*x**2 - 945*x**3 - 1397*x**3.\nAnswer: -3709*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-8)*w*w)\/w*w*w**6)**(-2\/63)*((w**(-4)*w*w)\/((w**9*w)\/w))**42 assuming w is positive.\nAnswer: w**(-29108\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(704) + sqrt(704))**2 + (sqrt(11) - sqrt(275))**2*-4.\nAnswer: 64*sqrt(11) + 2116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3128 + 783\/3128. Let o be 4 + 0\/(-2 - -3). What is the nearest to -2\/3 in n, 0.3, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Let s = -63 + 67.7. Let v = y - s. Put 3\/5, v, -5 in descending order.\nAnswer: 3\/5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 7 - 4*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h + 366. Let z be c(-22). Let x(g) be the first derivative of -6*g**2 - 22*g - 1. Is x(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1452, 3104, 4756, 6408, 8060?\n\"Answer: 1652*n - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:21 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 4*i + 24. Let h be a(-11). Let l = h - 65. Let j = 47 + l. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 477250000 = 38*s. What is s rounded to the nearest one hundred thousand?\nAnswer: 20800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**3 - 3*m - 1. Let y = -51 - -53. Let k be l(y). Let d = 67 - k. Solve d*b - 7 - 1 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:12 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -29*h + 5. Let o be p(1). Let t = o - -169. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*m - 163*m - 111*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5, 1 in descending order.\nAnswer: 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13698507352816027\/140400 - 97567716187. Let j = c - 1\/5200. Calculate the common denominator of j and -13\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14. Suppose -8*n + 4*n = i. Solve n*x + 8 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 26288*t + 43191184 = 0. What is t?\nAnswer: -3286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 - n**3\/3 - n**2 - n. Let l be k(3). Let s be 0\/((-45)\/(-42) + 33\/(-462)). Solve -l = r - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -414, -408, -386, -342, -270?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-20) + (-162)\/(-10). Let y be (-12)\/18 + r\/6. Factor y - o - o**2 - 2.\nAnswer: -o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9109*f - 11322*f + 35.\nAnswer: -20431*f + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633828477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 6*t**3 + 0*t**3 + t**3 + 3*t**3 - 3*t**3 + (-t - 2*t + t)*(-5*t**2 + 6*t**2 - 3*t**2))*(-3 + 2 + 3).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7756*p + 300999 + 66851 = -601650 for p.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13622 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2527749?\nAnswer: 3, 7, 40123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16 - 168*a - 153*a + 331*a + 2*a**2 + 2*a**2. Let z(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 5*b - 4. What is -2*s(g) + 7*z(g)?\nAnswer: -g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a956 - -1dd8?\nAnswer: c950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + 2*sqrt(242) + -2) - (sqrt(242) + sqrt(242) + 1 + -2))*-4)**2.\nAnswer: -4224*sqrt(2) + 62096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/15608576 and 103\/11706432.\nAnswer: 46825728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.9. Which is the second biggest value? (a) 2 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/40)\/((-6)\/(-20)). Let m(t) = -t**3 + 5*t**2 + 5*t + 7. Let w be m(u). Let s be (-9)\/(-6)*(3 + -1). Put s, w, -1 in ascending order.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from uuww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12 = -0*u. Suppose -5*g - u*a + 1195 = -6*a, -5*g - a + 1170 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 421, 145, -2\/69 in decreasing order.\nAnswer: 421, 145, 13, -2\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/390)\/((-9)\/30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11\/4)\/s**(-8))\/(s\/(s**(-1\/40)\/s))**(2\/67) assuming s is positive.\nAnswer: s**(3477\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 12, 30, 56, 90?\n\"Answer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412681185 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580640?\nAnswer: 2, 5, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -38, -4, 2\/237, 2?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 10, u: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93744 - 263608225\/2812. Calculate the common denominator of -121\/12 and d.\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.248853 and 0.4.\nAnswer: 0.648853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 471520*k**2 - 72.\nAnswer: 471520*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*g**5 - 76*g**4 + 931*g**3\/2 + 6073*g**2\/2 + 4620*g + 882 = 0. What is g?\nAnswer: -7\/2, -3, -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 10. Let m be 3 + 1*(-5 + 3). Let l = 6 + m. Is k(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19082.0045 - -19071. Let o = 10.79 + 0.21. Let h = o + z. Round h to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1282 + 1283. Which is the closest to z? (a) 0.1 (b) 0 (c) -0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2760 divided by 6\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124201856 and 35136?\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-9 - -7) - -14 - (3 - -45)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 5*k**2\/2 - 9*k + 2. Suppose g + g = -12. Let f(d) = 0 - 12 - 13 + 14 + 11*d - 8. Give g*f(q) + 13*m(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 612000*c + 3766399 wrt c?\nAnswer: 612000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddrddddr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62\/7 - -1564\/175. Let r(y) be the first derivative of -1\/10*y**4 + 0*y + 2\/15*y**3 - 1 + 1\/5*y**2 - c*y**5. Factor r(p).\nAnswer: -2*p*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-3670)\/8)*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 14*o**2 - 8*o - 63. What is y(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*g + 17, -821 = 4*h + 4*g - 813 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 37*s - 4*f = 8, 2*s + 20 = f. Let b(q) = q**3 + 8*q**2 - 2*q - 7. Calculate b(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8825 - -16585. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*s - 8*o, -1180*s - 105 = -1190*s + 3*o for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 19 = 3*g. Let x = g + -1. Let k = 13 - x. Sort 0, k, 1 in increasing order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34270 - 5758 = -8*v. Let r = -1933 - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13717466 (base 8) to base 7\nAnswer: 35345660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 226890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -4 + 12 + -13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2605862.9342 - -2606139. Let k = z + -276. Round k to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:17 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (290\/(-48))\/((-6)\/(-8)) and -61\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 - 1. Let g = 12 - 8. Let y(m) = -3*m + 8*m - g*m. Give t(y(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1935, -1934, -1933, -1932?\nAnswer: -1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 56 + 118)*(4*b**3 - b**3 + 0*b**3) + (-3 + 3*b**2 + 3)*(-b - 2 - b + b).\nAnswer: 123*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6 - (-13)\/78*6. Suppose -4*z = 22 - 2. What is the smallest value in 0.1, 1, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*((d\/(d*(d\/(d\/((d**(-1\/18)*d*d)\/d)))\/d*d*d))\/d*d)\/d*d)\/d**(-5))\/(d*d**9*d*d**(4\/3)) assuming d is positive.\nAnswer: d**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21323*g + 581 = -21406*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 62, 94, 126, 158?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 11*j**4\/4 - j**3\/3 + j**2\/2 - 12*j + 9. Let k(s) be the first derivative of c(s). List the prime factors of k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118541060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*s - 44 = -2*s, -v + 32 = -4*s. Suppose -v*x**2 - 6*x**4 - 18*x**4 + 69*x**3 + 12*x - 13*x**5 + 17*x**5 - 21*x**3 = 0. What is x?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/95 + (-8 - (-462)\/57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -32, 0.3, 12, 45.\nAnswer: -32, 0.3, 12, 45, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*h + 115*h - 5*h**2 + 114*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/208 + -427\/2288. Do a and -25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5567995 + 317*z + 5567997 + 2936*z to the form c + l*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 270*r**2 + 4*r. Let s(g) = 2*g**3 + 268*g**2 + 3*g. What is 3*o(v) - 4*s(v)?\nAnswer: v**3 - 262*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -15. Solve 2*m = 4*q + q + f, 0 = -3*q - m + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, 2 in ascending order.\nAnswer: -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3)*2 + 4. Solve -2*w + 16 = k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 36499 = 14*h. What is the greatest common divisor of 113 and h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Solve -2*d + 4 - u = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 156126 (b) -6\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 4, u: 1, w: 2, p: 1}. Give prob of sequence rpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 144*a**7\/7 - a**6\/6 - 31*a**3 + 2*a**2 + 524. What is the third derivative of y(h) wrt h?\nAnswer: 17280*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 1 + 6 + -10 + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4774326314 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2. Suppose 4*t + n = 4, -3*t + 3 + 0 = -3*n. Let r(c) = c**2. Give t*l(b) - 4*r(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010742 rounded to seven decimal places?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44533248 divided by -5566656.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -7 (b) -2 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from {k: 1, u: 2, w: 7, m: 3, n: 4}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -433, -404, -361, -298, -209?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -594*l - 20. Is o(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, i: 2, o: 2, l: 8}. Give prob of picking 2 j and 2 i.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/384 and -97\/48.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (sqrt(57)\/sqrt(3) - sqrt(19)) + (2*sqrt(228))\/sqrt(3) + 4.\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 40, 34, 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21346 (base 8) to base 3\nAnswer: 110020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0) + 12\/9. Let l be (-2)\/11 + 16\/(-154). Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4592, -4555, -4518, -4481?\n\"Answer: 37*p - 4629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b076e8 + 0?\nAnswer: -1b076e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8852 - -12984. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(425)*-2).\nAnswer: -10 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161346 + -86320309\/535. Let g = x + -3\/107. Let q = -115\/2 + 57. Which is the biggest value? (a) g (b) -1\/6 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = p - 2*k - 124, 0 = -2*p + 5*k + 257. Suppose 4*z = -s + 71, 4*s - 134 - p = -2*z. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 0*i + i + 8*i**2 + (-9 - 1 + 1)*(-41*i + 41*i + 3*i**2).\nAnswer: -23*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**3 + 35*k**2 - 16*k**2 - 18*k**2 as v*k**2 + o*k**3 + y + w*k and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2643954.\nAnswer: -5\/2643954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2591190?\nAnswer: 2, 3, 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 2*w - 4. Let d be (8\/6)\/((-4)\/(-6)). Suppose 0 = d*p + 5*u - 22, 4*p - 3*u + 2*u = 0. Let g(s) = 14*s - 15*s + 0 - p. What is -f(k) + 2*g(k)?\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d - 58. Let q be t(9). What is the tens digit of (1252\/6)\/(q + 25\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2 - 11*p - 7140. Let v(i) = -3*i - 12. What is -7*o(a) + 6*v(a)?\nAnswer: -4*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(6 - (-63)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 794*a + 1941*a - 579*a - 559*a.\nAnswer: 7*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/((-1575)\/1260)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = 3*g + 32*c + 9, 4*g + 15 = 5*c. Suppose -7*d + 24*d - 238 = g. Let v = 43 - 27. What is the smallest common multiple of v and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - 19.27. What is q rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - (-122)\/(-5 - -3))\/(-1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88050\/943 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003193 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.9 - 43. Which is the biggest value? (a) 13 (b) z (c) -0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**3 + 4*a**2 + 75*a + 4. Let d(p) = -13*p**3 - 9*p**2 - 150*p - 9. Give -4*d(n) - 9*k(n).\nAnswer: -2*n**3 - 75*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/12 - m**3\/2 - 2*m**2 - 268*m + 9. Let d(a) = -3*a**2 + 7*a + 7. Give -3*d(o) - 5*p(o).\nAnswer: 4*o**2 - 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 810.64 + -90019282.\nAnswer: -90018471.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4181 and 187368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.389 and -1.47.\nAnswer: -1.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51, -50, -63, -96, -155, -246, -375, -548?\n\"Answer: -x**3 - x**2 + 11*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w + 96 = 93*w. Solve 0 = w*v - 21*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23558*j**2 + 70668*j**2 - 23554*j**2 - 23564*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2430954 = 2430954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-54)\/28 - -2)*-18. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9218792 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1041, 131, -2683, -7401?\nAnswer: -14023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (496\/(-186))\/((-3)\/(-9)*6\/3). Put -126, -13, o in decreasing order.\nAnswer: o, -13, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvvvvvvvvrrvv?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/7 (b) 1 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7257 by -123.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgfw when four letters picked without replacement from {e: 1, g: 2, f: 1, w: 4, h: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (88\/22)\/((-13)\/3 + 3). Let m(d) = 20*d - 1. Calculate m(s).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*f*g - 3*f*h + 104*f - 14550260*g*h + 25*g - 100 wrt h.\nAnswer: -3*f - 14550260*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29818213603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1595 divide 14088635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -48.71.\nAnswer: -243.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)\/((-12)\/32). Suppose -t*g + 10 = -3*g. What is the third derivative of 58*l**g - 24*l**6 - 30*l**2 - 30*l**2 wrt l?\nAnswer: -2880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010011100 + 11010?\nAnswer: -100010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10 + t**3 + 1 - 2 - 8*t**2 + 2*t. Suppose -3*w = 3*k - 24, -32 = -5*w + w + 2*k. What is the units digit of h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768 divided by 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -3221125?\nAnswer: 22\/3221125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/4560*(-550)\/(-55).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 3}. What is prob of picking 1 q and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:34 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1df97 (base 16) to base 10\nAnswer: 122775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + h = -4*h + 2619, -2628 = 4*z + 4*h. Let y = 4 - -1. What is the remainder when y is divided by (-4)\/26 - z\/208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-21) - (-52)\/14. Suppose 0 = -3*q + f*y + 10, -8*q + 3*q + 6 = 4*y. Suppose 7*g = q*g + 75. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 34*p + 59*p - 6*p**2 - 26*p + 2 in the form f*p**2 + k*p + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1185 - 1178. Solve o - 6 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-45)\/1760) + ((-1)\/(-3))\/((-315)\/(-1260)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17515 - 0.07515. What is the closest to -0.1 in -3, 0.05, h?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 7*d - 32 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 5 + 19 - 53 - (1 - 8 - 1)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3077*l - 615439. Calculate b(-200).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 231.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/47338 or 1?\nAnswer: -49\/47338","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 + (0 - 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/2747? (a) 1\/10 (b) -0.011 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-5)\/(-2))*-2. Let p(x) = -5 - 4*x - 7 - 8*x**2 - 4*x**v - 2*x**3 + 5*x**3. Is p(-8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - -12. Suppose 13*m - m = f. Solve 3*o + l - 10 = 0, m*l + 22 = 4*o - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-21872 + (7 - 11)) - 5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -1*sqrt(180))*2)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.8 and 6284.28.\nAnswer: 6291.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 9. Let x be i(-4). Which is bigger: -4 or x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 2. Let y be c(-5). Let b be y\/(-12) + 2\/8. Suppose -5*l + 104 + 81 = b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-7)*s)\/s)\/(s**11\/s))**(3\/5)*(s\/s**(-2))\/s*s*s\/s**1*(s**(-2)*s)\/((s\/(s**(2\/9)\/s))\/s) assuming s is positive.\nAnswer: s**(-404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275814949?\nAnswer: 193, 1429093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q - 18. Let i be n(-7). Calculate the common denominator of 45\/28 and (i - (7 + -6))*(-2)\/24.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32508626?\nAnswer: 2, 233, 69761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 48*x**3 + 28*x**2 - 10*x + 16. Let y(b) = 24*b**3 + 18*b**2 - 6*b + 9. What is 3*t(o) - 5*y(o)?\nAnswer: 24*o**3 - 6*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 9*j**5\/20 - 2*j**4\/3 + 4*j**3\/3 + 7*j**2 - 3*j. Let u(h) = -3*h**3 + 3*h**2 - 3*h - 5. Give -3*l(a) - 8*u(a).\nAnswer: -3*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.8 + -1.2. Let l = 26 + s. Let k(u) = -u**3 + 22*u**2 + 6. Let i be k(22). Which is the closest to l? (a) 0.5 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-8)*10\/70. Suppose 3*h = 3, -d + 0*d - 4*h = -9. Let g = -9 + 19\/2. Which is the third smallest value? (a) l (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1838\/4539 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*f**2*k**3*s - 154394*f**2*k**3 + f**2*k + f**2 + 577*f*k**2 - f*s - 208 wrt k.\nAnswer: -96*f**2*s - 926364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 30 = 12*r. Suppose -2*q + t - 59 = -6*q, 3*q + r*t = 40. Calculate the least common multiple of 6 and 208\/10 - (42\/q + -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.1 (b) -1\/3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -716, -5, 2, -17 in descending order.\nAnswer: 2, -5, -17, -20, -716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**2 - 981*x - 5 + 981*x wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509294*74\nAnswer: 37687756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 10 + 4 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3576 less than -1040.7?\nAnswer: 2535.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/536 and 113\/95810?\nAnswer: 383240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39134 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 660*h**2 - 3363*h - 2700 = 0. Calculate h.\nAnswer: -4, -1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Suppose 4*p + 9 = 7*p. Let s = 0.1 + -0.2. Which is the nearest to s? (a) m (b) -2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 + -199. Sort 5, -3, -5, f in ascending order.\nAnswer: -5, -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(14) + ((1*sqrt(126))\/sqrt(9) - sqrt(14)) + sqrt(14)))\/(-1*sqrt(63)*1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 7. Let g = c + 5. Suppose -34 = -3*z - 5*k, 0 = -128*k + 132*k - 20. Sort z, g, 6.\nAnswer: g, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.058618 - -27.056. What is k rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7\/1517700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 12971170 rounded to the nearest 100000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 2, d: 1, j: 3}. What is prob of sequence jjdc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94 and 4888?\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-80)\/(-5) - 134425\/(-25) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5, -7*v + 2*v - 5*k + 145 = 0. Suppose -v + 0 = -2*d. Solve -4*t = 5*p - d, 0 = p + p - 4*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -2939*i**5\/30 - 429*i**4\/8 - i**3\/2 + 962*i**2 - 4*i. What is the second derivative of x(j) wrt j?\nAnswer: -11756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 + -5.86. Let w = 3 - 19\/7. Which is the nearest to w? (a) 1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + 7. Let o = -233\/140 - -12\/7. Let r(u) be the third derivative of -2*u**2 + o*u**5 + 0 + 0*u**4 + 2\/3*u**3 + 0*u. Give 4*d(g) - 7*r(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031497120 take away -0.5?\nAnswer: -1031497119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44460 = 981*s - 126*s for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307.7 + -306. Let t = -0.3 - r. Which is the nearest to -2\/3? (a) 0 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 9. Let z be k(5). Suppose -r + z + 6 = 0. Let d(y) = -y. What is the smallest common multiple of d(-2) and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**4 - 1355*h**3 - 2 + 1299*h**3 + 4 + (h**4 + 4*h**2 - 4*h**2)*(1 + 7 - 3) in the form n*h**3 + l*h**4 + k + o*h**2 + f*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/4547?\nAnswer: -1\/4547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333828897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) -0.0184 (c) 0.5 (d) -3.43 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 7*c - 6. Let m be t(6). Suppose v = -3*w + m, -94 + 28 = -3*w + v. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + (-60)\/(60\/15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-18)\/81) + 6\/(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 69.8. Let o = 1661 + -1680. Let w = o + i. What is the nearest to 3\/7 in -5, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = -2*y. What is the common denominator of 2\/y - 250\/72 and 1\/13*-2 + (-9050)\/(-520)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 4\/9, 3\/2, -5, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -27. Let s = 12 + t. Let r(h) = 13*h**2 + h. Calculate the least common multiple of r(s) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/321*((-140)\/(-30))\/7. What is the second smallest value in 2\/7, h, 2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 + 177.2. Let t = 4.8 + s. Let p = -24.8 + t. Which is the closest to -0.01? (a) 4 (b) -2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 146*z**2 + 53*z + 497. Is f(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281338633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 38*b - 89. Let s(o) = -o**2 + 3*o. Give y(s(n)).\nAnswer: -38*n**2 + 114*n - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17999?\nAnswer: 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 108. What is o(48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 572\/(-112) - (-8 + -17)\/175\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:07 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 160938971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95568.8t to milligrams.\nAnswer: 95568800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 262 and 0.47458?\nAnswer: 261.52542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.386862 to 0 decimal places.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 20 (c) -132 (d) 5 (e) -0.295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, g: 4, x: 2}. What is prob of picking 1 x and 1 u?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 167*r**3 + 109*r**3 - 2.\nAnswer: 282*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 190, -5.\nAnswer: -5, 7, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/2 - 22*s**4 - 198*s**3 - 563*s**2 - 1235*s\/2 - 231 = 0.\nAnswer: -33, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a + 3*k + 48, -5*a + 4*k = 29. Let n be -75 + -3*3\/a. Let w = -10 - n. Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*b - 152. Calculate the greatest common factor of 1166 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.62 less than -12381?\nAnswer: -12507.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/49575259 or -1?\nAnswer: -17\/49575259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 28*i = 156 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 4 = 0, 4 = -5*l - 4*w. Let k(u) = -87*u - 17. Is k(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7737)\/(-3) + (-7 - -13). Suppose -62*q = -51*q - v. Is q <= 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95815051.\nAnswer: 43, 743, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l - 15. Solve -p - l*p = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 22*p + 91. What is l(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(204) + -2*sqrt(204)*-1)*6)\/(-2*sqrt(972)*3)*-2*-2.\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**0\/(y\/(y\/y**(-4))*y*y**(1\/2)*y) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 - 7 - -2. Let x = v - -8. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 3200*r - 3222*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -376b709 (base 12) to base 10\nAnswer: -10844217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -844 - -941. Calculate the remainder when m is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/q)**12\/(q**(-2\/3)\/(q\/(q\/(q*q**(-2)))))*(q\/q**(-1))**(-1\/22)*(q*q*q*q*q*(q**(3\/5)\/q)\/q*q*q)\/(q*(q\/(q**(6\/11)*q))\/q) assuming q is positive.\nAnswer: q**(-376\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/10 + 3128\/(-1380). What is the fourth smallest value in -0.003, x, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = u - 24, -t - 643*u = -646*u + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1) + -5 + 7. Let q(t) = i*t + 1 + 2*t**2 + 5 + 7*t - 3*t**2. What is the units digit of q(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -14*k - 60 + 108, -5*f - 17 = 4*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 75. Let i(u) = u + 25. Let v(b) = -8*i(b) + 3*p(b). Let z be v(-13). Solve 3*f = -3 - z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i**2 + 11464*i + 24574. Calculate o(884).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -6243315\nAnswer: -1872994.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 - 2*c + 4*c + (2 - 2 - 1)*(2*c - 6*c + 3*c) + c + 2*c - c.\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 5. Let r be (-1 - 1) + 6\/1. Suppose 21 = 3*h - r*z, 3*h + z = -3*z + 21. Calculate the greatest common divisor of q and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y + 7*y + 3*y + 5*y in the form i + o*y and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05434793 to four dps.\nAnswer: -0.0543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-32*q**2 + 11*q**2 + 10*q**2).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 7*c**2 - 5*c + 7. Give j(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -9. Let w = t - -9. Suppose 4*h = -4*j + 212, w*j - 2*h = 3*h + 85. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244*t - 1249*t + 3*b = -614870, -2*t = 5*b - 245979. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -39265809?\nAnswer: 39265820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0175 * -1.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-1428))\/(((-6)\/(-9))\/(-2)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530604 and 1524.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 8*m**2 - 21*m - 21. Let z(t) = -t**3 - 5*t**2 - 14*t - 14. Let p(j) = 5*r(j) - 8*z(j). Let y(i) = i**3 + 2*i + 2. Give 4*p(v) - 14*y(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-6)\/(-5)*-5*-4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226869907.\nAnswer: 11, 23, 896719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d + 13. Calculate h(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**5\/55 - t**4\/44 + 13. Suppose i(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 1)\/1 - -3. Let a(f) be the third derivative of m*f - 1\/60*f**5 + 0 + f**2 - 1\/210*f**7 - 1\/60*f**6 + 0*f**3 + 0*f**4. Factor a(v).\nAnswer: -v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = 5*v, 151*t - 144*t + 30 = 5*v. Solve -v*m = -24 + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*a**4 - 119*a**4 + 6066*a**3 + 501*a**4 - 6033*a**2 - 6017*a**2 - 6055*a**3 wrt a.\nAnswer: 12696*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.79 - 243.21. Let q = -249.47 - p. Let y = q + -0.03. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220430 and 897465.\nAnswer: 12564510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 28. What is the lowest common multiple of 4 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -159, -356, -641, -1020, -1499?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -16.\nAnswer: 215\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -30*l + 984. Determine k(31).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 2\/21 (c) 0 (d) -0.36 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22208 and -13178137.\nAnswer: -13200345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51673\/11 greater than or equal to 4699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/13 - 30*w**3\/13 + 106*w**2\/13 - 42*w\/13 - 180\/13 = 0. Calculate w.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/7 - 240*w**3\/7 - 4418*w**2\/7 - 10236*w\/7 + 2128 = 0.\nAnswer: -98, -19, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6. Let f(g) = -g - 13. Let k(l) = -2*f(l) - 5*j(l). Calculate k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1794a2b85 - 4?\nAnswer: 1794a2b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4061675953857 - -1.\nAnswer: 2.4061675953857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -71884208, -2 in descending order.\nAnswer: -1, -2, -71884208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -260 - 253 + 773 - 5*x - 262. What is w(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.3 - -216.7. Let d = q - 243.0000635. What is d rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60879 or -60849?\nAnswer: -60879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38796, -55390, -71984, -88578, -105172, -121766?\n\"Answer: -16594*o - 22202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s + 92. Let x = 2 - s. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 4, s: 1, n: 4, c: 3, l: 7, z: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1340 + 1340 + 2*g. Let a(t) = 0 + 6*t - 3 + 3. Determine c(a(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = -3*v. Suppose 0 = -v*g + g. Let s(n) = 2*n**2 - 34*n + 91. Let o(w) = w**2 - 15*w + 40. Let u(p) = 9*o(p) - 4*s(p). What is u(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155646 - -240541. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1053) + 1))**2 + sqrt(1053) + 2*(0 + sqrt(1053)).\nAnswer: 189*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11490 by -21295.\nAnswer: 2298\/4259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 72720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {c: 3, g: 1, a: 1, q: 3, v: 1, z: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 522.2 - 531.2. Let y(q) = -q**3 + 4*q**2 - 5*q + 4. Let t be y(3). Which is the closest to w? (a) t (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45799 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 10362?\nAnswer: -10355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3\/5, -3.9, -2.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, z: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2115\/10 - 2\/(-4). Suppose 4*o = -4*l + 64 + i, 0 = -4*o + 8. Calculate the remainder when l is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 4:01 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s**2 + 5\/6*s**5 + 0*s - 210*s**4 - 1265\/6*s**3.\nAnswer: 5*s**3*(s - 253)*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*u = -80164, -3*v + 34*u + 240427 = 38*u. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*24*4\/(-9). Suppose 4*v - 968 - 56 = 0. What is the highest common divisor of v and x?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + a1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10*(-9)\/(-90))\/((-4)\/(-1488)). What is the highest common divisor of 465 and f?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0771 - -0.2771. Let q(d) = d**2 - 7*d - 5. Let z be q(7). What is the third smallest value in v, -0.3, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/(-18)*((-322)\/21)\/(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:02 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110011 - 10010001001?\nAnswer: -101110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22442341 (base 5) to base 14\nAnswer: 53cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8)\/((-102)\/(-272))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/24 - 51*v**2. Let r(f) = -2*f**2 + 129*f. Give r(p(g)).\nAnswer: -2*g**2 + 129*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4257 and 18540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 14*m + 12. Let d be o(-9). Suppose -5*v + d = -3*z, 36 + 4 = 4*v - z. Calculate the smallest common multiple of v and 6\/(-14) + 240\/21.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -126*y**3 - 4*y**2 + 11*y - 8. Let w(t) = 250*t**3 + 7*t**2 - 20*t + 14. Determine 7*q(p) + 4*w(p).\nAnswer: 118*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {y: 1, c: 1, h: 1, o: 1, l: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*n**4*z - 36*d*n**4 - 32*d*n + 8*d*z - 3*d + 2*n wrt n?\nAnswer: -36*d*n**2*z - 432*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5664 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3230 + -100212333?\nAnswer: -100203103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 273 (b) 15608 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -64*t**2\/5 - 100228*t\/5 + 2775552 = 0.\nAnswer: -27105\/16, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 62280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.81 - 47.237. Let s = -0.173 + l. Round s to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 838 + w**2 + 4*w**4 + 5*w**4 - 3*w**2 - 837 - 3*w in the form u + z*w**3 + g*w**2 + v*w**4 + d*w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 24 = 2*s + 5*c, -s + 12 = 4*c. Solve -36*h + 42*h = -s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 - 4*b**4 + 303*b**3 + 695*b**2 + 11*b - 2 wrt b.\nAnswer: 120*b**2 - 96*b + 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {t: 2, x: 4, j: 1, k: 3, n: 2, y: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 - 8*f - 10. Give s(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554206 is divided by 134?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 433 + -432.232. What is n rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 divided by 1?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 21 = p. Let b(z) = z**2 - 2*z - 5. What is the lowest common multiple of p and b(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Which is bigger: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-322)\/(-10) + (-9)\/45. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w = 2*x + 20, -5*w + 40 = 2*x. Let f(u) = 14*u - 27. Is f(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -465, -144, 391, 1140?\n\"Answer: 107*h**2 - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72918, 291742, 656464, 1167084, 1823602, 2626018?\n\"Answer: 72949*g**2 - 23*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-6)\/(-3)) + 1. Let c = 15 + f. What is the least common multiple of c and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -0.6. Let j = 61.8 + -60.8. Which is the smallest value? (a) j (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22391 < -24304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 19*a - 1302 = 0. Suppose -a*r = -76*r - 7021. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8\/7)*s**(-9)*s*s*s*(s**(1\/38))**(-33) assuming s is positive.\nAnswer: s**(-2131\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -8 + (2 - 1). Let i(d) = 2*d**3 - d**2 + 3*d + 3. Let b be i(r). Let q = -8 - b. What is the greatest common factor of 105 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -80538.\nAnswer: -40269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-4) + 3\/6. Find the common denominator of -3 + 8\/(-12) + -4 and 116\/(-15) - m\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times 0.03?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115\/23)\/(75\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1203134 and 261122?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1219088 and 43\/208?\nAnswer: 1219088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -167029 and -0.3.\nAnswer: -167029.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 17. Suppose 0 = 8*x - 13*x - 10. Let l be z(x). Solve 4*a - l = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65216 and -1.34.\nAnswer: 65214.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 32*p**2 - 185*p + 7. Let v be m(37). Solve -v = 5*r + 2*x - 5*x, x - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.177886 from -0.2.\nAnswer: -0.022114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Let k = q + -1.1. Let g(z) = -z**2 + z + 2. Let r be g(-2). Which is the nearest to 1? (a) k (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -5 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*k - 312, -5*k + 217 + 173 = 3*f. Let g = 108 - k. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbszsqkbsbskz. What is prob of sequence kbk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3045 - 3045 - 11*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 382 = 2*m, 5*c - 409 - 82 = 2*m. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -193*b**3 - 3*b + 135. Let q(i) = -i**3 + i - 1. Let u(v) = -m(v) - 3*q(v). Differentiate u(z) wrt z.\nAnswer: 588*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(68) - 1*(-1 + sqrt(68)) - -5*(2*sqrt(68)*-2 + sqrt(68)))**2*-2.\nAnswer: -26674 - 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 + 87*z**2 - 429*z + 345 = 0. Calculate z.\nAnswer: 1, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiiiiiitiittii. What is prob of picking 3 i?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215339862 and 1731.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(110) - (sqrt(110) + (sqrt(110) - (-1*sqrt(110) + sqrt(110))))*6)\/((sqrt(50)*1)\/sqrt(5) + 2*sqrt(1440)).\nAnswer: -8*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*m**3 - 22*j*m**2 + 6*j*m - 58*j - 2 wrt m.\nAnswer: -6*j*m**2 - 44*j*m + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(544))\/((sqrt(6) + sqrt(36)\/sqrt(6) + sqrt(6))\/sqrt(3)) + 4 + -4*(sqrt(1088) + -1) + -2.\nAnswer: -104*sqrt(17)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbz when three letters picked without replacement from rbbrlbbbzrzbbrzr?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -52. Let k = 4.2 + -3. Let i = q + k. What is the closest to 0.3 in 0.1, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*w, -101 = -v + w. Let a = 268 - v. Suppose 166*n - a*n + 28 = 0. What is the highest common divisor of 70 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*u**2*w**3 + 115*u**2*w**2 + 89*u**2 - 76*u*w wrt w.\nAnswer: -444*u**2*w + 230*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3676*v - 11745 = -3241*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20.75184 litres?\nAnswer: 20751.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -178\/5, -2\/11, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16351 - -31593. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31940683481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 52. Suppose -23*x + s*x = -16. Suppose 2*a = -3*j + x*j + 439, -4*j + 12 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5*0.5129.\nAnswer: -2.30805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 - 2093 = 194*c - 593 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 1156 + 1160 + 1136 + c**2 - 3452.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -388*v + 379*v - 0*r + r + 44, r = 3*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/5 - z**4\/4 + z**3 - 3*z**2 + 6*z. Let o(k) = -9*k**3 + 7*k**2 - 13*k + 13. Give -6*o(x) - 13*r(x).\nAnswer: 2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = 4*b, 3*b - 78*w + 24 = -82*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*7\/35*1\/3. Factor -w + 1 - 51*g - 2*g**3 + 61*g + 8*g**2.\nAnswer: -2*g*(g - 5)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let v be a(2). Suppose 7*u - v*u = 25. Is (6 + u)*(1 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*1 + 5.\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7*d + 15 = 12*d, -4*s + 5*d + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 706 and 8.\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 6) in base 9?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - m**2 + 3 + (0*m - 7*m + 4*m)*(8*m + 8 - 8) + (2 - 4 + 4)*(-3*m + 3*m - 2*m**2) + 3 - m**2 - 3 to y*m**2 + v + b*m and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:07 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t - 169. Determine j(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y + 56. Give c(21).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057224041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -29.\nAnswer: 73\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qffzzqqmq. What is prob of sequence zmf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jww when three letters picked without replacement from {z: 11, w: 2, j: 1, d: 5}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42 - -10) + 0 - 37) + -18.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -5 - (-13 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*n - 142*n + n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 4*x + 13)*(-2*x - 4*x + 3*x) + 127 - 127 - 13*x**2 to the form u*x**2 + h*x + d and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by (-1190)\/(-7) - (6 + (-9 - -1))?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 - 11*z - 3. What is the units digit of h(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p + 70. Let r(g) = -12*g - 139. Give -5*f(u) - 3*r(u).\nAnswer: u + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -28*o + 5. Let k(h) = -23*h + 6. Let g(w) = w**2 - 18*w + 40. Let z be g(15). Let r(l) = z*k(l) + 6*n(l). Let j(x) = 13*x. Calculate 9*j(b) + 2*r(b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**7\/147 + i**5\/35 - i**3\/21 - 5*i. Factor f(x).\nAnswer: -2*x*(x - 1)**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2038 by -1.\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 5. Let y be (-202)\/20 - 1\/(-10). Let f be 9\/2 - 5\/y. Determine u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.9 - -56. Let h = i + 0.9. Let w be 1\/(-2)*(5 - -1). Put h, w, 5 in ascending order.\nAnswer: w, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4\/5, -178?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*b + b + 19, -4*b + 10 = -2*o. Let l be 1\/2*(o + 9). Let r be ((-12)\/(-9))\/((-1)\/3). Sort r, 4, l in decreasing order.\nAnswer: 4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 - 36 - (4 + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 2.1. Let p = -9.7 - -5.9. Let d = p + 2.8. What is the nearest to d in -1\/2, -2\/7, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466557\/(-3418)*8\/42.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3120.9 + 3121. Which is the nearest to s? (a) 2\/3 (b) -17 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 4407292*l\/7.\nAnswer: -4*l*(l + 1101823)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)\/((-46)\/(-138)). Let g be 10\/(-450)*5*b*-1. Let p = -3 - -2. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**3 - 7*d**2 - 10. Let c(w) = w**2 - 13*w + 5. Let v be c(13). Let p(f) = -12057*f**2 + 14 + 12063*f**2 + 6*f**3 - 5. What is v*x(j) + 6*p(j)?\nAnswer: j**3 + j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1002 + -1001.5. Which is the third smallest value? (a) o (b) -0.3 (c) -1\/4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -15*v + 9*v. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12575, -29081, -45625, -62225, -78899, -95665, -112541?\nAnswer: -129545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from jppojopxurppppop?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 77*k - 311. Let v be r(0). Suppose -m - 228 = -57. Let z = v - m. What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**9)\/((a**2\/a)\/a))**(3\/2) assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 1 = 4*c - 4*q, -3*c + 5*q = -54. What is the remainder when 136 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.4. Let k = -61 + 59. Which is the closest to k? (a) 0.3 (b) 2\/21 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1250946595231.\nAnswer: -1250946595231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x - 3. Let v be 4\/((-1)\/(-2 + 1)). Suppose -4*t + k + 28 = 0, -3*k + 20 = v*t - 6*k. Calculate the remainder when t is divided by r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 713150 - -3?\nAnswer: 713153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613483897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 41*v**6\/360 - v**5\/24 - v**4\/24 + 7*v**3\/6 + 9*v**2. Let d(h) be the first derivative of x(h). Is d(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-42)\/(72\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/34515?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 > 4274\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 228 + 203 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 + 56178*m - 8143287\/5.\nAnswer: -3*(m - 93601)*(m - 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 17463.\nAnswer: 2444820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 78*q = 81*q - 33, 4*o - 4*q + 44 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/((-4 + 1)\/(-15)). Let v be ((-30)\/(-4))\/(1\/2). What is the highest common factor of r and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -5)\/((-2)\/(-4)). Let z be (292142\/10)\/((-24)\/k). Let j = 12163 + z. Find the common denominator of j and -59\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**4 - 166*s**3 - 2*s**2 + 306*s - 363028?\nAnswer: -8*s**3 - 498*s**2 - 4*s + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/12 and (-158)\/8*(-18)\/(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11054 - 44455\/4. Let w = 60 + u. Sort -3, 0.2, w in descending order.\nAnswer: w, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*3\/162)\/((-3)\/54)*-46.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 3*c + 2*c)*(2 - 6 + 2) - 2*c + 0*c + 0*c + 0 + c + 0 + (1 - 2 - 1)*(-1 + c + 1) - 1 + 2*c + 1 + 103*c + 67 - 67.\nAnswer: 104*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15\/17 (b) 0.5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/2 + 1422*y**2 - 2315559*y\/2 - 1159200 = 0.\nAnswer: -1472, -1, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*n**2*u + 56*c*n*u**3 - 25*c*n*u + 170*n**2*u + 3*u**3 wrt c.\nAnswer: n**2*u + 56*n*u**3 - 25*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071*u + 28 = 1078*u. Solve 2*d + 2*k + 2 = 0, 3*k + 4 = -u*d + 5*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5673632 or 5673637?\nAnswer: 5673632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 2.62522?\nAnswer: -2.52522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 0*f**2 + (3*f - 2*f - 3*f)*(f - f - f) + 3*f**2 - f**2 + 0*f**2)*(3*f - f**2 - 3*f) + 2*f**4 + f**2 - f**2.\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785060.9mg to grams.\nAnswer: 785.0609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 + -962\/9. Let p be (4652\/387)\/4 - 3. Let x = p - 88\/387. Which is the nearest to u? (a) 0 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 4*x + 40. Let p(c) = 3*c**3 - 2*c**2 + 10*c + 80. What is -5*i(u) + 2*p(u)?\nAnswer: u**3 - 4*u**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 300?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8)*-4 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*z - 534*z - 42 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 20*l + 97. What is r(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 23. Let t(c) = -2*c + 1. Determine -l(v) - 2*t(v).\nAnswer: 4*v - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 576, 1072, 1766, 2658?\nAnswer: 3748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 3, 16, 45, 96, 175?\n\"Answer: r**3 - r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 1 (c) 9878857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 30325 = -8309. Let g be (-4)\/14 + c\/28. Suppose -g = -2*y + k, 5*y - 4*k - 1748 = 211. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**7\/126 - 29*v**6\/45 - 359*v**5\/30 + 884*v**4\/9 - 4681*v**3\/18 + 961*v**2\/3 - 5*v - 382. Suppose o(l) = 0. What is l?\nAnswer: -31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -59. Suppose x + 3*i - g = 0, i = 3*x - 3*i - 27. Let y = -8 + x. Calculate the smallest common multiple of 9 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from fhpqpqqphqqpqhhfpfp?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8360, -8321, -8236, -8081, -7832, -7465, -6956?\n\"Answer: 4*w**3 - w**2 + 14*w - 8377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q**5\/13 - 266*q**4\/13 - 2804*q**3\/13 - 4096*q**2\/13 + 192*q\/13 = 0.\nAnswer: -4, -2, 0, 1\/22, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 2372, 5728, 10428?\nAnswer: 16472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300696117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(3 + 3 - 2)*(0*f + 3*f - 6*f) in the form p*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/552 and 29\/1840?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212\/105 + 26\/15. Suppose -4*v + 5*v + 5*l - 14 = 0, 3*v - 6 = 3*l. Suppose -3*w + 3 - 18 = 0. Which is the closest to v? (a) w (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*o + 112 = -2*o, -119 = 3*i + 2*o. Let n = 78 + i. What is the third derivative of -7*w**2 + n*w**6 + 38*w**6 - 68*w**6 wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 289132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -47 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11)*3) - sqrt(22)\/sqrt(2)*-2) + -3.\nAnswer: -3 + 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 169*c - 165*c - 4*u, 0 = 3*c + 2*u - 170. Calculate the highest common divisor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 3 (c) -5.9 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 320320 + -74954761\/234. Find the common denominator of v and 4 - (-233)\/(-10) - -7.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -4 + (8\/(-5))\/((-3)\/195) and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/2 or 883?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1501084?\nAnswer: 1501085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 920 = -170. Let d = -67 - m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381169054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19*216\/1710)\/(4 + (-308)\/80).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 12. Let r be d(-8). Suppose r*w = -1073396 - 566604. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/385578310 and -33\/385578310.\nAnswer: 385578310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3373*v - 303*v**5 - 458*v**5 + 6*v**2 - 1745*v - 1800*v wrt v.\nAnswer: -45660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-1.3618977\nAnswer: 1.90665678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 195b50?\nAnswer: -195b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -62?\nAnswer: -43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + 4 = 5*l, 3*l - 5*q = -5. Suppose l = x - 0*x + 4*s - 75, 0 = -s. Let v = 87 + x. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**6\/240 - 7*o**5\/120 + 7*o**4\/24 - 2*o**3\/3 + 38*o**2. Factor k(m).\nAnswer: (m - 4)*(m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -8, 0.04, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31852 and -0.2?\nAnswer: 6370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 77 = -4*n, -g = -3*n + n + 21. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q = -1914 + 571 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 3)\/(-2 - (-2)\/(-2)). Let r = o + 8. Solve -3*s + r = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*r**2 - 4 - 1 - 2 with respect to r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 2, j: 1, f: 2, y: 1}. Give prob of picking 1 y, 1 i, and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - u + 9. Let c be h(0). Suppose b - 10 = 2*m, -m - 4 + c = 0. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 2*j**2 - 2*j + 4. Let g be f(0). Suppose g*o = 2*o + 40. Solve 0 = -5*p - 5 - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1. Let h be (-4)\/((-8)\/14)*-60. Let a be (-2)\/7 - 15\/h. What is the nearest to v in a, -0.4, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(9\/4))\/((-130)\/390). Let w(d) = 5*d**3 - 5*d**2 - 1. Let h(y) be the first derivative of 11*y**4\/4 - 11*y**3\/3 - 2*y + 4. Calculate t*h(n) + 9*w(n).\nAnswer: n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -15, 264 in decreasing order.\nAnswer: 264, 4, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**4\/8 - 716*y**2 + 1. Let c(x) = 804*x. Give i(c(u)).\nAnswer: 2412*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -28, 3 in ascending order.\nAnswer: -28, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -45 + 51. Let l(b) = -20*b**3 + 2*b**2 + 46*b + 242. Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83452453 - -83564257.134. Let c = k + -111941. Let q = c + 137. Round q to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.76322 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00766 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-10)\/(-6))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -13 (c) 0 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*c, -2*c - 16 = -4*z. What is the smallest common multiple of z and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - ((2 - 4) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.63773\nAnswer: -1.27546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 4. Let i(d) = -252*d**2 - 10*d - 2. Let z = -29 - -34. Let p(n) = z*t(n) + i(n). What is the derivative of p(v) wrt v?\nAnswer: -504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -18. Suppose -h - k*h = 0. Solve 0 = 2*f - 8*a + 4*a, -4*a - 8 = h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d, 0 = 58*v - 57*v + 4*d - 134. What are the prime factors of v?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-40) + 115\/25. Let k(l) = 3*l + 2. Let x(y) = 2*y + 3. Give j*x(h) - 6*k(h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -71, -137, -223, -329, -455, -601?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + -6 - (-448 + 393).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonnonioiinoiiii. Give prob of sequence nnin.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/j**(5\/3)))\/j**(1\/2))**(-9) assuming j is positive.\nAnswer: j**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 24 - v - 7 - 9.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44*(-4)\/36 + 5. What is the nearest to 2\/7 in -4, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43206, 86377, 129548, 172719?\nAnswer: 215890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/2*2\/(-4). Suppose s - 2 + 1 = -r, s - 5*r = u. Solve 5*g - s = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270 - -161) + 17 + 82?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18382 + -18358. Calculate the smallest common multiple of 180 and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:32 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(147).\nAnswer: -7*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 5, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2909063261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/11 - 60*h**4\/11 + 2764*h**3\/11 + 408*h**2\/11 - 19610*h\/11 + 1500 = 0 for h.\nAnswer: -55, -3, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -63. Suppose -15*s + 18*s - d = 0. Suppose -u + 398 = s*g, -g - 4*g - u + 666 = 0. List the prime factors of g.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4799*l - 1488197. Give g(310).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 1\/3 (b) -4 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1317*4\/(-84))\/(-1 + 0). Let x be (-4)\/14 + 4535\/70. Let d = n + x. What is the common denominator of 109\/20 and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.2 * 2.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/((-10)\/(-16) + -1). Suppose 0 = q + 5*x - 12, 5*q + 5*x - y = -12. Solve 0 = q*o + h - 0*h, -5*o = 2*h - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10191 and 2802783.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 5 - 30 - (-2 + (-3 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415985 and 2763?\nAnswer: 3743865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + 1 + 2))*1 + 1 + (-1 + -1*(sqrt(320) + 1*sqrt(320) + sqrt(320)) + 4)**2.\nAnswer: -144*sqrt(5) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10495, 20991, 31487, 41983?\nAnswer: 52479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 - 6*y - 1. Let q be n(-5). Let i = q + 26. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2270)\/(-12) - 4) + (-2)\/12?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33046495 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 693\/10, -9.9, -1, -4?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 4. Let v be b(-4). Let y(r) = -5*r**3 + 3*r**2 + 2*r - 1. Let n be y(-3). Let c = n - 1087\/7. Put 0.5, v, c in decreasing order.\nAnswer: 0.5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16288345 is divided by 3257667.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/928 - 2025\/(-288).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 - 5*r + 3. Let f be ((-5)\/10)\/((-3)\/(-36)). Determine k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/56)\/(11*-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-3*(sqrt(3300) + 2*sqrt(3300)) + sqrt(3300)))\/((sqrt(539) - (sqrt(539)*2 - sqrt(539))*2 - sqrt(539) - sqrt(539) - sqrt(539))*6))**2.\nAnswer: 100\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p = 4*w + 28*p + 4, -p = 0. Let l(v) = v**2 + v. Let j(g) = 9*g**2 + 5*g. Determine w*j(d) + 2*l(d).\nAnswer: -7*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/4)\/(6055\/19376).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -146*w**3\/3 + 281. Let d(x) = -5*x**2. What is d(z(n))?\nAnswer: -106580*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 31 - 45. Let g be 7\/4 + (-8)\/(-32). What is the remainder when q is divided by 0 - -6 - (-3 + g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/27 - (-4)\/18. Suppose 5 = 5*x - n. What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 1, -1, 4801 in decreasing order.\nAnswer: 4801, 1, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from swtxtssqtxx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14898817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5823205\/36 + 161738. Let f = -55\/4 - d. Calculate the common denominator of -77\/18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -18*b - 10. Let o(s) = 3*s + 4. Let h(z) = -4*n(z) - 11*o(z). What is h(2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -8457950\nAnswer: -1\/1691590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 863713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - v - 2. Let q = -46 - -48. Let z be o(q). Let h = -5 + z. Calculate the lowest common multiple of 7 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 7*l**6\/120 - l**5\/60 - l**4\/24 + l**3\/6 - 5*l**2. Determine o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 342.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p + 8416 = 0. Let q = p - -1114. Let g = 2027\/2 + q. Find the common denominator of g and 49\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/24*(-1)\/3\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51)\/5 - 18\/(-90). Let a be 1\/(-3)*50\/z. What is the smallest value in a, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29329377+11\nAnswer: 11.29329377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 - -168. Let v(j) = -8*j. Let f(m) be the third derivative of 3*m**4\/8 + m**2. Calculate a*v(k) - 6*f(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 392307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 958*v - 2886. Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 43. Let k = 2.4 + 0. Let u = k - o. Sort 5, u, -1\/5.\nAnswer: -1\/5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 7. Are a and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(60)\/sqrt(5)*6) + -1.\nAnswer: -1 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231.3, -2, -1.3, 0.4, -3.\nAnswer: -231.3, -3, -2, -1.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.4306 kilometers in meters?\nAnswer: 408430.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elquqeqeeql. What is prob of sequence lule?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 346 in 14, 5\/4, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.211 (b) -5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1694755*f*i**3 - 2*f*i**2 + f*i + 2*f - i**5 - 11*i + 4354 wrt i.\nAnswer: 10168530*f - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**4 + 94*d + 343 with respect to d.\nAnswer: -12*d**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 12:56 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447513 is divided by 9299?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 8, 0.4, 2, 0.3.\nAnswer: 0.3, 0.4, 2, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23\/c**6)\/(c**(-1\/4))**(3\/2) assuming c is positive.\nAnswer: c**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - (-27 - -3)) + 12 - 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*c**5 - 16*c - 7*c + c + 0*c wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1719, 4500, 8347, 13260?\n\"Answer: 533*x**2 + 1182*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)*(-2)\/4. Suppose -9*d + 6*d + 18 = u. Let x = -1062 - -1077. Solve -b + x = -d*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - g = -2, 4 - 8 = 4*g. Suppose -3*x - 8 = -3*b + 1, n*b = 4*x + 8. Solve -3*c - 2 = x, -5*k - 2*c = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/8 - 8847*y**3\/2 - 35371*y**2\/8 + 141543*y\/2 - 176935\/2 = 0.\nAnswer: -35387, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 206.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2956 and 7.6?\nAnswer: 22465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 - 8*v**2 + 27 + (2*v - 2*v - 17*v**2)*(-2 + 2 + 1) + 0*v - v**2 + 0*v.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2631*g - 1090. Is 127 a factor of x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + (-190)\/70. Let h = v + 5. Suppose 15 = h*o - 15. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (46\/3 - 5). Let t be 1\/3 - p\/45*-12. Let y be (-9)\/12 - (0 + -1). What is the nearest to y in 5, t, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 13*d. Let p be -2*19*(-2)\/4. Suppose d = -4*k + p + 13. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -1 - 1, 0 = -4*a + 2*o + 6. Suppose -h = a*h - 9. Suppose -118 = -21*v - 57 - 40. What is the third biggest value in h, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661\/12 bigger than 1806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343))*4 + (sqrt(343) - (sqrt(343)*3 + -1)))**2.\nAnswer: 28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 5. Let u(t) = -t**2 + 7*t. Let c be u(5). Let q = m + c. What is the smallest common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:22 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022022101 (base 3) to base 2.\nAnswer: -10100101100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1338 and 1219587.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 16*k + 21. Suppose 0 = 5*m + 15, 9*b - 6*b - 54 = 4*m. Calculate o(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:08 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -83 - ((93 - 196) + 81) - 20.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v + 1. Let j be (-2)\/(-5) + (-18)\/(-5). Let s = j - 3. Let h be q(s). Which is greater: h or 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b*d**3*o + b*d*o + 891*b*o**2 - 42*d**3*o**2 + d*o**2 - d - 8 wrt b?\nAnswer: -3*d**3*o + d*o + 891*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394068, -394086, -394118, -394164, -394224, -394298?\nAnswer: -394386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(40)\/sqrt(4)) + (sqrt(98)*3)\/sqrt(7))\/(-5*sqrt(28)\/sqrt(4) + 3*sqrt(343)) + -4.\nAnswer: -4 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 0.012012902774?\nAnswer: 1.012012902774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**2 + 41*b**2 - 80*b**2 - 86*b**2 as q + c*b + h*b**2 and give h.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 5*x**2 + 5*x**2 + (-9*x**3 - 58*x**3 - 53*x**3)*(-4*x - 5*x + 3*x) + 3*x**4 - 5*x**4 - x**4.\nAnswer: 718*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188 or -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -2 - (10 + 2 + 4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (21760\/816)\/((-16)\/24)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 - 202. Does 14 divide m\/(-5)*(16 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 - 4*s**3\/3 - 3*s**2\/2 - 23*s + 9. Calculate n(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 3, c: 4}. What is prob of picking 2 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1231*a + 7 = -1238*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244844 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 6*r**3 - 2*r**3)*(3*r - 2*r + r) + (-2 - r + 2)*(3*r**3 + 3*r**3 - 5*r**3) + 2*r**4 + 0*r**4 + 0*r**4.\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-3 - 2*n + 3) - 1 + 1 + n + 3*n - 6*n + 3 + 7*n.\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5677815, 5677822, 5677829, 5677836, 5677843?\n\"Answer: 7*y + 5677808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28 + ((-2324)\/415 - 2\/5). What is the greatest common divisor of 495 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 215 - -1b?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103039946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4530.6 and 6?\nAnswer: -27183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4912, 5042, 5260, 5566, 5960, 6442?\n\"Answer: 44*n**2 - 2*n + 4870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 5*q**2 - 11*q - 26. Let l be c(-6). Let m(y) be the first derivative of y**3\/3 - 2*y**2 + 4*y - 1. Let f be m(l). Solve -f = -0*g + 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -253*j**2 - 2032*j + 3. Give a(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b\/(b**5*b*b))*(b\/(b**(3\/7)*b)*b)\/b*b**(-1\/6)\/(b\/b**(3\/4)) assuming b is positive.\nAnswer: b**(349\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5974*w - 4311. What is the units digit of m(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/(-1254)*54\/(-360)*50*3\/12?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2965520*g. Let b(w) = w**2. What is b(n(k))?\nAnswer: 8794308870400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9217 + 3029 = 238*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100441 is divided by 98.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-36)*4*9\/189*-6)\/66\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 minus 942?\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272)*2)**2 + -5 - (3 + sqrt(272)*1)) + (sqrt(34) + (-1*sqrt(408))\/sqrt(12))\/(sqrt(40)\/sqrt(5)))*6.\nAnswer: -24*sqrt(17) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixi when three letters picked without replacement from {i: 2, g: 1, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -1\/9, 4, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 4426\nAnswer: -4429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/7)*q**(-12)*(((q*q**(1\/3)*q)\/q)\/q)**(-8) assuming q is positive.\nAnswer: q**(-293\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n**3 - 3*n - 4. Let r be q(4). Suppose 2*v - 2*s = -418, -3*v = 3*s + 596 + 43. Let m = r + v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-11))\/j**(-8)*j**(1\/3)*j*j**(-1\/6))**(-6) assuming j is positive.\nAnswer: j**(-127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192552 is divided by 1920.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07745335 and 1?\nAnswer: 0.92254665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(605) + -1)**2 - sqrt(605) - sqrt(605))*-4.\nAnswer: -4848 + 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-1)*(-13)\/((-273)\/(-14))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-5)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 + 8193*p**4 - 189960*p**3 + 181764*p**2 = 0.\nAnswer: -2754, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124)\/(-1 + -3 + 529\/138) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:10 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*b**2\/5 - 116*b\/5 + 32\/5.\nAnswer: 2*(b - 8)*(7*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3982*t = 3961*t + 357 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 207894431 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -43.95, -15 in decreasing order.\nAnswer: 5, -15, -43.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -36. Suppose -4*f + 9 = v, -5*v + p*f - 4*f = 30. Is -439*(-1)\/v*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - b = -6, 759*k - 756*k - 5*b + 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85041435.\nAnswer: 3, 5, 19, 103, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 108 + 113 + 3*l**3 - l**3 - 6*l**3 - 2*l**3.\nAnswer: -6*l**3 + 3*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 5*m**7\/21 - m**6\/2 - 9*m**5\/2 - 10*m**4\/3 - 9*m + 7. Suppose o(k) = 0. Calculate k.\nAnswer: -2, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4776, 9435, 13974, 18393, 22692, 26871, 30930?\nAnswer: 34869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -11\/4, -3\/2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 894.7378 days?\nAnswer: 77305345920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2. Let g be (3\/(-2))\/(3\/4) - -10. Let f(h) = 7*h + g*h**2 - 17*h + 10*h. Determine c(f(i)).\nAnswer: -256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 627*y = 637*y - 1262*y + 2, -40 = -5*n + 4*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.007, -0.01, 4, -3\/4, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/46 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 3*i - 6. Suppose -w + 10 = -n - n, 0 = 4*n + 20. Let u(y) = -2*y + w*y - 12*y**3 - 1 + 3*y**3 - y**2 + 2*y**3. What is u(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from tctvca?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 246*l - 1098. Let r be y(5). Is 1196\/9 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5179 + 5184. Put 1\/1209, s, -2 in ascending order.\nAnswer: -2, 1\/1209, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 13. Let x be p(-8). Suppose 5*v - f + x*f - 41 = 0, 1 = v - f. Solve 5 = -5*d + 5*n - 15, -6 = -2*d - v*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*f + 10, 4*r + 5 = -f - 6. Let w(t) = -6*t**2 + 32*t - 30. Let q be w(1). Put -5, q, r, -3 in increasing order.\nAnswer: -5, q, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by (-175)\/(-7) + -29 + (0 - -42)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, -8, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71854 + -32050. What are the prime factors of t?\nAnswer: 2, 3, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6905, 12600, 17093, 20384, 22473, 23360, 23045?\n\"Answer: -601*j**2 + 7498*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 11. Let k(a) = 2 + 2*a**3 - 15*a + 23*a + a**3 + 22*a**2. Let l be k(-7). Give v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97*b*o + 47632*b - 8247509*o wrt b?\nAnswer: 97*o + 47632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 310*g**2 - 235 with respect to g.\nAnswer: 620*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-6)\/(-2))*3)\/((4680\/(-380))\/78)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjiumkutmkuuuiijjum. What is prob of sequence tj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - (-1)\/2. Suppose 0*k - 9 = -3*k. Let u(f) = -4 + i + 4 + f**k. Let s(z) = -7*z**3 - 2*z**2 - 6. Give s(n) + 6*u(n).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 78743.931 hours?\nAnswer: 468.713875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-28)\/i)**47\/(i**5\/(i*i**(2\/33))) assuming i is positive.\nAnswer: i**(-43558\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-385)\/(-25) - (-6)\/(-15). Let i be o\/(-17) + 2 - 1. What is the second smallest value in 0.1, i, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875 = -2*i + 10*i - 3395. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 m when four letters picked without replacement from kkmmmmkmkkkkkk.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)\/g*g**(-1\/6)*(g**(2\/5))**(-18) assuming g is positive.\nAnswer: g**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5148*q - 5141*q - 413. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d - d)*(4 + 10 + 8 + 6).\nAnswer: -140*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 767970293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -48 + 24 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 3*v + 10. Suppose a + 2 = 1. Let f be 4\/(1 - a - 0). Solve f + v = d, -5*d = 2*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 135*o**2 + 152*o**2 + 10 - 12.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55568425349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.69 * -0.0279.\nAnswer: 0.102951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2194015955 rounded to 5 decimal places?\nAnswer: -0.2194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -206*b + 1091. List the prime factors of u(-21).\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1, h: 4}. What is prob of picking 2 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u + 271*u + 188*u - 16389 + 16388.\nAnswer: 435*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3 - 3)*(-4 + 5 + 1)*(-31 - 20 + 8)*(2*s - 5*s + 0*s).\nAnswer: -516*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/21*(-4 + 55\/22)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 20. Suppose t - r = 3*t. Let o = -7 - t. Solve 0 = -o*b + 2*j - 6, -4*b + b + 3 = j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125597159.\nAnswer: 125597159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43418 and 8194.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4 = 4*h, 12 = h + 4*r + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 141\/(-12) + 2\/(-8). Let o be ((-9)\/v - -3) + (-21)\/28. Solve 0 = o*u - 2*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -14*t - 3. What is v(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t**2 + 3*t + 2204. Let c(j) = -17 - 11 - 9 + 9 + 91*j. Give 3*c(l) + 28*x(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 20, 44, 88, 158, 260, 400?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 57741.7 * 1.227\nAnswer: 70849.0659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 5122 = 137 - 1351. Put 1, 3, 0, m in ascending order.\nAnswer: 0, 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 - 971*w - 13028. What is m(-14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*-63\nAnswer: -214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l - 64. Give h(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(5) + sqrt(5) + (sqrt(5) - ((-6*sqrt(5)*-2 - sqrt(5)) + sqrt(5)))) + -2)**2.\nAnswer: 4*sqrt(5)\/3 + 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -9, 3 in increasing order.\nAnswer: -11, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(5 - 5 + 2*z + (-4 + 1 + 2)*(0*z + 0*z + 2*z) + 3 - 2*z - 3 + z - 7*z + 4*z - 2*z - z + 5*z - 11*z + 22*z - 5*z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-7)\/(-65)*2090\/38?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2380 + 28*a**4 - 25*a**4 - 47*a**4 - 79*a**4 + 3*a**4 wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59.78127 meters?\nAnswer: 0.05978127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by 171.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 - (-8 + 10 - 8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = -2*u - 0, -3*h = -u + 1. Find the common denominator of ((-54)\/10)\/(u\/(-6)) and 11 + -142*(-3)\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + 80\/(-12). Let t(n) = -2*n - 8. Let m be t(u). Let y be 4\/18 + (-43)\/(-9). Solve c = -5*p - 25, -c = p + m*c + y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b - 17. Let n be v(-2). Solve -n*w = -7*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3.7 in ascending order.\nAnswer: -4, 2, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 + 0*c**4 + 195*c**3 + 2 - 198*c**3 + 0 to f*c**3 + m + v*c**2 + r*c + d*c**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 6*j + 10. What is y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -170. Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/120 - k**4\/24 + k**3\/2 + k**2. Let z be l(0). Factor -x + 4*x**4 + 2 - x**z + 2*x**3 - 5*x**2 - x**4.\nAnswer: (x - 1)*(x + 1)**2*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i + 63 - 243. What is the hundreds digit of 78\/4*-33*i\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35139 and 6201.\nAnswer: 105417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82624183073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 - (-8 + -73) - (21 - -1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -8*n - 34 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 25. Suppose -g*x - 60 + 70 = 0. Suppose -x*l = 5*n + 5, -2*l - 3*n - n = 0. Put -2, l, 2, -3 in descending order.\nAnswer: l, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*a*f**2*v**2 - 2*a*f**2*v - 6*a*f**2 - 3*a*v**3 - f**2*v**2 + 2*f**2 + 4*v wrt v.\nAnswer: -62*a*f**2 - 18*a*v - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210623 (base 7) to base 2.\nAnswer: -1000010010100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 53095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 6*c - 9. Let o be n(-8). Suppose 1 = 2*a - o. Calculate the smallest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 35. Let x = -126370.86 - -126439.85959. Let k = h - x. What is k rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 - 3*h - 5. Let v be o(-2). Suppose 0 = -4*b - 0*b + w + 12, 0 = 3*b - 2*w - 9. Put b, 4, v in ascending order.\nAnswer: b, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -943 and -5179.47?\nAnswer: 4884240.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 606 in 2\/9, 4.31, -2\/5?\nAnswer: 4.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 2712204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35121*s - 35121*s - 3*s**2 + 4*s**2 + 6*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*y - 0*y + 8*y + 27, -3 - 142 = 29*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7.086+13015.8252\nAnswer: 13022.9112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -411.2 - -411.3. Which is the nearest to -0.2? (a) p (b) 2\/7 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 18.000031. Round u to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18850 and 23049?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2133*g**2 + 54*g + 3. Let y be i(2). Calculate the greatest common divisor of 129 and y.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-5) - (2258\/(-170) + -2). Let b = n + -74\/5. Is b <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*c - 4. Sort 2, 4, c in decreasing order.\nAnswer: 4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116817 by 87.\nAnswer: 38939\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -557.343 + 557. Let g = 0.043 + k. Which is the second smallest value? (a) 1 (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 805 - -649. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -6*h. Solve 3*f = -4*v - 19 - h, -11 = 3*f - 4*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5043 + -4450?\nAnswer: -12523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 41. Let n(u) = -u + 1. Let y(b) = 4*n(b) + p(b). Let r be y(8). Suppose r*v - 5*v + 4 = 0. Solve -3*q = 3*t + v*t - 6, 2*t - 15 = 3*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 1 = -5*t - 6, 0 = -3*t - 4*o - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4*4\/2. Calculate the greatest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107635*u + 29 - 43113*u - 29.\nAnswer: -150748*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1033\/3835 - -5\/59. What is the common denominator of x and -31\/2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 2106?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 7 + q - 7)*((0 - 4 + 1)*(-9089 + 9089 - 75*q) + 0*q + 3*q - 6*q).\nAnswer: 222*q**4 + 222*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -0*r + 3*r + 4. Solve 0*p = r*p - 90 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7970232 is divided by 4810.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y + 2*y - 15*y + 48*y + 2*y**2.\nAnswer: 2*y**2 + 82*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 2057.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**41\/(z**(-3\/5)\/(z**(5\/7)\/z*z)) assuming z is positive.\nAnswer: z**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.4 and 0.25.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 - 51*c**4 - 333*c**3 - 1041*c**2 - 1560*c - 900 = 0 for c.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5\/2 (b) -4\/19 (c) 1 (d) -1\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 52*f - 240. Let d be g(-20). Let k(u) = u**3 + 6*u**2 + 2*u + 5. Let t be k(-6). Which is the closest to d? (a) -4 (b) t (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 153, 339, 643, 1101?\n\"Answer: 6*o**3 + 5*o**2 + 47*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3\/7, -49, -1, 0.4.\nAnswer: -49, -1, 0.4, 3\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372964.\nAnswer: 2, 93241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528656.\nAnswer: 2, 3, 31847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66067, -132228, -198389, -264550, -330711?\n\"Answer: -66161*x + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 24*y**2 + 11*y**2 + 0*y - 15*y**2 + 135.\nAnswer: -28*y**2 + y + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 80400005 = -0*h + c, 25 = 5*c. Round h to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = 0. Suppose u + r*u = 4. Suppose u*y = -y + 10. Which is greater: 6\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366350 is divided by 1489?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 10*s - 4*d + 44290, -5*s = 2*d - 221414. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -34. Let l = r - -13. Suppose -l*y + 1076 = 4*t, -5*y + 299 = -4*y - 5*t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 70. Suppose -4*y - 4 = -2*n, 3*y + 2 = -3*n - 1. Suppose n = -3*d + 2*d + 20. Solve 5*h - d = -f*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbs when three letters picked without replacement from ybsynnbbspssnb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 13\/6, -7, 0.03, 21\/17, 0.5?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + 5*y - 7. Determine b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -25*y + 40 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3014*t**2*u**2 + 5247*t**2*u - 105*u**2 - 121871 wrt t?\nAnswer: 6028*t*u**2 + 10494*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 130218.\nAnswer: -130216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + 70. Calculate the remainder when (-2)\/(4\/s*-3) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s + 11 - 31 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9819)\/(-2) + 76\/8 + -10?\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-330)\/(-204))\/11*6 - 1. Let y = -1.7 - 0.8. Let t = y + 2.46. Which is the biggest value? (a) -2 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 4, r: 7, v: 1, i: 1}. What is prob of picking 3 j?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2056376 or 2056642?\nAnswer: 2056642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (14\/252*9)\/((-143)\/(-44))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2 - 2 + 2)*(0*g**2 - 2*g**2 + 4*g**2).\nAnswer: -4*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*d + 20 = 0, -y - 13 = -0*y - d. Let s(l) be the third derivative of l**6\/120 + 2*l**5\/15 - l**4\/12 - 5*l**3\/3 + 220*l**2. Give s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 186 = 4*s + 202, 3 = 3*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-21) - (-6)\/(-21). Suppose -7*a + 4*a + 60 = w. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -233, -363, -477, -575?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -443676 and -443695 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 53269*a + 1704609. What is v(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43236*j**4 + 222589.\nAnswer: -172944*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.165068 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-1 - -2) + (117 - 8).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 40624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -330821 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 847008*g**2 - 847013*g**2 - 7 + 4*g + 6 + 3*g**4 - g**3 + 2*g to the form o*g + b + k*g**2 + m*g**4 + f*g**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*31.\nAnswer: 5.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -389, -127, 589, 1987, 4295?\n\"Answer: 38*q**3 - q**2 - q - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 4*d + 0*d**2 + 2*d**2 + d**2.\nAnswer: d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -434, -3?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igiiiiiiigiiiiiiii. Give prob of sequence ggii.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 + y + 12. Let r be (2 + -5)\/((-3)\/(-2)). Let o be 0\/(((-30)\/(-20))\/((-3)\/r)). What is x(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:02 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8405\/270 + -35 + 4\/(-54) and 113\/16090.\nAnswer: 144810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 199*s**7\/7 - s**4\/4 + 3451*s**3\/3 + 3361. Find the third derivative of h(v) wrt v.\nAnswer: 23880*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/19*3\/((-42)\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0048 - 7.1148. Let x = g - -0.11. Let b = 2.5 + -0.5. What is the third biggest value in b, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 172 = 4*x + 3*i, 3*i = 5*x - 207. Let q be (43 - (-3)\/(12\/(-8))) + -2. Is x at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 13 - 4. Let m = 6 + -3. Let w(o) = 0 + o**m + 2 - 6 - 3*o - 2*o**n + 6*o**2. Give w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let x(o) = -2*o - 2. Let z(w) = -119*w - 238. Let i(n) = 595*x(n) - 5*z(n). What is i(l(m))?\nAnswer: 1190*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11177175 is divided by 72579.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:05 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2097.5 and -930.\nAnswer: -1950675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/3)\/(174\/58).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:42 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**4 + 20*j**3 + 779*j wrt j?\nAnswer: 120*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-65) - 46\/(-13). Suppose 12 = -t + 3*d, 3*t - d + 4 = -t. Sort t, b, 32 in decreasing order.\nAnswer: 32, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*v + 18*v - 39*v.\nAnswer: -117*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/(-325))\/(-7)*(-3 - (-58)\/18).\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*t + 18, -3*l - 3*t + 74 - 20 = 0. Calculate the greatest common factor of l and 774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -6. Let g be 6*s\/16 - (-9)\/(-6). Solve 5*f = 20, g*f = -i - f + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 225626 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 4*b + 2. Let x(p) = p + 9. Let a be x(-8). Let z(w) = -w. Let f = 6 - -10. Let l = -12 + f. What is a*s(t) + l*z(t)?\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*v**3 - 440*v**3 - v**2 + v**2.\nAnswer: -729*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 466820.66 rounded to the nearest 100?\nAnswer: 466800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1811.9 + 1812. Which is the biggest value? (a) 0.5 (b) u (c) -5 (d) -628\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 200128, 400252, 600376, 800500, 1000624, 1200748?\n\"Answer: 200124*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/2520 + r**5\/40 - 5*r**4\/24 - 3*r**2. Let q(x) be the second derivative of p(x). Calculate q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/28)\/((-6)\/(6 + -30)). Let w be (-4)\/10 - 14\/(-10). Suppose -2*d + w + 1 = 0. Put 2, d, v in increasing order.\nAnswer: v, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 119, 117, 115, 113, 111, 109?\n\"Answer: -2*x + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 10. Let d(z) = -z - 6. Let v be d(-4). Let s be (1\/v)\/(4\/(-80)). Let r be f(s). Solve g + r = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/11 and -44\/401635?\nAnswer: 4417985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 2988*j**2 - 117120*j + 1163200.\nAnswer: -2*(j - 1454)*(j - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2123724?\nAnswer: 19113516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.5041 * 7.209.\nAnswer: 39.6790569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 243 in 10, 2\/9, -2\/5, -1, -2\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**4 + w - 13*w**2 - 5 + w**4 + 3*w**4 + 9*w**3. Let q(n) = -5*n**4 - 13*n**3 + 19*n**2 - n + 7. Let g(k) = -7*o(k) - 5*q(k). Solve g(c) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35827 or -35748?\nAnswer: -35827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -150. Does 12 divide t\/(-2)*20\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215800 is divided by 735?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22840445.\nAnswer: 5, 4568089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*m + 20 = 0. Suppose j - 3*d = 9, -j - d + 0*d + m = 0. Suppose 0*x = -j*x + 48. What is the remainder when 23 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 6, d: 6, n: 4}. Give prob of picking 2 s.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 123*o**6\/40 + o**4\/24 - 173*o**3\/2 - 15*o**2. What is the derivative of r(n) wrt n?\nAnswer: 1107*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056.9781 to the nearest integer.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8919284840 to the nearest integer?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529548329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 28. Suppose 2*l - 53 = -n*s, 78 = 3*l - 5*s - 30. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.443782 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 90, 203, 362?\n\"Answer: 23*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -10?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 3:17 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20600 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 0.05 (b) 3\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 398903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/14 and 37\/91.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 636 - 245 + 722 + 1054*q + 392*q + 221 wrt q.\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c - 2. Let i(t) = 2*t + t - 4*t. Let f(l) = 4*i(l) + x(l). Determine f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5032 - -2?\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 21 + k)*(-2*k - 1 + 1)*(-4 + 2 + 1) + (-2 - 5*k + 2)*(10384 - 10384 + 37*k) in the form p*k + b + d*k**2 and give d.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 0. Let s(a) = 17 - 8 - 15*a**2 + a**3 - 2 + 9*a**2. Determine s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggzzgzgg. What is prob of sequence zg?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.058 - 0.878. Let u = 1.22 + y. Let j = -16 + 14. Which is the closest to 0.4? (a) u (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-320)\/224*(-35)\/25. Let u(h) be the second derivative of -h + 0 + h**3 + 25\/2*h**a. Find the first derivative of u(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k**3\/3 - 14*k**2 + 2*k - 77. Suppose -2*m - 3*h = -29, -4*h + 0 + 48 = 4*m. Let d be i(m). Solve d*n - 4 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-10))\/(1\/(-2)). Let q(p) = -p - 7. Let t be q(-10). Let g be (-15)\/(-18) + 2\/t. What is the nearest to 1 in -4, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*n + 11 = -2*j, 0 = -4*j + n + 33. Suppose 5*g - 3*r + 2*r - 257 = 0, -5*g + 5*r = -245. Let l = 158\/3 - g. Which is greater: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 * 1.6\nAnswer: 134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -24 (b) 2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 19*m - 17*m - 38657 = 0, 0 = 4*w - m - 154700. List the prime factors of w.\nAnswer: 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423707, 847416, 1271125?\nAnswer: 1694834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**2\/7 - 67692892*q\/7 - 22564298\/7.\nAnswer: 2*(q - 11282149)*(3*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004094 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12586 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 10*z**2 - 7*z - 7. Let c be i(9). Let n = c - 9. Solve n*m = -5 - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -24. Suppose -2*r - 4*l = 24, r + j = 5*l + 23. Is 163 + 1*0\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299 - 294. Solve 9 = -w*h + 4, 3 = -5*d - 3*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/296 and (-117)\/(-48)*12\/36*-6?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/7 - -4\/7. Let a = -0.05 + 2.55. Let o = a - 0.5. Put i, -5, o in decreasing order.\nAnswer: o, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7270\/11 - -21821\/33. Let c be 18\/15 + 1\/(-5). Is c >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = 3*y - 4, -4 = -4*y - 4*h. What is the tens digit of (y\/(-24)*-3)\/(2\/236)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215581, 215580, 215579, 215578?\nAnswer: 215577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13222 (base 4) to base 8.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, k: 7}. Give prob of sequence knn.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -133 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**25\/z*z)**(14\/5)*z**3\/z**(-3\/17) assuming z is positive.\nAnswer: z**(1244\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3566*d**2 - 1587*d wrt d.\nAnswer: -7132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -t, -15 = 5*d - 5*t. Let f(q) = 0 + 3*q + 2*q**2 - 4 - 2 + d. Calculate f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(-41)\/(b**1\/b)**(-3\/2))**(-11\/8) assuming b is positive.\nAnswer: b**(-451\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g - 52. Let q be f(-7). Suppose -4*x + q = 132. Let a(w) = w**3 + 25*w**2 - w + 26. What is the remainder when a(x) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2351*g**3*u - 12*g*u**3 + 10*u**3 - 887*u - 4 wrt g?\nAnswer: 7053*g**2*u - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4403 and 4625?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2084 is divided by 291?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) -0.1 (b) 41 (c) -314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z - 44. Give n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d**2 + 8*d**2 - 8*d**2)*(-5 + 4 + 0) + 2*d**2 - d**2 + 0*d**2 + (2*d**2 - d + d)*(2 - 3 + 3).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -25. Solve -b - 4*l = t, 2*l - 2 = -8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14652 and 6006.\nAnswer: 1333332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, -0.2, 0.81?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 709 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1415 (base 6) to base 10\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 e when three letters picked without replacement from {y: 4, e: 1, f: 2, p: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from nninnnnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 4\/((-8 + 4)\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/9 and 20\/207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 8:50 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 20 - 16) + -23 + 7 + 142?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (4 - -5) + -1 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/8 (b) -1 (c) -1\/9 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18360620 or 18360631?\nAnswer: 18360620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) + (-7777)\/(-10908)*-18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00279228182 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let v be (-4 - (0 - 3))\/(3\/(-588)). Suppose 90*p - 118*p = v. Sort h, p, -4, -0.3 in descending order.\nAnswer: h, -0.3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 14 + 3 = -14*l - 2*c, l = 63*c - 509 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6050, -6162, -6274, -6386?\n\"Answer: -112*g - 5938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3464568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24683, -14.\nAnswer: -24683, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63, -136, -219, -312, -415?\n\"Answer: -5*j**2 - 58*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-1 + 4 - 4)*(-4 + 2 - 3)*(-18 + 18 + 10*l).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (8 - 15 - (1 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehofvepfffofh. Give prob of picking 2 f and 1 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422141 (base 5) in base 7?\nAnswer: -152335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518713157.\nAnswer: 518713157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(2\/(-3)). Let x(o) = -58*o + 807. Let c be x(14). Sort c, r, 0 in ascending order.\nAnswer: c, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.59+-20456050\nAnswer: -20456050.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, -85, -125, -165, -205, -245?\n\"Answer: -40*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*h - 35, -3*o = 3*h - 2*h - 21. Let j(z) = -1 - h*z + 5 - 5*z**2 - 1 - 2. Let t(q) = 4*q**2 + 3*q + 2*q - 1 + 0*q. Calculate -5*j(p) - 6*t(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 36*n. What is the lowest common multiple of f(5) and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -14 (b) 6\/4523 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361831825 and 9112?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-26))\/(12\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 748764527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gkkgkkgkgkkgkkkkgk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/30*-3)\/((-28)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -339, -678, -1015, -1350, -1683?\n\"Answer: n**2 - 342*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 + -2. Let v = 0.847 - 1.847. Put v, -2, 7, r in descending order.\nAnswer: 7, r, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-2268)\/(-1232))\/27).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-29)*d**(2\/5)\/d**(5\/2) assuming d is positive.\nAnswer: d**(-311\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -h - 9, 2*h - 4 + 1 = -p. Let t be (4\/6)\/((-1)\/p). Suppose f = -2*o + t, f = 6*f - 3*o + 55. Sort f, 2\/7, 1 in ascending order.\nAnswer: f, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5 + 600 + 399*x**2 - 11308*x - 15*x**3 + 25053*x - 27*x**4 - 12755*x = 0. Calculate x.\nAnswer: -5, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let s(b) = -b**2 - 2*b + 1. Suppose -h = 5*o + 26, 4*h = -5*o + 14 - 43. Let z(k) = k**2 + k. Give h*s(y) + q*z(y).\nAnswer: -y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 547*o**3 + 20607*o**2 - 138303*o + 214758.\nAnswer: -(o - 582)*(o - 3)**2*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22290*w**5 + w**2 + 5888*w.\nAnswer: -1337400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/(-140)*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6*(v\/v**(6\/7)*v)\/v*(v\/v**(-1\/4)*v)**31 assuming v is positive.\nAnswer: v**(2125\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268014098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.8. Let w = 297 + -292. Let r = -271\/5 - -54. What is the closest to m in w, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + 3 - -4 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4774045159.12 - -4774045365.420001271. Let w = p + -206.3. Round w to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 + 160.21. Let y = q + -159.5. Which is the third biggest value? (a) y (b) -0.5 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - 7*q. List the prime factors of d(5).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q + 3. Let c(g) = -12*g + 4. Let w = 5 - 1. Let h(r) = w*c(r) - 3*d(r). Let b(x) = 13*x - 10. Give -5*b(z) - 7*h(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*a**2 - 5*a**4 - 10*a + 6*a**4 + 19*a**4 - 15*a**3.\nAnswer: 5*a*(a - 2)*(a + 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**15 assuming b is positive.\nAnswer: b**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*q*w - 5262*l*q + 2*l - 1848*q*w with respect to l.\nAnswer: q*w - 5262*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*s - 2 = 0, -6*h + h + 20 = -5*s. Suppose -u = -h*u + 190. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 145068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 5*k + 3. Let f be l(-6). Let o = -0.256 + 0.056. Which is the second biggest value? (a) f (b) o (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(3)*1 + 2*sqrt(192) + sqrt(3) - (sqrt(3) + -1 + 3 + ((1*sqrt(33) + sqrt(33))\/sqrt(11))**2)) + 3.\nAnswer: -11 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34244 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/((-216)\/18))\/((-5)\/(-4)))\/(160\/(-3000))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (5 + sqrt(5) + 2) - -3*(sqrt(20)\/sqrt(4))**2) + ((sqrt(320) + -1 + sqrt(320))*3 - sqrt(320))**2.\nAnswer: -240*sqrt(5) + 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 2*u**2 - 194*u + 87*u + 107*u + 38.\nAnswer: 2*u**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/239 - 1185\/478. Let k(s) = -s**2 - 2*s - 1. Let y be k(-1). Let m = 0.5 + -0.4. Which is the closest to m? (a) g (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - 612\/14. What is the units digit of 4\/((-140)\/g + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 792638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34821632 and 5336.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*x + 5*u - 40, 0 = -4*x + 5*u. Let o = -2 - -5. Suppose -2*z + 2 = -3*z + o*d, d = -4*z - 21. Sort z, -1, x in decreasing order.\nAnswer: x, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -9. Let p(k) = -k**2 + 4. Let z be p(m). Let w(f) = -f**3 - 4*f**2 + 5*f + 6. Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.1125 + 0.0275. Let t = 6.4 - p. What is t rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 218*z**2 - 15 + 114*z**2 + 12*z - 333*z**2. Give k(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 + 5*r**2 - 4*r - 20. Let x(w) = 5*w**3 - 9*w**2 + 7*w + 41. Let l(g) = -7*d(g) - 4*x(g). Suppose -11*b = -19*b. What is l(b)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 + 8\/5. Let v(r) = 0*r + 0 - 2*r**i + 1 + 2*r. Calculate v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2 + 4. Is 14 + -3 - (-2 - h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((2 - 3) + (-27)\/(-9)). Let j(s) = 2*s**3 + 9*s**2 + 2*s - 6. Calculate j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 4*z + 20. What are the prime factors of (-3 - 34\/z) + (-4046)\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. Let n(j) = 5*j + 15 - j**2 - 11 + 2*j**2. Let x be n(-5). What is b(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16287*x - 16310*x - 715*x**2 + 32592*x to m*x**2 + c + o*x and give m.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f - 39. Let x = -126 + 114. Let a(c) = 80*c**3 + c**2. What is the remainder when a(1) is divided by p(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:08 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 109 (b) -13035 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.037187 centuries to millennia.\nAnswer: 0.8037187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 6e14?\nAnswer: 6e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 106. Let y be p(26). Solve 2*k + 23 = 3*s, 5*k = y*s - 0*s - 30 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17644, -17583, -17560, -17593, -17700?\n\"Answer: -3*z**3 - z**2 + 85*z - 17725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 2*y - 2. Suppose -5*j + 1 = -4. Let l = -1 - j. Calculate o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -502*o**2 + 2*o - 38. Let d(k) = -1004*k**2 + 3*k - 69. Determine -5*d(g) + 9*t(g).\nAnswer: 502*g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29442224 is divided by 922.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 5528ce?\nAnswer: 5528d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10630*p**6 - 14*p**4 + 2*p**2 - 5400794 wrt p.\nAnswer: 1275600*p**3 - 336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 4 + sqrt(405) + -2*(sqrt(405) + -1)**2 + (0 + (1 + sqrt(405) - sqrt(405)) - sqrt(405) - sqrt(405)) + -5.\nAnswer: -817 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 652, 2671, 6052, 10789, 16876, 24307?\n\"Answer: -j**3 + 687*j**2 - 35*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-42)*(6\/(-12))\/((-6)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q**2 + 12*q - 105*q**2 - 16*q**2 - 112*q + 57*q**2 + 4*q.\nAnswer: 2*q**2 - 96*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -363675?\nAnswer: 29094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38828413 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -94, -58, 28, 158, 326, 526?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270013557 and 5588.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 229*o + 0*o**3 + 1 + 2*o**3 - 1 - 247*o.\nAnswer: 2*o*(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 921*w**3 - 878*w**2 + 2*w + 2402010 wrt w?\nAnswer: 5526*w - 1756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 213*q**5 + 250*q**4 - 250*q**4 + (-3*q**2 + 3*q**2 - q**2)*(-q**3 + 0*q**2 + 0*q**2).\nAnswer: 214*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 445 = 5*x - 435, x + 2 = -z. Put -5, 1, 3, z, -4 in increasing order.\nAnswer: -5, -4, z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u. Let p be o(4). Suppose -2*k + 6*k - p = 0. Let r be (-7 - k\/(-2))\/(-1). Solve 8*c - 3*c = 5*g - 5, g = 4*c - r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose -5*v = 4*a + 15, c*a + 21 - 6 = 0. Is 2\/9 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.92 + -15. Let v = -4.92 + w. Let u = -0.2 - 0.3. What is the third smallest value in u, -1, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.103 and -726.\nAnswer: 74.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -215 from 1358.29632.\nAnswer: 1573.29632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26334662 (base 7) in base 15?\nAnswer: -329b5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Let f(j) = 55*j + 3. Let r(s) = 106*s + 0*s + 2114 - 2109. Let y(o) = -10*f(o) + 6*r(o). Determine l(y(q)).\nAnswer: -14792*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85511\/38500 - 94\/875. Calculate the common denominator of -89\/84 and s.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, v: 6}. Give prob of sequence zzvz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28571301?\nAnswer: 3, 11, 41, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i + 3. Let o be u(2). Let v be ((-3)\/o)\/(1\/9). Find the second derivative of 4*q**2 - v*q - 29 + 29 wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140688, 140699, 140712, 140727?\nAnswer: 140744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-5*d - 4*d**4 + 5*d) - 4 + 1946*d**2 + 2*d**4 - 968*d**2 - 975*d**2 + 10*d**3 to z + p*d**2 + t*d**3 + u*d + f*d**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31307 - -344375\/11. What is the second biggest value in -195\/8, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 19*m - 8. Give r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/((sqrt(10)*2)\/sqrt(5) - sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15\/19 - -233\/247. Let y = 71.8 - 72. What is the nearest to -5\/2 in 1\/2, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 60. Let d = 68.7 - q. Let p = d - 4. Which is the nearest to 1? (a) p (b) 3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 4772*c - 4768.\nAnswer: -4*(c - 1192)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -170*w**2. Let v(f) = -3129*f. What is r(v(m))?\nAnswer: -1664408970*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6308136)\/(2 - -2) + 1. Let h = l - -4577033. What is h rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1358 or 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.286678 and -0.2.\nAnswer: -0.0573356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 2*o**3 - 2 + 1)*(143 - 74 + 26).\nAnswer: -190*o**3 - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(4*sqrt(6)))\/(sqrt(21)\/(sqrt(56)\/sqrt(8))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 3*l - 5. Let k(f) = f**2 - 3*f + 4. Let s(g) = 4*d(g) + 5*k(g). Is s(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*n - 761 = 388, 0 = 5*j - 3*n - 2841. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 5439?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 4*g - 4. Let t be b(2). Suppose 2*q - 22 = -4*p, 3*q + 2 = 5*q. Solve t = 6*m - m + p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -143*q**2. Let a(s) = -s. Determine z(a(d)).\nAnswer: -143*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -13)*-1 - -2. Let o = j + 13. Let c = o - 1. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464023882 divided by 6?\nAnswer: 910670647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1202? (a) 2\/99 (b) 1 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = -13, 0 = 3*k - 5*m - 29. Suppose 0 = k*l + 4*a - 318, -8*a = -l - 6*a + 96. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o**2 - 10*o + 19. Let f(k) = 7*k**2 + 5*k - 10. Let z(b) = -11*f(b) - 6*m(b). Let u be (-6)\/8*4\/1. Give z(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283774404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, 1, 3, 40\/2151?\nAnswer: 40\/2151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84945970 is divided by 1797.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) -16 (d) 168 (e) 1\/6 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -3. Let w = 3270 - 3262. What is the common denominator of 139\/42 and w\/p - (1 - 381\/18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 331*d + 1252. What is i(-7)?\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4217 + -63292\/15. Let s = -119\/43 + 3092\/387. Find the common denominator of x and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*g**2*i**2 - 2034*g**2 + 2*g*i**2 - 22*i**2 + 2*i wrt i.\nAnswer: -42*g**2 + 4*g - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**2 - 16*q + 3. Let k(j) = -4*j**2 - 8*j + 2. Let g(y) = 3*f(y) - 5*k(y). Let n be g(-7). Let v = -4 + n. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126812 = -25*c + 127112 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ana when three letters picked without replacement from nnazaaanaaznnaa.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*w - 9 - 12 = 0, 21 = 3*h + 4*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 148, -4\/11, 4823?\nAnswer: 4823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o**2 - 3*o)*(-2*o + 2*o + 2*o)*(-2 + 8 - 2)*(4 - 1 - 2).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9831*v - 297 = -9864*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 701\/(-37) + 44 + -10 + -15?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 157 + 150*d**2 - 27*d**2.\nAnswer: 123*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(16296*m + 1 - 8534*m - 8352*m).\nAnswer: -1180*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9140, 10180, 11222, 12266, 13312, 14360, 15410?\nAnswer: 16462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -8*d - 22. Let g(x) = -x**3 - 8*x**2 - 5. Let t be g(-5). Let m = 104 + t. What is the remainder when m is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 66, -11, 1\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1372175\nAnswer: -3\/1372175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.643 + 0.043. Let t = -5.5 - w. Suppose 5*h - 28 = 3*m + 17, 4*h - 2*m - 34 = 0. What is the closest to t in -2, -4, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:38 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/4*g**5 + 1\/6*g**3 - g**2 + 0 - 1\/12*g**4 + 0*g. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0 + 22*d**2 + 0*d**3 - 5\/24*d**4 - 1\/12*d**5 + 0*d. Factor j(g).\nAnswer: -5*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 18, 31, 50?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 30 = 5*n. Let r(x) = 574*x - 19. Let t(f) = -478*f + 18. Let b(d) = 5*r(d) + 6*t(d). Let q(w) = 2*w + 14. What is n*q(y) - 7*b(y)?\nAnswer: -2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-10))\/(13\/(-5)). Let y be 1 - ((-14)\/4 + 2 - -2). Let w be (18\/10 - 2)\/1. Which is the nearest to y? (a) w (b) 3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**3 + s**2 + 3*s - 2. Let g(h) = 6*h**2 + 156*h + 2. Let m be g(-26). Let r(b) = -6*b**3 + 2*b**2 + 3*b - 3. Give m*r(t) - 3*z(t).\nAnswer: 3*t**3 + t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38654378*x**3 - 12808*x**2 - 397 wrt x.\nAnswer: 231926268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 + (-424)\/(-36). Let t = n - 9. Suppose 0 = -3*v + 2 - 5, t*x + 5*v - 22 = 0. What is the smallest common multiple of x and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(125) + 0) + ((-2 + sqrt(180))**2 - 2*sqrt(5)*4).\nAnswer: 48*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-35))\/(1\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1\/2*b**3 - 3\/2*b**2 + 12*b = 0. Calculate b.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3048 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 19862232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-6)\/24 + (-1264)\/(-192) + 5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:26 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418664853.\nAnswer: 3, 577, 80621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19*24\/2508*66\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/16 + 10\/4 - -69. Let n be q\/5*(3 - -2). Suppose -n = -15*j + 229. Calculate the smallest common multiple of 6 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {d: 4, w: 4, f: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/(12\/(-21)*1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 3*u. Let i(j) = -1 - 1 + j**2 - u - 5*j + 2. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 86*r**2 + 839*r - 1518. What is l(-95)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n - 3*m - 712, 0 = n - m - 179. What is the highest common factor of n and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -3*h**8\/112 + h**7\/14 + h**6\/24 - h**5\/4 + 2*h**3\/3 + 3*h**2. Factor a(m).\nAnswer: -(m - 1)**3*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 514*f - 5. Is g(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336094664 to the power of 1\/2, to the nearest integer?\nAnswer: 57759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 132 in 181, -1, -0.4?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-11 + 14 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12 - (-3 + 2\/(-3)). Let u(f) = f**3 - 30*f**2 + 33*f - 120. Let p be u(29). What is the nearest to -2\/7 in z, p, 13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2198763333161579*r - 2198763333161581*r + 3.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.914 millilitres to litres.\nAnswer: 0.228914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693993 is divided by 23859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**2 - 614*q + 7667. What is i(-79)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -229 (b) 1\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -511 + 53*s**5 + 477 + 5*s**4 + 2*s**4 - s wrt s?\nAnswer: 1060*s**3 + 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*h + 3*p + 2044 = -49674, 4*h + 4*p - 230 = h - p for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5157, -20571, -46249, -82185, -128373, -184807, -251481?\nAnswer: -328389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1548575 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(-6)\/5*(-41)\/(2829\/(-3335)) is divided by 82.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.1215 days in minutes?\nAnswer: 783534.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, o: 1}. Give prob of sequence ko.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 24616 + 24614 - 49230.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 37*x - 154. Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47714149?\nAnswer: 7, 19, 358753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose 3 = -j*n - 13. Sort 2, -3, n in ascending order.\nAnswer: n, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-120))\/((3\/555)\/((-18)\/216))\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009445 rounded to 7 decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*i - 5, 5*j + 3*i - 15 = 4. Solve 2*n - j*t + 5 = 4*n, -3*t = 4*n - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -2*w. Suppose 2*r - 4*p - 54 = -3*r, -w = -p. Calculate the smallest common multiple of 8 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-129)\/(-1935)*(-15 - 0). Let r(h) = -h**2 + 4*h + 3. Calculate r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/1492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrbrrbbrrrbrrrrrr. What is prob of sequence rr?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1244, 4854, 10832, 19178, 29892, 42974?\nAnswer: 58424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/240 - a**4\/24 - 11*a**2. Let y(l) = 0. What is l?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/30*-5 - -57. Does 73 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -2. Let a = k + 15. Determine p so that -a*p**4 + p**2 - 14*p**3 - 5*p**2 + 3*p**2 - 2*p - 9*p**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3586620 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -69. Let h = -2 + g. What is the least common multiple of 7 and h?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = -192. Suppose d = 2*a - 36. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.06 - 0.86. Let d = 129 - 168. Let k be ((-3)\/(-4))\/(d\/(-91)). Which is the nearest to m? (a) -3 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d - 16. What is the least common multiple of 28 and b(-5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2 in descending order.\nAnswer: 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -9. Let p be (-2*3\/(-2))\/((-3)\/h). Suppose -2*f + 2322 = 4*d, -2*f - p*f = -3*d - 4622. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h = 59*h + b - 1250803, -3*b = 3*h + 938091. Round h to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:05 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3 + 6\/(-9)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396600 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1584) + 1 - sqrt(1584)) + -3 - (sqrt(1584) + 0)*5)**2.\nAnswer: 240*sqrt(11) + 39602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -30. What is the lowest common multiple of 24 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1881*j**2 + 521*j?\nAnswer: -3762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 75*k + 201 = -1311. Solve -35*v = k - 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 72.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -750*f + 738*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/(3\/(-32)). Is (1 + -9)*(-92)\/d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -43, -2, 84 in ascending order.\nAnswer: -43, -5, -2, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3029 + -3028.93. Which is the biggest value? (a) -0.1 (b) -1\/16 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 962\/4810*(-50)\/(-8). Solve -k - 1\/8*c**2 + 7\/8*c = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -5 (c) 1\/3 (d) -0.5 (e) 2 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*d*n**3*v**2 - 2*d*n**3 - 3*d*v**4 - 2*d*v - 2*n**2*v - 11*n**2 + n*v**2 wrt v?\nAnswer: -40*d*n**3 - 36*d*v**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 + -43?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214 - 215 - 2*d - 3*d)*(-3*d - d + 8*d).\nAnswer: -20*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9532792, -9532793, -9532794?\nAnswer: -9532795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**(-5\/8)*h\/(h\/h**(-1\/4))*(h**0*h*h)\/h*h*(h\/(h**2\/h))**(5\/2)*(h\/(h\/(((h\/h**(-7\/3))\/h)\/h))*h)\/h**(-1\/4) assuming h is positive.\nAnswer: h**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 + 372. What is the highest common divisor of 120 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 336\/49 + -7 - 197\/(-7). Suppose -3*z - n = -145. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101111111111?\nAnswer: -110000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428315 and 21315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 90, 106, 146, 216, 322?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(13) - (sqrt(13) + (sqrt(1573) + (sqrt(1573) - (1 + sqrt(1573))))**2)) + 2 + (sqrt(468) - (sqrt(468) + -3 - sqrt(468)))**2.\nAnswer: -74*sqrt(13) + 8353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 3*m = -41 - 7. Let d(n) = -10*n**2 - 2*n - 2. Let r(k) = k + 1. Calculate m*r(p) + d(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54009\/(-2349) - 2\/18. Which is greater: -23 or y?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x**2 - 351*x + 1058. Give o(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 7*l**2 - 5*l + 10. Let f be b(-6). Suppose -8*z + f*z + 280 = 0. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 485 = 5*g, 0 = s - g - 51 - 46. Suppose -95*r = -s*r + 28. Suppose -r*w + 1576 = -1028. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -530?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 642?\nAnswer: -63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - o + 142 = 0, 0*z + 82 = 3*z - o. Let u(x) = x**2 + x - 2. Let m be u(6). Let g = m - z. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514 a factor of 434656123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g)*(363 + 176 + 128 + 154)*(-1 - 1 + 5)*(0 + 2 - 13).\nAnswer: 27093*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1247, 2506, 3765, 5024, 6283, 7542?\n\"Answer: 1259*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22847869 and -3153365.\nAnswer: -26001234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.903646 weeks?\nAnswer: 2360925100800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(8) + (sqrt(168)\/sqrt(3))\/sqrt(7)) - (2 + (sqrt(162) + -1 + sqrt(162))**2 + 2).\nAnswer: -653 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -12. Factor 3*s**4 + 0*s**r - 7*s**4 - s**3 + 3*s**4.\nAnswer: -s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17088293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*l*u**2 - 41*l*u + l - 3*u**2 - 14690 wrt u?\nAnswer: 44*l*u - 41*l - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/9, 2\/9231, 0.524?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89006.452 rounded to the nearest ten?\nAnswer: 89010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/4*r + 1\/4*r**2 + 15.\nAnswer: (r + 5)*(r + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 199919007.\nAnswer: -199919007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3984816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.32 - 191.32. Let x = -189.00000524 - c. Round x to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -107. Suppose -4*n + 16 = -0*n - s, -4*s = -4*n + p. Let r(l) = -n*l - l + 12*l. Let k(i) = i**2. Calculate k(r(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*z - 133, z - 9*b = -13*b + 12. Solve -z = 4*s - 36 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 408 + -413. Let n(j) = -3*j**3 - 13*j**2 + 6*j + 4. Let c be n(t). Suppose 13 = f + 3*l + 1, 0 = 4*l. What is the greatest common factor of c and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1453752 = d + 3*d. Suppose -d = -6*x + 52596. Let y = -56661 - x. Round y to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 14. Let v = y - -9. Let j = -36.6 + 36. Which is the biggest value? (a) 0.2 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 - 3. Let a(y) = 13*y**2. Determine a(s(n)).\nAnswer: 1573*n**4 + 858*n**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 3. Let w be c(-3). Is 25\/(-1)*w\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725653 is divided by 862807?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 11, -760?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6775329?\nAnswer: 3, 11, 31, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**5\/25 - z**4\/10 + 12. Suppose g(x) = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4)\/m)**(-1\/2))**(2\/11) assuming m is positive.\nAnswer: m**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 18*f - 13. Suppose -3*m + i = 31, 10 = 3*m + 4*i + 36. Let q be g(m). Let k(w) = -w**2 + 7*w - 6. Give k(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.576973 millennia to years.\nAnswer: 4576.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 0*r**2 - r**2 + (-4 + 4 + 2)*(-r**2 + r - r) + 2*r**2 - 2*r**2 - 2*r**2 + (-3*r + 3*r - 2*r)*(-2*r + 6*r - 2*r) - 6*r**2 + 29 + 39 - 56.\nAnswer: -18*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 152 = 13*k. Suppose -n = -3*o - k, 4*o + 77 = n - 4. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 40.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t - 3\/14*t**7 - 1\/5*t**5 + 7*t**2 + 0*t**4 + 0*t**3 + 1\/32*t**8 + 9\/20*t**6 + 0. Factor p(d).\nAnswer: 3*d**2*(d - 2)**2*(7*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 36 = 4*g, -5*p - 30 = -4*g - g. Let s = p + 6. Let b = 4 - 7. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.38969781.\nAnswer: -0.77939562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -24. Suppose s - z*p - 1 = 0, 3*s - 5*p - 7 = -0. Put -1, 9, s in decreasing order.\nAnswer: 9, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 5*z**3 + 18*z**3 + 32*z**3.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - j + 12 = 0, 4*j + 9 = -o + 18. Calculate the remainder when 22 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 + 87. Let r be f(0). Suppose 5*z = -62 + r. Calculate the remainder when 2\/(-4) + 78\/4 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/6467 (b) 6 (c) 0 (d) 0.3 (e) -0.2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-44)*(-4)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/588*(7 - 0\/11) - 66\/3276.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/42883 and -52\/8113?\nAnswer: 300181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429402760 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*v**3*x**3 - 2810940*v**3 - 49*v**2*x**3 + 6*v**2*x**2 - 4*v**2*x - 2*v + 2*x**3 - 216*x**2 wrt v?\nAnswer: 258*x**3 - 16865640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - 16*o - 5. Give b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 + 7*g + 5. Let d be y(-4). Let o = 148 - d. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 987438 by 6.\nAnswer: 164573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 15*y + 1065. What are the prime factors of v(0)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*d**2 - 91*d**2 - 78*d**2 - 13*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -34520 greater than -34519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -243003122 (base 5) to base 6\nAnswer: -40242325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101947.\nAnswer: 97, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose 3*a - 3 = -2*q - 4, 5*a - 25 = 2*q. Suppose a*x - 3 = b. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 52*t - 261. Let j be g(5). Is 5\/2324 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + c)*(-1 + 2 + 0 + (7 - 1 - 3)*(-2 + 0 + 0) - 4 - 3 + 3 - 1 - 4 + 4).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, and 1 i when three letters picked without replacement from brrrwwrrwizzrrkbwrzw.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(4\/8). Let l(g) = -g**3 + 2*g + 1. Let k be l(d). Suppose k = 5*y - 3*y - 40. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 198*i - 45*i - 46*i + 94*i. Let l = 23 - 22. Is m(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/9, 0.1, -3, 0.5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44788969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*z + 7 = -s, 5*s - 3*z = 19. Suppose -2681 = -3*b - b + 3*r, -3*r = -3. Suppose 0 = -s*i + b + 1847. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + f - 4, -3*i + 3*f + 151 - 85 = 0. Let n = 3 - 1. Let x = 12 + -16. Put x, n, 3, i in ascending order.\nAnswer: x, n, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.5, 5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1716949 and 8584739\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2.02. Let g = 2 - i. Let l = -879 + 880. Which is the closest to l? (a) g (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(17) - sqrt(425)*4.\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/124271 and 14\/36039?\nAnswer: 109234209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2972*p**2 + p. Is g(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84670531, -169341065, -254011599, -338682133, -423352667?\n\"Answer: -84670534*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exex when four letters picked without replacement from {o: 4, e: 2, j: 2, h: 1, x: 5, n: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 36*n**2 + 24*n - 28. What is p(35)?\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/9 + 1028*y**2 + 6164*y\/3 + 9244\/9.\nAnswer: 4*(y + 1)**2*(y + 2311)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2552 = 4*x - 2936. Calculate the greatest common factor of 312 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 643024*d**3 + 368*d**2 - 12.\nAnswer: 3858144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202525*t**2 + 202378*t**2 - 404521*t**2.\nAnswer: 382*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -0.3 (c) 0.1 (d) -1\/2 (e) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 5*w + 460, -d + 3*w = 108. What is d rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 15907500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -14. Let a be 2\/m - 21\/(-9). Solve 2*o + 3*f = 7*f - a, -o + f + 2 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**6\/90 - 5*c**5\/12 + 2*c**4\/3 + 265*c. Solve z(h) = 0.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4 + 0*w - w**2 - w + 3 + 0*w. Let j be f(0). Let r = 1 + -2. Does r = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(112) - sqrt(112))**2 - (0 + sqrt(112))*6)*5.\nAnswer: -200*sqrt(7) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4763150 divided by -217?\nAnswer: -21950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 4*r + 8. Let d be u(3). Suppose 0*z + d*z = 219254. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1167887270 to the nearest one hundred thousand.\nAnswer: -1167900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 3. Let v(j) = 13. Let o(l) = -5. Let h(g) = 5*o(g) + 2*v(g). Give -d(w) + 4*h(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 25559?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/61, 1, -2.8, -3?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-570)\/(-14) - -3) + 4\/14. Let w be (r\/12 - 4)*1. What is the nearest to 0.2 in -2\/3, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2 - 4*r + 7. Let d(b) = b**2 - b + 1. Let m(v) = -6*d(v) + f(v). Let k be m(-1). Solve k = q - 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204973?\nAnswer: 7, 11, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(11\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185.102 + -5.\nAnswer: 180.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92388013 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3395459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r - 83*r**2 - 15*r - 20*r.\nAnswer: -83*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284664 = -829*o - 485*o - 1140*o for o.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249904 + 294*z**3 + 124949 + 124955.\nAnswer: 294*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 13 + 1. Let s be ((-3 - 2) + l)\/3. What is the closest to -1 in 0.2, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*h**3 + 256*h - 204574382 + 6*h**4 + 204574382 + 320*h**2 = 0 for h.\nAnswer: -2\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 381017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -66, 2 in descending order.\nAnswer: 2, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*g**3*o**2 - 3*g**3*o - 2*g**3*u + 342*g**2*o**2*u - 1976*o**2 + u with respect to u.\nAnswer: -2*g**3 + 342*g**2*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -41, -27, -9, 13, 39?\n\"Answer: 2*m**2 + 4*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035109 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 22*z**5\/5 + 2*z**3 + 7. What is the third derivative of u(r) wrt r?\nAnswer: 528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (9 - -1) + (-167 - -192)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 64*y - 71. Determine m(11).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 1174*v - 16.\nAnswer: 1174*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -230\/3. Let m be (-6)\/16*(-4)\/(-6). Let u = -33\/19 - -221\/171. Which is the biggest value? (a) i (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15147, -30383, -45619, -60855, -76091?\n\"Answer: -15236*y + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2014297*b*p**2 - 693685*b*p - 2*p - 2 wrt p.\nAnswer: -4028594*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/5*s**3 + 204\/5*s - 39\/5*s**2 = 0. What is s?\nAnswer: -17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2003365 - 5?\nAnswer: 2003360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*l - 41*l - 37*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + (-45)\/(-27))\/((-2)\/(-1074)) is divided by 56?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*x - 42 + 11, -k - 33 = 5*x. Suppose 2*o - 7*o - 3*h = 6, -5*o - 8 = 4*h. Let u be o\/x - (-8)\/(-14). Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -14530.\nAnswer: 2\/7265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 + 7 = 0. Let x(p) = -2*p**2 - 20*p**3 - 3*p**2 + w - p - p**2 + 19*p**3. Determine x(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/40 + (-2)\/10. Suppose m - 13 = 4*m + 5*y, 0 = -4*m + 2*y + 26. Let h = -115 + 114.9. Which is the nearest to i? (a) m (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4298?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -120140104 (base 5) to base 13\nAnswer: -164653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 39 - 21 = 0. Let l = -2 - -5. Let s = l + j. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10908, 43672, 98088, 174000, 271252, 389688?\nAnswer: 529152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4 in descending order.\nAnswer: 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 5) to base 14\nAnswer: 11d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 5*q**3 - 2*q + 2*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 51*u**2 + 48*u - 164. What is s(-50)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let i(d) be the first derivative of 38 + d + 1\/2*d**2. What is 2*i(v) - z(v)?\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(4608) + 1 + 4 + 0))**2.\nAnswer: 30720*sqrt(2) + 296512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + (-186 - 210 - 172)*(-6 + 0 + 5) + (4 - 3 + 0)*(-1 - 2 + 2))*((-4*f + 6*f + 0*f)*(-3 + 5 - 1) + 0 + 0 + 2*f + 2*f + f - 4*f).\nAnswer: 1698*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-331)\/(-2317)*(-7)\/17.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1. Let j = n + -0.3. Suppose 64*k + 2*k - 1899 + 2163 = 0. What is the smallest value in -2\/9, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210698 + 311698. Round p to the nearest one thousand.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -1\/4*m**4 - 28 + 8\/3*m**3 - 2*m**2 - 6*m. What is n(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from zrrczryryyyryyyrry.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -23. Let t = p - -8.948. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 7, o: 6, z: 1, r: 6}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:48 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 817171630 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 1)*(-1 + 1 + 3)*(-175 - 17 + 13) + (-1 - 1 + 0)*(-3*q + 3*q + q).\nAnswer: -1076*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 5*w + 2. Let i be m(-5). Suppose -12 = 3*c - 6*c - i*d, 2*d - 4 = c. What is the second derivative of n - 4*n**2 - 6*n**2 + 4*n**c wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -56. Suppose -467807 = -o*x + 294593. What is x rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, a: 12, b: 3, w: 2}. Give prob of sequence wa.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1394885 by -6.\nAnswer: -1394885\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.1943 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Let n = -57 - -56.6. Sort n, c, 0.1 in ascending order.\nAnswer: n, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, 0.1161, 0.5?\nAnswer: 0.1161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 110792?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19376)\/(-252) + -37 - 41.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.8 (b) -0.2 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 10.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from omovppoomovoovp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -11*g**4\/12 + 701*g**2 - 1. Let v(j) = -21*j**2. Give v(y(n)).\nAnswer: -10164*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*a**5 - 372*a**4 + 308*a**3 + 9684*a**2 + 12096*a + 3920 = 0. Calculate a.\nAnswer: -7, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26718 - -17159. Let x be (10\/15 + o\/(-21))\/718. Let z = 7\/359 - x. What is the common denominator of z and 143\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 4918752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/3))**(3\/7))**(4\/9)*((a\/(a**0*a))**(-36))**38 assuming a is positive.\nAnswer: a**(16\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 - 27*p**3 + 669*p**2\/2 + 868*p - 1176.\nAnswer: (p - 28)**2*(p - 1)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -6)\/70*(-6)\/8*145\/(-174)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1743095 - -2898905. Round j to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + 4*x**2 - 4*x. Let t = 17 - 13. Let o(w) = -6*w**3 - 3*w**2 + 3*w. What is t*o(n) + 3*g(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -36*n + 3588. Suppose 33*v + n = 35*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184 or -0.10106?\nAnswer: -0.10106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -262, -560, -966, -1474, -2078, -2772, -3550?\n\"Answer: x**3 - 63*x**2 - 2*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:19 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5. Let x(y) = -y - 20. Determine -9*p(t) + 2*x(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tivrg. What is prob of picking 1 g and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331\/2 - 168. Let i = -0.4 - -0.9. Which is the third smallest value? (a) -2\/9 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/8*(-12)\/15. What is the units digit of (-49)\/(-2)*n + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14629656 to the power of 1\/2, to the nearest integer?\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q**4 + 2\/3*q**5 - 27*q**2 + 0 - 19\/6*q**3 + 0*q. Differentiate r(y) with respect to y.\nAnswer: 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 - 182. Let x be (o\/14)\/((-15)\/(-14) - 1). Solve x*h - 9 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 26 = -7*h - 3*q, 2 = -q. Let p(z) = -z + 7. Let j be p(5). Suppose j*g - 40 = -0*g + 2*w, g - h*w - 12 = 0. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 12*j**2 - 26 + 14)*(4*j**3 - 3*j**3 - 2*j**3).\nAnswer: -12*j**5 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - (106\/(-9) - 0). Suppose 6 = -3*y + 5*i, 6*i - 2*i = n. What is the second derivative of -2*g**3 - 2*g + 2*g**y + 3*g**3 - g wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:08 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*u**2 - 12494*u + 12494*u + 71*u**3 + 28*u**2 + 35*u**2.\nAnswer: 71*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 8*c**2 - 5*c - 8. Let t(p) = 5*p**3 - 25*p**2 + 15*p + 25. Let j = 263 - 253. Let h(u) = j*x(u) + 3*t(u). Factor h(n).\nAnswer: 5*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530786237?\nAnswer: 13679, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Let s = t + -3. Let f = 0.4 - 0.6. What is the second smallest value in 3, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Solve -d = -0*d + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2853 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*s + 779*s - 19985 - 6195 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - (-6)\/5. What is the remainder when (6 - 3) + 65 - n is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**3\/y)*y**30*y**(2\/57)\/(y**17\/y*y))**(8\/5) assuming y is positive.\nAnswer: y**(5488\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-3)) + -2 + (-3*(sqrt(44) + -2) - (sqrt(44) + sqrt(2816)*1)**2).\nAnswer: -3560 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:24 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57338441*b**2*u**2 - 77169551*u**2 wrt b?\nAnswer: 114676882*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10429036 divided by 9?\nAnswer: 10429036\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3 = -5*b, -4*o - 6 = -26*b + 24*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291240 (base 10) in base 8?\nAnswer: 1070650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 + 0*m + 0*m)*(2*m - 4*m + m) + 4910*m + 10088*m**2 - m**3 - 10088*m**2 as i*m**2 + k*m + r + j*m**3 and give k.\nAnswer: 4910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376, 829, 1294, 1777, 2284, 2821, 3394, 4009?\nAnswer: 4672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) 0 (c) 163 (d) -4 (e) 56\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -445*y**7\/7 + 14*y**3\/3 - 3*y**2\/2 + 323. Find the third derivative of b(n) wrt n.\nAnswer: -53400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(66)\/sqrt(6)*5 + sqrt(121)\/(3*sqrt(11)))**2)*-3.\nAnswer: 5704\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15.81, 0, 14?\nAnswer: -15.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h**(-5\/3))\/(h*h**(-2\/3)*h**(3\/7)) assuming h is positive.\nAnswer: h**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, v: 4, q: 9}. What is prob of picking 2 v?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*r**2 - 182*r**2 + 81*r**2 - 6*r**3 - 3*r**3 - 104 + 2*r**3 wrt r.\nAnswer: -21*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 26760 + 10784 = 0. What is the highest common factor of s and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23629? (a) 0.1 (b) -5 (c) 0.003 (d) 2.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 90 = 3*g - 17, g + 5*v - 57 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*k + 8*k**3 - 21*k**3 + 3*k**3 + 59*k + 3*k**3.\nAnswer: -7*k**3 - 45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*t + 24467 + 25433. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 1. Let a(t) = 6*t**2 + 3*t - 3. Let s(y) = a(y) - 2*k(y). Let f be s(1). Let w(m) = -m**2 + 7*m - 7. What is w(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utttutttttt. What is prob of sequence tutu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clcdcclccllcc. Give prob of picking 1 d and 3 l.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 7:02 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) 1\/2 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805.448 weeks to minutes.\nAnswer: 8118915.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = 0, 3*g + n = g - 28032. Is g\/(-35) - (-6)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 8*z**2 - 6*z + 10. Suppose -5*i - 39 = -2*i. Let t = i + 6. List the prime factors of x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11255709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Let p(a) = -n*a - 3 + 6*a + 3. Let k(y) = -6*y**2. What is k(p(c))?\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 0*p**4 + 0*p + 4\/5*p**5 - 1 + 0*p**3 - 1\/2*p**2. Find the second derivative of a(x) wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 8 - 3)*(q + 2*q - q) - 17*q + 48*q + 88*q)*(-3*q + 2*q + 0*q)*(0 - 2 + 4).\nAnswer: -246*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/42)\/2*(-39)\/(-13).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019 * 4.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 179686 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 814 = 490. What is the remainder when 159 is divided by v?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 41*r - 5. Let p = -985 - -1098. Calculate the remainder when a(-4) is divided by p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h, -2*a + 2*h - 7*h + 38 = 0. What is the smallest common multiple of 9 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 - -191. Let f be (8\/(-40))\/(m\/(-30)*-4). Find u, given that -1\/2*u**2 - 1\/2*u + f*u**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + sqrt(132)*-1) - sqrt(132))\/(-2*sqrt(24)\/sqrt(2)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17418.16 hours in minutes?\nAnswer: 1045089.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d. Let b(u) = -3*u**2 - u. Let h(i) = -b(i) - n(i). Let j be (15\/(-9))\/(-1)*3. Let c(q) = j*q - 9*q + 16*q + q. Determine h(c(p)).\nAnswer: 338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.24956 to one decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 369 + -237. Suppose 8*g - 5*g = n. What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let d(o) = 18*o**2 - 17*o**2 - 2*o + 13*o**2 + 3*o + 0*o**2 + 1. Calculate d(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by ((-23)\/(-46))\/((-2)\/(-248)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 9*w**2 + 8*w + 3. Let x be r(8). Suppose -x*m + 20 = m. Suppose 3*j = 5*c - 500 - 56, -c = -m*j - 98. Round c to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 + 0.02. Let i = -28 - -27.44. Let s = -0.6 - i. Is x < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 39*y - 3*y**2 + 0*y**2 + 27*y**2 - 18.\nAnswer: 3*(y - 2)*(8*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9304?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*i*n*q - b*i + 13*b*n**2 - 2*b*n*q + 2*i*n**2 + 4*i*n*q + 2*n**2*q + 15*q wrt b?\nAnswer: -i*n*q - i + 13*n**2 - 2*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -5\/4 (c) 1071 (d) -7 (e) 2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*z + 55 - 9, 2*c - 5*z = 6. Let k(r) = 3*r + 33. Let o(i) = -i - 11. Let u(n) = c*o(n) + 3*k(n). Let g be u(-6). Solve -g*j + 4 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 1636*l**4\/7 + 19898*l**3\/7 + 18260*l**2\/7 = 0. What is l?\nAnswer: -11, -1, 0, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131758447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -775754724 divided by 107654\nAnswer: -7206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Solve 0 = 4*z - 4*m - b - 6, -3*z + m = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101100101010010 - 100?\nAnswer: -1010101100101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -0.0146.\nAnswer: 0.2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/12 + 2*j. Let w(p) = 80*p - 64. Let m(h) = 7*h - 6. Let d(i) = 32*m(i) - 3*w(i). Give f(d(n)).\nAnswer: -256*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 48 = -3*l. Calculate the common denominator of 77\/57 and (-2)\/l - ((-1406)\/240 - -5).\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 24, 1371\/11, 4, 3\/8?\nAnswer: 1371\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.299 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*a - 49 - 42, -4*c + 5*a = 259. Let g = 492 - c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 1, -27 in descending order.\nAnswer: 1, -21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -1*sqrt(300)) - (-5*sqrt(300)*2 + (sqrt(300) - (sqrt(300) + -3 + sqrt(300)*-2))))**2.\nAnswer: 1020*sqrt(3) + 2989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 (base 3) in base 2?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*n + 2 = 292*n - 6*j, 0 = -n + 2*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/8 - 1\/(-4). Let w = m + -1. Let l = 2011 + -2014. What is the nearest to w in 3, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/(q\/((q*q**3)\/q)))**(-27) assuming q is positive.\nAnswer: q**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125340\/(-14623))\/(15\/(-40)*4*1\/14).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000796 to 5 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 23864.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 6*j)*(3*j + 3*j - 4*j)*(7*j + 8*j + 6*j) + (0 + 0 - j)*(2*j + j - 6*j)*(0*j - 5*j + 4*j).\nAnswer: -255*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9880 by 2470.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -v - 15, 6*v - 99 + 250 - 126 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*30\/(-18*20\/240)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - s**2 - 5. Give k(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/14 and (13 - (-8562)\/(-648))\/(-1).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 14011?\nAnswer: 13440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 143968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 22 - (-61 + 25 - -26 - -19)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000989 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 43*w - 7. Let f be (-3)\/((-7)\/168*9). What is the tens digit of r(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3*c - 2*c**2 + 1\/4*c**4 - 4 + 0*c**3. What is d(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = y - 2605997, -4*y = -y + 9. What is d rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3740\/88*4\/10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-1) - (1 + -1). Solve 8 + 2 = i - 2*z, z = u*i - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzrmrzmzjjmmm. What is prob of picking 1 z, 2 j, and 1 r?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 164 = 4*a, 2*a + g = 76. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2166242 and 1859?\nAnswer: 23828662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1 - -2) + 2. Let n be (-19 + (-16)\/(-4))*-75. Suppose -2*h + 6*h - 1480 = g, 3*h = -w*g + n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26841, 52183, 77525, 102867, 128209, 153551?\n\"Answer: 25342*r + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26696.1867 to the nearest 10.\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25917 and 204686?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/6 - 1063033*i\/2 + 3189101\/3 = 0 for i.\nAnswer: -3189101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3557538 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 18554804 - 18554809 + 4*a + 2*a.\nAnswer: 9*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -1481382?\nAnswer: 1481397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3\/7 - 18462*g**2\/7 + 13892370*g\/7 + 478768950\/7.\nAnswer: 6*(g - 1555)**2*(g + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4116814 and 1522079?\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 62488254.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -817238 in increasing order.\nAnswer: -817238, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1290, 1263, 1234, 1203?\n\"Answer: -x**2 - 24*x + 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -13*q**4\/6 + 7*q**3\/6 + 3*q - 4. Let t(i) = -i. Determine b(t(l)).\nAnswer: -26*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 9) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 12*f - 14 - 1\/3*f**3 + 9\/2*f**2. Let g be w(10). Let h(d) = -2*d**2 + 2. Give h(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**3 - 5*t**3 - 10*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 1:51 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -779\/148 or 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170433.3 millilitres in litres?\nAnswer: 170.4333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 0.3 (c) -4\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -20. Let x be (-1)\/c*-2 + 650\/936. Factor -2\/9*n**2 + x*n - 2\/9.\nAnswer: -2*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 + v**2 + 1. Let t(u) = -u**3 + u**2 + 1. Let m(p) = 32*p + 30. Let r be 1 + 3*(-1 - (-3)\/9). Let w be m(r). Determine w*t(z) + 2*h(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.4 (c) 5 (d) 0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 107, -1050 in descending order.\nAnswer: 107, 2, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 155247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -407106 by -162.\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (179*w + 5 - 88*w - 88*w)*(1 + 3 - 2) to b + m*w and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/32)\/((-6)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 23. Let h = -6 + t. What is the highest common factor of 110 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-8) - ((-945)\/36 + 9). Let u = -1 - -19. Do b and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6390\/21*8 + (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38.6, -3, -1\/6, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*r + 1. Suppose r*p - 13 = t - 2*p, 3*t + 4*p = -1. What is the units digit of 8\/(-24)*t*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6307 and 1428?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -2.2. Let j = -2.3 + 2. Which is the third smallest value? (a) g (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*k + k. Suppose 4*i = -0*r - 4*r + 4, r - 25 = -5*i. Find the common denominator of (-13)\/i + 3 + 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712655, -712653, -712651, -712649, -712647?\nAnswer: -712645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 - 946*t + 110 - 34 - 37)*(-25*t**2 + 3*t**2 - 5*t**2) as j*t + x*t**2 + w + f*t**3 and give f.\nAnswer: 25542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g - g**2 + 8 - 1 + 1 - 4. Let x be q(7). Solve -3*f - x + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let z be (9\/6)\/((18\/(-8))\/3). Let v be 0 - (-5)\/((-35)\/z). Which is the nearest to 3? (a) -0.2 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -118*m**2 + 5890*m + 413. Give h(50).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33688 - 23107. Let b(w) = u*w + 25 - 10582*w - 8. Let k(d) = 2. Determine 6*b(n) - 51*k(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - 92 - (51 + -75).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 3, s: 1, o: 1, d: 2}. Give prob of picking 3 y and 1 s.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -106, -177, -248, -319, -390?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/m**4)\/(m*(m\/(m**0*m*m))\/m*(m*(m\/(m*m*m**(2\/9)))\/m)\/m) assuming m is positive.\nAnswer: m**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 678, -4\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -129806462 >= -129806464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258.829 - -258.6. Is w < 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c5 (base 16) in base 4?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 5*x + 5*q, -120 = -2*x - 2*q + 6*q. Is x\/279 - 8791\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 662 - 430. What is the least common multiple of 3828 and u?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let b(u) be the third derivative of -79*u**5\/10 + 237*u**2. Determine s(b(k)).\nAnswer: -474*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1493*j + 47096 = -131*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*z + 165*z = 2*i + 16636, -5*z + 5*i + 83185 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -23, 2\/23 in descending order.\nAnswer: 2\/23, -1\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415549278 to the power of 1\/3, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-1596) + (-13)\/84)\/(22\/(-8))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*8\/(-112)*4. Suppose -4*s = s. Suppose 4*x = -s*x. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let t be ((-3)\/2)\/(15\/(-130)). Calculate the greatest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2360 - -1657. Let h = j - -703.00297. What is h rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 67. Suppose -3 + t = -j. List the prime factors of (-12)\/(-8)*-2 - j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 667 + -630.7. Let t = 36 - y. Let m be (-52)\/14 - 2\/7. Which is the biggest value? (a) m (b) t (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 6 + -2 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 + 2*g**2 - g + 4. Calculate the lowest common multiple of 4 and v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 49 + 71. Suppose 2*r + 51 = 195. Calculate the highest common divisor of r and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 41. Let u(c) = 4*c + 21. What is -6*n(t) - 11*u(t)?\nAnswer: -2*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532\/608*12\/(-14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39\/(-26))\/(2\/(-4)). Suppose -n*r - 2 = -56. Calculate the remainder when 53 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 795, 1592, 2389, 3186, 3983?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75012)\/3384*(-21)\/98.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -5 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 20. Let h be p(0). Suppose 9*q - h = 11*q. Let i be 76\/(-10) + 4\/q. Is i at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 72*i**2 + 28. Let y(z) = -13*z**2 + 0*z - 5 + 0*z. Let w(r) = -5*s(r) - 28*y(r). Let m(f) = 43*f - 24*f - 21*f. Determine w(m(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -71.68.\nAnswer: -73.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 148*q + 2807. Let f be d(17). Let 8\/5*n**f + 4\/5 + 12\/5*n = 0. What is n?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -12. Suppose 3*v - c - 155 = 0. Calculate the remainder when v is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/7 + 3972*q**2\/7.\nAnswer: q**2*(q + 3972)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4, t + 2*z = 2*t - 8. What is the closest to 1\/3 in t, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + l + 1. Let p(m) = 6*m**2 + m + 1. Let v(f) = d(f) - p(f). Let u(a) = 25*a**2 - 23*a**2 - 5*a**2. What is -7*u(y) + 3*v(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 1296*g + 1297.\nAnswer: -(g - 1)*(g + 1297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -20.99999844. What is a rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1166 + -57871?\nAnswer: -56704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.19, 0.06, 0.3, 0.4, 0?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j + 665 = 455 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1520 - -1495. Suppose 5*c + 3*p - 349 = 0, 3*c + 0*c + 5*p = 219. Let s = c + g. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2745 is divided by 279.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(23\/(690\/45)*-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**4*t**2 - 15*q**3 + 8*q**2*t**2 + 3*q*t**2 + 3*q + 111*t wrt q.\nAnswer: -36*q**2*t**2 - 90*q + 16*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/756)\/(12\/((-2688)\/80)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 305831 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -0.2 (c) 37 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 3*i)*(0 + 0 + 3*i) - 556*i**2 - 232*i**2 + 90*i - 87*i.\nAnswer: -782*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31216, -65865, -100526, -135205, -169908, -204641, -239410?\n\"Answer: -l**3 - 34642*l + 3427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21554, 86427, 194626, 346157, 541026, 779239, 1060802, 1385721?\nAnswer: 1754002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -10\/7*x + 2\/7*x**2 + 12\/7 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21169*v**3 + 4 - 21195*v**3 + 42417*v**3.\nAnswer: 53*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 - 15*h - 5. Give x(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877065462?\nAnswer: 2, 3, 7, 13, 17, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77622, 77581, 77512, 77415?\n\"Answer: -14*d**2 + d + 77635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 702 or 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3579832 and 1272.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (238\/(-197421))\/(7\/(-3)). Do t and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4*(6 + -7 + 2) and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 - 361 = 129*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 396.2017cm?\nAnswer: 3962.017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b**1\/b)*b)\/b)\/b**4)**23\/((b**(-2\/3))**30)**(-15) assuming b is positive.\nAnswer: b**(-346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 6. Let q = 15 + -19. Determine i(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -7 - ((-129)\/9 + 13)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11193982 + 11193982 + 6*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53696 and 83648.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 7*c - 3*h, 5*c - 19 = -h. Suppose 0 = -z + m - 18, -z - c*m - 2 + 0 = 0. Find the common denominator of (-4)\/z - (-2608)\/(-504) and 22\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2\/17 (c) 0.9 (d) 0.4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 9747?\nAnswer: 2\/9747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*s + s - 38, 3*j - 50 = -4*s. Let n(g) = 5*g + 13. Let p be n(j). Let w = 66 + p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 - 5 = 3*h, -4*d = 4*h. Suppose -3*f + 3 = g, -2*f - d = -0*g + 3*g. Suppose -f*n + 94 = i, -5*n + i + 257 = -2*i. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 1005*p + 1005*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.732 kilometers to nanometers.\nAnswer: 931732000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + -4 + sqrt(24)\/(sqrt(12) + sqrt(72)\/sqrt(6) - sqrt(12)).\nAnswer: -4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 2*r**2 + r)*(-4*r**2 + r**2 + 4*r**2) - 5*r**4 + 6*r**4 + r**4 + 3*r**3 - 3*r**3 + 2*r**4 - 2*r**2 - 3*r**4 + 2*r**2)*(3*r - 5*r + 5*r).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/3 - 14*q**4 + 2*q**3 + 244*q**2\/3 - 111*q + 42 = 0.\nAnswer: -42, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2083 - -3?\nAnswer: -2080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 8*y. Let c be k(-9). Let z = c + 14. Put -3, z, -5 in increasing order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 6*c + 12. Let a be x(21). Let b = -188 - a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1030889 + 10?\nAnswer: -1030879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3054771 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n + 19*n - 26*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999031424 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f + 167. Give w(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a**2 + a. Let s(u) = -u**2 + u - 1. Let m(x) = -h(x) + 3*s(x). Let g be m(2). Let p be (-1)\/(-6) + g\/210. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Suppose 3*g = j*l - 0 - 8, g + 2*l + 10 = 0. Let r(u) = u + 1. Calculate r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -4*n**6\/15 + 9*n**2 + 50*n + 32. Let g(b) be the first derivative of i(b). What is the first derivative of g(f) wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2458, 2443, 2438, 2461, 2530, 2663?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84470 is divided by 414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 - 8*y**2 + 7*y + 3. Let m be k(2). Solve 18*i - m*i + 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131179204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18821 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + 0.29. Let a = -0.5 + w. Are 0 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 1411437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124478 and 14170.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 5*s + 130 = 0, -3*g = -123*s + 127*s + 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*o = 35 - 0, -5*a - 5*o + 70 = 0. Suppose 0*n = 3*n - a. Solve 35 = -n*h + 4*z, -h + 3*z = 2*h + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v - 40. Let w(x) be the third derivative of -x**5\/20 - 979*x**2. What is w(z(a))?\nAnswer: -432*a**2 + 2880*a - 4800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -97, -1, 4, 1 in descending order.\nAnswer: 4, 1, -1, -2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19740 - -19715. What is the smallest value in 1\/6, -0.2, -3, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 + -204. What is the greatest common divisor of n and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*o**3 - 9*o**2 - 5555.\nAnswer: -165*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794598?\nAnswer: 2, 3, 210811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*g - 47, -207 + 89 = 4*g - 4*m - 78 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.1 (b) 2\/5 (c) 4 (d) 4\/6497 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2500*v - 34 = -2483*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1132900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 44 = -4*p, 0*p - 8 = 4*p. Find the first derivative of 14*t + x*t - 10*t + 16 wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:40 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((6\/3)\/4)\/((-29)\/(-464)). Suppose -3*f - 2*r + x = 0, 9 = 5*f + r + 5. Solve f = l - 0*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59*(-188)\/(-8319)*4\/(32\/330).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186875615?\nAnswer: 5, 53, 705191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-25)*(14\/10)\/(26\/((-1820)\/(-147))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/8)\/((-3)\/12). Suppose -2*l = -5*b - 5*l + 35, -2*b - 2*l + 18 = 0. Suppose 0 = -3*z + z - 4, b*s + f*z = -6. Solve 3*a + 2*a + 5 = s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from zzmzbzmzmmmmmmmmmm.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3368\/921 - 3\/307. Let y = b + 5. Factor -4\/3*d + 0*d**2 + y*d**3 + 0.\nAnswer: 4*d*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*c - 2*c + 76, -2*c - w + 72 = 0. Let s be 14\/(-2)*2\/(-2). Suppose -3*v + s = -c. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 62, 91?\n\"Answer: 29*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/3 + 5*t**2\/2 - 8*t. Let g be z(-3). Sort -0.3, 1\/5, g.\nAnswer: g, -0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 42*c**2 + 4. Let o be u(-21). Suppose -o*l + 250 = 6*l. Solve -l = 3*q + 3*h - 8*h, -4*q + 3*h = 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 16 + 2 - 27*a**4 - 10 + 1 - 2*a**3 to f*a**4 + r*a**2 + y*a + i*a**3 + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 + 10*a - 14. Calculate y(7).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -4. Let f be 5\/2 + 12\/j. Solve -3*n = -4 + f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + y - 19 + 6, -5*y - 23 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16303 (base 10) in base 13?\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 142.34. Let k = 505 - 505.66. Let n = m + k. What is the closest to -2\/9 in n, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59016339\/7, -1, 0.3 in increasing order.\nAnswer: -59016339\/7, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/(k\/k**(-4))*k**(-1\/3)\/(k\/k**(1\/4))*(((k*k**(-1)\/k)\/k)**(-13))**(-10) assuming k is positive.\nAnswer: k**(-3193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/30 + u**5\/60 - u**4\/24 + u**3\/6 + 16*u**2. Let b(r) = r + 7. Let c be b(-6). What is m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -19*3\/6*-2. Let z = 3 + a. Suppose 5*r - 990 = -0*r. Calculate the greatest common factor of r and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93327851 take away 3.6?\nAnswer: 93327847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18885.5 meters to micrometers.\nAnswer: 18885500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5795, 11402, 17003, 22598, 28187?\n\"Answer: -3*a**2 + 5616*a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 1. Let d(y) = 2*y**2 - 11*y. Let i(k) = d(k) + 4*x(k). Let j be i(4). Solve j = -2*a + 3*a + 5*z - 3, a = 3*z + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 7\/6*n**3 + 0 + 1\/12*n**4 - 11\/20*n**5 - 97*n + 4*n**2. Find the second derivative of c(a) wrt a.\nAnswer: -66*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 smaller than -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 185\/40) + (-47267)\/8. What is z rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*m**4 + 79004*f**2*m**2 + 231*f*m**4 - 18*m**4 wrt m.\nAnswer: 48*f**2*m + 5544*f*m - 432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 16788.\nAnswer: -11\/8394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 - 4. Let h = -16698 - -16697.87. What is the third smallest value in 1\/2, h, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -17\/3075852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -10.999999018. What is u rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 756*m + 7242*m**2 - 759*m - 1.\nAnswer: 7242*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*v. Suppose 4*h = 2*h - 2. Let x be (h + 1)*(-3 + 4). Are x and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 280047 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/54891 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -17*c**2 + 450*c - 2407. Calculate u(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from jjjjjjaahjaaajhu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.8 + -35.7999829. Round k to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 - 139*c + 583. Let g be l(7). Let a(y) = y + 10. Let o be a(0). Solve -5*m + 5*v + o = 0, 2*m + g*m = -5*v - 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 44*x - 12*x = -1984 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 458427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 2)*6\/(-10)*30\/(-405). What is the smallest value in s, -15\/71, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*14\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 33 - 12*a + 13*a.\nAnswer: 2*a + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 12857 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(217\/(-196) - -1). What is the greatest common factor of t and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -259 - -7?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - p = 3*p - 3537, 2*p = 6. Let q = -10 + z. Suppose q + 1152 = 7*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b45cb (base 13) to base 16.\nAnswer: -37eec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1345700052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {t: 2, n: 1, b: 1, l: 2, a: 1, s: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -62*d + 4. Let q(p) = -37*p + 2. Let u(m) = 5*q(m) - 3*t(m). Let s(a) = 4*a + 4. Let l be s(4). Suppose l = -y + 6*y. Give u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11101 - 20?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -r - 55, 9*u + 4*r + 30 = 13*u - 14 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441938157.\nAnswer: 3, 19, 7753301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a + 8. What are the prime factors of h(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - i**3)*(-i + i - 3*i) - i + i + 2*i**4.\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/16)*m**(-2\/7))\/(m\/m**(-2\/3)*m)**12 assuming m is positive.\nAnswer: m**(-3609\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.386 - 1.786. Let u be (-1)\/3 - 4\/(-84). Sort -0.2, u, c in decreasing order.\nAnswer: -0.2, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5)*(-3 + 1 + 8)*(36 - 36 + 3*b) to the form q*b + i and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33 + 35)*695525\/(-5). What is g rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 42\/17 (c) 423.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3615173 is divided by 5579.\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 606116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6529, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 560*t - 62. Let r(z) = -140*z + 15. Let g(u) = 2*l(u) + 9*r(u). What is the hundreds digit of g(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 8028.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {x: 8, f: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50065733844 - -57.44.\nAnswer: -50065733786.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 833444424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173596 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 30*q + 26*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 8:27 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 4, z: 2, s: 2, p: 1, x: 1}. Give prob of picking 1 p, 1 s, and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2 and 18\/3*-1 - 6808\/(-1035).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a hour in seconds?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.1, -49, 2, 33, 17?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 9*b - 20. Let l be s(11). Let j(q) = -252*q**3 + 1. Let u be j(-1). Is u\/l*(5 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 86*s - 26. Let l be g(6). Suppose -l = -3*t - 79. List the prime factors of t.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88525907*g**2 + 6439*g - 496.\nAnswer: 177051814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52377580 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t - 8. Let s(i) = -16*i - 17. Let h(z) = 7*f(z) - 3*s(z). Find the first derivative of h(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -28*f + 1311. Let t be u(47). What is the smallest value in -1\/229, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**3\/3 + 23*d**2\/2 + 33*d - 3418. Determine z(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5 = -2*c + 4*c, -4*a = -4*c + 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -12.5466?\nAnswer: 25.0932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 16*b**2 - 34*b - 41. Calculate s(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - 15*u + 1. Let p(s) = -5*s**2 - 16*s + 2. Let k(m) = -3*p(m) + 4*y(m). List the prime factors of k(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 - 1514*b**2 + 56680*b - 485368 = 0. Calculate b.\nAnswer: 13, 26, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -53*m**4\/8 + m**3\/3 - m**2 - 12*m - 18. Let k(z) = -22*z. Determine k(s(c)).\nAnswer: 3498*c - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 + (-11)\/(22\/(-28)) + 1\/(-1). Let q(t) = -17*t + 2. Let d(l) = 1395*l - 165. Give w*d(y) + 165*q(y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-41))**(-44) assuming j is positive.\nAnswer: j**(-1804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75304 and 236.\nAnswer: 4442936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p. Suppose 75 = -2*w + 77. Let f be t(w). Suppose 8*h - 4*h + 3*g - 22 = 0, -5*g = 3*h - 22. Are f and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 16. Suppose 0 = n - 9 + 1. Determine g, given that 18*g**a + 13*g**2 + 5*g**4 + 4*g**3 - n*g + g**4 + 3*g**2 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:07 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183006 - -4?\nAnswer: -183002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -77721 to the nearest one hundred.\nAnswer: -77700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(1872) - sqrt(1872)) + 2) + -3 + (1 + sqrt(1872))*4*2*-6)**2.\nAnswer: 58320*sqrt(13) + 5460777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -192*d + 191*d - 8, 5*n - 2*d - 3371 = 0. Calculate the highest common factor of n and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 6. Let r(n) = 2*n - 5. Let u(c) = 6*l(c) + 7*r(c). Let o be u(7). Factor -8*w**2 + 5*w**3 - 17*w**2 - 36*w**4 + o*w + 41*w**4.\nAnswer: 5*w*(w - 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let p = 0.12 + -0.52. Let m = h - p. Sort m, 0.06, -1 in descending order.\nAnswer: m, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 16 - 42 + 5 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*k - 11. Calculate the smallest common multiple of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 12445632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12380.47nm in micrometers?\nAnswer: 12.38047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1693, 0.1, 2\/11, 0, 5\/3, -148?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/90 - 20*i**4\/27 + 139*i**3\/9 - 42*i**2 - 4481*i. Determine a so that l(a) = 0.\nAnswer: 1, 18, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -328 and -1.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u**2 - 41*u + 3351. Let q(a) = 6*a**2 - 13*a + 1119. Let s(g) = -2*b(g) + 7*q(g). Differentiate s(c) with respect to c.\nAnswer: 16*c - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-1428)\/(-366)))\/((-131)\/1834)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -139, -136, -123, -94, -43, 36?\n\"Answer: p**3 - p**2 - p - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**3 - 4*m + 1. Let w(j) = -21*j**3 + 7*j - 2. Let t(h) = 11*u(h) + 6*w(h). Is 6 a factor of t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*c - 12 = 0, 3*l + 0*c = -2*c + 32. Let d be 8 + (-1 - -3) - -2. Calculate the greatest common divisor of l and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -55 - (-8 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 8*o - 8. Let v be n(7). Let h be 218\/9 + 4*v\/18. Let b(k) = k**3 - 22*k**2 - 5*k + 35. Is b(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75243700 to the nearest one million.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71646148?\nAnswer: 2, 7, 2558791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25278820 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 28*h**2 + 337*h + 15. Let n be i(-12). Find b, given that 0 - 3\/2*b + 3\/2*b**4 - 9\/4*b**2 + 9\/4*b**n = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8720 + 4244. Let p = -4475.9999996062 - h. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/((-198)\/99)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 231 from -36.16.\nAnswer: -267.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -3.18, -1, 2\/7, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*c**2 - 3148*c + 203*c - 3025*c**2 - 1046*c**2.\nAnswer: -4829*c**2 - 2945*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7370, -10301, -13250, -16223, -19226, -22265, -25346?\nAnswer: -28475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 4, 59, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.86, -0.1, 3, 397.\nAnswer: -0.86, -0.1, 0.3, 3, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.09 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1060 divided by 265\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let c(j) be the second derivative of j + 4*j + 0*j + 6*j - j**3. What is c(b(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71, -223, -455, -755, -1111, -1511, -1943, -2395?\n\"Answer: 2*a**3 - 52*a**2 - 10*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-417)\/(-3197)*((-206)\/(-309))\/((-4)\/10)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 3. Let p be q(2). Let k(x) = 0*x + 0 - 6*x - 5 - x**p + x. Let c(i) = -2*i**3 - 8*i - 8. Calculate -5*c(a) + 8*k(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 0.4, 0.65, -4 in decreasing order.\nAnswer: 12, 0.65, 0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.6 - -10.6. Let o be (7 + 0)*6\/21. Sort q, o, 0.2, -2.\nAnswer: -2, 0.2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.09 (b) 31 (c) 5.5 (d) 2.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-22) - 16\/88?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + l - 14 = 0, -8 = -4*l - 0. Solve 2*g = -3*f + 1, -w*f + f = 4*g - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p - 1. Let s be (8\/(-40)*258)\/(2\/20). Let q = -521 - s. Let z(v) = -v - 7. Give q*m(u) - z(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6*l = -4*l - 66, 2*l + 94 = 5*a. Solve -w - a = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747281061 to the nearest integer?\nAnswer: 27336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188*z**3 - 156*z**3 - 4 - 36 + 3 wrt z?\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 20*n**2 + 85*n - 14. What is p(16)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 16210916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, o: 2, i: 1}. Give prob of sequence oi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18064.021 + 18064. Which is the closest to -2\/5? (a) -0.5 (b) h (c) 1\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/10, -2923, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73993 + -73996. Let n(m) = 1 - 5*m - 5 - 2*m. What is n(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 - 299. Let h(r) = -r**3 + r**2 - r + 5. Give h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*h - 142 + 72 + 70 to the form j + c*h and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 6:49 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 2*u - 5*u - 17*u**2 + 3*u.\nAnswer: -17*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 8002588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/63 in 0.07, -1\/7, 1, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Is 1167\/x + 6\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 10*z + 3 - 396*z**2 + 394*z**2 + (2*z + 2*z - 2*z)*(-z - 4 + 4).\nAnswer: -4*z**2 - 10*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/43172 and 92\/3225.\nAnswer: 3237900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9.479 * 343\nAnswer: 3251.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose -4*p = -o*b + 2, b = -b + 3*p + 1. Let w be (4 - -1)\/1 - -1. Solve -3*r = 0, w*q + b*r = 4*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:21 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.988 + -79. Is 1\/2 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c - 2. Let a(u) = -u. Let r(b) = -5*a(b) - v(b). Let h(s) = -3*s**2 + 3*s - 7. Give 2*h(y) + 7*r(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 - (-32)\/40. Let v be 1*-1 - (-4 + 2). What is the third biggest value in 5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*d - 10 = t + 3*t, 240 = 22*d + 4*t + 20 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bexbueuebbe. What is prob of picking 1 u and 1 x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -72*w + 1015. Let q be x(14). Let u(b) = -5*b**2 - 9*b. Let c(d) = 11*d**2 + 18*d. What is q*u(f) + 3*c(f)?\nAnswer: -2*f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 5, p: 8, u: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79639.\nAnswer: 7, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-16)*(-12)\/72.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 11*i = 3*h + 8, h + 4 = -i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 909147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1. Let a(r) = 5*r + 1. Let g(s) = s - 1. Let q(d) = -a(d) + 2*g(d). Calculate 4*f(m) - q(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*3\/6*3054\/(-29013))\/(2\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -28, -22, 0, 44, 116?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27122*p + 213012.\nAnswer: 27122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-2\/3))\/d)\/((d**(2\/3)*d)\/d))**(-2\/31) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 37, -5, -2 in ascending order.\nAnswer: -5, -2, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -11, -117, -3 in descending order.\nAnswer: 108, -3, -11, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 11. Suppose v*n = 4*n - 6. Solve 2*w - 3*w = -n*d + 3, -4*w - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -697 and 69.8282.\nAnswer: -627.1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/5642 and -20\/3627?\nAnswer: 50778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106.106 + 0.106. Let q = n + 105.5. Which is the fourth smallest value? (a) 4 (b) -1\/8 (c) q (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -9 - (2 - 3). Let i = h + -5. Let z(g) = g**3 - 5*g**2 - 5*g + 8. What is the remainder when 41 is divided by z(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 6*n**2 - 5*n. What is the remainder when (-9020)\/(-48) + 1\/12 is divided by i(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -q + 118, 7*q - 6*q = -d + 126. Calculate the remainder when q is divided by 119.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -176, -235, -338, -491, -700, -971, -1310, -1723?\n\"Answer: -n**3 - 16*n**2 - 4*n - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)*-1*4. Let w be (11 - 1)\/(-1 + (-63)\/(-21)). Solve -y*k = 25 - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (16 - (10 + -19)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) -9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:54 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d. Suppose 10 = 2*a + 2*l, 0*a - 2*l + 7 = -a. Let j be q(a). Let p = -0.8 - -1.1. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13282 - 4*m - 34*m**2 + 71*m**2 + 13277 in the form d + z*m**2 + y*m and give z.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1486.3 + -1420. Let m = q + -66. Sort -1, 1, 3\/4, m in decreasing order.\nAnswer: 1, 3\/4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.84 + -0.16. Let k be (1\/(-2))\/(4\/16)*107\/214. What is the nearest to k in 0.2, i, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n\/(n**(-14)\/n)*n)**(3\/20)*(n**(-2\/13)\/n**(-4))\/((n\/n**(2\/5))\/(n\/(n\/((n\/(n**(-2\/5)\/n))\/n)))) assuming n is positive.\nAnswer: n**(458\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 1, d: 5}. What is prob of sequence pdpd?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 64\/8 + 25 + -14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 145 - 268*l + 2*l**2 + 1850*l + 145.\nAnswer: -2*l**2 + 1582*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 601 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 3. Let j(n) = 4*n - 3. Let t be j(3). Let x = -3 + t. What are the prime factors of k(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4944314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*i**2*k**2 - 4*i**2*k - 3*i**2*q + 3*i*k**2*q + 1 wrt k?\nAnswer: -48*i**2 + 6*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4241\/5859 - -8\/837. What is the smallest value in 2, 11, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (60 + -29 + 6 - (5 + -2))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 31052*m - 155310.\nAnswer: 2*(m - 15531)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 - 1. Let v = -3 + -3. Suppose 3*o - 156 = 7*o. Let p = o + 41. Let b(f) = -5*f**3 + 3*f**2 - 3. Determine p*b(z) + v*u(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22190260 is divided by 7396740?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:33 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3\/3 - g**2\/2 - 3*g. Suppose m + 2*m = -24. Let d(p) = -p - 9. Let r be d(m). Calculate s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 50.46 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(-1)*b*b*b*b)*b*b**(-3)*((b\/b**3*b)\/b)\/b**(3\/4))\/((b**(-2)\/b)**13*b**(-9)*b**(-5\/6)) assuming b is positive.\nAnswer: b**(481\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - -92. Let i be o\/8 - (-1)\/(-2). Suppose -5*a - r = 4*r - 40, i = 4*a - 5*r. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 33865546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383293, 766593, 1149901, 1533217?\nAnswer: 1916541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*p**2 + 37*p**2 - 130*p**2 - 135*p**2 as x + v*p + i*p**2 and give i.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h - 16 = -s, -17 = -2*s - h. Suppose -4*y + s = -2*y. Suppose -3*r + 7 + 26 = 3*l, 3*l - y*r - 25 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2242452871 - 0?\nAnswer: 2242452871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 25743, -20, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663380 and 3280?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (20\/16)\/(-5)*-8. Let q(t) be the first derivative of -145715*t**2\/2 + 5*t + 1. Let p be q(g). Round p to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 64270?\nAnswer: -64240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -40. Calculate the remainder when 163 is divided by p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r + 4. Suppose 3 = -k - 0*k - 2*l, 0 = -r*k - 2*l + 2. Suppose 149 - 157 = -2*d. Solve -d*w = w + k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h - 56*h + 4*h + 3402210 = 0. List the prime factors of h.\nAnswer: 5, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -9*g + 26. Suppose 0 = 3*i + g*i - 4832. Round i to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 9*t**2 + 7*t - 7. Suppose 5*p - 4 = -2*u - 20, -4*u - 32 = 4*p. Give w(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1715 divide 98338100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5217 and 17982?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1212195?\nAnswer: -1\/1212195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16982*k*t - 2*k + 3645 wrt t?\nAnswer: 16982*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/(z\/(z*z\/(z*z**(-12\/11)*z*z)))*z**8*z**(-12\/11))**(5\/11) assuming z is positive.\nAnswer: z**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-4)\/3)\/(-1))\/((-1162)\/1245))\/((-30)\/(-70)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**2 - 54*k**3 - 5*k**2 + 3 - 6 + 2*k**2 wrt k.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88640926?\nAnswer: 2, 11, 151, 26683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/13)\/(u*u**(-1\/5))*u**(-9)\/u**(4\/17) assuming u is positive.\nAnswer: u**(-11259\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48561852 and 288.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*a - 9, 0*u = -2*u - 5*a + 15. Suppose w = 2*c - 6, -3*w - 21 = 2*w - c. List the prime factors of 38 - (0 + u)\/w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2\/13)*k*k**14 assuming k is positive.\nAnswer: k**(210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. What is the second derivative of 2*p + 24*p + 6*p**2 + 9*p**v wrt p?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.669 (b) 12 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71661106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2408)\/1892)\/((-8)\/(-44))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -4 + 5 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149707 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1664, -1656, -1644, -1628, -1608, -1584?\n\"Answer: 2*f**2 + 2*f - 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9993774ml to litres.\nAnswer: 0.0009993774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -34*g + 17. Let u(z) = 60*z - 30. Let f(x) = 14*r(x) + 8*u(x). Let t(o) be the first derivative of o**2 - 2. What is f(t(p))?\nAnswer: 8*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -561.52 to the nearest integer.\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 4. Let u(h) = -4*h + 2. Let d(x) = 2*x**3 + 69 - 63 + 4*x**3 - 4*x**3 + 2*x**2. Let i be d(3). Suppose 81 = n + i. What is n*r(v) + 5*u(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u**2 + 2*u - 11. Let l be y(-9). Let c = l - -35. Let g be -2*(9\/c + -1). Let w(a) = 3*a**2 + 2*a + 1. Calculate w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49980 - -9017. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9553 + 9630. What is the remainder when 3078 is divided by b?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842204 is divided by 612.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748124, 748123, 748122, 748121?\nAnswer: 748120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2728)\/(-93))\/22*15\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -810266581*y**6 + 175*y**2 - 254*y + 574.\nAnswer: -97231989720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/126)\/((-12)\/36).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-54)\/(-8)) + (-1599)\/117?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02448 + 477.72448. Let h = v + -478. Let w be 10\/8 - (3 - 1). Which is the biggest value? (a) h (b) w (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17403503 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: Solve 6*q = 1539 - 1581 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let d(t) = 8632*t**2 + 624*t - 624. Let j(n) = 208*n**2 + 15*n - 15. Let w(k) = 5*d(k) - 208*j(k). Determine w(z(o)).\nAnswer: -104*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 2:52 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*u = -23, 5*x - 22 = 6*x - 4*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17*q**2 + 401*q + 8. Let m(d) = 12*d**2 - 402*d - 6. Calculate 2*c(n) + 3*m(n).\nAnswer: 2*n**2 - 404*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111111 + 1001101?\nAnswer: -111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2 - b - 1 + 2 + 2. Let j(h) = 1. Calculate -3*j(c) + t(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.079433 and -13?\nAnswer: -1.032629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a - 7. Let u(d) = 4*d**2 + 16*d + 16. Let g(p) = -p**2 - 4*p - 4. Let k(w) = a*u(w) - 9*g(w). Find x, given that k(x) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582 divided by 582\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - -2.05. Let k = t + -1. Let w = -359 - -358. Sort w, k, 0.3.\nAnswer: w, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. What is l(-11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/4069926 and -62\/1154979.\nAnswer: 85468446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3039 + 1214 - 13487 = 464*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/15 + 8*d**2\/3 - 166*d\/15 - 208\/15 = 0.\nAnswer: -1, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -689\/8. Let s = -0.1 + 0.2. Does r = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**2 + k + 8. Let b(p) = -p**2 + 1. Suppose -103*v + 569 + 1285 = 0. Calculate v*b(g) - 2*y(g).\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 681 + -681. Let k = 0.06 - -1.94. Which is the third smallest value? (a) k (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-2\/7))\/n)\/(n*n\/n**5) assuming n is positive.\nAnswer: n**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 3*k)*(-2 + 0 + 4) - 3 - 2*k - k + 1.\nAnswer: -7*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 108106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnxnnxnnnnnnnnn. What is prob of picking 1 x and 1 n?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - v = 18, -4*t - 3 + 17 = -v. Suppose 0 = -4*q + 12 + t. Which is the second biggest value? (a) q (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/14*18\/(-54).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(5*t - 5*t - 3*t**4) - 2 + 2 - 2*t**4 as p*t + q*t**3 + c*t**4 + k*t**2 + x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 2*b**3\/3 + b**2\/2 + 24*b - 5. Does 8 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 60 = -136. Suppose i + 0*i + t = 0. Let p be 2\/7 - 84\/i. Put -5\/2, 0.2, p in descending order.\nAnswer: p, 0.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 26*f + 355. Let j be a(-10). Solve 6*t + j = 113 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 308.\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687854745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 + 20 = 0. Suppose 4*c + o = 3*x + 32, -20 = 4*x - 4*c. Let d = 3442\/13 + -58553\/221. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -8 - -109) + (38 - 42) + -11?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17880889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, 3\/8, 4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 6, -317, 82.\nAnswer: -317, -13, -2, 6, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -o + 13. Let b = o - 34. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1526344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60195 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 162633.2 milligrams in kilograms?\nAnswer: 0.1626332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 + 9708*f - 1. Let c(i) = -77*i. Calculate t(c(y)).\nAnswer: -35574*y**2 - 747516*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1903 = 7*c - r, 3*c + r - 1145 = 0. List the prime factors of c.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 + 244*u - 4704 = 0.\nAnswer: 24, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + w - 3*w)*(-185 + 185 - 162*w**2) in the form u*w**2 + p*w**3 + b + m*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + j + 3*j - 8, s = -4*j + 8. Let q be s - -5 - (0 + 2). Solve -q*h - 20 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 12. Let j(d) = 5*d**o + d**3 + 3*d + d**2 - 2 - d**2. Suppose -5*w = -12 + 27. Give j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 60 = 3*i, 5*i - 6*l + 2*l = 137. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s. Let i be (12\/10)\/(6\/20). Let l(k) = -4 + i + k. Calculate l(x(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (sqrt(891) + 1*sqrt(891) + sqrt(891))**2 + sqrt(891) + sqrt(891) - (-1 + (sqrt(891) - (1*sqrt(891) - sqrt(891))))) + -4 + 2.\nAnswer: 9*sqrt(11) + 8010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 3*p**2 - 7 + 47*p**3 + 565*p**4 - 27*p - 568*p**4 - 48*p**3 to the form o*p**4 + v + j*p**3 + f*p + q*p**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/22 and (-3540)\/(-2592) - (3 - (-14)\/(-6)).\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**5\/4 - 15*d**4 - 115*d**3\/2 - 75*d**2 - 125*d\/4 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 291484 - 31*w + 11*w.\nAnswer: -2*w - 291484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 39*d**2 - 47*d + 280. Let g be n(40). Solve 4 = w + m, -2*w - 4*m + 9 + 9 = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3858.7 and -55.\nAnswer: 3803.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-185)\/((-20)\/4). Let u = -183 - -311. Let j = c + u. What are the prime factors of j?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -154\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - 155.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 3*l, -3*u - 4*l = -4*u - 9. Factor 4*p**2 + 4*p**2 - 3*p - u*p**5 + 6*p**3 - 3 - 3*p**4 - 2*p**2.\nAnswer: -3*(p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = r + 18, 3*g + 14 = 2*g + 5*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 140, 150, 158, 164, 168, 170?\n\"Answer: -c**2 + 13*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v + 13*v - 6 - 6 + 14 to r + s*v and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 + 2*t**2 + 2*t + 2. Let w be -2 + (-1)\/(-2)*(6 - 12). Let j(k) = -13*k**3 + 3*k**2 + 3*k + 3. Let n(f) = w*v(f) + 3*j(f). Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -0.05, -0.48, -3, 0.1 in increasing order.\nAnswer: -3, -0.48, -0.05, 0.1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s*s**(-15))*s))**(-31)\/(s**(-14))**(1\/54) assuming s is positive.\nAnswer: s**(12562\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05634462423617 - 0.4?\nAnswer: -0.45634462423617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2226\nAnswer: 5\/2226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 284153*4\nAnswer: 1136612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 951440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000375 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 172?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -947913947*q**4 + 4683*q**2 - 20660 wrt q.\nAnswer: -22749934728*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19045?\nAnswer: 5, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u**2 - 319*u**2 - 97*u**2.\nAnswer: -461*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*p + 13, 5*s = -0*p - p + 20. Let g be p\/(-15) + 2\/6. What is the first derivative of -2 + 1 + 2*m + g*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 2*d - 2*d)*(-4*d + 4*d + d**2) + (4*d**5 - 4*d**5 + 2*d**5)*(0 + 1 - 2) - d**5 + 0 + 0.\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42644 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 - 875\/546. Let z = r - 3\/13. Is -0.1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -127, -133, -141, -151, -163?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejb when three letters picked without replacement from {b: 1, j: 6, e: 2, o: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5133)\/(-116))\/(3\/64). Suppose 0 = q + 2*d - 232, 5*d - d - w = -4*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urrrurrrur. Give prob of picking 1 u and 3 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52.0342 - 52. Let x = 2.7442 - d. Let b = 10.19 + x. What is b rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 87*n**3 + 4*n**3 + 88*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 7}. What is prob of sequence yh?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-21)\/(-9))\/(4\/6). Let s be ((-3)\/(-97 - -1))\/(d\/(-4)). Is 1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {d: 2, i: 1, s: 4, w: 3, k: 1, e: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/88? (a) 28 (b) 2 (c) -0.4 (d) -1\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10\/g**(1\/14))**20 assuming g is positive.\nAnswer: g**(1390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 636675 or 636673?\nAnswer: 636675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2145640, -4291287, -6436934, -8582581, -10728228?\nAnswer: -12873875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtx. Give prob of sequence xt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 315*a + 317*a + 156, 2*o - 2*a = 36. Let r = 0 - 0. Solve 8*n = -r*n - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c - c)*(-1 + 1 - 2*c) - 6*c**2 - 6*c**2 + 4*c**2 to the form n + y*c + t*c**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1214\/(-120) + ((-9)\/(-12))\/(2340\/(-416))?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 14 = -5*k, 3*a = 6. Suppose h = -2*x - 805, 3*x - 5*h + k*h + 1185 = 0. Let g = 819 + x. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7565 a factor of 52796135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124 + 873 + 14*n**2 + 845 - 2842.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306 (base 13) to base 4.\nAnswer: 20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/608002 and -48\/19.\nAnswer: 11552038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2077 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*p - 13869 = 11941 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i + 10. Let q = -3 + i. Find the second derivative of -2*d**2 + 9*d + d**q - 6*d**2 - 4*d**2 wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1\/107?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12020230311 + -3?\nAnswer: 12020230302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.1 (b) 5 (c) -4 (d) -0.3 (e) -0.0783 (f) -11 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272330 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-160440)\/49)\/2)\/(-3*3\/(-693)). What is i rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1446*a*o**2*y**2 + a*o**2*y - 211*o**2*y**2 - 3*o**2 with respect to a.\nAnswer: -1446*o**2*y**2 + o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 9:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 1379*r**2 + 85409*r - 175. What is h(-65)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j**2)*(-j + j - j) - 29*j + 9*j**3 + 29*j.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9449 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - 13. Let l = -26 - k. What is the closest to l in -2, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let k be (6\/(-4))\/((-9)\/(-84)). Let x be 4\/(-3)*3\/k. Which is the closest to s? (a) 0.3 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995.2719 centuries to decades.\nAnswer: 9952.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let h(t) = -7*t - 135. Give 5*f(b) - h(b).\nAnswer: 2*b + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**3\/3 + 3*j**2\/2 - 28. Let q(o) = 4*o**2 - 15*o - 1. Let w(l) = -2*q(l) - 10*u(l). Let i(v) = v. Calculate i(w(n)).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a day in minutes?\nAnswer: 24960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12499\/60 - -431\/12. Is -171 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55335 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/11 greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 14*t**2 + 2. Let v = 46 - 26. What is the remainder when d(2) is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 917 - 11919\/13. Suppose -5*m + 6 = -2*f, f + 2*m = 5*f - 4. Find u such that -2\/13*u**f + 0 + 2\/13*u**4 + q*u**5 + 0*u - 2\/13*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2605*q**2 - 15*q - 563. Let x(z) = 3908*z**2 - 24*z - 845. Let a(c) = -8*b(c) + 5*x(c). Differentiate a(d) with respect to d.\nAnswer: -2600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9429 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*o + 3)*(2 + 0 + 0) - 7*o + 3*o + o + (4*o - 3*o + o)*(3 - 3 - 1).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -554859.81 - -911.5\nAnswer: -553948.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4224 - 64661?\nAnswer: -60434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 2*m**2 + 4*m - 60. What is l(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633354.7l to millilitres.\nAnswer: 633354700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 33\/15 - (-32)\/(-260). Let k be ((-3)\/63)\/((-1)\/6). What is the nearest to h in 0, 1\/4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 3407?\nAnswer: -3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (0\/(-2))\/(-2). Suppose 0 = -t*p - p + 4. Let x be (-2)\/(p*1\/(-6)). Solve -2*m + 4 = -2*u, m - 4 = -x*u - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1305*j**5*q + 4*j**2*q - 4*j**2 + 1172*j*q + 3374*q - 11 wrt j.\nAnswer: 26100*j**3*q + 8*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.66 * 251.971.\nAnswer: 418.27186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfoofff. What is prob of sequence fxff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92332 times -5940?\nAnswer: -548452080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*n - 19113*n - 38 + 76 - 38 as w*n + q and give w.\nAnswer: -19481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 + 13*t + 8. Let q be x(-3). Suppose 32 = r + r - 4*k, -4*r + 39 = -3*k. Solve r = -2*f, -i - q*f + 0*f = 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 1, g: 2, b: 2, f: 1, q: 2}. What is prob of sequence kgfg?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.062 - 0.162. Which is the closest to d? (a) -2 (b) -6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:16 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 71*r**2 - 619*r - 70. Calculate b(-61).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.901829 - -39.9. What is v rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -z - 5, -5*t = 5*z - 40. Let l(p) = -2 + 1 - p**2 - t + p + 3 + 57*p**3. Does 14 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.1742s in microseconds?\nAnswer: 428174200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -7ac?\nAnswer: -7b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from hhahahaaaaaaaaahahh?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 - 70 = -34*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 486\/108*(-6)\/9. Let h(z) be the first derivative of -20*z**2 + 1. Is h(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*x + 5 - 1 + 3 - 220*x.\nAnswer: -279*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:17 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2519 + -2527. Put g, 0, -121 in decreasing order.\nAnswer: 0, g, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39505 to 3 dps.\nAnswer: -0.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/11 in 4, 0.9, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/12 - 25*g**3\/9 - 56*g**2\/3 + 196*g + 459. Factor m(b).\nAnswer: -(b - 3)*(b + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 4374?\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**3 - 4*v**2 + 4*v**2)*(6*v - v - v) to the form a*v**3 + d*v**2 + f*v + n*v**4 + l and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013159111 to seven dps.\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626*s**5 - 8*s**2 + 46?\nAnswer: -37560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 112*h + 112*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 45.4. What is the closest to 2\/3 in -0.2, h, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346*y**2 - 757*y**2 - 494*y**2.\nAnswer: 95*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -17*z**4\/12 - 31*z**2 - 1. Let l(b) = 2*b**2. Calculate l(j(k)).\nAnswer: 2312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 6794 = -2786. Calculate the remainder when r is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6*3)\/((-2)\/12). Are -25\/3 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/6, -7.8, 2, 3, -1\/7, -2, 69?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361403770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((40\/8)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2 + 16*q + 37. Let n(g) = 3*g**2 - 3*g - 7. Let z(b) = 2*i(b) + 11*n(b). Suppose 9*y - 12 - 15 = 0. Give z(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30820003.\nAnswer: 30820003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + 3*j**3 + 3*j**3 + 3*j**3 - 3*j**3 - j**3 - j**3 + 2*j**3 + 0*j**3 + (2*j + 3*j - 4*j)*(-5*j**2 + 2*j**2 + 4*j**2) + 14*j**3 + 12 - 26 + 13.\nAnswer: 17*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -33, 2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 42*g**2 + 2*g + 2. Determine x(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/427766144?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 590 - 545. Let n = 49 - 24. Calculate the remainder when m is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 6*g - 1. Let n be u(5). Solve -5*l + n*l = -2*r - 9, 3*l + 4*r = -23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-306)\/17)*(-10 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 7*c**2 + 3*c - 7. Determine g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*h - 18 = 431*h + j, -3*j = h - 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -519\/181 - -197327\/1086. Let j = v - 176. Calculate the common denominator of j and 2 - 1 - ((-735)\/12)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hie when three letters picked without replacement from dggggigdiehddggee?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-93)\/(-155))\/((-2)\/(-5)))\/(36\/3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -15. Suppose -15 = j*l - 14*l. Suppose 2*p - p = 20. Solve -l*m - 5 = p, 3*q + 5*m = -31 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-13)*((-9)\/3)\/(-18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0. Let k = -0.1 + -2.9. Let v = k + 3. Is m at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245*u**4 + 6*u**3 + u**2 - 61565*u wrt u.\nAnswer: 2940*u**2 + 36*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1746*v - 2395*v + 7 - 127*v.\nAnswer: -4268*v + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(9\/2)*r**2*(r\/(r\/((r*r**(1\/3)*r)\/r)))\/r)\/((r*r**(-1\/2)\/r)**(-3)\/((r*r*r**(1\/4)*r)\/r**(-1\/6))) assuming r is positive.\nAnswer: r**(155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.01, 3, 13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5550961449?\nAnswer: 3, 11, 9907, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-25))\/((26\/(-52))\/(45\/(-27))).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -4 - 676\/307. Let m = 42431\/1842 + o. What is the common denominator of (1\/(-2))\/1 - -39 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*m + 3, -6 = 2*m + 3*m + z. Suppose 3*h + 4 + 8 = -u, -h = u + 6. Let j = m + u. Sort -3\/4, 1\/4, j in descending order.\nAnswer: 1\/4, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 70, -21, -4, -42 in descending order.\nAnswer: 70, 1, 0, -4, -21, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -5. Let l = -153.22 + u. What is l rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 12:54 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 307583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83280, 83301, 83322, 83343, 83364?\n\"Answer: 21*a + 83259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5777 divided by -1\nAnswer: -5777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 68 = j, 80 = -4*j + 2*j + 4*c. Suppose 91*r - 98*r + 343 = 0. Let t = j + r. Let m(p) = -p + 2. Calculate m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Let t = 9 - f. Which is the closest to 1? (a) -1\/5 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.67 + 0.13. Let m = j + -1.8. Let d = -2 + 2.5. What is the closest to -2\/7 in m, d, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.326 - 0.32081. Round l to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - 102925?\nAnswer: -102890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695902899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let q be k(-6). Let g(r) = -r**2 - 42*r + 20*r - 3 + 16*r + 14*r. Let b be g(q). Solve 0 = 2*y + 5*x + 20, -b*x - 3 = -y + 13 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40801275 rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -150 + -20?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000068808518 rounded to seven dps?\nAnswer: -0.0000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 - 3*m - 6. Give i(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 4, -7, 1, -5, 3, 8 in decreasing order.\nAnswer: 8, 4, 3, 1, -5, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-2 + 4)*(-9 - (-3 - -3781))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16672 and 608007?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*y + 13*y**2 + 151*y in the form v*y**2 + f*y + k and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((6\/3)\/1)\/(23\/46). Solve 4*n + f*n - 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**5 + 8*a**3 + 38218*a**2 - 5283190*a.\nAnswer: 60*a**3 + 48*a + 76436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -61*w**2 - 13*w + 14. Let u(d) = 183*d**2 + 38*d - 40. Let f(q) = 11*j(q) + 4*u(q). List the prime factors of f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 9. Let s be r(5). Let z = 6 + s. Solve 0 = -z*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = -u, 4*u - 8 = 5*t - t. Let z(a) = 14*a. Let w be z(u). Suppose -3*b = -5*b + w. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2. Let j(x) = 7957*x**2. Determine j(y(q)).\nAnswer: 7957*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 11. Calculate r(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.464 - -0.064. Let u = -11 + 13. What is the second smallest value in u, -21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 88644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 262*m - 1. Let i(j) = 2*j - 8. Let l(h) = 27*h - 96. Let u(b) = 36*i(b) - 3*l(b). Determine y(u(o)).\nAnswer: -2358*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/5)\/(s**0*s))\/(s**(1\/3)\/s*s**(1\/2))*s\/s**0*s**6*(s**(1\/3)*s)**(3\/4) assuming s is positive.\nAnswer: s**(251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -d2?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 152 = -49*p + 53. Let x(o) be the first derivative of 2*o - 1\/2*o**4 + 2*o**p - 10 - 3*o**2. Factor x(u).\nAnswer: -2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6 - (-11)\/(-22). Is -20 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 6, 13, 32, 69, 130, 221?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932111 is divided by 4829.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1255 or 1503072\/1199?\nAnswer: 1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n - 2*x = -61, 3*n - 89 = 5*x. Sort 5, 3, n, -4 in decreasing order.\nAnswer: n, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (1 - (-2 + 4)). Let m be 8 + j - 2*1. Let y be ((-10)\/m - -2)*-14. What is the highest common divisor of 70 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17902 - -22913330\nAnswer: 22931232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28028 - -28054.926. Let r = p + -27. Let t = -0.174 - r. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*i**3*r - 2*i**3 - 2*i**2*r - r - 81 with respect to i.\nAnswer: -81*i**2*r - 6*i**2 - 4*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - l = -2111, -7*l + 10*l + 4217 = 2*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*c*g**3*z - 3244*c*g*z + c*g - 3*c*z - 3*g**3*z - 74*g**3 + 3*g*z + 3*z wrt g?\nAnswer: -948*c*g*z - 18*g*z - 444*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + (-5*(sqrt(32) - sqrt(2)))**2 + -6*(sqrt(2) - sqrt(2)*-2) - (sqrt(288)*-3 + sqrt(288) + 2)**2).\nAnswer: -158*sqrt(2) + 1412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 4, -4, -38854, -2 in increasing order.\nAnswer: -38854, -4, -2, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 3*l - 5*q + 2, -2 = q. Let v(x) be the second derivative of 0 + x**2 + 6*x - 1\/36*x**l + 1\/18*x**3. Factor v(o).\nAnswer: -(o - 3)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 210*z + 255 = 205*z, -5*z = 4*g + 255 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 8*y - 2*l + 49, -5*l = 3*y + 14. Let m be ((-42)\/(-4))\/(9\/(-12)). Let x = m - y. Is x < 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274887605660 less than -698?\nAnswer: -274887606358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*l - 11 + 1 = 0, 2*l = 5*s + 25. Let v be (-18)\/(-4)*(-770)\/105. Put s, 3, v in descending order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5408*q**2. Let k(h) = h. What is u(k(s))?\nAnswer: 5408*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 17200.\nAnswer: 17200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 6*i - 6. Does 10 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2 (c) -0.4 (d) 12 (e) -4 (f) -391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = 46*a + 67. Let p(t) = 2*t**2 + 3*t - 100. Calculate the smallest common multiple of 2 and p(a).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-635)\/(-20) + (-1)\/(-4). Let f = 52 - x. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 54*c**3 + 46*c**3 + 42*c**3 + (2*c**2 + 1 - 1)*(2*c - 2*c - 2*c) + 20*c**2 - 6*c**3 - 20*c**2.\nAnswer: 24*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1237994, -1237505, -1237016, -1236527, -1236038?\nAnswer: -1235549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 50 = 3*n. Let k(z) = -z**2 + 12*z + 24. Let c be k(n). Suppose c*p = 40*p + 4036. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -62. Suppose 9 - a = -p. Solve -p*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a - r = -6, 3*a + 1 = r. Let b be (3 - (a + 1)) + 10. What is the highest common divisor of b and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(24)\/sqrt(4)) - (-1 + sqrt(567)))**2.\nAnswer: -16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 6*u**2 + 2*u**2 + (2 - 2 + u**2)*(-2 + 0 + 1) + (5*u**2 - u**2 + 0*u**2)*(2 + 0 - 9)*(-3 + 1 + 1).\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12*1)*(-24)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.007, -5, 2\/7, -1\/3, -850?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 25*j + 337. What is l(-15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*-1*(-3*sqrt(98))**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 379*m + 2862. Determine c(-2).\nAnswer: 2104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7366 is divided by 2351?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 + -412?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(0\/(-1) - 5\/10). Suppose -4*f + 81 = 3*h + 2*h, -s*f - h + 77 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 633641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 398 - 382. Solve y = -2*o - 13, o + 3*o + r = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300180*t = 299855*t - 7150 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * 14\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let j be (1\/(-2))\/(24\/(-48)). Which is the third biggest value? (a) -1\/4 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3*f - 7, -7*l + 3*l + 5*f = 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 9*c**2 - 8*c - 13. What is a(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -118. Solve y = l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 8*n - 3 = 3*o, 5*o + 3*n - 35 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from ddldlldjjndldjljj.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -0.29 (c) -27 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y)**(2\/5)\/((y*y**(2\/9))\/y**(3\/7)) assuming y is positive.\nAnswer: y**(-746\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 146, 129, 112?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 + 7*m**4 - m**4 - 8 - 24*m + 2*m**5 - 6*m**2 - 2*m**3 - 16*m**2.\nAnswer: 2*(m - 2)*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20) + -2 - -1*sqrt(500).\nAnswer: -2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15947 and 1724?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*g - 20, 1438*y - 1443*y = 5*g - 65 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*g + 18, 4*g - 22 = o - 8. Let m(x) be the second derivative of 0 - x + 1\/30*x**4 - 2\/5*x**o + 1\/15*x**3. Determine t so that m(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/((-570)\/855).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, -2, 1, -0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91918 is divided by 978.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 768 + 1350. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + -79 - -68) + 1 + 101?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + -9 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59539 divided by -9755\nAnswer: 59539\/9755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-20) - 2\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9223 - -9235. Solve 25*s - 138 - y = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2. Let c(n) = -200*n - 196*n + 601*n - 195*n. What is c(f(g))?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 495*o - 162. List the prime factors of j(4).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 5. Let q(v) = 35 - 116 + 37 + 40 + v. What is the units digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 24. Solve f = -3*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32966086414.7 and 0.2.\nAnswer: 32966086414.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {q: 3, y: 1, t: 2, o: 3, r: 1, v: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d + 16. Calculate j(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6*t + 2 + 2 - 4.\nAnswer: -6*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -26 in descending order.\nAnswer: 3, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 0*j - 4*j - 21*j + 63*j + 2*j + 25*j + (5 - 1 + 0)*(j + 3*j + 4*j).\nAnswer: 99*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -53021 (base 6) to base 5\nAnswer: -212031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -25*b - 8. Let k be h(7). Let f = 346 + k. Suppose -97 + 278 = 5*n - 2*a, f = 5*n + 4*a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9 - -176) + (3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 17*k - 88 = -12*k, 2*g + 100 = -2*k + 56 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666 - 582 - 2532 = 126*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -0.2. Let c = r - 1.6. What is the closest to c in -3\/2, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u. Let w(j) be the third derivative of j**8\/2520 + j**5\/12 - 4*j**2. Let h(p) be the third derivative of w(p). What is h(g(o))?\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000004185 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + (7 - 15) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 1 (c) 2472\/71 (d) 0.1 (e) -4 (f) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*((sqrt(13) - (2*sqrt(91))\/sqrt(7)) + 0)*-6*4)**2.\nAnswer: 480*sqrt(13) + 187204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and 1123952.\nAnswer: -460820.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (29 + (-33 - 6 - 17))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(2 - -2) + -2. Calculate the highest common divisor of p and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:02 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 10 + 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -177\/158, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*i = 3 + 10, -6 = -3*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 11*g + 3. Let h(s) = 3*s + 7. Let p be h(0). Give k(p).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(832) + sqrt(832)*1 + 0 + sqrt(832) + 3 - 3*(sqrt(832)*1 - sqrt(832))*6))**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 249683\/16 - 15599. Find the common denominator of d and 37\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.335 (b) -0.86 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*8\/117 - 4\/6. Which is the biggest value? (a) 4 (b) w (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxl when four letters picked without replacement from {l: 6, x: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-12)*(-4)\/10. Let c = 4.5 + 0.5. What is the closest to y in c, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n*(n*n\/(n*n**(-1\/4)*n))\/n))**(-49)*(n*n*n*(n*n**(2\/11))\/n*n)\/n**3)**13 assuming n is positive.\nAnswer: n**(35711\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = 6. Suppose -2*o + 7*o - 44 = -4*r, -4*o + 36 = n*r. Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4028669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-471)\/(-234)) + (-8)\/(-48)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuuukulqzlhuuuhl. Give prob of picking 1 u and 2 z.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 3*w + 1. List the prime factors of a(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 23 = 5*x, -57*x + 59*x + 4 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19*c**2 - c + 1. Give x(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 16. Is m(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 83328161.\nAnswer: 41664080.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/399 (b) 0.4 (c) -2 (d) -5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42420, -63206, -83992?\n\"Answer: -20786*q - 21634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 1325.9.\nAnswer: -1326.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 122782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2098 + 316989430.\nAnswer: 316987332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34900770 and 77730?\nAnswer: 34900770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 5, 1157.\nAnswer: -2, -1, 4, 5, 1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(700) + 5*(sqrt(700) + -2) + sqrt(700) + (1 + sqrt(252))**2 + (sqrt(28) - (sqrt(28) - sqrt(28)*-1))\/sqrt(4).\nAnswer: 91*sqrt(7) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 3*c - 33. List the prime factors of t(-8).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 5*c, -3*b + 2*c + 7 = 1. Find the second derivative of 5*w - 7*w**b - w + 4*w**2 - w**2 wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(13)*-2)*-6)**2.\nAnswer: -576*sqrt(13) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Let v(w) = -w + 17. Let u be v(13). What is the derivative of i**4 - c*i**u - 1 + i**4 wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4, l: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70113174 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 576198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/29? (a) -0.5 (b) 0.03 (c) 2.6 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 + 6*y + 17. Give u(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -b, 4*b + 2 - 12 = -5*k. Let i be -4 - 38\/(-4) - 5\/10. What is the third biggest value in i, -2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.042419 (b) -3 (c) 1\/2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 4\/5, -11, 5, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**8)\/i))**(2\/9)\/(i**(-7\/9)\/i**(13\/3)) assuming i is positive.\nAnswer: i**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 851703 > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 - 11*g**2 + 18*g - 53. Let c(j) = 4*j**3 + 10*j**2 - 21*j + 54. Let p(x) = -4*c(x) - 5*i(x). What are the prime factors of p(8)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + 72\/5. Suppose 5*j + 14 = 2*b, 5*j + 18 = 3*b + b. Let h = 61907 - 61905. Solve -h*s - b*i + 6 = 0, 3*s - 2*i + k = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45790*q**3 - 3*q + 91609*q**3 + 3*q - 45863*q**3.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11691945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {m: 3, h: 1, o: 2, u: 2, j: 6, w: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11686 is divided by 708?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374 + 1889. Calculate the greatest common divisor of 101 and s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a**3*h**3*s - 2*a**3*h**2*s - 7*a**3*h - 5*a**2*h**3*s - 13*a*h**2*s wrt h.\nAnswer: 192*a**3*s - 30*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = 4*c + 163 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5032020 (base 6) in base 4?\nAnswer: -322000230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32235, -32173, -32105, -32037, -31975, -31925, -31893, -31885?\nAnswer: -31907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 23, -415, 5, 79, 2, 3.\nAnswer: -415, 1, 2, 3, 5, 23, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.8 + 72.2. Let j = c - 85.3. Sort 5\/4, 5, 4, j.\nAnswer: j, 5\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/3*(-6)\/(-12). Let o be 3\/2*(8\/24 + l). Let g be (-28)\/(-6)*(3 - 0). Calculate the highest common factor of g and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -648, -1401, -2154?\n\"Answer: -753*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 7*j - 7. Let d(s) = s**2 - 2*s - 2. Let g(m) = 7*d(m) - 2*l(m). Let n(b) be the first derivative of 2*b**3\/3 - 2. Give g(n(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/8 - 867309*v + 3469239\/2.\nAnswer: -3*(v - 2)*(v + 2312826)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 107*f - 56*f - 54*f)*(-1 + 2 + 1)*(-226*f + 251*f + 108*f) to the form h*f + m + s*f**2 and give h.\nAnswer: 5852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*b + 0*b - 263 = 0, -2*b + 269 = 3*u. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -18164a?\nAnswer: -181643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3*r**4\/8 + 17*r**3\/2 + 111*r**2\/2 + 132*r - 1135. Factor g(x).\nAnswer: 3*(x + 2)*(x + 4)*(x + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/667 not equal to 0.1139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 11*x - 2*i - 9, 0 = x + 5*i + 5. What is h in -1\/3*h**4 - 1\/6*h**3 - 1\/6*h**x + 0*h + 0*h**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-15))\/(-4)*(-30)\/(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1 - (50 + -60)) + (-1 - 13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 14 = 3*v, 2*v = 4*t - 12. What is the third derivative of 0*u**2 + t*u**3 - 3*u**3 - u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48320 is divided by 628.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1601 + -1129. Is y a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 10917*j - 21*j**4 + 10905*j + (0*j**3 + 0*j**3 + j**4)*(-2 + 2 + 2) to f*j + z*j**2 + w*j**4 + d*j**3 + b and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((-6)\/8)*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.23, -3, -2\/5, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1846, 2157, 2950, 4465, 6942, 10621?\n\"Answer: 40*a**3 + a**2 + 28*a + 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (26\/3)\/((-10)\/6 - (47 + -48))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4697889?\nAnswer: 3, 7, 349, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 2*g**3 + 0*g**3 + 3 - 2 - 2*g**3 + 0*g**3 + g - g - 2*g**3 + 0*g + 0*g + 2*g**3 + (g - g - 2*g)*(2*g**2 + 1 - 1) + 1 - 2*g**3 - 1.\nAnswer: -7*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 4\/3, 2, 7, 1.5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(275) - sqrt(275)) + sqrt(275) + 1*sqrt(275)*1 + -3 + ((sqrt(275) - -1*(sqrt(275)*-1 - sqrt(275))) + 1*sqrt(275)*-2)*-6)**2.\nAnswer: -900*sqrt(11) + 247509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*f + 61109 - 5411 + 142 = -4184 for f.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -9 (b) 5 (c) 6 (d) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 492.\nAnswer: -25\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 1. Let l(r) = 345*r + 414. Determine 414*k(x) - l(x).\nAnswer: 69*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1790 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14346 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -6, -1\/2, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89962481837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24 and -75\/176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 15. Let n = 8 - 3. Calculate the remainder when k is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (1 - 4)) + -44. Let c = 15 - q. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, n: 3, t: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + 20. Find the common denominator of (145\/(-40))\/((-2)\/l) and 73\/(18688\/(-320)) + (-2)\/(72\/(-161)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**5 + 1653*d**4 - 4*d**2 + 76*d - 401 wrt d.\nAnswer: 60*d**3 + 19836*d**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 18 = 3*s, 4*q - 1851 = 2*s - 1905 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*k = 71*k + 28 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 951.5847 millilitres?\nAnswer: 0.9515847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - (-26)\/4. Suppose -3*l = -5*x - 7, 4*l + y = x - 2*x. Is (0 + -2 + 1)*x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-15))\/(1\/(-15)). Suppose 4*f + 3*d + 5 = 0, 2*f + c = -d + 2*d. Let j(l) = 2*l**3 - l**2 - 3*l - l**3 + 0*l**3 - 2. Determine j(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s - 71. Let c(t) = -t**3 + 33*t**2 + 188*t + 52. Let d be c(38). Give m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -2*g + 81 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/12*(600\/100)\/(1*-14)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3184 - -3183. Which is the nearest to 0.22? (a) 1\/7 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m - 4*m + m. Let c(h) = -3*h. Give c(l(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19646 (base 11) to base 14\nAnswer: -9dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/21348 and -103\/206364.\nAnswer: 619092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129534 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 358 = 2*s, 2*s = -2*o - o + 271. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0599 rounded to three decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/4 + 3*b**3\/2 - 3*b**2 + 25*b. Determine f, given that s(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 24*b**3 - b**2\/2 + 27*b - 14. What is the second derivative of n(a) wrt a?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31043 divided by -6.\nAnswer: -31043\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or -1695\/26146?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1020717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(1\/(189\/(-6))). Let s = -72 - v. Suppose 19 = -5*c + s. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3 - 81496*t**2 - 488949*t - 733410 = 0.\nAnswer: -81490, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from sooodttoooootdootdsd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + ((-27)\/15 + 8 - 8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 75*t - 4*f = -6, 3*t + 4*f = 58. Solve 4*v - 16 = -14*a + 16*a, 3*v - 5*a = t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30298097*m**2 - 2697457 wrt m?\nAnswer: -60596194*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4300*l**2 - 3256*l**2 + 8425*l**2 + 2 - 2.\nAnswer: 869*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080570746 rounded to four decimal places?\nAnswer: 0.0806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 + 11?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 79. Is 3663 + 2*(-6)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*y = -190*y - 836. Let z = y - 207. What is the third smallest value in -1, -5\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -516 - -1348. Let v = f - 464. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(76)\/sqrt(4) + sqrt(19))**2 + (sqrt(19) - (sqrt(1900)*-1)**2).\nAnswer: -1827 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 379 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110010001011000010110 - -1000?\nAnswer: 110110010001011000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-12))\/5*(-48)\/42.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.792 - -4.155. Let k = -0.094 - -0.157. Let u = k - o. Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94605.46 litres?\nAnswer: 94605460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/5 and -21\/2710.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 870140\/(-3245810) + (-6)\/(-51)*2\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o + 398. Let f be j(0). Let d = -7560\/19 + f. Let s = -7129\/4281 - 2\/1427. Sort -14, d, s in descending order.\nAnswer: d, s, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*c - 34. Let d(b) be the second derivative of 0*b**3 + 0*b**c - 2*b + 0 + 1\/6*b**4 + 0*b**2 - 1\/30*b**6. Find the third derivative of d(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-20)*(o*(o*o*o**0\/o)\/o)\/o**(2\/13)*(o**(-1\/10)*o**(-2\/21))\/((o\/o**3)\/((o*o\/(o**3*o))\/o)) assuming o is positive.\nAnswer: o**(26347\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -11*q - 2*q + 80. Is 157 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19890 - -219114\/11. Let o = 1329\/44 - d. Factor 3\/4*s**2 - 3\/2*s**3 + 0*s + o*s**4 + 0.\nAnswer: 3*s**2*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m - 5 + 2*m**2 + 5*m + 2*m + 3*m as d + z*m**2 + h*m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*s - 138*s + 7144 = 270*s for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 7040*v**2 + 7040*v**2 + v**3 - 3*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -10*v + 18*v. Let h(n) = 5*n**3 - 5*n**2 - 8*n. Let q(r) = r**3 - r**2 - r. Give v*q(d) + h(d).\nAnswer: d**3 - d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 6 = 27*q - 4*u, -3*q - 6 = -3*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 65 + 17 = 0. Put -5, 1, f, 1\/6 in descending order.\nAnswer: f, 1, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2302b - -17?\nAnswer: -23014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 964500 and 578700.\nAnswer: 2893500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010001 (base 3) in base 5?\nAnswer: -240310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 + 160. Does 11 divide (1 + 3)\/(20\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000639131388 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**3 - 10*v**2 + 6*v - 19. Let y(i) = -i**3 + 2*i**2 - i - 1. Determine b(a) + 6*y(a).\nAnswer: -2*a**3 + 2*a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.5993. Round n to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*i - 242*i = -29240. Is 34 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145867559 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -9. Let w(v) = -4*v**2 - 6*v + 6. Let h(z) = z**2. Let m(o) = -3*h(o) - w(o). Let s(u) be the first derivative of m(u). Determine s(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.72 + 2.52. Let u = -0.24 + m. What is the smallest value in 3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15758999, -15759001, -15759003, -15759005, -15759007?\n\"Answer: -2*s - 15758997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 90*o**2 - 1684*o - 46. Let t be j(-25). Solve 1437*u - t*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1276 divided by 9\nAnswer: 1276\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + 2. Suppose -32 = -4*b + 3*b - 3*s, 5*s = -b + j. Suppose 2*q - 4*q - 13 = -3*k, 0 = -5*k - q + b. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 9. What is g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154\/17? (a) -2\/9 (b) -3 (c) 1 (d) -1.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21130 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55553099901 + -0.5?\nAnswer: 55553099900.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12519 = 12519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3390.22 rounded to the nearest 10?\nAnswer: -3390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -1192*o**4\/3 + 33386*o**3\/15 + 14248*o**2\/15 - 8*o\/5 = 0.\nAnswer: -2\/5, 0, 1\/596, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2)*24\/15. Suppose -2*v**5 + 5*v**4 - 2*v**3 + 0*v**g + v**4 - 2*v**4 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19*2.1\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z + 12. Suppose -580 = -2*n + 3*l, 5*n = z*n - 2*l - 1144. List the prime factors of n.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336966 and 1848?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1056*v + 55*v**2 + 1056*v + (11 - 101 + 13)*(-2*v**2 + 2 - 2) in the form z + u*v**2 + k*v and give u.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjk when four letters picked without replacement from hpkjjjkjphp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 221*h**2 - 5*h - 61. What is the thousands digit of o(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -3. Let g be (c - 1)\/(-6 + 8). Let -4 + 13*k - 68*k**2 + g - 28*k - 48*k**3 - 15*k = 0. Calculate k.\nAnswer: -2\/3, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 3*u, o - 3*u + 9 = 4*o. Solve -o*g + 2*x + 8 = 2*g, 0 = -2*g - 3*x + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, 376, 1680, 3506, 5854, 8724?\nAnswer: 12116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6003173.479389 + -6003180. Let f = p + 6.52. What is f rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(900) - 1*sqrt(1296))\/(((sqrt(72) - (sqrt(72) - ((sqrt(72)*1 + sqrt(72) + sqrt(72))*1 - sqrt(72)))) + sqrt(72))\/sqrt(6)))**2.\nAnswer: 121\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2139*d + 86. Let q be l(-1). Calculate the highest common factor of q and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3228 = 2*c - 5764. Round c to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1672 by 1672.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 12558 = -63*t. Calculate the remainder when 1939 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:31 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -427\/5 - -85. Let i = -688 - -19255\/28. Let f = -5\/28 + i. What is the closest to f in 2, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2. Let r(n) = 1615*n + 1. Determine x(r(u)).\nAnswer: -13041125*u**2 - 16150*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 10 - 4 = 0. Solve -4*w + 4*n - 17 = 5*n, c*n - 2 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206081, -0.2, -2\/17, -27.\nAnswer: -206081, -27, -0.2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2309556286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -4)*(-27)\/48. Let s = x - -11\/4. Factor s*v**3 + 1 + 2*v**2 + 5\/2*v.\nAnswer: (v + 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69845c (base 14) to base 13\nAnswer: -98b725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m*m*m\/((m*m*m\/(m\/(m*(m**13\/m)\/m)))\/m*m))*m*m))\/m**(-17))**(-13) assuming m is positive.\nAnswer: m**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 957*s - 5691 + 906 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/21)\/(i*(((i*(i\/i**(8\/5)*i)\/i)\/i)\/i)\/i)*(i**(-5\/3))**(-1\/39))**(1\/32) assuming i is positive.\nAnswer: i**(3461\/65520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 11, 41, 91, 167?\n\"Answer: o**3 + o**2 + 6*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= 0.1309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/36)\/(10\/6))\/((-200)\/(-320)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10141410 - -24?\nAnswer: -10141342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + (sqrt(19) - sqrt(304)) + sqrt(19) - (0 + sqrt(2736))) + sqrt(171)\/(sqrt(9) - (-2*sqrt(72) - sqrt(72))\/sqrt(8)).\nAnswer: -51*sqrt(19)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-172)\/(-84) + -3)\/(60\/(-210)). Factor d - a + 1\/3*d**2.\nAnswer: (d - 2)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let n = c - 4. Does 18 divide (-2 - n)\/((-3)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-9380)\/780)*(4\/(-18) - 395\/45).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 4*c + 4. Let p(o) = 4*o**2 - 5*o - 5. Let f be (40\/25)\/(2\/(-5)). What is f*p(v) - 5*b(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*m**5 + 299*m**3 + 12*m + 237 wrt m?\nAnswer: 220*m**3 + 1794*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2. Let q(z) = 256*z. What is i(q(l))?\nAnswer: -131072*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.84 + 0.06. Let d = -0.5 - -1. Let t = d - k. Round t to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*j - 3*m + 41, 0*j + 3*j - 4*j + 6*m = -5*j + 98 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6*s**2 + 52*i**4*s**3 + 6*i**2*s - 5*i*s**3 wrt i?\nAnswer: 120*i**3*s**2 + 1248*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3221*u - 233*u**3 - 2167*u + 2186*u**2 + 16669*u**4 - 143 + 16667*u**4 - 2377 - 33331*u**4.\nAnswer: (u - 35)*(u - 6)**2*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6) + 13 + 3 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 174691*v. Let m(w) = -273*w**2. Determine t(m(n)).\nAnswer: -47690643*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129668 and 754432.\nAnswer: 8298752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -10 - 4) + 4 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -z - 34*q - 40, -2*z - 3*q + 91 - 125 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 5, 109, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 971751589685.22 + 0.03?\nAnswer: 971751589685.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/43, 0.3, 2\/3, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1814 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 23\/7) + (-30)\/(-114) and 135\/(-4275) - (-6)\/10.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = i. Suppose g + 45 = i*g. Suppose 3*r = g + 3. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1145, -3\/2, 3\/8, 4 in increasing order.\nAnswer: -3\/2, 3\/8, 4, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-6 - 776) - -5. What is the greatest common factor of u and 1485?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73950 in 0.05, 15, 2\/3, 0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6\/7)\/k)**(3\/22)\/((k*k*k**(-4\/5)*k)\/(k\/((k*k**20)\/k))) assuming k is positive.\nAnswer: k**(-8207\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6649 to 2 decimal places.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 25 - 14 = 0. Solve -5*m - r = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f - 98*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61553160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482 + 287 = -5*r + 11*s, r + 5*s = -4*r + 195 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-56 + -21 + 40 + -9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 1480\/13. Let s = 0.013 + -0.023. What is the fourth biggest value in s, 0.4, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 - 166*r**5 + r**4 + 1571*r**2 wrt r.\nAnswer: -240*r**3 - 9960*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*t = 3*r + 224*t + 7, -3*r - 19 = 2*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 1. Let o be t(1). Suppose 4*d - 2*h - 130 = 48, o = 4*d + 3*h - 153. Let f = 45 - d. Solve x + f*j - 7*j - 20 = 0, x + j = -5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 8*j - 18*j - 25*j in the form n*j + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-9) + 5*4\/90?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7569)\/29)\/(-29)*(-2)\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9721 is divided by 336.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - 10. Let m = -114 + 211. Let w = m + c. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6646990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a - 3*a)*(a + 7793*a**2 + 3 - 7796*a**2 - 2).\nAnswer: 6*a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + 1 + s - s + 3*s. Let q(j) = 2*j - 2. Let y(u) = -3*f(u) - 4*q(u). What is the remainder when 49 is divided by y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -43078*z - 732370. Determine l(-17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6. Let n(i) = -3*i**4 - 6*i**3 + 12*i**2 - 6*i - 6. Let q(t) = t**4 - t**3 + t + 1. Let m(r) = b*n(r) + 6*q(r). Determine j so that m(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3 - 71256*d**2 + 1640916*d - 1569656 = 0.\nAnswer: -17837, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 38. Let o be 180\/p - (-1 + 2\/2). Suppose -2*w = -3*v + 500, -o*v - 2*w + 676 = v. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m + 33. Determine f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvhx when four letters picked without replacement from xvhvxvvhxv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77061.1 rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 15. Let u be d(12). Let v(g) = 18*g**3 + g - 8*g**3 - 9*g**3 + 4*g**2 + 1 + 0 + 0. What is v(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-5)\/(-30))\/(2\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, -4 in increasing order.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 496 - 227. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -3, 5, -8, -87 in descending order.\nAnswer: 5, 4, -3, -8, -19, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -99, -153, -239, -363, -531, -749?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 5*z - 4*z)*(1 - 1 - z) - 4*z**2 - 17*z + 17*z + (-2*z + 0 + 0)*(-2*z + 3*z + 0*z) in the form d*z + w + q*z**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -5*w**7\/126 - w**6\/12 + w**5\/5 - w**4\/9 + 4*w**2 - 7. Let f(u) be the second derivative of q(u). Let f(a) = 0. What is a?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133647836 to the power of 1\/2, to the nearest integer?\nAnswer: 11561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 866*r + 50258. Determine b(-54).\nAnswer: 3494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94452.9 weeks in minutes?\nAnswer: 952085232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/2489125 and 1\/375.\nAnswer: 7467375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 219\/6 - 2\/(-4). Let y = q + -26. Suppose -y*o + 20 = -9*o. What is the least common multiple of 12 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-4) + 10\/20. Suppose 0 = -a*p - 0*k + 4*k + 118, 2 = -k. 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: Let f = 14012284758380.99827 + -14012360392485. Let j = 75634486 + f. Let t = -382 + j. Round t to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14. Let w(f) = 4*f - 873. Give -5*j(z) - w(z).\nAnswer: -4*z + 803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 25. Suppose -5*f = -g + o, 2*f = 2*g + 2*g - 152. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 44293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13251?\nAnswer: 3, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {f: 5, x: 3, m: 2, k: 3, h: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.1845 to the nearest integer.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-30))\/((-104)\/80)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 458*s**2*t + 92*s*t**3 - 4*s*t**2 - 1292605*t**3 - 2*t**2 + 3*t - 3 wrt s?\nAnswer: 916*s*t + 92*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, f: 2}. Give prob of picking 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 132*u**2. Let c(a) = -16*a**2. Determine o(c(m)).\nAnswer: 33792*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166015236*c**2*q**2 - 2*c**2 + 3*c*q - 20*c + 101882*q wrt q?\nAnswer: -332030472*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 41*y + 38. Let s be x(11). Suppose -5*r + 137 = 377. Let v = s + r. Calculate the remainder when 90 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1443?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.007 + -21.993. Let b = 13 - l. Let i = 35.00000216 - b. What is i rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3213293.45 to the nearest 100.\nAnswer: 3213300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469396 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2528192 (base 12) in base 14?\nAnswer: -d74058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.30000266 - 7.3. What is n rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7789055 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11327 is divided by 9369.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 32\/(-8) + 1. What is the third smallest value in -3\/8, k, 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417385.\nAnswer: 3, 5, 161159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3959954, 10 in increasing order.\nAnswer: -3, 10, 3959954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15149417923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-5)\/3 - -3). Calculate the remainder when 11 is divided by (-1)\/2*(-2 - n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/12 + t**3\/2 + 5*t**2\/2 - t. Suppose 2*y + 18 = -y. List the prime factors of f(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 633726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/12 + y**3 - y**2\/2 - y. List the prime factors of f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 6 (c) -1 (d) 3\/7 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbkb when four letters picked without replacement from kbkbkkbbbbbk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 10*f - 14. Let x be h(8). Let i(d) = -28*d. Let n(p) = -27*p - 1. Let m(y) = 4*i(y) - 3*n(y). Let o be m(x). Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/3 - q**2\/2 + q + 5. Let w(x) = -2*x**3 - 6*x**2 + 6*x - 4. Calculate -6*m(h) - w(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267645660*q - 1649 - 5216*q**3 - 267645660*q wrt q.\nAnswer: -15648*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = 20*m. Let i(d) = 91*d**3 - 3*d**2. Let s be i(2). Suppose m = -7*a + 425 + s. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 42 = -4*l + 2*l, -3*l = 4*j - 63. Let m(a) = -a - 1. Let q be m(-7). What is the greatest common factor of q and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*w - 14, -60954*w + 3*v + 66 = -60966*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21128, -21126, -21124, -21122, -21120, -21118?\n\"Answer: 2*s - 21130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 6\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doii when four letters picked without replacement from {o: 5, d: 1, i: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267904 and 3068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 112869232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/555 + -563\/4440. Sort -4, 3, 1\/4, p in descending order.\nAnswer: 3, 1\/4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163\/5 + 33. Sort y, 0.1, -6 in decreasing order.\nAnswer: y, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**2*z**3 - 78*u**2*z - 321*u**2 wrt z.\nAnswer: 9*u**2*z**2 - 78*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 275*p**4 - p**2 - 251*p + 9. Let n(l) = -137*l**4 + 125*l - 4. Let h(d) = 5*n(d) + 2*u(d). What is the second derivative of h(a) wrt a?\nAnswer: -1620*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989977.8 decades in years?\nAnswer: 9899778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 1138 + q**2 + 1156 to o*q + v + d*q**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 72 - 18 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-45)\/15)\/(6\/(-8)). Suppose -k - 3*a - q = -a, -a = 4*k - 12. Suppose 2*x = 4*y + 18, k*y = 3*x - 4*x - 21. Does 2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -30.2. Let r = 16.20000071 - u. What is r rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 9*u**2 - 8*u + 7. Let f be o(-8). Let p = 3 + f. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 458*c**2 + 3647 + 4507 - 6455 wrt c?\nAnswer: 916*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 4:34 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -896 - -1547. Suppose u = -0*j + 3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.91 - 0.09. Let c = 0.3 - -2.1. Let b = d + c. Is 0 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0 - 24. Let z be ((-2)\/x)\/((-2)\/(-18)). Solve 3*m - 3 = -3*h, 2*m + 3*h = z*m - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i - 5*i + i**2. Let r(k) = 1. Let v(w) = -w - 9. Let g(t) = 18*r(t) + 2*v(t). Determine x(g(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/120 + m**4\/24 + m**3\/2 - 3*m. Let t(k) be the second derivative of d(k). Let w be t(1). Solve p + w*p = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*j**2 + 402789*j - 201393*j - 201396*j.\nAnswer: 307*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, -122, 5.\nAnswer: -122, -2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18854145*q**2 + 14574320*q wrt q.\nAnswer: -37708290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v, -1108*v = -4*c - 1109*v + 48 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 - 19*i**4 + 374*i**3 + 996*i**2 - 10440*i - 21600 = 0. Calculate i.\nAnswer: -30, -5, -2, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94011, -188803, -283609, -378435, -473287, -568171, -663093?\n\"Answer: -d**3 - d**2 - 94782*d + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r**2 + 2*r. Suppose -4*n - 1 = -9. List the prime factors of b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*y - 22*y + 7*y)*(-2*y**2 + y**2 + 3*y**2 + (-2 + y**2 + 2)*(3 + 1 - 3) + 5*y**2 - 3*y**2 + 0*y**2) as l*y + u*y**2 + w + j*y**3 and give j.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 113 = 313. Suppose y - 432 = -c. List the prime factors of y\/14 - (-2)\/7.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eunualauuauauluuluul. Give prob of picking 1 u and 1 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*l, -4*v - 10*l + 56 = -5*l for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003233 (base 6) in base 7?\nAnswer: -255120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1643*0.077.\nAnswer: 126.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 242, 266, 298, 338, 386?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*d + 190 = 0, 3*d + 2*d = 2*v + 93. Let t be 349\/10 + v\/(-340). Calculate the greatest common factor of 280 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/4 - 34*i**3 + 6651*i**2\/4 + 3393*i\/2 = 0 for i.\nAnswer: -174, -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s + 52310. Let h(t) = -7*t. Give h(c(p)).\nAnswer: -28*p - 366170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j**2 - 34. Let q(u) be the third derivative of 0*u**4 + 0 - 6*u + 30*u**2 - 1\/2*u**3 - 1\/60*u**5. Give 6*k(y) - 68*q(y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u + n, 0 = 2*u + 5*n - 14 - 12. Suppose -77 = -u*p + 19. Calculate the least common multiple of 2 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73112 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22647 + 204*a**2 + 22647 as o + d*a**2 + t*a and give d.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 14*w - 13*w = 3*a - 25, -2*a - 29 = w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19036)\/1812)\/((-3)\/9). Let z be 2\/604*((-600)\/(-15))\/(-8). Let d = j + z. Calculate the common denominator of 137\/48 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v**2 - 7*v - 2. Let p(a) = -2 + 0 + 4 - 3*a - 6*a + 2*a**2. Let i be p(6). Suppose 4*n + y + i = 0, 1 = -n - 2*y - 4. What is x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -442*d**2 + 12*d + 24. Let m(w) = -442*w**2 + 11*w + 18. Determine -3*f(o) + 4*m(o).\nAnswer: -442*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d**5 + 1579*d**4 - 6129*d**3 - 2687*d**2 + 4134*d - 872 = 0. Calculate d.\nAnswer: -109, -1, 1\/3, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2842\nAnswer: -2842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13101 - -13103. Put 7, -2, m, 4, 24 in increasing order.\nAnswer: -2, m, 4, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 6 + 6. Let l = 1 + k. Let w(t) = 2*t**2 + t - 2. Let h(z) = -3*z**2 - 2*z + 3. Let r(v) = l*w(v) - 3*h(v). Determine r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014211233 (base 5) to base 13.\nAnswer: -abc2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59447*y**3 + y**2 - 59428*y**3 + 0*y**2.\nAnswer: 19*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from fiiiffi.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003822047 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4*(-16)\/(-12). Let m be -2*(-1 + 0) + t. Let r(j) = 4*j**2 - 3*j + 2. Let c be r(2). Solve c = -m*y + y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2530, 2552, 2588, 2638, 2702, 2780, 2872?\n\"Answer: 7*k**2 + k + 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 101. Let w be -177*((-6 - v) + (-6)\/(-1)). Does 22 divide 4 + 7\/((-21)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-15)\/(-4)))\/((-49)\/(-6468)*-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1381 divide 57941108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -55. What is the lowest common multiple of 18 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 8*c = -18. Let f(m) = -m**3 - 7*m**2 - 4*m + 7. Let a be f(c). Let g be (6\/(-10))\/(-3 - 14\/a). Solve 2*q - 1 = -g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 3262. Let s(i) = -i**2 - 2. Determine s(n(b)).\nAnswer: -9*b**2 - 19572*b - 10640646","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2. Let h(a) = 293*a + 6 - 6 - 304*a. Determine n(h(v)).\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 5. Let a be p(4). Solve w + 5*s = a*w - 19, 25 = -5*w - 2*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -366.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2340795 by 97.\nAnswer: 2340795\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-18) + (-30)\/(-10) + (44772\/(-351))\/(-28).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56\/3 - -18. Let d = -1.4 + 4.9. Let p = 3 - d. Which is the third biggest value? (a) z (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from vyjzmiyi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - 2*h + 2*h + (0*h + 0*h - 2*h)*(-45 + 1 - 21) + h - 3 + 3 + (2 - 4 + 1)*(h + 2 - 2).\nAnswer: 126*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = 11 - 95. Let y be 42 + -43 - n*(-3)\/11. Factor 26\/11*a**2 + y*a**3 + 8\/11*a - 8\/11.\nAnswer: 2*(a + 1)*(a + 2)*(5*a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*1 + 2 + sqrt(14)\/sqrt(2).\nAnswer: 2 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:40 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -376 (base 8) to base 3\nAnswer: -100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7454.514 hours in milliseconds?\nAnswer: 26836250400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 18*k - 12. Let h be 3\/((-3*k\/(-135))\/2). Let g = h + 84. What is the greatest common divisor of 429 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Suppose 4*c + 4*q - 31 = -7, -3*q - 12 = 0. Let i = c - 5. Sort i, 4, x in decreasing order.\nAnswer: i, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99427.\nAnswer: 19, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3369 and 164838432?\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 220889, 220842, 220763, 220652?\n\"Answer: -16*m**2 + m + 220904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -6749565?\nAnswer: 6749542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p\/p**(4\/7))\/p))\/p)\/(p\/((p\/(p*p**31))\/p))*p**15*p**1)**(-3\/13) assuming p is positive.\nAnswer: p**(345\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 594805*h**5 + 656935*h wrt h.\nAnswer: 11896100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t + 199. Let o be n(14). Sort o, 4, -3, 7 in decreasing order.\nAnswer: 7, 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201429 bigger than -201475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96\/(-128) + 44188\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859469 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2 - 3*b)*(15*b - 15*b - 13*b**3).\nAnswer: 39*b**4 - 52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 12. Let s be u(14). Let m = -24 + s. Suppose -4*n + m = -74. Solve 7*y = 2*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Let r(i) = -6*i + 16. Let j(y) = r(y) + 10*z(y). Let x(b) = 5*b + 7. Let m = -9 + 7. Let f be 6*(-1 - m) - 1. Give f*x(k) - 6*j(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 8*a + 9. Let f be m(-6). Suppose -8 + 0 = 2*p. Let t be (1 + -3)\/(p\/(-6)). Is t at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0 - (33 - 39)) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 575, -16, -7, -18 in increasing order.\nAnswer: -18, -16, -7, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f**3\/4 + 111*f**2\/2 - 153*f\/4 - 31\/2 = 0.\nAnswer: -2\/7, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.8609 microseconds in minutes?\nAnswer: 0.000001281015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 + 2289\/255)\/((-1)\/5). Let l = -17 - -16.95. What is the nearest to l in y, -5, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-28) - (-137596)\/(-14). Suppose 3*s + 2*a + 27224 = 2*s, s + 4*a = -27220. Let r = s - d. What is r rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903018851.\nAnswer: 7, 129002693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9754.581ms?\nAnswer: 9.754581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 1 + 35. Let l be 4\/z*(2 + -2). Suppose l = v + 8 - 47. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-2)*(-136)\/25194*-57?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -305*j**4 - 22*j**3 + 3*j**2 - 41*j - 24. Let a(x) = -x**4 + x**2. Let i(g) = 3*a(g) - y(g). What is the second derivative of i(k) wrt k?\nAnswer: 3624*k**2 + 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*y - 25 = 0, y - 2 = -x + 3. Let d be (-15)\/2 + 1\/2. Put x, 1, d in increasing order.\nAnswer: d, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4988 - -4988. Let n(k) be the third derivative of a - 1\/54*k**4 + 0*k + 1\/270*k**5 - 1\/9*k**3 - 14*k**2. Factor n(h).\nAnswer: 2*(h - 3)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 10317 + 11432 + 16*t - 3817 + 9*t.\nAnswer: -t**2 + 25*t + 17932","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1072 divide 31990624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 2. Let r be x(0). Find the third derivative of 2 - 2*o**2 - 1 - r + 31*o**3 - 130*o**3 wrt o.\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -ee167?\nAnswer: ee162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + -5 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.3 minus 0.22?\nAnswer: 244.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 16) in base 6?\nAnswer: -2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101514 and 10122.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 190818, 763256, 1717318, 3053004, 4770314, 6869248, 9349806?\n\"Answer: 190812*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.2 (c) -7 (d) 365\/2 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.87512228 - 0.27508588. Let u = 11.6 - t. What is u rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/11 + 12*j\/11 + 13\/11.\nAnswer: -(j - 13)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 271 divided by 24\nAnswer: 271\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -404 + 406. Let f be (27\/7 + 2\/14)\/t. Which is the nearest to -4? (a) 2\/15 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - ((-4 - 12) + -2 + 10)) + 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/5 (b) 580 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from ueuuweeslw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 22. Solve 3*d - 5*d = -y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 2049, 2795, 3343, 3681?\nAnswer: 3797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243667777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123525 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 < 1580\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-60)*(1088\/552)\/(-17)\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26720*q**3 - 20*q**2 + 2219*q - 312.\nAnswer: -160320*q - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.096 and 6084260757.\nAnswer: 6084260757.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 10. Suppose 3*p = 2*u + 9, -9 = -2*u - 2*u - 3*p. Suppose 3*o = -4*s + 57, 4*o - 2*s = -4*s + 66. Solve 2*i - w*i + o = u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326106 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1678 + 1681. Solve 7 = f + 2*g, -n*g + 10 = -g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-5) - 24\/40. Suppose -2*b - h = -13, c = -3*b - 3*h + 11 + 1. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 26. Suppose -12 = 10*u - h*u. Solve 0 = -u*b + 4*v, 2*b + 6 - 2 = 4*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00758 - -0.003275. Round r to 4 dps.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 107. Solve 3*t + 3 = -v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-34))\/(963 + -964).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 20*v + 2. Calculate t(23).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -127, -191, -255, -319, -383?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (348\/29 - (0 + 0)). Solve 4*a - 6*a + n + 8 = d, 4*a = 3*n + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + (sqrt(275) + 2*sqrt(275) - sqrt(275)))**2 - sqrt(121)\/(sqrt(55)\/sqrt(5)*-1)).\nAnswer: 122*sqrt(11) + 2218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (9 + -1 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**3 - 5*k**2 + 7. Let x be t(3). Suppose g - x = 81. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 1752, 3872, 6840, 10656, 15320?\nAnswer: 20832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8\/7, -0.21 in ascending order.\nAnswer: -8\/7, -0.21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 21*k**2 - 25*k + 63. Give f(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((38 - 24)\/28)\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 1. Suppose 0 = -7*f + 2*f + 15. Let x(k) = k**3 - 4*k**2 + 4*k - 4. Let d be x(f). Determine v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 0.17. Let p = -0.3 + v. Suppose r + 6*k - 2 = 7*k, -3*k + 3 = 0. What is the closest to r in -0.4, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 454*g + 4*g**3 + 489*g - 19 - 8*g**3 + 8*g**2 + 18 to the form n*g**3 + o*g**2 + w + i*g and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(1*sqrt(10)) + (sqrt(40) - ((sqrt(2560)*2 - sqrt(2560)) + sqrt(40))))\/((sqrt(16) + sqrt(48)\/sqrt(12))\/(sqrt(12)\/sqrt(54))).\nAnswer: -14*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (8 - (10 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from ddwdwd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245 (base 7) to base 2.\nAnswer: 10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6608 and 6018.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 4}. Give prob of picking 1 m and 1 q.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*d + d**4 - 15*d + 320*d**2 + 36*d - 12*d**2 + (2*d**2 - 3*d**2 + 3*d**2)*(0*d**2 + 2*d**2 - 3*d**2) - 2*d**4 - d**4 + d**4.\nAnswer: -3*d**4 + 308*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1209549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2)*2 + sqrt(2)*3 + 1.\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 11) to base 14\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b + 12*b + 2*b to the form z*b + c and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(32)*3).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 343.58 - 7.58. Let x = 88 - n. Is x less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845655 is divided by 4832?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13448, -26898, -40348, -53798?\nAnswer: -67248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 0)\/(-1) - 3. Suppose 4 + 4 = x*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3628\/(-628) + 7 - 0. Let g = y - 22871\/1884. Calculate the common denominator of g and -73\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-158)\/553)\/((-6)\/7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 35*m + 361. Determine z(-8).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 + 1 = 0. Let j(z) = 17*z + 2. Let s be j(k). What is the units digit of 122\/3 - (-10)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1973410.\nAnswer: 2, 5, 197341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - -69287716483.\nAnswer: 69287716456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (-845 + 814 - (-57 - -1))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-4 - (-11 - -6)). Let z(p) = p**2 + 3*p + 1. Let q be z(-3). Let h be q + 1 - (3 - 1). Solve u + x - 8 + 0 = 0, -t*u + 5*x = h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8*l - 20. Suppose 0*u - 3*u = d - 58, 3*u = l*d - 254. Suppose 0*a - d = -2*a. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-2 + -3 + sqrt(288) + 1 + 4 + (1 + (sqrt(288)*-1)**2 + sqrt(288) - sqrt(288)) + sqrt(288) + (3 + -2*sqrt(288))**2 + sqrt(288).\nAnswer: -132*sqrt(2) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1198 + -1195. Let j = 179 - 275. Let s be (-2)\/10 + j\/20. Sort s, l, 5 in decreasing order.\nAnswer: 5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 4*q - 0*q. Suppose -3*a - 17 = -q. Solve -5*n = 2 - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 16280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 230? (a) 4 (b) -5 (c) -4\/457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4. Let h be -1 + -1 + 2 + 4. Let m be t(h). Solve 2*y - z = 2, -4*y - 5*z + 0*z + 4 = m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n - 3025420 + 3038644 = 0 for n.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/(-12) + 0 - -6. Which is the closest to 18? (a) 0.2 (b) t (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -379, -371, -361, -349, -335, -319?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g - 30*g + 48 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j + j + 0*j**2 - 2. Suppose -5*b - 2*f + 22 = 0, f + 2 = -2. What is the remainder when 65 is divided by v(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.5, 3\/5, 0, -5, 157\/3, 17?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 189*l**3 + l**2 - 65*l. Let d(w) = w**3 + w**2. Let f(y) = -a(y) + d(y). Find the second derivative of f(c) wrt c.\nAnswer: -1128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104534 is divided by 845.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(3\/(-15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4\/12 + 2*h**3 - 3*h**2 + 13*h. Let l be r(8). Let b = -17 + l. Calculate the lowest common multiple of b and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 383, 381, 379, 377, 375, 373?\n\"Answer: -2*p + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111011000100 (base 2) in base 6?\nAnswer: 131232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1419 and 41667.\nAnswer: 458337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -45. Suppose -6*q = -5*q - i. Which is the third biggest value? (a) -1\/6 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.357569 litres in millilitres?\nAnswer: 357.569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -4802.216586655.\nAnswer: 4802.016586655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.47948255 rounded to 3 decimal places?\nAnswer: 2.479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*d - 77 = 0, s + 0*s + 31 = d. Let j = 94 + s. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 3)*(0*q**2 + 0*q**2 - q**3).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-21)\/(-6))\/((-5)\/(-10)). Let s(b) = -129*b - 130. Let x(k) = -65*k - 64. Let j(v) = p*x(v) + 2*s(v). Find the first derivative of j(w) wrt w.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89.1 + -90.1. What is the nearest to 0.1 in -18, -5, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 452\nAnswer: 36.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13033, 13030, 13025, 13018?\n\"Answer: -m**2 + 13034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1)*63\/(-945). Which is the fourth smallest value? (a) -5 (b) 2\/7 (c) m (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 2*b**2 + b - b**2 - 8 + 3*b. Let m = 13 + -6. Calculate the least common multiple of m and c(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265089 and 318681?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psvsbirprsvsis. Give prob of sequence vbs.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31430*d**2*m + 30039*d*m wrt d.\nAnswer: -62860*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -32*s + 4. Let z be a(-3). Let v = -84 + z. List the prime factors of 6825\/168 + 6\/v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71883\/(-2445) + (-44)\/(-10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*s - 6*s - 6*s)*(s**3 - 2*s**3 + 26*s - 32*s) in the form k + i*s**2 + j*s**4 + a*s**3 + c*s and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 43) + (7 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7019.492 millilitres in litres?\nAnswer: 7.019492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 16*y + t + 53 = -68 + 39, 0 = -y - 3*t - 266 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/6 - 4*h**2 - 6*h. Let p = -71 + 42. Let q = p - -29. Calculate z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -0.01. Is t less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-329.1\nAnswer: -65.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 907*t**2. Let c(q) = -2*q**2. Calculate c(h(m)).\nAnswer: -1645298*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 377*a - 565. Give b(190).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 - -147. Let g be 2\/9 + (-442)\/i. Solve -3*m + g*c = 5, -4*m = 3*c - 0*c - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138555\/4 + -35500. Suppose 0 = -3*f + 4*n + 2549, n = -3*f - n + 2537. Let c = j + f. What is the common denominator of -71\/22 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b + 153. Let v be m(-13). What is the remainder when (-4 + 3)*-1*(v + 53) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.063\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + k - 5*k - 18*k**2 to the form s*k + t + g*k**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 + -6.3. Which is the second smallest value? (a) 0.4 (b) p (c) -2\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001000000000 (base 2) to base 8\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227?\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/1181 or -496?\nAnswer: 13\/1181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 145. Let j be a(-36). Suppose 5*m + 26 = 51. Suppose 4*v - 11 + 2 = -m*o, 2*v - 1 = o. What is the highest common divisor of v and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 + 6\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*k**5 - 54*k**4 - 2*k**3 - k**2 + 452*k + 6?\nAnswer: 1560*k**2 - 1296*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764200*f + 5 - 43705*f + 6.\nAnswer: -807905*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 400 + -390. Let i = 10.4 + -10.3. Put -2\/7, s, 2\/9, i in descending order.\nAnswer: s, 2\/9, i, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 55, 66, 93, 142?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/7626168 and -137\/127102800.\nAnswer: 381308400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r. Let b(s) = 151*s - 6. What is o(b(i))?\nAnswer: 3322*i - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 4 + 350*g.\nAnswer: 350*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, and 1 m when three letters picked without replacement from omsnomtr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 + 8 + 1. Suppose f - 71 = -c. Suppose -q - 2*b = -45, 0 = -2*q + 6*b - 3*b + f. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442496 and 43392?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 14*c**2 - 11*c + 35. Let p be g(-15). What is the units digit of 188*(p\/(-4) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 80 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -210212 (base 3) to base 5\nAnswer: -4330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1. Let s(z) = -6*z - 38. Give 5*n(w) - s(w).\nAnswer: 6*w + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 7\/160*t**6 + 0 - 1\/40*t**7 - 3\/448*t**8 + 3\/80*t**5 + 0*t + 0*t**4 + 14*t**2 + 0*t**3. Suppose k(o) = 0. Calculate o.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/(-3*80\/(-36))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18043?\nAnswer: 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(2057) + -2)*-2 + -5)**2 + 3.\nAnswer: -132*sqrt(17) + 8237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4843636?\nAnswer: 2, 7, 172987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110.788 + 0.212. Let h = -111.5 + s. Put h, -0.4, -5 in ascending order.\nAnswer: -5, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from {x: 3, t: 5, o: 3, p: 7, i: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12068029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Suppose r = -1 + w. Let u be (-2 - (-2 + r))\/(-3) + 2. Which is the closest to -3? (a) 0.3 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*(-48)\/28.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 158. What are the prime factors of m?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52599 + 472?\nAnswer: 53071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 34 = 3*s, 2*s + h + 2*h = 31. Let v(k) = 2*k - 6*k + s*k. Let b(o) = 2*o. Determine b(v(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14669.9 + -14670. Let x be (-2)\/(-2) - 3\/5. What is the nearest to z in x, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, -8.\nAnswer: -8, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 2}. Give prob of sequence yay.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -1264 + 166. Find k, given that 48*k**2 + 57*k**3 + 16*k - t*k**3 + 90*k**3 - 28*k**4 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3097, -4851, -6605, -8359?\n\"Answer: -1754*s - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24622*m**2 + 12465 wrt m?\nAnswer: -49244*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 801 - 1693\/2. Suppose 0 = o + 4*x + 2 + 4, -5*o + 5*x + 45 = 0. Calculate the common denominator of q and (-474)\/36*o\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 562 + -557. Suppose k + 0*w + n*w = 23, -k - 2*w = -20. Solve -k = -9*v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4276*s - 1 + s**2 + 1535*s + 1151*s.\nAnswer: s**2 + 6962*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -217*s**6\/120 - s**5\/60 - s**4\/8 - s**3\/3 + 4*s**2 - 3*s. List the prime factors of k(-1).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 24*r - 2. Let k be z(-24). Let j(i) = -27*i**3 - i**2 + 3. Let c be j(k). Let 220*d**4 + d - d - 10*d**3 + 5*d**2 - c*d**4 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196.4 - 189. Let b = 6.4 - c. Sort b, 0, 4, -3 in ascending order.\nAnswer: -3, b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 8*k**2 - 8*k - 1. Suppose -5*x - 5*i - 55 = 0, -2*x - 2*i = -4*x - 6. Let a be l(x). Suppose a = -6*m + 12. Solve -m = q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 91*n + 466. Determine y(41).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 17. Determine g(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let r be (-2)\/11 + (-108)\/(-110). Which is the closest to v? (a) 0.3 (b) 1\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/184 and -123\/1288?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 27*w + 39. Give n(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 5*v**3 - 2*v + 6*v**3 - 3*v**2 + 6*v. Let r be h(5). Let q be 1\/(-18)*80\/r. Which is the second smallest value? (a) -4 (b) q (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/((-1)\/(-2)). Suppose 2*d = k*d - 14. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/2*(-1 + 3) + -5. What is the biggest value in 7, j, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398707257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -5351726.\nAnswer: -112386246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 plus 780?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303420060 - 5?\nAnswer: 303420052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -44, -162, -390, -764?\n\"Answer: -6*b**3 - b**2 + b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:09 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2846, -7253, -19210, -42491, -80870, -138121, -218018?\n\"Answer: -629*x**3 - x**2 - x - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198267361?\nAnswer: 467, 1097, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 take away 9568?\nAnswer: -9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88172095.\nAnswer: 5, 11, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223351615, 223351614, 223351613, 223351612?\nAnswer: 223351611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u**2 + 525*u - 14. Determine f(-35).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137305 (base 9) in base 8?\nAnswer: -2262144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(4\/8 - -1). Let k(u) = 2 - 20*u**y - 4*u + 43*u**2 - 24*u**2. What are the prime factors of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1118 - 25?\nAnswer: -13.8882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1630 in 2\/11, 222, -2\/9, -17.1?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -18*m**2 - 9*m**2 - m + 26*m**2 + 0*m - 4. Determine k(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/8 - 3*n**4\/8 + 3*n**2\/8 + 1044. Determine s so that h(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -5*h**8\/336 - h**7\/105 - h**6\/600 + h**2 - 3*h. Let l(r) be the first derivative of n(r). Solve l(z) = 0 for z.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4827 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 15 = 2*z, 0 = -4*q - 7*z - 6 - 128 - 73 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188 + 44 - 188)*(2*l**2 + 2*l**2 - 3*l**2).\nAnswer: -332*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/11 - 12\/11*b - 2\/11*b**4 - 8\/11*b**2 + 12\/11*b**3 = 0 for b.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a. Let o(m) = -35*m. Let n = -19 - 2. Let z = 17 + n. Let l(t) = z*o(t) - 21*q(t). Let r(y) = -y**2. Determine r(l(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 9. Let w(p) = -21*p + 46. Let b(g) = -11*c(g) - 2*w(g). Let s = 38 - 44. Let i(v) = 3*v - 13. Let r(h) = s*i(h) - 11*b(h). What is r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 18. Let f(v) = 157*v + 3. Let x be f(g). Suppose -5*q = -2*n - 2*n - 288, -3*q - 4*n = -x. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86, -291, -622, -1079?\n\"Answer: -63*h**2 - 16*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 88*v**2 - 2*v + 84. What is y(44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*w = -12, 3*x + 4*w = -13 + 71. Suppose 0 = x*c - 13*c - 68. Is c < 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441344443 + 3?\nAnswer: 441400001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 518856 divided by -24?\nAnswer: -21619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*g - 36*g + 295. What is the remainder when g is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + 8)\/105*(4\/3 + 1). What is the nearest to 1\/2 in j, 1\/7, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 71, -5 in descending order.\nAnswer: 71, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22557358 is divided by 3759558.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 339562 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - ((1 - (-3 + (6 - 6))) + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2*3\/(-12)). Let p(u) = -u**3 + 9*u**2 - 5*u + 1. Let h be p(9). Let t be (-1 + (-20)\/h)\/(0 - 2). Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-5))\/(18\/60). Let g be 2 + 2*((-28)\/a - 2). Solve -g*q - 24 = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7748.241l?\nAnswer: 7748241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 16. Let q = -38.091 - -0.091. Let j = -38 - q. Which is the nearest to j? (a) 2\/7 (b) -3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f1415 - 4?\nAnswer: 7f1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 4) - (-23 - -30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6) + 10 - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 641223.7m?\nAnswer: 641223700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/(-120))\/(4\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79 - -28) + 36 - (2 + -36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 567*f**3 - 3*f**2 + 36*f + 10. Let u(z) = 566*z**3 - 2*z**2 + 34*z + 8. Let t(g) = -2*b(g) + 3*u(g). What is the second derivative of t(r) wrt r?\nAnswer: 3384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by (-109 - -105)\/((-8)\/42).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.3 + 1.7. Let u = v - 11.1. Which is the closest to u? (a) -0.5 (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three quarters of a millennium?\nAnswer: 99000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5 + 22*y**4 - 14*y**3 - 222*y**2 + 216*y = 0?\nAnswer: -3, 0, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Calculate n(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/117 and 46\/1053*(-96)\/(-112).\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 18768 = -246*c - 142*c - 132*c for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 12:06 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 2*n**2 - 3*n + (-166*n**2 + 855*n - 855*n)*(1 - 4 + 2).\nAnswer: 168*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 6*o**2 + o. Let i(p) = -4*p**3 - 19*p**2 + 4*p + 80. Determine -3*g(b) + i(b).\nAnswer: -b**3 - b**2 + b + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-15) + 171\/15. Let y be 122\/28 + 18\/l. Let u = -6 + y. What is the biggest value in 1, u, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/175, 72636, -8 in ascending order.\nAnswer: -8, -1\/175, 72636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j - 22*j + 15 + 10 - 2 - 5 + 14*j**2 + j**3. What is r(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*105\/(-25). Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 336*y + 9408.\nAnswer: 3*(y - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7) + 1 + 2 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p - 95 - 8*p + 8*p - 3*p - 2*p**2 wrt p.\nAnswer: -4*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 31424.\nAnswer: -942720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -92. Suppose -3*y = 4*p - l, -p + 0*p = 1. What is the lowest common multiple of y and 10 + -2 + (-2 - -2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6922 is divided by 434?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 28*x - 574. Let l(g) = -2*g**2. Calculate m(l(a)).\nAnswer: -56*a**2 - 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83484, 83516, 83568, 83640?\nAnswer: 83732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 14?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 51. Let a(o) = 172*o. Calculate a(u(n)).\nAnswer: -344*n - 8772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 789613912 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -8. Let q(g) = g**3 + 7*g**2 + 4. Give q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(2160) + sqrt(2160)*2 + sqrt(2160))\/(sqrt(12)*1).\nAnswer: 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14675004 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115092 and -2.\nAnswer: -230184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 11. Let c be 3 - 4 - -2 - h. Solve 22 = -3*u - 2*r, -6*u - 32 = -3*u + c*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2657142 by 3.\nAnswer: -885714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in 3, -1, 53, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(18\/15 + -1). Suppose -1 + s = 2*f. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g - 18 + 13 + 5.\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*s = -2*s + 23, 5*h + 4*s = 129. Suppose 3*x + h = 5*y, 0 = -3*x - 7 - 8. Let c = -44 + 48. Calculate the least common multiple of y and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.016 + -2.684. Let w = 3 + p. Put -0.4, -0.2, w in descending order.\nAnswer: w, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -473*l. Suppose 4*d - 4 = 0, 2*h + 23 = -2*d + 3*d. Let u(t) = 158*t. Let b(c) = h*u(c) - 4*m(c). Let k(w) = w. Determine b(k(s)).\nAnswer: 154*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - g)*(-5520 + 1663 - 5013).\nAnswer: 8870*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243 + 503 + 243)*(2 + 0 - 3)*(-3*b + b + b).\nAnswer: 503*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29601730559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a73 - -23a?\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 10*s - 16. Let q be i(7). Suppose -3*n = q*m - 335, 3*n - 2*m = 2*m + 299. What is the greatest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 + -143. Let m be (h\/126)\/((-2)\/12). What is the third smallest value in m, -2, -18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202584 plus -2078.6?\nAnswer: -204662.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 1203367 = -2046633. What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8 = -10*s. What is the closest to 0 in 2\/3, -1, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from dddwdddddddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*h - 1274*h - 1274*h + 5096*h - 1274*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 - b**2 + b + 1. Let o be k(-1). Let u be (4\/2 + o)*-1. Find the common denominator of (0 + -9)*(-27)\/u and 31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + r**2 - 10 + 4 - 4*r. Let o(p) = p**2 - 2*p - 7. Let t be o(5). Let q be g(t). Solve -2*a + q*d = -6, 2*a - 6 = -2*d + 5*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.01438 and 20412.\nAnswer: 20417.01438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7)*65996\/47140?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 137*p**2 + 13833*p - 528. Determine a(-101).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 11*f = 0. Let i(v) be the second derivative of 1\/6*v**3 - v + f + v**2. What is i(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -45. Let a = s + -56. Let g = -33 - -33.4. Put g, a, 3 in decreasing order.\nAnswer: a, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(9\/(-12) - -1). Suppose -2*t + v = 9, l*t + 4*v = 3*t. Which is the nearest to 4? (a) t (b) -0.4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*b**3 - 931*b**3 - 839*b**3 - 1652*b**3 + 263*b**3.\nAnswer: -3092*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (18\/21)\/((-3)\/(-14)). Suppose 0 = -2*n + j*z + 6, 2*z - z = 5. What is the greatest common factor of n and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/6*4428\/(-4059).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 20\/(-7))*(-4 + 7). Sort -3, 0.1, x, 3 in increasing order.\nAnswer: -3, 0.1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 0 - 2 - 6*q. Suppose 0 = 3*l - 3, -j + 3*l = 7*l - 68. What is the remainder when j is divided by x(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnfnfnn. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -236, 44, -3\/140, 2?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 33*b - 109. Determine f(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*v + 12 = 0, -4*p + 3*v = -0*v + 19. Let z(s) be the second derivative of -35*s**3\/3 + s**2\/2 - 2*s. Is z(p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -17. Let p(s) be the first derivative of 71429*s**3\/3 - 3*s**2\/2 - 3. Let l be p(b). What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 15 = 3*k. Let r = -8080 + 8080. Solve r*i + k = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 5. Is a(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73.5 + 75.5. What is the nearest to -2\/5 in -9, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let q(y) be the second derivative of -y**5\/30 + 5*y**2\/2 - 3*y. Let h(d) be the first derivative of q(d). Calculate c(h(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/489 (b) 0.2798 (c) -0.2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 847098 and 3969?\nAnswer: 5929686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10204740 divided by 97188\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -1. Suppose 1149977 + 250023 = -j*f. Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.1. What is the second smallest value in -5, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 1542766*w + 4628280.\nAnswer: 2*(w - 771380)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 - 23568*p**2 - 34715664*p = 0.\nAnswer: -2946, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssiuquiqususfssufui. What is prob of picking 3 u?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -334*a + 347*a - 59*a**3 + 123*a**3 + 5*a**2 - 65*a**3 as o + q*a**2 + j*a + x*a**3 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*s - 45, -4*s - 63 = -7*n + 2*n. Let i be ((-1)\/(-3))\/(32\/s). What is the third biggest value in 2, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 70*d + 6856. What is i(79)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 9576.\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t + 3. Let f be s(-6). Suppose 284 = -4*p + 3*n, -4*p + 1037*n - 316 = 1042*n. Let l = p + f. Solve 0 = 4*z + l + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 3*z + 2. Let j(v) be the second derivative of -v**4\/12 - v**3\/6 + v**2\/2 + v. Let y = -4 - -1. Let b(t) = y*j(t) - i(t). Determine b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tezjezeet. What is prob of sequence tjet?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -83, -122, -187, -290, -443?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 - 20\/3*n + 1\/3*n**2.\nAnswer: (n - 21)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-15 + 33 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let b = -306 - -306. Let j(l) be the third derivative of 1\/12*l**4 + b*l**3 + 0*l + 0 - 6*l**2. Determine j(n(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 3. Which is the closest to 1\/4? (a) 1 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -49, -56, -65, -76, -89?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 816 = o, -2*x = 7*o - 2*o - 4056. Suppose -2*v = l - o + 197, v = -2*l + 311. What are the prime factors of v?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 - -7) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312577 is divided by 37501?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 51 (c) -2 (d) -0.1 (e) -4 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 3903711.\nAnswer: 11\/3903711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-169))\/(2\/13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21715 and 594991.\nAnswer: 2974955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence offj when four letters picked without replacement from {z: 1, j: 3, t: 5, o: 3, f: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 1. Determine o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106 - -124?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14212311 (base 6) to base 2\nAnswer: -1110110001001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p - 8. Let f be 123\/11 - (-4 + 276\/66). Let r(i) = -2*i**2 + 3*i + 15. Let a = -285 - -291. Let z(q) = a*r(q) + f*w(q). Give z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Let j be (b - -2 - -2)*1. Solve j*d**3 - 4*d**2 - 2*d**3 - 4*d**3 = 0 for d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 + 5*c + 3. Let o be 1*(1 + -5)*30\/(-24). Calculate s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411 (base 9) to base 6.\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t + 34. Let c(b) = -5*b - 12. Let i(z) = 17*c(z) + 6*w(z). Let o be -3*(5\/(-3) - -1). Let f(d) = -2*d - 2*d + o*d. What is 3*f(y) - 5*i(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, 14, 2.89, -1\/3 in decreasing order.\nAnswer: 14, 3, 2.89, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/36 - 4\/18 and (5\/(-8))\/(1\/7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 6, a: 3, k: 7}. Give prob of sequence am.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(5\/3))\/s))**(-36) assuming s is positive.\nAnswer: s**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 14363246*n\/9 + 9575500\/3.\nAnswer: -2*(n - 2)*(n + 7181625)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95328 and 4896?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:56 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fij when three letters picked without replacement from ijfji.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -4 + -16 + 1. Let u be ((-180)\/c)\/((-2)\/(-49)). Let o be u\/28*66\/5. Calculate the highest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 17*f**2 - 12*f + 14. Determine n(-18).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 198 + 462 - 660 + 3*l - 3*l**3.\nAnswer: -3*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*j**2 - 3473*j**3 + 3642*j**3 - 199*j**2.\nAnswer: 169*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*s = 0, -124 + 143 = a + 6*s for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(4\/22) + 47872\/4224)\/((-26)\/9).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -0.18, -2\/7, -3 in decreasing order.\nAnswer: 7, 2, -0.18, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -37 in increasing order.\nAnswer: -37, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/75*1194)\/((-2)\/(-45)). Suppose -g + 456 - i = -3*v, 2*v - 2097 = 5*g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 9*r**2 - 11*r + 8. Suppose 29*h - 33*h = 32. Let j(s) = -126*s - 1. What is the remainder when j(-1) is divided by x(h)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -23\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192906.\nAnswer: 2, 3, 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:09 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 13) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13108487 + 3?\nAnswer: -13108484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*a + 21, -108327*i = -108331*i - 2*a + 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 482100993 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 26. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide (-1 + 4)\/((-1)\/(-9) - 117\/1134)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let g be 6\/f + (1 - 2). Put g, -4, -1 in increasing order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (2 - 8) - -2577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -294 in 3, 8, 0.75, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611570 (base 8) to base 15.\nAnswer: 3eae7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57326002 a multiple of 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (-4 - -4))*1. What is the second derivative of q + 22*q**4 - 185*q**2 - 185*q**2 + 370*q**y wrt q?\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 23*g**2 - 21*g + 16. Suppose 3*l - 88 = -5*k, -5*k + 136 = 4*l + 22. Suppose 0 = l*h - 31*h - 110. Let p be q(h). Which is greater: p or -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 143515*g**2 + 0 - 22*g**4 + 2 - 3*g**3 + 143522*g**2 in the form b + r*g**2 + z*g**4 + q*g**3 + p*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.03, -1\/2, -0.08?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + 1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -114, 4, -2688?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/20 and 93\/4220?\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*n + 141 = 0, 4*o - 514 = n + n. Suppose -2*w + w = -o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100000 (base 2) in base 3?\nAnswer: -211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 0. Let u = z - -6.5. Let w = -36\/7 + 101\/21. Which is the closest to w? (a) u (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 10352 in decreasing order.\nAnswer: 10352, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 4*r - 18, 5 = 5*y - 3*r. Let g = 4 - 1. Suppose 3*x - 5*o = 3, -2*x - o + g = -y*o. Solve 5*n + 4 = -x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 2. Let a be t(-8). Let s be 5 + (2\/(-2))\/((-12)\/(-36)). Calculate the greatest common divisor of s and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-160)\/35)\/(84\/(-98)) + -5. Which is the nearest to 1? (a) -380 (b) -5 (c) -2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-11)\/((-44)\/48). Suppose w = 6*y - 15. Calculate the highest common factor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 21*m**2 - m - 16. What is x(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 - 27*n + 5 as o*n + z and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2.41, 10, 0.036, 3\/2, 0.5 in descending order.\nAnswer: 10, 5, 2.41, 3\/2, 0.5, 0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10366812 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 8*p + 6. Let m be c(10). Let l be (2\/(-6))\/(m\/(-43836)). Let w = l + -348. What are the prime factors of w?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/21 + 4*d**2\/7 - 22*d\/21 + 4\/7 = 0. What is d?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 54, 137, 260?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4278125*h**5\/3 + 72765125*h**4 - 275687240*h**3 + 825636220*h**2\/3 - 7002080*h + 45120 = 0 for h.\nAnswer: 12\/925, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l - l)*(4 - 5 + 2)*(400*l - 22*l**4 - 400*l).\nAnswer: 44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1069594995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2 - -10.8. Let d = n + -27. Let h = 1 + -1. Which is the nearest to d? (a) -1 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4317 and 112710?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27843.598 times 0.1\nAnswer: 2784.3598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -568 - 4*j + 8*j + 289 + 281. Let x(z) = 0*z - 1 - 5*z - 2. Calculate 6*i(o) + 4*x(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 216\/6*2\/6. Is b\/42 - 1559\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297796 plus -29711?\nAnswer: -1327507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.728923 from -134.\nAnswer: -135.728923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 357328*d**2 + 93671419*d + 6136601990.\nAnswer: -(d - 357590)*(d + 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106038047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3\/3 - 4*w**2 + 13*w + 5. Let i be t(-9). Suppose i*k - k = 9. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -59. Let g be (-6)\/b - (-348)\/42. What is the greatest common divisor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -24*f**3 - 14*f**2 + 28*f + 80. Let u(g) = -5*g**3 - 3*g**2 + 6*g + 16. Give 6*m(x) - 28*u(x).\nAnswer: -4*x**3 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s**3 - 15*s - 18. Let b(w) = 22*w**3 + w**2 - 30*w - 37. Let a(c) = -3*b(c) + 5*v(c). Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1060)\/(-636))\/(10\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 97 - 79 = z, 0 = -5*z - 10. Suppose -11*r = -7*r. Solve r = -q - b - 0 - 3, 4*b = y*q - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, -36, -1, -4.\nAnswer: -36, -4, -1, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131022, 131043, 131068, 131097, 131130, 131167, 131208?\nAnswer: 131253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 8:25 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j - 50*j**2 - 12*j + 19*j + 21*j wrt j.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/9320 and -31\/28?\nAnswer: 65240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -779 - -779. Factor 0 + p*a - 2\/3*a**2.\nAnswer: -2*a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156 bigger than 5150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011121 + -11?\nAnswer: -2011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 316\/(-240)*4\/(-2) and 79\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/5, 10, 1\/2, -3, 1\/5 in descending order.\nAnswer: 10, 1\/2, 1\/5, -3, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 11:02 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 306 + 833*c**2.\nAnswer: 833*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 + 6*c**4 + c**3 + 4187*c**2 + 2*c + 330144 wrt c?\nAnswer: 20*c**3 + 72*c**2 + 6*c + 8374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n - 7*n - 19*n)*(-4*n + 3*n - n) + (n**2 - 3*n**2 + 4*n**2)*(6*n - 4*n - n) - 2*n**3 + 4*n**3 - 3*n**3.\nAnswer: -n**3 + 56*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225*j**4 + 3 - 23 + 28 + 112 wrt j?\nAnswer: 900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxhxxx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 489 and 338877?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*f**2*y**3 + 89*f**2*y**2 - 5*f*y**3 wrt y?\nAnswer: -66*f**2 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + -169. Is z > 2\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 229984, 1, -4 in increasing order.\nAnswer: -9, -4, 1, 4, 229984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + 13\/(5005\/40). Which is the closest to 4? (a) p (b) 4 (c) -1\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 3*b + 4. Let f be k(5). Let i = 17 + f. What is the remainder when (40\/(-6))\/(-2)*6 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(6\/13)*i*i)))\/(i**4*i*i))\/(i**(2\/7))**(-25) assuming i is positive.\nAnswer: i**(328\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ossoohshsssosssh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13851850.8 rounded to the nearest ten thousand?\nAnswer: 13850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 146 - (142 - (76 - -82))\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -92*v**3 + 2*v**2 - 2. Let w be t(1). What is the common denominator of 15\/20 + (-49)\/6 and (690\/36)\/(-23)*w\/25?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 23. Let q(f) = f**3 - 2*f**2 - 2*f + 4. Let x be q(3). Calculate the highest common factor of x and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51531172.\nAnswer: 2, 7, 11, 167309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 5 = -4*v - 5*p, v + p + 5 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 142201?\nAnswer: 142205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-10) + (-54)\/(-60). Let l be -2 - (-25 + (2 - k)). Suppose 4*b - 42 - l = 0. Calculate the greatest common divisor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 q, and 1 v when four letters picked without replacement from {p: 1, o: 2, q: 2, h: 5, v: 8}?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78 - -14.72. Let t = -0.0356 - -36.9356. Let j = a - t. Round j to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -3\/11, 0, -0.4, 2\/17, -347?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/288*16)\/((-34)\/(-3876))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1620)*3)\/(-6*sqrt(32)\/(-1*sqrt(8))).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*g - 15 + 17 = 0, 5*k = -2*g + 35. Solve -5*q + i + 31 - k = 0, 10 = -q + 5*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/54 and -41\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + 87*l. Let h(f) = 4264*f. What is h(k(y))?\nAnswer: -25584*y**2 + 370968*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07898 + 0.12102. Which is the third biggest value? (a) -4.74 (b) -3 (c) 1\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -3*u. Suppose r = -4*r + 20. Suppose -r*h = -u*h - 53. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1855499.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 56*w - 2. Give j(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/17 and 91\/478.\nAnswer: 8126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 226021 or 226499?\nAnswer: 226499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11375, -45530, -102459, -182162, -284639, -409890?\nAnswer: -557915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 60*v**2 + 1408*v - 1344.\nAnswer: -4*(v - 12)*(v - 1)*(v + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 2*r + 1. Suppose -5*x - 200 = 2*b - 7*b, 5*x - 4*b = -202. Calculate the remainder when o(-2) is divided by x\/(-9) - 3\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102592 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1629 + x**3 - 1625 + 6*x**3)*(-3*x + 4*x + 1 + 0).\nAnswer: 7*x**4 + 7*x**3 + 4*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let t(a) = 5232187*a**2. Give s(t(l)).\nAnswer: 10464374*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 6. Let x be z(5). Sort x, -20, -2 in decreasing order.\nAnswer: -2, x, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*l + 35*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311275.\nAnswer: 5, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/(80\/64)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -4046\/42801 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115387512797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31667040, 31667041, 31667044, 31667049, 31667056?\nAnswer: 31667065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((825020\/(-1245))\/(-284))\/(7*(-2)\/78)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccrnccrncrrnn. What is prob of picking 2 c and 2 n?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 + 23*m - 24. Let k(w) = 5*w**2 + 12*w - 12. Let s(q) = -5*k(q) + 3*u(q). Let l be 4\/(-10) + (-126)\/(-15). Give s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 121 - 5 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2*b)**47\/(b**8\/(b**(-5)*b)) assuming b is positive.\nAnswer: b**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d*q*x*z - 118*d*x + d*z + 6*d + 7*q*x*z + 3*q*x + 52*q*z + 638*q - z with respect to x.\nAnswer: -6*d*q*z - 118*d + 7*q*z + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-7)*(-10)\/45*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5. Suppose j = 3*j. Let w be g(j). Suppose -3*a = -5*v - 10, -w*v - 6 = -2*a + 4. Sort -2, a, -5 in decreasing order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 4, l: 1, e: 1, p: 2}. What is prob of picking 1 z, 1 e, and 1 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 35522690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 - 133. Suppose 3*r - 4*y = 67 - 21, 0 = -2*r - 5*y. Suppose -v + f - 1 = 0, -f + 0*f + r = -c*v. What is the second smallest value in v, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8549.\nAnswer: 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**3 - 2*u**2 - 4*u. Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/184 and 27\/18608.\nAnswer: 427984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 1038, 1543, 2028, 2487, 2914, 3303?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1990560672*z**2 - 1990560687*z**2 + 3981121384*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 1 - -60 - 4. Solve -54*n + 2 = -u*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 2. Let d(u) be the first derivative of u**2\/2 - 2. What is d(l(z))?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4*c - 5. Let i be m(5). Let r = 3 - 1. Suppose -5*g - 4*s + 1 - 2 = 0, -r*g - 5*s - 14 = i. Solve 5*z + 10 = 0, -2*p + z = -g*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -59 (b) 7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -3b?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390702.16 rounded to the nearest 1000?\nAnswer: -1391000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 93 - 219. Suppose -3*n = 3*g + 120, 5*n - 6*n + 4*g = 60. Let r = n - z. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.4 - -14. Let h = 1.3 + m. What is h rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, f: 1, y: 10}. Give prob of picking 1 w and 1 y.\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**3\/6 + 43*y**2\/4 + 21*y + 25. Factor o(w).\nAnswer: (w + 1)*(w + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111110110 + 1010100011000?\nAnswer: -1110011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o + 3*o**3 + 2*o**2 - 4*o**3 - 5*o - 6 + 8*o. Let j(s) = s**3 - s. Let n(k) = 3*j(k) + y(k). Does 27 divide n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2468000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 162848.\nAnswer: 1791328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 17. What is the closest to 0.4 in 4, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*l + 7469 = 0, 2*l + 7493 = i + 6*l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11454559 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159247 and 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 0*y)*(0*y + 2*y - 4*y) + 2*y**2 + 2 - 2 + (3 - 3 - 3)*(-y - 2*y + 5*y)*(5*y + 49 - 49).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and 0.05127.\nAnswer: 0.0143556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) + sqrt(250)) - (-1*sqrt(5) + 4).\nAnswer: -4 + 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27104 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.43 in 3\/5, -2\/19, 0.01, 1086, -5, 0.16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*n - 12*n - 414. Suppose -3*k + 3 = 6. Let v be ((-21)\/24 - k)*-2. What is the third biggest value in n, v, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -536*q**6\/15 - 163*q**2 + 3*q + 7. What is the first derivative of f(l) wrt l?\nAnswer: -4288*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22188 divided by -7396?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(297)*3)\/sqrt(11) + ((-2 + 3*sqrt(3) - sqrt(3)) + -3)**2 + -3.\nAnswer: -2*sqrt(3) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 less than 16006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26736698 by -106.\nAnswer: -252233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357 by -21.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -104.9. Let p = u - 25. Which is the closest to p? (a) 5 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 divided by 292.\nAnswer: -227\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 569.0237 - 569. Round f to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082656363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186 + 184)*(-1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 50 = 4*m, -4*m + 7*m = 3*r - 45 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + (0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 33 = -2*w, -w - 2*n - 15 = -n. Let q be (-25 - (-15235)\/605) + (-872)\/77. Which is bigger: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714106 is divided by 142541?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1511257*k - 2006113 wrt k.\nAnswer: -1511257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-294)\/(-12))\/(-7))\/((-4)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20624598 and 1527748?\nAnswer: 41249196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263246272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -594 + -215867.08.\nAnswer: -216461.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(52)\/(4*sqrt(16)\/sqrt(4)) - (-1 + (2*sqrt(7488))**2)) + -5.\nAnswer: -29954 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = 3*a + 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 29. Let p be 77\/c - ((-2 - -4) + -2). Let k = p + 23\/2. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 5714 + 1443. Suppose -f*u = -416*u - 16255. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 37*r + 35. Let w be q(13). Let d(z) = -17*z**2 - 4. Let u be d(-4). Let x = w - u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 525, -357, -1723, -3567, -5883, -8665, -11907?\n\"Answer: x**3 - 248*x**2 - 145*x + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -380 + 1146. Let r = 1113 - c. Does 86 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30480683.\nAnswer: 193, 157931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -11. Let g = f - -9. Suppose -3*q - 2*x + 14 = -3, -5*q - x + 40 = g. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*(f**2\/f)\/f))**47)**(-10\/9))**(3\/32) assuming f is positive.\nAnswer: f**(-235\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/18)*o*o**11)\/(o\/o**(-4\/9)*((o**2*o*o)\/o)\/o) assuming o is positive.\nAnswer: o**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*12.489146\nAnswer: 24.978292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 673880 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 + 4. Let l be a(-5). Suppose -l*k + 156 = 4*q, -k - q + 39 = q. What is the tens digit of 13\/(k\/90) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t + 23*t = -254*t - 3850 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401 - 943 = -307*c + 14*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 23222?\nAnswer: -23224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1001001111 (base 2) to base 12\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126506 + 126506 + 10*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -f + 733, -3*t = -4*f - t + 2974. List the prime factors of f.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16650844 and 16650844 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -1, 10, -4\/109?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4828163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 4. Let k(z) = -3*z - 7. Let t be k(-3). Suppose -2 = 3*l + t*u, 4*l = -7*u + 5*u - 4. Let c be i(l). Which is smaller: c or 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*n + 4*r + 29, 0 = -n + r + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 - 75*l - 46. Let y be a(-10). What is the fifth biggest value in -8, 3, y, 7, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:58 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 104 = 0. Let s = -36 + w. Let o = -14 - s. Let a(c) = c. Give a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 67 + 59 = 0. Let r be -8*((-5)\/(-20) + (p - -7)). Are -25 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88 in 3, -0.5, -1\/4, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05417? (a) -0.1 (b) -4\/9 (c) 0.14 (d) 0 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1871891, 3743824, 5615757, 7487690, 9359623, 11231556?\n\"Answer: 1871933*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/2, 0.111, -1\/3 in decreasing order.\nAnswer: 1\/2, 2\/5, 0.111, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.001441 centuries?\nAnswer: 0.3001441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14342985379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 75*w + 75. Give g(-6).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 55*x**2 + 243*x - 214. What is w(-50)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, x: 1}. Give prob of sequence xy.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -771, -2512, -5887, -11436?\nAnswer: -19699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 4 = 0. Let u(r) = -r**3 + 8*r**2 + 10*r. Let f be u(9). Solve i + f = -t*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -11. Let r = h - -11. Solve 6 = 5*a - 3*f + r, 8 = -5*a - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 10 = -3*r, -4*c + 8*c = 20. Solve 0 = -r*y - 20, -2*y - 13 = 3*u - y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Suppose -i = -4*d + 3*i + 308, -2*d - k*i + 166 = 0. Suppose 6*p + 0 - 60 = 0. Calculate the greatest common factor of p and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x)*(4 - 4 - 4*x) + x**2 + 0*x**2 - 2*x**2 + 2*x**2 + 2*x**2 - 3*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801444 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -65. Suppose -k*v + 4032 = 7*v. Suppose 7*l - v = 4*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -925180038*d**4 - 932741271 wrt d.\nAnswer: -3700720152*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-14 - -1) + 18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2580*n - 148*n + 314792 = 815*n - 2525*n for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*h + 5*i + 14, 0 = -2*h - 5*i - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 0. Let i = 3 + q. Let c(p) = -p**2 - 3*p + 1. Let f(g) = 1. Let x(b) = i*f(b) + c(b). What is the second derivative of x(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l*(l*l\/l**(-4\/15))\/l)**(-3) assuming l is positive.\nAnswer: l**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c. Let w(q) = 41*q. Give w(p(f)).\nAnswer: 369*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**3. Let o(k) = -20*k**3 + 28*k**3 + 0*k**3 - 16*k**3. Calculate -2*c(q) + 3*o(q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(112) + sqrt(700) + sqrt(700) + -1)**2 + (-5 + sqrt(112) + -2)**2.\nAnswer: -48*sqrt(7) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h**4 - 64*h**3 - 108*h**2 - 32*h + 2. Let d(r) = r**3 + 1. Let y(z) = -2*d(z) + n(z). Factor y(w).\nAnswer: 2*w*(w - 8)*(w + 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -1. Which is the closest to -0.1? (a) k (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3516)\/7325)\/((-2)\/15)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46839928.\nAnswer: 2, 37, 158243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**3 - 2*x**2 - 2*x - 1. Let i be g(-1). Let n = i + -4. Solve -3*h + 1 = 4*k, 3*h + 0 = n*k - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.56 - 0.34. Is -0.3 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.1 + -13. Let p = -120 + 46. Let h = -76.9 - p. Is q less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*h + 140*h - 25 = 0. Suppose -h = -j, m + 21*j = 24*j - 3. Which is the closest to m? (a) 0.2 (b) 0.4 (c) 73 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 73*y + 6. What are the prime factors of z(2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l - 3*l. Suppose 0 = -l*n + 16 + 56. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12867013 is divided by 20327?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 87*q**2 - 18*q + 22. What is the units digit of s(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 8:54 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32201639, -32201642, -32201657, -32201690, -32201747, -32201834?\n\"Answer: -n**3 + 4*n - 32201642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 280\/(-84)*414\/(-15). Solve 14*d + 22 = m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-18) + 24234\/(-54))*1. Let k = -432 - z. Calculate the highest common divisor of 374 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**1*l)\/l)\/(l\/l**(1\/10)*l))**46 assuming l is positive.\nAnswer: l**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37 from 0.162.\nAnswer: 37.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10418 - -7.1\nAnswer: -10410.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-7) + (1 - 1). Let z(i) = -43*i**3 - 2*i**2 - i. What is the units digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8687*l - 4337*l - 4345*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r + 4. Let o = r - -4. Find the third derivative of -2*p**4 - p**o + 0*p**2 - p**2 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0346 < 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -38, -155, -382, -755?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Let w(d) be the first derivative of -15*d**2\/2 - 68. Determine w(h(r)).\nAnswer: -60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19055, -19126, -19183, -19220, -19231, -19210, -19151?\n\"Answer: s**3 + s**2 - 81*s - 18976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/2))**(-3\/11)\/(j**(-9\/7)*j*j**(-2\/15)) assuming j is positive.\nAnswer: j**(1913\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -2566. Let u = c - 244231\/99. Is u greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/6)\/(y\/(((y\/(y*y**7))\/y)\/y))*y**(1\/3)*y*(y*y*y\/y**(1\/7)*y)\/y*y)**(1\/24))**(-41) assuming y is positive.\nAnswer: y**(8569\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -5873.9.\nAnswer: -5877.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/((705\/(-840))\/(-47))).\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 819404624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13393 + 13029.02. Let m = -368 - o. Let x = m - -0.02. What is the closest to 0 in 2\/15, -3, x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*r + 40*r + 23*r to y*r + q and give y.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -215 (base 8) to base 5\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s + 2*s)*(-2*s + 0*s + s) + (-5*s**2 + 2*s - 2*s)*(-3 + 6 - 1) - 3*s**2 + 2 + 0 + 1 to the form d*s**2 + f + k*s and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 31, 132, 273, 454, 675, 936?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 84958 - 85132. Let t(x) = -48*x - 296. Give t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 10*x - 7*x + 11, 13 = 3*x + 2*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*41.127\nAnswer: -8.2254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*y, -29*y + 5*z + 40 = -34*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 113.3301.\nAnswer: -33.99903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/5, -1\/4, 2\/3, -55, 4 in descending order.\nAnswer: 4, 2\/3, -1\/5, -1\/4, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*d + 19. Let i(f) = -f**2 - 3*f. Let v be i(-3). Suppose -2*h - h - 15 = v. Is h <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 9*t**2 + t + 10. Let b be h(3). Solve -5*a - b = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Suppose -2264 = -4*d + 4*v, 0*d - 4*v = 2*d - 1120. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:39 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 644\/(-161) - (-1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7851865 and 1995?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19453077 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 10978.\nAnswer: 17\/5489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*u + 6625, -u = 2*b + 1313 - 3963. Suppose -3*i - 2*n + 504 = 0, -5*i + 4*n = -b + 485. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -1.6. Let x = 0.49 - -0.01. Let t = x - 0.5. What is the second biggest value in g, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 53*l + 143. Determine f(54).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81 + -42?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/13 - 21902*x\/13 + 43796\/13 = 0. Calculate x.\nAnswer: 2, 10949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -210, -477, -850, -1329, -1914?\n\"Answer: -53*o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 4 - (6 + (-12 - 0)). Suppose -s = 3*s - d - 823, -i*s - 5*d + 417 = 0. What are the prime factors of s?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4 + 3 - 1 - 3*a - 10. Calculate g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*-52770.\nAnswer: -163587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 - 40*s + 11*s + 2 - 6*s**3 + 16*s + 9*s + 10*s as f*s**3 + p*s + b + d*s**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 5. Let s be i(-3). Suppose -k = q + q + 9, -s*k - 2 = -4*q. What is the units digit of 11\/(-2)*(k - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 571312 and 22.\nAnswer: 6284432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(378) - sqrt(42)))\/(sqrt(384) + sqrt(384) + (sqrt(384) - (sqrt(384) + sqrt(384)*1)) + sqrt(384) - sqrt(6)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-65)\/10)\/((-1)\/(-2)). Let n = 25 + x. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-52)\/39)\/((-686)\/(-63)))\/(2\/(-35))\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 14*f - 13 + 10 in the form l*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6992\/(-69))\/((-4)\/6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19*u. Let c(h) = 216*h. Calculate x(c(o)).\nAnswer: 4104*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-21))\/8 + (-780)\/(-14). Find the second derivative of 7 - 6 - c*i**2 - 3 - 5*i + 87*i**2 wrt i.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2*s + 2*s**2)*(5 - 3 - 4) + 5*s**2 - s**2 + 5*s**2 + (0 - s + 0)*(-s + 0*s + 0*s) to the form h + d*s + c*s**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -732 - -740. What is the second derivative of s*h**4 - 9*h + 6*h**2 - 16 + 10 - 13 wrt h?\nAnswer: 96*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 245*w - 96. Let h(r) = 306*r - 96. What is -4*h(q) + 5*v(q)?\nAnswer: q - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*(-144)\/(-8). Let d be (-2 + 35\/20)*m. Suppose 2*f + f + 3 = 0, f + 223 = d*n. Calculate the remainder when n is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -1, 1\/3, 111, -7\/3, 3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*q + 186, -17*q + 16*q + 4*h - 48 = 0. Let n(c) = -77*c**3 + 5*c. Let g(m) = 1116*m**3 - 72*m. Give q*n(t) - 5*g(t).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d4 + b8?\nAnswer: 68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*p + 395. Let g(q) = -q**2 - 103*q + 1042. What is the remainder when p is divided by g(-112)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*b**6*s**2 - 2*b**3*s + 35*b**2*s**2 - 2*s**2 + 2 wrt b.\nAnswer: 18840*b**3*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 36 + 126 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/2167 or 2\/11?\nAnswer: -4\/2167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 38. Let n = 56 + -68. Let u be i(n). Let p = 11 - u. Which is greater: p or -2\/185?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 - 6) - 14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyfy when four letters picked without replacement from ffymywffyywywww.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -1, 3, -5, 10.\nAnswer: -5, -1, 3, 10, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23833um in nanometers?\nAnswer: 238.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**3\/6 - 5*b**2\/2 - 25*b\/2 + 2. Factor t(l).\nAnswer: -(l + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61528099?\nAnswer: 19, 163, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*b + 4*b. Let k = b - -1. Put k, -4, 5 in increasing order.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 164\/4)\/(558\/176142)?\nAnswer: 13, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4\/(z*z\/(z*z\/(z**6\/z)))*z*z*z*z*z*z**(-2\/5)*z*z**0*(z**(2\/9)\/(z*(z\/(z**(1\/5)\/z))\/z))**25 assuming z is positive.\nAnswer: z**(-1568\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8333 = -4743*w - 79478 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 8550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341 is divided by 553.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 2\/3, -45, -10 in increasing order.\nAnswer: -150, -45, -10, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 8. Suppose 0 = -3*z + z - 12. Let w be f(z). Suppose -w*g + 867 + 145 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3849, 245, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -21\/5*w**5 + 0*w + 0*w**2 - 7\/3*w**3 + 0*w**4 + 10. What is the third derivative of d(n) wrt n?\nAnswer: -504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let h(r) = -4*r**2 + 3*r + 5. Let k(i) = -31*i**2 + 15*i + 5. Let d(z) = 14*z**2 - 7*z - 3. Let l(o) = -7*d(o) - 3*k(o). What is t*l(v) - 4*h(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wptw when four letters picked without replacement from {t: 2, p: 2, l: 2, w: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -11\/5, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 + w**4 + 0*w**4 + (40*w + 0*w - 10*w)*(16*w - 9*w**3 - 16*w) as m*w + d*w**4 + h*w**3 + k + f*w**2 and give d.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2592*q - 10*q**2 + 5 - 2 + 3969*q - 1470*q.\nAnswer: -10*q**2 + 5091*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 15159*j - 273834 = 0.\nAnswer: -5071, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*c**3*m**3 - 2*c**3 - 36*c**2*m**2 + 3*m**4 wrt m?\nAnswer: -186*c**3 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2075 - 1961 = -38*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = 2. Let x = m + 1. Suppose 18*a + 3*d + 6 = 23*a, a = -4*d - 8. Solve a = -2*v - x*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -47 + 8 - (-34 - -3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7392 is divided by 489?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000222 (base 3) in base 4?\nAnswer: -202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**9\/1512 + s**8\/420 + s**7\/420 - s**3\/2 - s**2. Let f(u) be the first derivative of y(u). Factor f(w).\nAnswer: 2*w**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5007*m - 16771*m + 4646*m - 15697*m to o*m + r and give o.\nAnswer: -22815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 + 9*x + 8. Let u be v(-9). Let 16*p**2 + u*p - 4*p**4 - 6*p**2 - 10*p**2 + 4 - 8*p**3 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-6 - 24))\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/5435 - -10802\/92395. Let k be (1 + 18\/(-16))*1. Put 1, n, k in descending order.\nAnswer: 1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10\/t)**(-37)\/(t**(-10)*t)**(-12) assuming t is positive.\nAnswer: t**(-441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2461 - 2461.04788. Let y = k + 0.048. Round y to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39315\/4 - -9829. What is the nearest to f in -4, 0.4, -28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + 1 + 4*sqrt(720)*-1))**2.\nAnswer: 4608*sqrt(5) + 184464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/15 bigger than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3937 and 889.\nAnswer: 27559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let q(i) = 4*i. Suppose -14 = -c - 3*x, -3*c = c + x - 1. Let u(d) = d. Let g(t) = c*q(t) + 5*u(t). What is g(b(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21239 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195511810 to the nearest integer?\nAnswer: 13983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10769\/4 - 2692. Do -5015 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y - 3*k - 246 = 0, -2*y + 86 = 5*k. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:17 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5788 + -0.0908\nAnswer: -5788.0908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - 13*i + 28. Let g be t(-7). What is the lowest common multiple of 18 and 6\/g + (-83)\/(-6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.044, -3, -1\/4, 3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2168 - 1692. What is the greatest common factor of 70 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 10 + (-4 - -8 - 7) + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:50 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -528*m - 2*m**2 - 2*m**5 - 525*m + 1074*m wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -10514203222?\nAnswer: 10514203215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 857784 divided by 107223\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 27*c**2 - 55*c - 155. Give i(29).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96518 - 275?\nAnswer: -275.96518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 5*a - 5. Give l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*q - 3908 + 5036 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 770734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/q**(2\/17))\/(q**(-2\/5)*q**1\/q)*(q*q**(-1\/7)\/q*q*(q*q\/(q*q**(-1\/2))*q)\/q)**28 assuming q is positive.\nAnswer: q**(6059\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and -0.9?\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.882 and 12533.\nAnswer: -123851.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (37 + (-2 - 8) - 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 l when three letters picked without replacement from {o: 3, j: 1, f: 2, e: 1, l: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 0, 192, 1828?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 + (-102)\/(-30). Suppose 2*z - 3 = c*z. Does 2 divide z\/(-3) + 2 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93\/4 + 845\/36. Suppose 3*o - 12 = -3. Let b be (-1 - 6\/(-4)) + 0. What is the closest to b in i, o, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11194.48 to the nearest one hundred.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1 + -4 - (-2 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80007, -80026, -80071, -80154, -80287, -80482?\n\"Answer: -2*p**3 - p**2 - 2*p - 80002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -10*p + 6*p + 952, 2*q + 458 = 2*p. What is the greatest common divisor of p and 3901?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**2 - 10*g + 179.\nAnswer: 10*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 582\/(-21) + 4\/(-14). Let g = k - -66. What is the highest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z - 5. Suppose 4*q = -4*w + 48, 3*q - 200 + 182 = 0. Let r = w - z. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59508 and 83201.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1\/614 (b) -5\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 449 = -k, -3*k + 5*a - a + 1347 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let v(m) = -m - 47. Let z(k) = 2*k + 70. Let p(n) = -8*v(n) - 5*z(n). Give p(l(j)).\nAnswer: -2*j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, q: 2}. Give prob of picking 1 q and 2 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/4, 3, 66\/5, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5 - 3*o**2 + 2 + 2*o**2 + 2 + o. Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -9 + 14 - 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**2 - 11*q + 8975. Let a(p) = 11*p**2 - 8*p + 6730. Give -11*a(o) + 8*c(o).\nAnswer: -o**2 - 2230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-200))\/((-14)\/(-35)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/19671 and -48\/1501?\nAnswer: 373749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-34)\/k)\/(k*k*k*k**(-13)))**19 assuming k is positive.\nAnswer: k**(-475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-21))\/4 + (-1)\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*w + 425 + 2023 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10) - 1\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.72514 + -61.58634. Let a = o - 1.2088. Let z = -61 - a. Are z and -0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o - 4. Let d(f) = f - 2. Let a be d(4). What is the second derivative of -4*b + a*b + 0*b - 2*b**o wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10050 + -10049.98. Let v = -0.04 - -0.44. Let b = v - 0.3. Sort 0, -2\/7, w, b in decreasing order.\nAnswer: b, w, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9611\/19, 2, 3\/8, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33955 - -81855. Round i to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 19*p**2 - 3*p - 4. Let w be k(-1). Solve w*t + 12 = 21*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176725640*c**2*u**2 - 2*c*u**2 + 6*c*u - 5*c - 8*u**2 + 661 wrt c?\nAnswer: 353451280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275686092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 11:10 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -2*u + 1402. Suppose 217*y - 140*y - 11200 = -243*y. Calculate the remainder when u is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s + 89. Determine y(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140754 (base 9) to base 4.\nAnswer: 110332111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10100\/9 + -1126. Find the common denominator of o and 43\/17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k - 10. Let x be m(-4). Let z(g) = 5*g + 10 + g**x - 2 - 2. List the prime factors of z(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:16 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(63\/28*(-24)\/(-108)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*k = -2 + 34, -4*q + 4*k = 0. Let p(t) = -2*t**3 - 6*t**2 + 11*t + 42. Let m be p(-7). Suppose 0 = q*w - m + 85. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*c + 6, -y - c = -2*y + 3. Solve -3 = 3*b + y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47381 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1134 and 399390138?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-2)\/(-20)). Let v be 2 + (-5)\/(p\/(-6)). Suppose -3*j + 7*j - 16 = v. Solve 0 = -3*h - 5*i + 1, 3*h - 1 = j*i - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-5)\/(-195)). Suppose -4*n + 6*n = 78. Calculate the greatest common factor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65368.\nAnswer: 2, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 2*d**5 - 2*d**3 + 4*d**3 + (2*d + 0 + 0)*(d**4 + d**4 - d**4).\nAnswer: d**5 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 - 7*h + 83. Let x be v(-11). Suppose -4*u + 9*q + x = 5*q, u - 5*q - 270 = 0. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4 + 845785*a**3 + 139572675*a**2 + 7676829875*a + 140744931250 = 0.\nAnswer: -55, 845950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 2*z + 1. Let u be j(-3). Let o(s) = -2*s + 9552 - 9552. Calculate o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 1. Let w be k(-4). Let v = -17 - -10. Let o = v + w. Calculate the least common multiple of 16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164405*x + 3 + 19634*x - 3.\nAnswer: -144771*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 6\/11 (c) 0.112506 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*l**4 - 144386*l**3 - 146409*l**2 + 186*l wrt l?\nAnswer: 2760*l - 866316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 u when four letters picked without replacement from {u: 4, o: 2, m: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*t**3*w**2 + t**3 - 24422*t**2 - 622*t*w**2 - 2*t wrt w?\nAnswer: -24*t**3*w - 1244*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12874 + -12894. Let o(u) = -u + 1. Let i be o(0). Which is the closest to n? (a) 0.4 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + 2*u - 5. Let g be q(-4). Let z(y) = 13*y - 34. Let p be z(3). Suppose g*d = -6, -d + 145 + 418 = p*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2336 = -2348. Let l be (18\/10)\/(5*(-12)\/(-75)). Factor 1\/4*w**c + 3\/2*w + l.\nAnswer: (w + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 9*m**2 + 11*m + 32. Let x be p(-8). Suppose 7*w + x = 8. Suppose 2*a - 10143 + 2257 = w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12055?\nAnswer: 5, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-8)*(-30)\/(-25) - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 8.37651.\nAnswer: -3.350604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2 + 3 + 15 - 3*u - 10. Let g(z) = -z. Calculate q(g(f)).\nAnswer: 3*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2424 and 6060.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7500201.01 rounded to the nearest one hundred thousand?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/4*1*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let y(t) = 1491*t. Determine y(p(x)).\nAnswer: -2982*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 2*k + 4. Let l be j(3). Let i(z) be the third derivative of -z**4\/6 - z**3\/6 - 6*z**2. Determine i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1196 - 1360. Put 5, 1, s in descending order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkobkkbkbvkkzkvk. Give prob of sequence vz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/179 + 189\/895. Which is the closest to 2\/7? (a) -1 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 16 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 + 4*w**3 + 2*w**2 - 4*w = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.4 and -2013?\nAnswer: 2016.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185373 divided by 2660?\nAnswer: 185373\/2660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 634153970 to the nearest 100000.\nAnswer: 634200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767565 (base 8) in base 13?\nAnswer: 36988b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 1 (b) 0.13 (c) 7\/4 (d) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.4 and -0.269735.\nAnswer: 13.324909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-3 - -7) - 4 - 2) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 - 115. Let p = k + -56. Suppose 5*x + p - 42 = 0. Which is the smallest value? (a) 5 (b) x (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 546245 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5634294059067 - -0.2?\nAnswer: -5634294059066.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 divided by 857?\nAnswer: -311\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -863*x - 491593. Give z(-570).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-3) + 12 + -15. Let n(g) be the first derivative of q*g + 2\/3*g**2 - 4 + 2\/9*g**3. Solve n(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1220)\/183)\/(5*10\/25)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.8, 331, -3, 5, 0.1, -5?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 44. Let p be 6\/(-9) - n\/6. Let z = p - -13. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -22.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2915 - -2943. Put -1\/6, n, 6, -2 in decreasing order.\nAnswer: n, 6, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 30. Let i be n(-5). Let a be (6\/15)\/((-13)\/i)*-3. Let q = 0.9 + -0.7. Put q, a, 1, 0.1 in decreasing order.\nAnswer: 1, a, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2 - 12*p + 4. Is 14 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i + 3*i = 0. Solve i*k = -b - 5*k - 7, -8 = 4*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -56. Let h = 17.13 - -1.37. Let k = s - h. Which is the second biggest value? (a) 0.4 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 3*m**3 + 316*m + 2*m**3 - 24*m**2 + 112*m**2 - 400 - 4*m**3.\nAnswer: -4*(m - 25)*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/81 + 50\/(-225).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/3 - 4*z**2\/3 - 71*z\/3 - 22 = 0.\nAnswer: -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784 + 0.037?\nAnswer: 1784.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 0.06, -47.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 + -3212?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60177 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c + 2360 = 0. Let q = c + -8293\/7. What is the common denominator of -3\/7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**9\/3780 + z**6\/180 - z**4\/12 + z. Let d(j) be the third derivative of o(j). Find the second derivative of d(c) wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5 + 131664*f**4 + 1084121140*f**3 + 10830154344*f**2 + 17324877376*f = 0?\nAnswer: -16453, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28158 by -3.\nAnswer: 9386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86465556 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m - 140*m = 72*m - 1200 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*t - 5, -316*t + 2 = 4*a - 318*t. Solve 169*i - 170*i + 4*k = 10, 2*i - 4*k + 12 = a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*17261846\nAnswer: 3452369.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -9. Let i = 17.69 - g. Round i to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190400 and 6800.\nAnswer: 190400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Suppose -5*v - 15 = -2*k + 7*k, 5*v = -k - 7. Let d be ((-2)\/(-39))\/(k + 5\/3). Put d, -0.08, b in decreasing order.\nAnswer: -0.08, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -908.0001134 - -908. What is w rounded to six dps?\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1. Let z(v) = -3 + v**2 - 3*v + 3*v. Let f be z(-3). Let q be s(f). Which is the third smallest value? (a) -7 (b) q (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -557 - 3?\nAnswer: -55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 324569, 324567, 324565, 324563, 324561, 324559?\n\"Answer: -2*t + 324571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 325032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19020 - 19017. Let p(i) = -i**3 - 6*i**2 + 2*i + 13. Give p(g).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/4 (c) -221 (d) 2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000942581224 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 5\/356 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 8*a - 5. Let y be k(7). Suppose 0 = -2*m - 0 + y, -2*m = -4*q + 44399998. Round q to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 21*v - 12. Let u be p(1). Let z(y) = -3*y + 8. Determine z(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {p: 3, t: 3, c: 4, e: 2, g: 4, j: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*r - 20948, 5*o - 9 = -19. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2150792 to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.36 - -172.66. Let q = j - 139. Which is the nearest to q? (a) -0.1 (b) -6 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 53*c + 285. Is 4 a factor of j(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (93\/6 + -5)\/((-2)\/12). Let l = 60 + k. Let t(v) = -3*v + 1. Give t(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 3*d + 16. Let c be (42\/9)\/((-10)\/(-15)). Let f be m(c). Let s be (-1)\/(-6) + 2\/f. Solve s = 3*h + 2*g + 7, -5*h + 5*g = 4*g + 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4368 divided by 4\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + z - 7. Let y(k) = -k**2 - 4. Let v(h) = 4*p(h) - 9*y(h). Is v(-8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6291 = m - 10*m. Is m smaller than 699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 77. Let b(x) = -4*x - d*x + 3 - 3*x. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466940 and 79180.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -25*l - 96 + 1 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2619 and 14931.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -1928, -4327, -7664, -11927, -17104, -23183?\nAnswer: -30152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5259, 18, -15, -2 in descending order.\nAnswer: 18, -2, -15, -5259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**3 - n**2 + 4*n - 3. Let i be w(1). Let g be (622 + -2)\/((-8)\/i). What is g rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029*p - 1024*p = 35. Let v(g) = -g + 35. Let k be v(0). What is the greatest common divisor of p and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*o*x + 10943*o - 572*x with respect to x.\nAnswer: -22*o - 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -11, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530140.7l to millilitres.\nAnswer: 530140700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13066 + 23?\nAnswer: -13043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v = 54*v. Solve -4*b + 12 = -66*h + 71*h, -4*b - h - 4 = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01487 - 0.01487. Which is the second smallest value? (a) 37 (b) 4 (c) 5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/10)*n)\/(n**(1\/4)*n))\/(n\/n**(2\/3))**(-15) assuming n is positive.\nAnswer: n**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -27658 and -55315\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:33 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392.04429 - 392. What is w rounded to three decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/86 and -41\/1075.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7058 + -4164. List the prime factors of p.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150691 and 4.\nAnswer: 602764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504732?\nAnswer: 2, 3, 42061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 10*h + 260 = 0. Solve -h*y + 10*y + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 8}. What is prob of sequence sjjs?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/9 + 4*p**4\/9 + 2*p**3\/9 - 4*p**2\/9 = 0. Calculate p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/195 + (-87096)\/3441438.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 45 + 59 = 3*p, w - 5*p = -8. Let j = 0.2 + 0.3. What is the third smallest value in 3, j, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1882 + -0.2882. Which is the nearest to 1? (a) -5 (b) -11 (c) l (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) -3\/7 (b) 4\/7 (c) 4079.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 18*o - 72. Let p(w) be the third derivative of 0*w**4 + 0*w + 0*w**3 + 1\/90*w**5 - o*w**2 + 0. Let p(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 754, 658, 562, 466?\n\"Answer: -96*m + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = -15*l + 1. What is the remainder when l is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4577, 4559, 4543, 4529, 4517, 4507?\nAnswer: 4499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:25 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 424513*r + 424513*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 2, g: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11815\/9 + 1307. What is the common denominator of -49\/4 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:13 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630565.\nAnswer: 5, 13, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 4, 1 in ascending order.\nAnswer: 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*c - 2*o, -4*o = -3 + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxh when three letters picked without replacement from {x: 2, c: 4, y: 6, m: 3, h: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 + n**4\/4 - n**3\/2 + 2*n**2. Let p be b(2). Let y be 2\/p - 9\/(-15). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20116261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60495)\/8625)\/(-1) + -7. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 439 + -442. Let t = 1.3 - 1. Which is the nearest to 1? (a) t (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3 + 3)*(343 + 333 - 78)*(2*r - 6*r + 0*r)*(2*r - 5*r + 4*r).\nAnswer: 4784*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40527 > 40526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20262986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 a, and 1 b when four letters picked without replacement from jjajvviqjjjvvib.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, -3, -4.\nAnswer: -4, -3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (2 + sqrt(176) + 3)) + sqrt(176))*1.\nAnswer: -5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 6*k - 5. Let c be t(4). Suppose 0 = 2*q + 5*n - 42, 0 = -c*q - n + 37. Suppose -2*z + q = 3*o, -z - o + 21 = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 a when four letters picked without replacement from {a: 5, b: 4, c: 8, m: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 8*l**2 - 9*l - 3. Is n(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 2*v - 2. Let t(n) = -n**3 - 1. Let y(s) = -s - 14. Let m be y(-10). What is m*t(u) + h(u)?\nAnswer: u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1374*b**2 + 32979*b - 127. Give q(24).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 23388274.\nAnswer: 23388274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/10*(-15)\/(-18)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.46 and -857.\nAnswer: -856.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00686165 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 92*h + 908 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 3 - (-2 - 2). Suppose c*o + 53 = 4*t, -3*t = -o + 5*o - 1. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 7793488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/((sqrt(64)*1)\/sqrt(8)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Sort 0, q, 0.2 in increasing order.\nAnswer: 0, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115960169*n**2 - 150765*n + 118?\nAnswer: -231920338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13490.8 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 - 3*q**3 + 2*q + 104 + 4*q**3 - 2*q**2 in the form a*q**2 + r*q + i*q**3 + p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995859138226 + -6.3?\nAnswer: 1995859138219.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + 0 + -1 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/12 - 6*c - 22. Let f(q) be the first derivative of r(q). Let l(u) = 2*u - u + u - 9*u. Determine l(f(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 9 + (-2 - 0) - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -21.2344 (b) 0.4 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -20.26\nAnswer: -1.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 9*v - 19. Calculate a(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 8197*k\/3 + 283220.\nAnswer: (k - 8092)*(k - 105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1, -6, 77 in decreasing order.\nAnswer: 77, 4, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -303814 + -122\nAnswer: -303936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 9 + 11 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*l = -3*l - 5, 3*l - 5 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:47 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b + 193 - 601. What is the remainder when 21793 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*b*g*y + b*h*y + 3*g*h + y + 47 wrt b.\nAnswer: 133*g*y + h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140926*t**3 + 509208*t wrt t.\nAnswer: -845556*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 0.15 (c) -24\/19 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1594 divided by -141\nAnswer: 1594\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-9)\/3)\/(-3). Let l(q) = 5*q - 3*q + k - 1. Let u(j) = -j**2. Calculate l(u(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 27*r**2 + 48*r - 42. Calculate h(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/7 + 30*k**3 + 3408*k**2\/7 + 1440*k = 0. What is k?\nAnswer: -10, -4, 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-24)*t*t)**20\/(t**31*t)**(-29) assuming t is positive.\nAnswer: t**548","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, 0.4, 0.08, 3251?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 + 571 = 9*s. Let v(o) = 125*o**3 - 2*o**2 + o. Let h be v(1). Suppose 0 = -s*j + 96*j - h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11d (base 16) to base 6.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80872579 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -16*m + 4. Solve -3*a = -m - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15431 + 203525?\nAnswer: 223400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-2)\/(-4) - 753\/(-2). What is the highest common factor of 47 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*n + 16, -n - 4*n = 3*s - 22. Let x = n - -1. Which is the biggest value? (a) 4 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*g**3 + 73 + 207*g**3 + 250*g**3 - 74 + 2*g to the form j*g**2 + u + h*g + f*g**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24421332 is divided by 4070222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 323.53\nAnswer: -485.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 4*j + 5. Let a be r(6). Suppose 0*q = q - a. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1497 - -4448. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -1\/18*f**6 + 124 - 8\/15*f**5 - 8\/3*f**3 - 11\/6*f**4 + 0*f - 3\/2*f**2. Factor x(m).\nAnswer: -m*(m + 1)**2*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*b*m*q + 2*b*m + 25*b*q + 53*b + 8*m*q + m wrt m.\nAnswer: -41*b*q + 2*b + 8*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 - -3*28\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/119 - -107\/714. Which is the fourth biggest value? (a) -0.2 (b) s (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 393\/4 - (-1)\/(-4). Calculate the remainder when 4*33*3\/36 is divided by k\/(-21)*(-3)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**3*z**3 + 445165*j**3*z**2 + 3*j**2*z**2 - 2*j*z**2 - 7*j + 3640*z**3 wrt j?\nAnswer: -60*z**3 + 2670990*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 + 2*t + 5. Let y be h(-2). Solve -11 + y = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*k + 5*k. Let g = k - 85\/2. What is the biggest value in 1\/2, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -24) + (4 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 29 = -m + v, -v - 40 = -4*m. Suppose 7*p + 2*p = -m. What is the remainder when -4 + (p - -73) + 0 + -1 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let l(d) = 4*d + 5. Let r(z) = z - 4 + 0 - 4*z. Suppose -5*f = -5*y - 5, -y + 5 = -3*f - 0. Let u(m) = y*l(m) - 5*r(m). Give u(h(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14004.5, 1\/2, 5, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -46931.381342409.\nAnswer: -46928.381342409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + 110?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/29)\/f**(-2\/5))**(13\/4) assuming f is positive.\nAnswer: f**(156\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15482, -15474, -15490, -15542, -15642, -15802?\n\"Answer: -2*f**3 + 22*f - 15502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = 9*d - 507. Suppose -3*v = -d*t - 17, -v - 5*t = -2*t - 1. Solve v*z - 6*z - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7915882 and -57\/4.\nAnswer: 15831764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-5\/3)\/n)*n**8\/n*(n\/(n\/(n**0\/n)*n))**(-2\/25))**(7\/5) assuming n is positive.\nAnswer: n**(5684\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {e: 1, x: 5, y: 5, s: 2, k: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -1\/84*q**4 + 1\/14*q**3 - 1\/7*q**2 + 0 + 10*q. Factor m(u).\nAnswer: -(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/((-63)\/252)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*y + 2, 0*c + 2*y + 7 = -c. Let l(d) = -d. Let r be l(-4). Suppose 8 = -2*f + r*q - 2*q, -5*f - 20 = q. Sort f, c, 2.\nAnswer: c, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1859 - 1869 = 2*i + 6*a, i - 5*a = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517.788ug in kilograms?\nAnswer: 0.000006517788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/13320 and 68\/2331.\nAnswer: 93240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 962, 1138, 1420, 1808?\n\"Answer: 53*b**2 + 17*b + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7676813863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 0 + -3)*-2. Let t = 267 - 266. Let m be t\/5*-1 + 2366\/130. Solve 0 = -5*v - 2*w + 2 + m, 0 = 4*v + d*w - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6068*b + 51544*b + 24958*b.\nAnswer: 70434*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1207 + -378. What is the tens digit of 6 + q + 6\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 - 15*v - 7. Let k be i(9). Solve 2*c - 6*c = -k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1001 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715514799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m**2 - 11*m + 16 - m + m**3 - 3*m. Calculate the remainder when g(-13) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/(-2) - (2 + (-22)\/(-24)) and (74\/(-16))\/(8 + 45\/(-10)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82143 is divided by 472.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48*-0.359\nAnswer: -17.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*x + 605 + 352*x - 113*x - 124*x.\nAnswer: 2*x + 605","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 31*x**5\/20 - 55*x**3\/2 + x**2 - 25*x. Find the first derivative of v(t) wrt t.\nAnswer: 186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 758954597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000223 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.036 - -2.036. Put m, 0.2, 207 in descending order.\nAnswer: 207, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = 2*j, j = -0*d - d - 7. Let b be (8\/22)\/(j + 6). Are b and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 97, 143, 185?\n\"Answer: -2*x**2 + 56*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-1)\/3)*625\/(-250). Which is the smallest value? (a) 5 (b) l (c) 24 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 16*v + 1. What is u(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/2 - 109*p**4 + 6629*p**3\/2 - 35030*p**2 + 132258*p - 162288 = 0. What is p?\nAnswer: 3, 14, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 12. Suppose 3*n - 2*m = 12, 2*n - m - j = -1. Suppose -2*f + 9 + 7 = 2*d, d - 1 = 0. Solve n = 3*i - f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*w**2 - 5*w**3 + 0*w + 1039*w**2 + 0*w.\nAnswer: -5*w**3 + 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.07 (b) 727 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 16*j**2 + 4. Let o be t(-8). Suppose 7*k = o*k - 9. Which is the smallest value? (a) -0.4 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10370, 10220, 10058, 9878, 9674, 9440, 9170?\nAnswer: 8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*2)\/(sqrt(8)\/sqrt(2)*6 + sqrt(4)) + -2.\nAnswer: -2 + 24*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40995 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2500 and 24800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u - 27*u**2 + 29*u**2 - 6 - 8*u. What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 35 = 2*k, 4*z - 3696*k = -3698*k - 26 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 520658 + -3170797\/6. Let g = q - -7830. Find the common denominator of g and 46\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 2.51.\nAnswer: 5.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**6\/10 + 27*y**4\/4 + 27*y**3 - 12*y - 30. Factor w(d).\nAnswer: -3*d*(d - 6)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1. Let p(w) = w**3 - 12*w**2 - 15*w + 25. Let i be p(13). Let v(f) = 3*f - 6. Give i*v(n) - 6*l(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 2, q: 3, s: 2, b: 1, t: 1, z: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3 + 3)*(119 + 66 - 5) - j + 4 - 4.\nAnswer: -181*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -3, 84, 18.4, 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 1\/291 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/44559 and -121\/108?\nAnswer: 534708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 9*v**2 + 20*v - 7. Let b be o(6). Suppose 7*g = b*g + 5866. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-21*52\/(-91) - (-1365)\/(-90))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -3*n**7\/70 + n**5\/15 + 5*n**2. Find the third derivative of f(g) wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 2, b: 1, a: 3, i: 2, o: 4}. Give prob of picking 1 u and 3 a.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8777524 is divided by 131.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 36 - (-1 + 7 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25173906 divided by -51.\nAnswer: -493606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4355, -34899, -117809, -279269, -545463?\n\"Answer: -4364*p**3 + p**2 + p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 + -0.444095604.\nAnswer: -0.714095604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18577.1337 + 1.68?\nAnswer: -18575.4537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 4, i: 4}. What is prob of sequence gy?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 + 1.78. Let w = x - -4.73. Let i = w + -5.400031. Round i to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0*m + m - 3*m)*(7*m - 3 + 3).\nAnswer: -14*m**2 - 63*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from {f: 2, h: 1, r: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1465317 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, j: 1, v: 4, u: 6, p: 1}. What is prob of picking 1 u and 2 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 48, 3\/2, 282, 1\/96?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, 16, -384 in ascending order.\nAnswer: -384, -4, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let o(a) = 4 - 28*a - 21*a - 2. Determine r(o(p)).\nAnswer: -49*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -589, -597, -617, -655, -717, -809?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 3*w**3 + (4*w - 4*w**2 - 4*w)*(2*w + w - 4*w) + 3 + 2*w**3 - 3 in the form b*w**2 + l + q*w**3 + h*w and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2189, -4250, -6187, -8006, -9713, -11314?\n\"Answer: -i**3 + 68*i**2 - 2258*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddydddyydddyydydyd. What is prob of picking 1 d and 2 y?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14446504 (base 7) in base 10?\nAnswer: -1373278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (1 - 4 - -14). List the prime factors of 4\/d - 524\/(-28).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 2*b**2 + 2\/3*b**3 + 0*b + 0 - 1\/24*b**4. What is l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 777*d - 23120. Determine s(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 0.1, -0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5528 - 5530. Is -70\/67 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1588 divided by 96\nAnswer: 397\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 + u - 12. Is n(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v**2 - 10\/3 - 4*v.\nAnswer: -2*(v + 1)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3206 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.3. Let o = d + 0.4. Let u be 15\/(-60) - 6\/40. Sort u, o, 5 in decreasing order.\nAnswer: 5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -175 + 18?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4879 + 4898. Let h(u) be the second derivative of -13\/2*u**2 + b*u - 19\/6*u**3 + 0. What is the first derivative of h(l) wrt l?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3112\/52 - ((-6)\/13)\/3. Calculate the greatest common factor of 1280 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3217 - 1071 = 37*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*a**5 + 6*a**4*r**2 + a**4 + 269*a**2*r**2 - a**2*r - 4*a wrt a.\nAnswer: 780*a**2 + 144*a*r**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose 3*h - 48 = -h + 4*z, -q*h - 5*z = -10. Let f(l) = 3*l - 4. What is the units digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f - f**2 + 2*f**4 + 13*f - 4*f**3 - 14*f**3 + 6*f**2 - 1 wrt f?\nAnswer: 48*f - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5672724 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*a = 8861465, 3*d = -3*a - 0*a + 5316867. Let b be 4\/4 + -4 - d. Let n = b - -3362294. Round n to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 and ((-3)\/72)\/(((-3)\/(-318))\/(-1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 + 99690*c**3 + 828274359*c**2 + 1656249660*c + 828074988 = 0.\nAnswer: -16614, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -290065442.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 = 3*v, 5*d = 2*v + 3*v - 35. Suppose 6*r - v*r = -42. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/24 - o**3 - 22*o**2. Let y(b) = b - 16. Let k be y(8). Let z be d(k). Solve -z*g = g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15768, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*d**4 - 4*d**3 + 48\/7*d + 0 - 16\/7*d**2 = 0. Calculate d.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {x: 5, m: 1, n: 3, g: 7, f: 3}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from {r: 6, a: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r - 333. Calculate u(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -251\/6. Suppose -v = -5*v + 4*j + 28, 0 = -3*j - 12. What is the third smallest value in -2, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 81981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 rounded to one dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y. Suppose -16 = -z - 3*a, 5*a + 16 = 5*z + 4*a. Let c(b) = 2*b**2. Let w(v) = 4*v**2. Let i(l) = z*c(l) - 3*w(l). Give i(j(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p - 6. Suppose 0 = -3*w - c - 55, -5*w - 77 = -3*c + c. Let i(g) = -86*g + 72*g + 17 + 2*g**2 - 5*g**2 + 6*g**2. Calculate w*s(y) - 6*i(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {p: 2, y: 1, s: 2, j: 2, i: 1, l: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 3*d - 8*d + 11*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4246180 is divided by 468?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 times -807?\nAnswer: 632688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1219, 1223, 1227, 1231, 1235, 1239?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*a + 2*z, -15 = 3*a + 2*z - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 4*o + 3. Let q be 153\/(-36) - (-20)\/16. Let p be q\/(-12)*22*(-24)\/(-66). What is h(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 5*r**4\/8 - r**2. Let h(y) = 2*y. What is h(g(w))?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3732268578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**4 - 3*p**2*s - 40*p + 2*s - 241 wrt p?\nAnswer: -4*p**3 - 6*p*s - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -144 - 90 + 252 - 35*x**2 in the form l*x**2 + d + a*x and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5771711\/56145 + 1\/11229. Let n = -498\/5 - t. Factor -9\/5 + 3*p - n*p**3 + 8\/5*p**2.\nAnswer: -(p + 1)*(4*p - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -18, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 - 5*t**2 - 2*t. Let w(h) = 8*h**3 + 4*h**2 + 3*h. Let c(s) = -3*v(s) - 2*w(s). Find the third derivative of c(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -12*t**3 - 2*t**2 - 3*t + 2. Suppose 57*a - 67*a + 50 = 0. Let i(v) = 25*v**3 + 4*v**2 + 7*v - 5. Determine a*r(x) + 2*i(x).\nAnswer: -10*x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 + 160*u**2 + 3*u**3 - 5*u + 11*u - 158*u**2 in the form j*u**3 + w*u + v + c*u**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-7)*n)\/(n\/(n\/n**(-3\/5))))\/(n**(-2)*n*n**11\/n) assuming n is positive.\nAnswer: n**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4 - -5) + -1) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1) + -3)*-2. Let z = 2385 + -2390. Let n(d) = -3*d**2 + d - 1. Let y(f) = -2*f - 2*f**2 - 2 + 1 + 3*f. Give r*n(u) + z*y(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 + 4411068729 - 4411068729.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51234, 102474, 153712, 204948, 256182?\nAnswer: 307414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 18 - 1 - 3 - 1. What is the tens digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d - 146 = 52. Let p(t) = -4*t - 3. Let y be p(-2). Which is the nearest to -2? (a) 0.5 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1390 and 830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) -64080\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*155\/186.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1 - 7*k + 3*k + 0. Let o(b) = 9*b + 3. Let p(q) = -2*o(q) - 5*z(q). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t**(1\/6)*t*t)\/t**(-3) assuming t is positive.\nAnswer: t**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -4.8. Let x = -29385 + 470165\/16. Which is the second smallest value? (a) -5 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 41211*p**3 + 123651*p**2 + 123657*p + 41220.\nAnswer: -3*(p - 13740)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -8 - 11) + 12 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 (base 7) in base 3?\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r - 15. Let c be p(7). Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 27. Let d be (-461)\/s + 2\/(-3). Let g = 21 - d. Which is bigger: g or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atat when four letters picked without replacement from taatt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 695*n**3*r**3 + 8866*n**3 + 2*r wrt r.\nAnswer: 2085*n**3*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 15*r - 62. What is m(-26)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -7*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13242*f**3 - 13233*f**3 + 26474*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let p = 42 - g. Let a(h) = -19*h - 13. Let q be a(-4). Calculate the highest common factor of q and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 84*a**2 + 515*a + 2078. What is k(77)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/98 and -57\/44.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2 - 27) + -158 + 148?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552611630 to the power of 1\/2, to the nearest integer?\nAnswer: 23508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 6*k - 2. Suppose -4*b - 13 = 3*h, b + 5*h - h = 0. Let y be v(b). Let c be (50\/(-15))\/((-4)\/y). Solve -c*z + 1 = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/35 + -2\/5. Let s = -0.8 - -0.2. Let o = 1 + s. What is the second smallest value in j, o, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 681761456 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 5*m - 3*t - 8, -m - 2 = 3*t. What is the tens digit of (m\/(-2))\/(1\/(-250))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 77265159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000181586146 rounded to 7 dps?\nAnswer: 0.0001816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m. Suppose 0 = -5*z + z + 312. Let v(y) = 4*y - z + 78. Give v(k(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:00 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4224 and 10472.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.2 + -47.2191. What is m rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(605) + 5.\nAnswer: 5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*9\/135 - (-4)\/18. Factor -s + 2\/3*v + 2\/9*v**3 - 2\/3*v**2.\nAnswer: 2*(v - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by 62.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -3, -79, -94, 1, 4 in ascending order.\nAnswer: -94, -79, -3, -0.07, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1, -67, -6, 17 in ascending order.\nAnswer: -67, -6, 0, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*y**2 - 212*y**2 - 208*y**2.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1\/28, 4 in decreasing order.\nAnswer: 30, 4, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y. Let f(o) be the first derivative of -o**2\/2 + 5. What is g(f(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1195)\/(-7) - 4\/(-14). Suppose j = 2*c - 117. Let o = c - 67. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2257947 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 2. Let d(g) = -5*g - 3. Let q(o) = -36*o - 21. Let n(s) = -15*d(s) + 2*q(s). Suppose 24*j + 29*j = 286*j - 1165. Determine j*x(i) - 3*n(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 - 3*b - 2*b - 2*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278373 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 46*j - 201. Let h be l(41). Solve i = 3*s - 19, -i - 2 - 22 = -h*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 48575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Let o(m) = m**3 - 7*m**2 + m - 7. Let b be o(7). Suppose b = 5*i + 11 + 14. Let y(s) = s + 2. Calculate i*y(n) - 4*z(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*u + 5*k, -2*k + 6*k = u + 45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, 5, -5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-15))\/((-2)\/(-25)). Suppose -2*g = -2*u + 6 + 2, r = 5*u - 3*g. Suppose z + 0 = u*p + 26, 0 = -4*z - 5*p - 1. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.187821 times 0.4\nAnswer: -0.0751284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:36 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -264562761 from -2281457.\nAnswer: 262281304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k - 36415659 = -36411840 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2636427, -5272948, -7909469?\n\"Answer: -2636521*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1091800833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/4*(36\/(-198) + 189003\/66). What is the greatest common factor of 184 and u?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7725, 30834, 69355, 123294, 192657, 277450, 377679?\n\"Answer: o**3 + 7700*o**2 + 2*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 81?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**3 + 13*v**2 - 13. Let i(y) = -3*y**3 - 3*y**2 + 3. Let c(a) = 2*h(a) + 9*i(a). What is the units digit of c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - 1\/(-3). Let x = 45 + -45. Suppose s + 8 + x = 4*m, -4*m - 4 = -4*s. What is the nearest to r in 4\/3, m, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/988579 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5 = 2*k, 16*k - 23 = 3*s + 20*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6396.8 + 0.1?\nAnswer: 6396.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 3. Let n(s) = -2*s + 1. Let r = -6 + 5. Let i be n(r). Let x(b) = 7*b - 5. Give i*x(y) + 5*h(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*g + 2585 = 0, -7*n + 3*g + 501 = -6*n. What are the prime factors of n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/15 - a**4\/3 + 3*a**2 + 83*a. Let i(q) = 2*q**2. Let h(g) = g**2. Let r(m) = -13*h(m) + 6*i(m). Determine r(l(o)).\nAnswer: -16*o**4 - 64*o**3 - 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63, -111, -191, -303?\n\"Answer: -16*v**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6168 and 29\/315339.\nAnswer: 2522712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*q - 30. Suppose 8*y - q*y = 4485. Let x = y - 944. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 25*i + 33. Let a(b) be the first derivative of 5*b**3 + 75*b**2\/2 + 100*b - 12. Let c(x) = 3*a(x) - 10*l(x). Factor c(q).\nAnswer: -5*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61.29705 hours?\nAnswer: 220669380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -846 divided by -6\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867339, -1734711, -2602083, -3469455, -4336827?\nAnswer: -5204199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 306036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*o + 19. Let x = 165 + -159. Calculate the least common multiple of o and x\/(-45) - ((-685)\/75 + 3).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(468)*-4 + -5 - -5*(sqrt(468) - 4*(-1*sqrt(468) - sqrt(468)))))**2.\nAnswer: -55500*sqrt(13) + 16017925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*j = 96*j + 30. Let l(c) = 5*c + 4 - 3*c + 3*c**3 - 4*c**3. What is l(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 5*n - 4. Let o(w) = w**2 + 2*w + 1. Let d(m) = 7*o(m) + 2*s(m). Let q = -29 + 21. Let g be ((-3)\/4)\/((-2)\/q). Give d(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 17. What is the second derivative of -335*f**5 - 3*f - 6*f + 326*f**o - 6*f wrt f?\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 - -0.8. Let g(w) = -w**3 - 20*w**2 - 18*w + 18. Let m be g(-19). What is the third biggest value in p, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 2 (b) 4\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.127 + -0.073. Let s = n - -2.6. Which is the third smallest value? (a) s (b) 2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = -4*w. Put -1, w, -5, 2 in descending order.\nAnswer: 2, -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-12995)\/(-15) + -1)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 39*o**2 + 1147*o - 36. Calculate the least common multiple of 24 and s(19).\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 - -0.12. Let f = k + 7.59. What is f rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 14 + 20 = 0. Suppose 2*v + 4*z - 16 = 0, -2*v - 2*z = -a*z. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1747383.9779 from -0.4.\nAnswer: -1747384.3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25841 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -61172877 at least -61172877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 30575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4 + 21*l**2 - 32*l**2 + 9*l + 20*l**2. What is j(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/8 - 3\/(-8). What is the tens digit of 93 - s\/((-6)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + ((-261)\/27 - -11). Suppose 4*m = z*j - 8, -2*j + 2*m + 6 = 8. Let k(i) = 2*i. Calculate k(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/(-12))\/(-4263)*7?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 3, x: 3}. Give prob of picking 1 u and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3819 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: Put 9694, -0.8, -3\/2 in increasing order.\nAnswer: -3\/2, -0.8, 9694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769532 a multiple of 2296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 - 4*q. Let l(k) = 25*k - 203. Let u(d) = 6*d + 98. Let j be u(-15). Let v be l(j). Calculate b(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -14544499.\nAnswer: -14544499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (11 - ((19 - 15) + 11)) - 11) + -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.57 and -0.685.\nAnswer: -16.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*6*(sqrt(567) - sqrt(567)*2)*-3)**2.\nAnswer: 26453952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 3)*(0 + 0 - 5*w).\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13262 and 69582.\nAnswer: 461398242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 27*r**2 + 1514*r + 30. What is u(-56)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/5224 and 63\/40.\nAnswer: 26120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*9)\/(17 - 20). Let i be 6*(-3)\/(-27)*6. Suppose 0 = h*j - i*n - 154 - 207, 0 = -4*j + 2*n + 498. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293070 divided by -293070.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -20, -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 7*x**4\/4 + x - 154. Let r(c) = -4*c + 4*c - 2*c**2. Calculate k(r(b)).\nAnswer: 84*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 996\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34314 (base 5) to base 14.\nAnswer: c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 372740.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 36 - (-8)\/(-2). Suppose k + 161 = 4*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(52) - (sqrt(52)*-2 + 1)))*5 + -5.\nAnswer: 10 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**5\/60 + r**4\/24 - 2*r**3\/3 - 2. Let y(x) be the third derivative of n(x). List the prime factors of y(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116.98 - 117. Let k = -0.0327 - a. What is k rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1698*b**2*o - 22*b**2 - 2*b - 7*o - 1107 with respect to o.\nAnswer: 1698*b**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1338 + -715. Let y(f) = 2*f - 9. Let x be y(6). Suppose -1650 = -3*b - x*r, 3*r = -b - 73 + i. What is b rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31\/10 + -27\/10. What is the smallest value in -0.2, t, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 24\/11. Sort -2\/15, b, 3\/5.\nAnswer: b, -2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (8 + (-469)\/(-77) + -8)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200745789016 - 206.\nAnswer: 200745788810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by -3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -25. Solve 4*x = -z - 7, l*x + 5*z + 0*z + 19 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 20. Let t(i) = -i - 19. Let r be t(-10). Let h be n(r). Let l be ((-3)\/(-2) - h) + (-25)\/(-10). Solve l*o + 0 = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -45*(-1 - (-2)\/3). What are the prime factors of (w - 16) + 109 + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/70122 and 149\/8352.\nAnswer: 3365856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m - m)*(-m - 290 + 142 + 145)*(-m**3 + 2*m**3 - 3*m**3).\nAnswer: 2*m**5 + 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -396 + 406. Suppose -1 = n - 3. Suppose 9 = 3*a - u, -n*u - j = -7*a + 3*a. Solve 2*l + a = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788716989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2 + -18a4?\nAnswer: -1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 324 - 533. Let f = 348 + q. Let p = 138.99999917 - f. What is p rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a - 5?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6212 by -589.\nAnswer: 6212\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**2 - y + 22. Let z(x) = -5*x**2 - x + 11. Suppose 0 = 2*g + 22 - 14. Let r(b) = g*k(b) + 7*z(b). What are the prime factors of r(9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsu when three letters picked without replacement from kfucfskkkskf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(3\/8))\/d)\/d**(2\/11)*d**2*d**(-5\/4) assuming d is positive.\nAnswer: d**(105\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -83618586894503.\nAnswer: -83618586894508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, 60 in decreasing order.\nAnswer: 60, 3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 14) in base 6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -19a27?\nAnswer: 19a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -1. Let r(g) = 1729*g**3 - 6*g**2 + 9*g - 12. Let u be r(9). Let a be w\/(-7) + u\/(-42). What is a rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 7*c**3 - 5*c**3 + 5*c**3 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**3 + g**2 - 2*g**2 - 2*g**2 wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 35\/2*t**2 + 0 - 5\/12*t**4 + 2*t - 5*t**3. Solve d(l) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045023 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189647 and 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -2, 64, -1\/3.\nAnswer: -66, -2, -1\/3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.73 - -0.07. Let n = 0.7925 - t. Round n to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4*i + 4. Let x(t) = -3*t**2 + 7*t - 9. Let s(v) = 5*r(v) + 2*x(v). Let l be s(0). Solve u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47354968 to the power of 1\/2, to the nearest integer?\nAnswer: 6881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:07 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 14*m + 202. Let c(a) = -3*a**2. Give t(c(n)).\nAnswer: -9*n**4 + 42*n**2 + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c = 15*o - 55*c - 157, -o + 2*c + 3 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28 and 23 + -20 + (2600\/(-348) - -4)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -23. Suppose -y + x = 2*y. Suppose 21 = -4*o + 5*s, 0 = -y*o - 5*s + 29. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -977*-31047.\nAnswer: 30332919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (3 - (-3 + 6)). Suppose 5*l - 3*h - 111 = -0*l, -s*h - 6 = 0. Solve 2*t + 8 = 2*o, -5*o - 4*t - l = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*z - 1 - 804 = 80 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-39)*-17 + 5. Let d = p + -13. Which is bigger: d or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -9*v**5\/20 + 5*v**4\/12 - v**3\/2 + 80*v. Let d(n) = -14*n**3 + 8*n**2 - 4*n. What is -8*a(t) + 5*d(t)?\nAnswer: 2*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g + 0*g**3 - 3 + 0*g**4 - 1\/840*g**6 + 11*g**2 - 1\/420*g**5. Suppose r(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.242 from 0.01.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-3 + 3 + 1)*(0*g - 3*g + g)*((1 - 3 + 0)*(-3 + 1 + 1) - 4 + 2 + 8) as j*g + y and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41\/12 - -15\/4. Which is the third biggest value? (a) 29 (b) u (c) 1 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19590?\nAnswer: 2, 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 20*n**2 + 72*n**2 - 25*n**2.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72, 55, 38, 21, 4, -13?\n\"Answer: -17*v + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(-26 + 12 + 65).\nAnswer: 102*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16253 (base 7) in base 14?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-30950.\nAnswer: -154750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46273 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(33)\/(sqrt(3)*-1)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168525377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*j - 16, -i + 13 = 3*j - 0*i. Solve z + j = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 1, x: 4, m: 1, l: 2, t: 5}. Give prob of sequence xt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (38 - 49\/7). Suppose z + b - 3*b = 6, 2*b - n = -4*z. Solve -z*t = -3*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2026 - 49271. Let h be n\/(-9) - (-4)\/12. What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1498.\nAnswer: 5992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 - 12*o**3 - 8*o + 8*o.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/360 - 7*u**4\/24 + 2*u**3\/3 - u. Let y(j) be the second derivative of l(j). What is the derivative of y(h) wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 19574478.991\nAnswer: 19574475.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(2 - 68\/36). Which is smaller: k or 0.289?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 5597?\nAnswer: 5596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 17 + f**2 - 32*f**4 + 15*f**4 - 2*f + 15*f**4 - 2*f + f**3 to x*f**4 + c*f + q + o*f**3 + r*f**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -234 and -3202.582?\nAnswer: 749404.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43824446.\nAnswer: 2, 2801, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9910 - -9730.14. Let g = q + 34.76. Let x = g - -145. What is the second biggest value in x, 0.3, -12\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1545397671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79343415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25179179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.8 in -44, 0.5, -15, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -10 - -4 - (28 - 22). Solve 0 = t*s - 4*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5 - 193865*g**4 - 3488410*g**3 - 17828170*g**2 - 33717345*g - 19183725 = 0?\nAnswer: -38755, -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-35))\/((3\/4)\/((-42)\/(-28)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1628, -1, 3, 268, 1, 5 in decreasing order.\nAnswer: 268, 5, 3, 1, -1, -2, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*o + 3*o - 2*x, 0 = -o + 5*x + 3. Suppose 4*v + 97 + 75 = 0. Is v\/o - (-6)\/(-12) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -18.\nAnswer: -18, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010693 rounded to four decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-1720)\/(-1376)*(-1656)\/15?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1710)\/(-266))\/(-3*4\/(-28))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:01 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3\/26, 1\/4, 5\/6?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + k)*(-8 + 3 - 12)*(5*k**2 + 6*k**2 - 7*k**2).\nAnswer: -68*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/30 and -97\/345?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1007302\/59 less than or equal to -17072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 1, x: 2, h: 1, e: 2, p: 1}. What is prob of sequence aah?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 7. Let f be 15*5\/(10\/(-18)). Let u be f\/36 - 1\/4. Is u > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, a: 1, i: 1, q: 3, l: 2}. Give prob of picking 1 s and 1 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 - 68*q + 152 = 0. What is q?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -25 + 3. Let k = 323 + -169. Calculate the greatest common divisor of k and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 - -128.94557.\nAnswer: 129.07557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 + 1)\/(161\/93219). What is the greatest common divisor of x and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 4*d - 18. Does 3 divide b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/201 and -97\/3102.\nAnswer: 207834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 8*x + 9 + 0)*(x**4 - 3*x**4 + 3*x**3 + 3*x**4).\nAnswer: 8*x**5 + 23*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-5)*95\/(-19). Suppose 3*y + 1500 = 7*y. Suppose -r*w = -7*w - y. What is the highest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 9 + 24*x**2 - 16 + 17*x**2 to the form d*x**2 + v*x + b and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 11*g + 14. Let j be 3 - (-1 + 2 + -4). Let w be u(j). Let l = -73 - w. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.035 times -0.3?\nAnswer: 9.9105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1145\/87?\nAnswer: 1145\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2 + 5 + n + 0*n - 2*n. Let y be s(4). Suppose 3*i - 2 = 2*i + 3*f, 8 = 4*i + f. Sort -5, i, y in ascending order.\nAnswer: -5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -187*f + 3878. Give i(17).\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**4 + 6*v - 8\/3*v**3 + 0 + 0*v**2 + v**5. What is the second derivative of a(w) wrt w?\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 192*w**3 + 218*w**5 - 192*w**3 + (2*w**4 - 3*w**4 + 2*w**4)*(3*w + w - 2*w) - 2*w**5 + w**5 + 0*w**5 - 3*w**5 - 2*w**5 + 3*w**5 - 3*w**5 - 2 + 2.\nAnswer: 214*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, -5, -1.\nAnswer: -5, -1, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 20 = 0. Suppose 37 = 9*j - 17. Put 1, v, 0, j in ascending order.\nAnswer: 0, 1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Suppose -4*v - 4 = -3*v. Let n be 0\/(v + 3)*1. Solve n*g = -2*g - 2*r - t, -5*r - 4 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*q - 33 = 69*q + 5*g, g - 1 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 982630.2 decades in years?\nAnswer: 9826302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 0.01373172857581.\nAnswer: 0.31373172857581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -1\/630*k**7 - 2*k**2 + 0*k + 0*k**6 + 0*k**3 + 0*k**5 + 0 + 0*k**4 - 1\/1008*k**8. Factor a(g).\nAnswer: -g**4*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from ougzxxsuz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/3 - 322517*q - 15481072\/3 = 0. Calculate q.\nAnswer: -16, 967567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.349044 millilitres to litres.\nAnswer: 0.005349044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/1891 or 0?\nAnswer: 18\/1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 10*h**5\/3 + h**4\/12 - 73*h**3\/6 - 224*h**2 + 2*h. Find the first derivative of l(f) wrt f.\nAnswer: 400*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 3*u**2 - 4*u + 2. Suppose 3*y = 5*y + 8. Let d be a(y). Solve 7 = -d*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 460542544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {s: 2, w: 3, k: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14945 divided by 427?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745.8*0.01.\nAnswer: 7.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24148 - 9568. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*a + 31, 217*a - 214*a = -2*m - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 2420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -10, -3*m - j + 22 = 27 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 + 98.91. Let k = s - 99.714. Round k to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/2))**(-31)*((r*r\/(r\/(r\/(r\/r**(1\/3)))))\/r)**(-37)*(r**(-6)*r**(1\/11))**(-1\/8) assuming r is positive.\nAnswer: r**(-15337\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 50 = 160*z - 157*z, 2*s = 4. Let k(i) = i**2 - i - 1. Let n be k(-2). Solve -z = n*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3822\/490 - (7\/3 + (-14)\/42)\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 9*h**2 - 5*h - 785. Let w(x) = -x**3 - 5*x**2 + 3*x + 392. What is -3*f(j) - 5*w(j)?\nAnswer: -j**3 - 2*j**2 + 395","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 n, and 1 q when four letters picked without replacement from {q: 7, g: 3, x: 1, n: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*a - 260 - 7868 = 5573 + 2763 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 620 = 4*x, 4*v + 10 = -5*x + 515. Suppose 18*q - 14*q = v. Let i = -19 + q. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(3\/24 + 65\/312). Is h not equal to 1\/178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 83. Let k(r) be the second derivative of 0*r**4 + 0*r**3 - r - 1\/20*r**5 + 0*r**2 + f. What is a in k(a) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 6*m - 4*m - 10*m as u + b*m and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 + 5*l + 5. Suppose -2*s = 8, 4*y + 4*s = 7*y - 22. Suppose 2*j + 5*c - 12 = 5, -2*j - 2*c = -y. Give q(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40047776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125901555851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {f: 9, j: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3108*l**5 + 1206*l**2.\nAnswer: -186480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:39 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 8 (c) 4\/7 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13352000 to the nearest one hundred thousand.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001813977 rounded to 6 decimal places?\nAnswer: -0.001814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 3*g - 2*g)*(2 - 2 + g**2) - 1474*g**3 + 1472*g**3 + 8 + 0 as y*g + k + f*g**2 + v*g**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 2*o + 104 - 217 + 112 - 3*o**4 to the form y*o**3 + d + v*o**4 + n*o**2 + i*o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {m: 2, c: 1, b: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 + 4*m**2. Let w(q) = 4*q**3 - 3*q**2. Suppose -2*x + 1 = -7. Determine x*w(s) + 3*k(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3*l**2 + l + 3. Let x be t(3). Does 8 divide (32\/x)\/((-4)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 439878, 5 in increasing order.\nAnswer: -5, 5, 439878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 233, 108, 4 in decreasing order.\nAnswer: 233, 108, 4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*s - 3, 3*n = 2*s + 23. Suppose -30 - 90 = -n*w. Let t = 37 - w. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 214.999936 - 215. What is u rounded to 6 decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77883 is divided by 38890.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30338260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93175618*b**2*c**3 + 555*b**2*c**2 + 220*b**2*c + 6*b**2 - 5*c wrt c?\nAnswer: 559053708*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5624411?\nAnswer: 13, 59, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 7 = -2*d, 5*l + 175*d - 159*d - 9 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**4\/2 + 23*z**3\/3 + 5*z**2 + 29*z - 21. Let v be c(12). Solve -4*a = -4*m, 0 = -a + v*m + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 47*z - 431. Let h be t(-13). Suppose -6*y + 24 = -2*y. Solve h*a = y*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:06 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -9*g**4\/4 + 2*g + 8. Differentiate p(v) wrt v.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1530 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhhhlhlhhhhhhhhhl. Give prob of sequence hlh.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/3 + 11354*t**4\/3 + 5202912*t**3 - 1446245240*t**2\/3 - 1461842624*t\/3 = 0. Calculate t.\nAnswer: -2882, -1, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siq when three letters picked without replacement from {h: 1, q: 7, e: 3, s: 4, i: 1, u: 2}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -18*y + 3. Let m be o(-1). Does m = 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Suppose -126 = x + m*t, 0 = -5*x - 3*t + 2*t - 700. Let n = -53 - x. Calculate the greatest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -5 (b) -4 (c) -2\/3 (d) 945\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 315*r**2*v + 5*r*v**3 - 2006*v**3 with respect to r.\nAnswer: 630*r*v + 5*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 349\/285 - 22\/19. Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62623406 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33077737?\nAnswer: 7, 11, 429581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95750 is divided by 1297?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 21*u + 193. Let v be q(-9). Suppose -2*b = -2*a + 86, 4*b = -a + 43 - 5. What is the units digit of 3 + -4 + (a - v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*b - 4*p - 86, 2*b = p + 120. Calculate the remainder when 125 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1222*g + 1396*g - 686*g + 453*g + 68*g + 544*g.\nAnswer: 2997*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.53 and -30578.\nAnswer: -30578.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 257 + 7b3?\nAnswer: a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -27019000 to the nearest one hundred thousand.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 8*n**2 - 35*n + 24. Let a be o(11). Find the second derivative of -129*t + 11*t**4 - 64*t + 32*t**a - 20*t**2 wrt t.\nAnswer: 132*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267196 times 1.2\nAnswer: 320635.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.9719ng?\nAnswer: 0.0029719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -45*l + 66. Let j be g(5). Let v = j + 164. Solve -5*q - 4*f + 4 = -2*q, 2*f = -v*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/446?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 82 - 56 = 3*q - 351, -4*q - 26 = -l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -2*g - 5*u, 3*g - 169 = -2*u - 840. What is the tens digit of (30 - 31)*(0 - g)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 33 - 25 - 93 = -15*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2759922 divided by -41817.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 7 (c) 5 (d) -12 (e) 0.052 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2\/2 - 23. Suppose -3*r = q + 4*q - 1, 4*r - 24 = -q. Let p(l) = r*l + 0 - 23*l + 0. Determine p(h(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.09248 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Differentiate -2 + 2*d + 8*d + z - 3 with respect to d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1143431 (base 5) to base 16\nAnswer: -54ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94219617 and 1293?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 11*j**2 + 2*j - 5. What is the tens digit of b(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 32. Let g be m(-11). Let l be (-12)\/(-18) - g\/(-3). Calculate the highest common divisor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 0*z + 877*z**3.\nAnswer: 877*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 13 = 4*s - 8, -f - 6 = -3*s. Let p be (0 - -1) + 9 - 1. Solve 3*u + p = -f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -313899*w**3 + 847952 wrt w?\nAnswer: -941697*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u + 6. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 10*z**2 + 19*z - 13. Let o be y(9). Let d be 88\/o + (8\/(-14) - 0). Which is the nearest to -0.2? (a) 0 (b) -2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 47*u - 2. Let k(s) = -4*s**2 + 27*s + 55. Let x be k(-2). What is the hundreds digit of v(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/72 - (-104)\/(-18). Does 7 divide 20\/p*9\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-8 - (1 - 0) - -13) - 25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -x. Suppose j - 13 + x = 0. Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 3:46 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 1406.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 260, 2022, 6798, 16094, 31416, 54270?\n\"Answer: 251*c**3 + c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-19))\/s**(-16)*s**(-33)\/s**(24\/7))**(-27) assuming s is positive.\nAnswer: s**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -32. Let s be 100\/15 - m\/3. Solve -s*z - 7 + 32 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-10) - ((-61546)\/10 + 0). Are r and 6153 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:33 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 16 - 4. Let y be (-128)\/(-24) + ((-2)\/3)\/2. Put 3, y, v in descending order.\nAnswer: y, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:33 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -82\/869793?\nAnswer: -82\/869793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1142085070 to the nearest 1000000.\nAnswer: 1142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 30*k - 62. Let d be c(-32). Solve 0*t + 2 = 4*h + t, d*h + 5*t = 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 40*b**2 - 207*b - 800. What is s(33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*-1*(-45)\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 70. Suppose -b - 13 = -2*x - 49, q = b - 3*x - 40. Suppose -87 = -4*p - 5*l, -2*p - 4 = 5*l - 35. Is p at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/50)\/(-9)*(-900)\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*s + 367*s + 633*s - 1410*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*-6*6\/(-360)*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b - 2. Let m(u) = u**2 + 5*u + 1. Let h(r) = -4*m(r) - 3*t(r). Let i be h(-3). Is i\/(-2) + (-153)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1292*l**4\/5 - 1550*l**3 - 11616*l**2\/5 + 18*l\/5 = 0. Calculate l.\nAnswer: -3, 0, 1\/646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205616*k - 205616*k - 2029*k**2.\nAnswer: -2029*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 2*j**2 + 5*j - 2. Let n be g(2). Let t = 33 - 14. Let u = n + t. What is the remainder when 11 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7)\/a*a**(-3))**36 assuming a is positive.\nAnswer: a**(-1152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (285\/(-54))\/(4\/12) and -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-6)\/10)*-1. Suppose -i + 10 = 3*i - p, 5*i - 4*p - 18 = 0. Let q(n) = n + l*n + i*n. Let v(o) = o. Determine q(v(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 1. Suppose 0*f - 1 = -f. Let l(z) = -z - 1. Let q be l(f). Let x be ((-1)\/q)\/(3\/6). Determine n(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1730197 to four decimal places.\nAnswer: -0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12)*-24*(-26)\/(-16))\/(20\/(-120))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {i: 7, m: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3663 - 5.43. Let g = 0.0363 - u. What is the second smallest value in 0.3, g, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjj when four letters picked without replacement from {j: 2, e: 1, c: 2, p: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 433896 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-7)\/(-7) - 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2510, 5019, 7528, 10037, 12546?\n\"Answer: 2509*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*k - 42*k + 183*k as m*k + c and give m.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223844456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169052023\/795 + -212644. What is the common denominator of -22\/7 and b?\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - o, 1 = -u - 2*o - 1. Let q = 9 - 13. Let p(t) = t**2 + 2*t + 1. Let y be p(-1). Put y, q, u in decreasing order.\nAnswer: y, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let v(a) = -a - 8. Let k = -36 + 25. Let f(n) = 2*n + 24. Let u(l) = k*v(l) - 4*f(l). Let t(p) = -2*c(p) + u(p). What is t(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*h = -18, v - 5*h = -46 + 34. Solve -2*y = -b + 3 - 12, v*y - 19 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/144 and 55\/162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/36 (b) 4 (c) 441 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10679 is divided by 371.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1179 (base 11) to base 7\nAnswer: 4325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d - 10. Let a be (-1 + (-1 - -2))\/d. Let u be 10\/25*(-12 - (-63)\/7). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8027631.9 seconds to hours.\nAnswer: 2229.89775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 12 in descending order.\nAnswer: 12, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-7)\/3. Suppose -3*q = 4*v + 65, z*q + 70 = -0*v - 5*v. List the prime factors of 126 - (3\/q + 45\/(-25)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let l be 6\/(-8)*(-6)\/(-9). Sort k, -2\/15, l.\nAnswer: l, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -101*a - 461. Let m(s) = 51*s + 229. Let z = -241 + 236. Let r(h) = z*m(h) - 2*p(h). What is the derivative of r(l) wrt l?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10920 and 1884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024403.\nAnswer: 3, 29, 23269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*z - 0*z - 159, 5*b = 4*z + 168. Suppose 5*p + 31 = b. Put p, 2, 5 in descending order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6 - 4*g + 8*g**2 + g + 2*g**3 + 4*g - 7. Let b be u(-6). Let c = 251 + b. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 1 + (2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 15082 - 15147 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x. Let v be z(-2). Suppose v*p + 3*i - 18 = 2*i, 0 = i - 2. What is the second derivative of 3*k**3 - 4*k - p*k + k wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*1 - (-207)\/69. Solve 6*c - j = -27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjicpjjicjjc. What is prob of picking 1 c, 1 p, and 1 j?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -5\/9 (c) -0.02 (d) -4 (e) 8\/23 (f) -1\/3 (g) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 4. Let m(k) = -7*k + 7. Calculate 10*c(o) + 4*m(o).\nAnswer: 2*o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125905718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-28 + 60)) + (32 - -18).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 48 = -14*x. Factor 0*s**x - 2\/9*s**3 + 2\/9*s + 0.\nAnswer: -2*s*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 61*t. Let g(m) = 6884*m. Calculate g(f(k)).\nAnswer: 419924*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 220420*b + 4406800.\nAnswer: 4*(b - 55085)*(b - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 - -177.12. Let x = -1 + 1.12. Let l = i - x. Sort 1, l, 0.5 in ascending order.\nAnswer: l, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 1088*m**3 + 35844*m**2 - 117432*m = 0. What is m?\nAnswer: -233, -42, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -3617 (c) -5\/14 (d) -0.2 (e) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, 107, 665, 1749, 3533, 6191?\nAnswer: 9897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4606 + 4606.5187. Round v to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 34 = 2*s - 7*s, 94 = 4*w - 3*s. Suppose 2*v = -3*j + 46, v + w = j + 3*v. What is the least common multiple of 18 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Suppose -7*t - 4 + 11 = 0. Let v = f - t. Calculate the remainder when 3 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1, -2\/29, -0.64.\nAnswer: -1, -0.64, -2\/29, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1601788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/6 + 13*b + 3. Let d(q) = 1. Let n(f) = -11*f - 33. Suppose p + 6 = 39. Let x(k) = p*d(k) + n(k). Give x(v(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 5*b**2 - 3. Let t(y) = y**3 + y**2 + 1. Let n(u) = -p(u) - 3*t(u). Factor n(r).\nAnswer: -r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let g(o) = -13*o + 28. Let u(f) = g(f) - 5*r(f). Let c be u(4). Solve -2*m + c = -4*m + k, 5*k - 15 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16)\/((-17)\/68).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4041661 (base 7) to base 4\nAnswer: 1311121300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4235014*-0.1\nAnswer: -423501.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*d**2 + 1064*d**2 - 11649*d**2 - 1617*d**2.\nAnswer: -11352*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/80 - (-310)\/16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 6 + 1)*(-3*q + 2*q - 3*q) - 1 + 2*q + 1 + (-1 - 4 + 4)*(-2*q - 2*q + 3*q) + 2 - q - 2)*(5*q + 3*q + 1 - 12*q)*(-3 + 0 + 0).\nAnswer: -312*q**2 + 78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*(-12)\/(4 - 6). Let d(l) = l + 7. Let w be d(x). Let n = -188 - -188. What is the second smallest value in 4, n, 5, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5944232 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 11*s**7\/120 + s**4\/4 + s**3\/3 - 31*s + 120. Let l(o) be the third derivative of k(o). Differentiate l(a) wrt a.\nAnswer: 231*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 2. Let n be i(6). Solve -2*s - 4 = -4*a - n, 0 = -5*s - 5*a + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -2\/9, -1\/91184, 2\/3, -2\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19.25*-0.36\nAnswer: -6.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1147 (b) 0 (c) 2 (d) 9 (e) 1 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/a)\/(a*a**1))\/((a\/a**(4\/3))\/a*a*a\/a**10) assuming a is positive.\nAnswer: a**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - -4 - 7 - 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17766 + 17764. Let i(u) = 2*u - 6*u - 4*u - 1. Give i(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 0 - (47 + 2 + (3 - 38))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**17)\/d)\/d**(-12\/7) assuming d is positive.\nAnswer: d**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p**2 - 25*p**2 + 11*p**2 + 22 as c*p**2 + j + k*p and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s**5\/2 - 65*s**4 + 2*s**3 + 57*s**2 - 45*s\/2 = 0 for s.\nAnswer: -1, 0, 3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 1558*y - 1562*y = 39 + 9, y + 28 = 2*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2450 is divided by 887.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 8*o**2 + 8*o - 6. Let m be c(7). What is the greatest common factor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + -3321?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103321 (base 4) to base 2.\nAnswer: -1010011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, o: 2, h: 1, i: 4, g: 1, l: 2}. What is prob of picking 1 i, 1 z, and 2 o?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -446a5 - 5?\nAnswer: -446aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*z - 75, -20*z + 65 - 90 = 5*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*86*2\/(-4). Suppose -2*t + 31 = -g. Suppose -62 = -y + t. Calculate the highest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3201*r + 3200*r + 8 = 2*y, -2*y = 11*r - 48 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -5*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -25. Suppose -3*u - u - 20 = 0. Let i = b + u. Calculate the remainder when 7 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.1 + -14. Is l <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - c = -8, 5*c = -4*g + 6*c + 16. Suppose -4*l + 414 = g*q, 0*q + 95 = l + 5*q. Calculate the remainder when 62 is divided by (l\/20)\/((-1)\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2754.4069 * -4\nAnswer: 11017.6276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k - 2*k)*(3 + 2 - 3)*(1 + 2 - 1).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7. Let r(i) = -2*i - 3146. What is 12*q(l) + r(l)?\nAnswer: -2*l - 3062","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 760843 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 20*o**2 + 20*o. Let s(b) = -b**2 + 4 - 4 - b. Let y(x) = 2*a(x) + 36*s(x). Factor y(p).\nAnswer: 4*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1148.649\nAnswer: -114.8649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 4515?\nAnswer: -4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 + 242\/11. Suppose -11*n + 14*n - g = 0. Calculate the remainder when 25 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -771, -5, -2509?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86027 - 51896. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxpxxxxxxxxppxx. Give prob of sequence xp.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 15*z + 22.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 25 = -393*l + 391*l, -11 = 8*l + k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 67 + 9 = 0. Suppose -3*d - 843 = -c*b - 191, 0 = -5*b - 3*d + 788. Calculate the remainder when b is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3 - 0. Do 1\/12 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111020200 (base 3) to base 4.\nAnswer: 2112321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 11 = -4*y, -y = -3*u - 2 + 6. Let q = y + -4. What is the highest common factor of 7 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10000?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 13*c - 1. Let r(x) = 3*x**2 + 13*x. Let d(a) = 4*n(a) + 3*r(a). Let j be d(14). Suppose -6*m - 108 = -j*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1b22?\nAnswer: -1b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Let u be (1 - 4)*1 + v. What is the remainder when 29 is divided by 2\/u*3 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3769 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 5*i - 60 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217)\/77 + 3 + (7320\/(-990))\/(14\/9)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120999.6 and 3.\nAnswer: -362998.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Suppose 3*s - 4 + 21 = 4*n, 4*n + 3*s = -1. Suppose 2*k + n = 3*k. Solve q = -k*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g - 1. Let r be d(-1). Put -4, -2, r in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 5*z - 5*z)*(6 - 2 - 2)*(6 - 6 + 2*z).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42857 is divided by 42851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 854380841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*q + 16, l - q = 4*l + 16. Which is the smallest value? (a) 3 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {q: 1, p: 8, y: 6, c: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 20. What is the third biggest value in 2\/3, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -423 + 455. Calculate the remainder when 157 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 422311276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 16. Let x(w) = -w + 7. Suppose -i + 7 = -u - 0*i, 5*u + 3*i - 5 = 0. Let g(t) = u*v(t) - 5*x(t). What is g(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145848 and 15517.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4) - (-171)\/38) + 1. Suppose 30*d = 1075 - 85. What is the greatest common factor of y and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 825 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(5\/((-25)\/(-4)))\/(10\/25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 14, 52, 126, 248, 430, 684?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 510*p**4 - 117180*p**3 - 5662440*p**2 - 84460320*p.\nAnswer: 5*p*(p - 228)*(p + 42)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 2. Suppose -266*n = -259*n + 49. Give d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185.08 - -5.42. Let d = -194.4986 + j. Let w = 4 + d. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 3, -5, -2.\nAnswer: -5, -2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a + 9 - 6*a - 3*a**2 + 6*a**2 - 1. What are the prime factors of c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 67*x + 29. Let i be w(33). Let j = -3.08 + 0.08. Which is the closest to -0.1? (a) j (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/((-42)\/(-315)). What is the lowest common multiple of 20 and ((140\/(-49))\/t)\/((-2)\/(-7))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppo when four letters picked without replacement from {o: 2, p: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -12, -3*f = -3*o + 7*o - 3. Let k(c) = c**3 - 4*c**2 + 3*c - 8. Give k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/5 - 162*y**3\/5 - 303*y**2\/5 + 468*y\/5 = 0. Calculate y.\nAnswer: -52, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4054889 or -4054890?\nAnswer: -4054890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:51 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 797\/44 + -202\/11. What is the second smallest value in 5, f, 4\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3813503 times -0.1?\nAnswer: 381350.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*2\/(-3))\/4. What is the closest to 1\/2 in -1\/4, -0.04, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(9\/(-12) - 1\/(-4)). Let y = -46 + t. What is the remainder when y is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0 (b) -282 (c) -593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65\/18 + -11\/3. Let l = -2996\/9 - -3002\/9. Is l at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 151 + 158 = -3*d, s - 3 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + x**4 + 14*x - 3*x**4 - 13*x as n*x**4 + z + u*x + r*x**2 + j*x**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6325185 or 6325157?\nAnswer: 6325157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11212341 by 11212341.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*v + 33. Let c = v + 32. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqgqgmmmmmmmmm. What is prob of picking 2 m and 1 q?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.7411 and 0.41312.\nAnswer: 2.15422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 459 + 19 = 0. Suppose 2*x - s = -14. What is the second derivative of 31*n + 16*n**5 - n**5 - x*n wrt n?\nAnswer: 300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2584)\/(-3587)*14\/9. Let l = w + -2\/211. Let j = -2236 + 8883\/4. Calculate the common denominator of l and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*((2*((sqrt(684) + 0)**2 + sqrt(684)) - (-1 + 2 + sqrt(684))) + -4).\nAnswer: 36*sqrt(19) + 8178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.98 - 0.02. Let u = -2 - l. Let n = -0.03 + 2.03. What is the closest to n in -4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/10 - i**4\/2 - 2*i. Let z(y) = y**2. Let c be (3\/2)\/(12\/8). What is c*t(g) + 6*z(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2 - 2706*r + 2710*r + 2. Let q(d) = -2*d. Give n(q(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 58*g + 5. Let o(q) = -29*q - 2. Let l be 674\/3707 + 106\/22. Calculate l*o(v) + 2*t(v).\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 4. Let o(a) = 195*a - 27. Determine -6*g(r) + o(r).\nAnswer: 183*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pttnant. Give prob of sequence apt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1802, -1, 1, -6, 23 in decreasing order.\nAnswer: 1802, 23, 5, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -164, -1104, -3440, -7802, -14820, -25124, -39344, -58110?\n\"Answer: -105*l**3 - 68*l**2 - l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 0*s**2 + 0*s**2 - 3*s**3 + 2*s**3 + 0*s**3 + 3*s**3 - 6*s**3 + s**3 + (2*s**2 + 4*s**2 - 4*s**2)*(3 - 3 - s))*(5 - 2 - 6).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2704246.00116 + 2704196. Let o = q - -50. Round o to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22*d + 54 = 0. Let h(o) = 5*o + 9. Let z(u) = -2*u - 3. Let g(b) = 4*h(b) + 11*z(b). Let k(p) = -2*p + 2. Give d*k(m) + 2*g(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 4, -5, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12248241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -329*d**2 - 36009*d + 72016. What is n(2)?\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 594, 1696, 3844, 7386, 12670, 20044, 29856?\nAnswer: 42454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + 41*h - 15 - 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**5 + 1\/15*z**6 + 9\/2*z**2 - 6*z + 0 + 0*z**3 + 0*z**4. Differentiate r(d) with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 318\/66 - 92\/(-506). Let g(z) = -10*z - 8. Give g(u).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-6 - 2) + (-6 - (-2568)\/232)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1492287327 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p - 26*p + 2*p - 24*p to the form l + b*p and give b.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29535919 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 3 = 5*m. Let n(a) = a**2 + 10*a + 9. Let p be n(-1). Suppose -3*h - 3*i + 68 = 23, -27 = -3*h + 3*i. Solve p*l = m*l - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -8119*u**5\/5 + u**3 - 324*u + 3690. Find the third derivative of w(t) wrt t.\nAnswer: -194856*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 3*c + 9 - c**2 - 2*c. Let s(h) = -1. Let y(o) = -2*i(o) - 18*s(o). Find the second derivative of y(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -222\/13, 1 in descending order.\nAnswer: 1, 2\/7, -222\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9 = -v, -5*d - 42 = 2*v - 9. Let m = -3 - d. Suppose -12 = -3*i - 5*w + m*w, -w = -2. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 + -4. Which is the smallest value? (a) -1 (b) d (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 1226788 + 2273212. Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -416724 and 2.45.\nAnswer: -1020973.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**2 + 3*u**2)*(-1 + u + 1) + (0 + 0 - 2*u**2)*(2*u + 0*u - u) + 6*u**3 + 54 - 54.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -16 + 4*n - 8 + 55 + 6 - 11 - 17. Let p be 65\/(-7) - (-4)\/14. Let k(o) = 2*o + 4. Give p*k(v) + 4*r(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3941.78 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22410 and 71\/1494?\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 4 (b) -9 (c) -1\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 726 = 4*r. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c2a6 (base 14) to base 10.\nAnswer: -33466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/21*1*(-1)\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82*1.77\nAnswer: 145.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let p = -5 - -1. Let t = -512.5 + 512. What is the biggest value in s, t, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.570078 rounded to 3 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 + 1)*(-3*b - 2*b - 3*b).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09492 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 0, -6\/31, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -137, -261, -423?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/47776 and -21\/23888.\nAnswer: 47776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 3*r + 197.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13036?\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/11 - -19\/44. Sort -4, 4, s in decreasing order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 9*k + 4. Let t be w(-9). Let c(g) be the third derivative of -1\/12*g**4 + 0*g**3 + 0 + 0*g + 2*g**2. What is c(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78505756 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 0.5, -0.0584 in descending order.\nAnswer: 22, 0.5, 0, -0.0584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + -116. Let k be 2*11\/2 + -4. Calculate the greatest common factor of k and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = n - 26, -b + 16 = -2*n + 48. Suppose -4*s - 2*k + 2 = 0, s + k = 4*s - n. Solve -5*w + 2*y - 30 = -s*y, -5*y + 28 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 1421?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003205909897 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -176, -563, -1314, -2549, -4388?\nAnswer: -6951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**2 - 8*a**2 + 15*a**2 - a**2.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54*7\/(-10206))\/(8\/(-6))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j - 13 = 5*w, -4*j + 6 = -5*w. Let g(k) = k**3 + 12*k**2 - 2*k - 15. Let z be g(-12). Let r be -1 + -1 + -10 + z. Sort w, r, 5.\nAnswer: r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -384708 or -382572?\nAnswer: -384708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1620631 is divided by 1632?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2865*i**3 - 277*i + 8*i**2 - 8*i**2 + 277*i.\nAnswer: -2865*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + (-18)\/(-4). Let t be (-33)\/18 + (-2 - -1). Let d = t + 7\/3. Which is the nearest to d? (a) -2 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z**2. Let t(c) be the first derivative of c**6\/180 - 5*c**3\/3 - 2. Let i(b) be the third derivative of t(b). Determine u(i(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.407, -1\/4, 2\/3, -5, -23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8657.26 meters in kilometers?\nAnswer: 8.65726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6475 (base 14) in base 2?\nAnswer: -100001111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.21 - 2.31. Suppose -2*a - 2*a + 40 = 0. Let p be a*(-4)\/(-64)*1. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s**2 - 29. Let y(u) = -8*u**2 - 10. Let a(m) = -6*o(m) + 17*y(m). Let q(f) = 18*f - 1 - 18*f - f**2. Calculate a(i) + 4*q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/((-7)\/(-644)*92).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1752, -1618, -1468, -1296, -1096, -862, -588, -268?\n\"Answer: u**3 + 2*u**2 + 121*u - 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + (-1 - (1 + 6) - (-183 + 175)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -32*w + 31*w + 3*h, 3*w - 8*h = 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1301.3, 10, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 5. Let c be y(-21). Suppose -c*r - 5*n + 1205 = -11*r, 3*r - 731 = n. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 9*d + 3. Let r be h(-7). Let v = r - 103. Suppose 4*q + 2*g = 2*q + v, 5*g = -2*q + 95. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 4. Suppose 3*d + 8 - 2 = 0. Let q be b(d). Let w(p) = -4*p. Give w(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, 1.4, -1\/1912, -2\/9, -0.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:47 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let i be 0 - -1 - ((-159)\/51 - -4). Let q = -13\/34 - i. Is q > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 + 3 = 0. Suppose 0*a + 3*a + 45 = 4*b, -3*a - 9 = 0. Let f = b - o. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(1\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 53*l**2 + 2*l + 4. Let o be j(-2). Suppose 4*m = -0*m + o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 30 = -7*r, -93 = -3*r - q - 83 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - 124. Calculate the common denominator of 148\/(-10) - (11 - 15) and j\/(-3)*72\/(-64).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 17 + 9)*(2*z**2 + 6*z - 6*z)*(-z + z - 2*z).\nAnswer: 148*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 216\/4473655?\nAnswer: 216\/4473655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**2 - 4*f - f**3 - 4*f**4 + 5*f**3 + 22*f**2.\nAnswer: -4*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/13*(28\/12)\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 2. Let r(w) = -31*w + 9. Determine -4*i(u) + r(u).\nAnswer: -39*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = -o, 0 = 4*x - 5*o - 166. Let s = -35 + x. Suppose s*v - 75 - 77 = -5*m, 5*v - 181 = -4*m. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126871 and 2023.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 9 = y, -624*q + 2 = -623*q + 2*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -0.33. Let o = -299.1 + 297. What is the second biggest value in h, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 14*z + 360 = 0. Let w be (-70)\/(-504) + 1\/z. Suppose 2*y = -5*u - 0*y - 9, -3*u + 3*y = 18. Which is the closest to w? (a) 1\/9 (b) u (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5376*b**2 + 11264*b + 2816. Let j(z) = -2*z**2 + 4*z + 1. Calculate -16896*j(g) + 6*l(g).\nAnswer: 1536*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -3468\/683?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7 = 3*d - 104, 21*d = 2*f + 74 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 plus -4?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/6))**(-6)\/(q**(2\/9)\/q*q**(-3\/5)) assuming q is positive.\nAnswer: q**(-163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/749? (a) 5 (b) -2\/15 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (74\/185)\/((-1)\/(-175)). What is the third derivative of -o - 2*i**2 - 29*i**3 + 36 + 34 - 3*i wrt i?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268265443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -1 + (-54 + 1 - 2). Find the common denominator of 85\/8 and q\/60 + 20\/(-25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.068 + 0.552. Let x = 0.64 + -0.14. Let l = x - i. Round l to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 = 2*a, 2*a + 3*k = -3*a + 4. Solve a*g - 4*g - 12 = -3*u, -3*g - 5 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964780969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74374.\nAnswer: 2, 41, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + (-1890006)\/(-1). Suppose -2*g + 2*v = -408344 - 851652, 3*v = -3*g + d. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 789 and 0.03?\nAnswer: 23.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 14 = 14*u + m, 0 = 5*m - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 - k**3 - 30*k + 61*k - 31*k.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 9*h**2 - 6*h + 17. Determine t(7).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, -2, 5, 0 in ascending order.\nAnswer: -13, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*h + 10 = 0, -4*n - 6 - 53 = h. Let o be (6\/n)\/((-4)\/80). Suppose -o*v = -10*v + 52. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.3024\nAnswer: 0.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 4548?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w - 270. Let u be r(0). Let y be ((-24)\/10)\/(108\/u). Solve 0 = y*t + 7 + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 26*l**2 - l + 1. Let u(m) = -64*m**2 - 2*m + 60. Let q(p) = -2*g(p) + u(p). Let x(c) = -c**2 + 1. What is q(h) - 58*x(h)?\nAnswer: -58*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 2832830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 3.03. Let s = 1.5 - 1.8. Which is the smallest value? (a) s (b) d (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16967362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1608 divided by -1.\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b2 (base 13) in base 5?\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 15280710*d**2 + 2*d**3 - 15280710*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**5 - 150941*c**2 - 3*c - 35720.\nAnswer: -60*c**3 - 301882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 13*k + 4505. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122689775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 2*k**4 + 0*k**3 + (-2 + 1 - 2)*(-k**4 - k**4 + k**4).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 4 - 4 + (-2*k + 5*k - 4*k)*(0*k - k + 3*k) - 2 + 2 + 5*k**2 - k**2 - 2*k**2 + 7*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 24, 39, 50, 51, 36, -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 9*m**2 - 26*m**2 + 5*m**2 - 35*m + 8*m**2.\nAnswer: 2*m**2 - 35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - -83 - 38) + (0 - 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 5*k**2. Let x(q) = -11*q**2 + 0 - 2*q**3 - 1 + 0. Let b(r) = -5*g(r) - 2*x(r). Suppose -4*h - 26 = -14. Determine b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4 - 184*s**3\/3 - 190*s**2 - 192*s + 77. Factor p(t).\nAnswer: 4*(t - 48)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 461.\nAnswer: -461.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1. Let y(k) = -k**4 - 3*k**3 - 3*k**2 - k + 2. Let c(l) = -2*w(l) - y(l). Solve c(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 29. Suppose -10*r + 1 = -n*r. Which is smaller: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + 1 + sqrt(1900) + sqrt(1900) + 2))**2.\nAnswer: 280*sqrt(19) + 7649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.39 (b) 3 (c) 1.7 (d) -2 (e) 14\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27664663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30231 is divided by 356?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -145?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 2068*t - 2045*t. Let b = 6 - 3. Find the second derivative of t*d**b - 6*d - 4*d**3 - 2*d**3 - 2*d**3 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 6*i - 5. Let v be a(7). Let g be v + -1 + 3 + -4. Which is bigger: g or 2\/87?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -100, -106, -116, -130, -148?\n\"Answer: -2*f**2 - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4322*d**2 + 12572*d**2 + 282*d**2.\nAnswer: 17176*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30776189 - 37.0886?\nAnswer: -30776226.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8046512905?\nAnswer: 5, 9587, 167863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t + 4. Suppose -2*l - 5*q - 7 = -3*l, -3*q = -2*l + 14. Let o(m) = 3*m + 2. Give l*o(c) - 3*x(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20104, 40112, 60030, 79864, 99620, 119304, 138922?\n\"Answer: g**3 - 51*g**2 + 20154*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*n - 207*n = 3*m - 15, 4*m + 3*n = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 123 = -13. Let u = -23 + v. Calculate the smallest common multiple of 7 and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7696 and 165448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - ((1 - 7) + -18))\/4. Let x(o) be the second derivative of 3*o**3 + 0 - q*o**2 + 5*o. Differentiate x(c) with respect to c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 7*g**2 - 2*g + 6. Let o be a(-5). Let w be 4\/(-14) - o\/14. Suppose -3*s - 3*z = 12, -5*z - 8 = 12. Sort -2, s, w.\nAnswer: w, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 - 2*w**2)*(3 + 2*w - 3) + 2 + 2*w - 4 - 30*w**3 + 22*w**3.\nAnswer: -12*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 788 = 18*v - 12*v. Solve -197 + v = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 48 - 21 - 3*x. Let v be f(0). Is v\/2 + 2\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d. Let k(o) = -2*o. Let a(n) = n. Suppose -3*w + 2 = 11. Let g(y) = w*a(y) - 2*k(y). Calculate g(m(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404 = 14*l + 55*l - l - 16*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363414 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -3, 16 in descending order.\nAnswer: 16, 9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 437, 1, -368812 in descending order.\nAnswer: 437, 1, -368812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23534795 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*t - 79, g - 53 - 56 = -4*t. Let r be 14\/(-28) + g\/(-2). Let a = r - -61. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4790902 and 4154.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - i**2 + 46 - 2*i**2 - 14 - 7.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. Let i = -1 - -3. What is the third derivative of -4*c**q + c**3 + 3*c**2 + 3*c**i wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1476085, 1476054, 1476023, 1475992, 1475961, 1475930?\nAnswer: 1475899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -25. Suppose -v*d - c + 518 = -3*c, -5*c = -3*d + 378. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13518*l*p**3 - 124*l*p**2 + 277*l + 3285 wrt p.\nAnswer: 40554*l*p**2 - 248*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose 0 = 4*a + a - 5*g, -5*a = -3*g. Let q be (-18)\/24*16\/(-6). Solve -3*l + s + v + 15 = a, 11 = 3*l + q*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18869911 to the nearest integer?\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4227*b**2 - 35805*b + 60. Let g(v) = -1689*v**2 + 14322*v - 25. Let t(r) = 5*d(r) + 12*g(r). Find the second derivative of t(x) wrt x.\nAnswer: 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505395097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2 - 35828*w - 160455698 = 0.\nAnswer: -8957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(320\/(-9573050)) - (-2)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 + 358c9?\nAnswer: 35939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/3 - -2 - 0. Solve -6 = s*k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, f: 5}. What is prob of sequence fk?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxzxrrqmrq. What is prob of sequence xzx?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*t = -6*l + 51, 2*t + 34 = 2*l. Suppose 4*g - l = -5. Let s(q) = 3*q**3 + q**2 + 3*q + 1. Is s(g) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1809867 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.906 - -43. Let w = y - 0.294. What is the closest to w in -1, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 136, -4, -3, -2 in ascending order.\nAnswer: -4, -3, -2, -1, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05173723 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120654*r**2 - 306706*r + 1.\nAnswer: -241308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000057659152 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2 - 516*a + 12719. Determine l(-76).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l + 45 = 0. Let o = -22 - l. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 - 371 = -71*s + 104 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*c - 378*c - 9880 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmv when three letters picked without replacement from {o: 4, v: 5, m: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 47527.869609\nAnswer: -47523.869609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -29. Let q(d) be the third derivative of 4\/9*d**3 + 0*d + 7*d**k + 7\/90*d**6 + 1\/6*d**4 + 0 - 4\/15*d**5. Factor q(l).\nAnswer: 4*(l - 1)**2*(7*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734633 > 3734641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 9. Suppose -54*n + 57*n + 2*w - 7 = 0, 23 = 2*n + 5*w. Determine m(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + 3 + sqrt(175) + (sqrt(175) + 2*sqrt(175) + sqrt(175))*-3 + -1))**2.\nAnswer: -8250*sqrt(7) + 529600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*(-226)\/(-339).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -1*(sqrt(405) + 1*sqrt(405)) + 3*(sqrt(405) + 2) + (sqrt(405)*3*4 - (3 + 2*sqrt(405) + sqrt(405) + sqrt(405))**2) + -5.\nAnswer: -6488 - 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -2.176 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/177 - -194\/3009. Which is the biggest value? (a) 3\/5 (b) t (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*u + 89 - 159 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1292 - -1397. Calculate the lowest common multiple of 357 and a.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2. Let a(l) be the second derivative of -2267*l**3\/3 + l**2\/2 - 118*l. Give a(z(x)).\nAnswer: -9068*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547573051.\nAnswer: 43, 53, 97, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.32461l to millilitres.\nAnswer: 94324.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587218947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10523 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18757167 divided by 69\nAnswer: -271843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, 30.\nAnswer: -4, -1, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -101, -234, -421, -662, -957, -1306?\n\"Answer: -27*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 9*i + 8. Let c be q(8). Let m(n) = c*n - 3*n + 4*n. Let f(z) = -2*z**2. What is m(f(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h - 2781 = -37*h. Let a(w) = -h + 309 + w. Let f(i) be the second derivative of i**3\/3 - 5*i**2 - 4*i. Calculate a(f(y)).\nAnswer: 2*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*s + 427*s + 2*c + 4248, 4*c = s + 9 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-20)*-12)\/((-9)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11720 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 10. Let m = 3 + x. Let u(q) = -3*q**3 + 2*q**2 - q - 1. Is u(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 6*c**2 + c - 3. Let r be p(6). Let b(y) = -2 + 3*y - r + 1 - 1. Determine b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*m - 187*m + 0*m**5 + 4*m**5 wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 8:13 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -da - 15f8?\nAnswer: -16d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6626.253mg in micrograms?\nAnswer: 6626253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 2. Suppose 2*p - 6*p = -d. What is the third derivative of -3 + 2 + 1 - 2*x**2 + x**p wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l, -1723 = -5*k + 3*l + 729. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -809 - -802. List the prime factors of ((-98)\/(-21))\/h*-300.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 4 + 0*j + 3 + 4*j. What is v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + l**2 - l + 1. Let i be y(1). Suppose -5*p + 22 = -3*p. Let q = 5 - p. Put -3, q, i in descending order.\nAnswer: i, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(-2*z + 5*z - 4*z) + 0*z - 2*z + 0*z to the form q*z + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkezz. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5 + 4564*d**4 + 9092*d**3 - 22804*d**2 - 27336*d = 0.\nAnswer: -1139, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3646*v - 234809 + 113384 - 371606 = 64807 for v.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75040 is divided by 37360.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:05 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10323114 and -29\/77423355.\nAnswer: 154846710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98735013 and 15.\nAnswer: 493675065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 5*m + 2. Let o be q(-3). Let d be (4\/(-40))\/((-76)\/(-285)) - 70\/(-16). Put d, o, -1 in decreasing order.\nAnswer: d, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b**2 + 2*b**3 - 3*b**2)*(4 + 4 - 4).\nAnswer: 8*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 4*y, -2*y = 5*p - 0*y - 14. Suppose 17 = -3*a + p. Let v = 18 + a. Solve 0 = -7*d + 2*d - z - v, -5*d - 4*z = 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -53. Which is bigger: 9\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23766 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*f**3 + 10808139*f**2 + 43232124*f + 43231980.\nAnswer: 3*(f + 2)**2*(12*f + 3602665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 46*q**2 + 1005*q - 185. What are the prime factors of l(-65)?\nAnswer: 5, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v - 29*v + 92*v - 17*v + 62*v + 26*v.\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 2 - 3*c - 11*c**2 + 8*c**2.\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*m = m - 29, v = -2*m - 2. Which is the nearest to -1? (a) v (b) -8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 8:48 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -3. Let t = -23\/40 - -19\/8. Is t less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99601 is divided by 24711?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 9*f**2 + 7*f. Let b(c) = -4*c**2 - 3*c. Let u(x) = 15*x - 265. Let n be u(18). What is n*b(y) + 2*o(y)?\nAnswer: 2*y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2923501 divided by 7.\nAnswer: 417643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.17 and 310.533452033.\nAnswer: 310.703452033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqlqwwqq. 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 o be (5\/10)\/(2\/8). Suppose 11*p = 95 - 73. Let z(k) = 688*k**2 - 345*k**p - 344*k**2. Let j(a) = 3*a**2. Determine o*j(t) + 7*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6648981, 6648987, 6648997, 6649011?\n\"Answer: 2*p**2 + 6648979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/78 and -24\/689?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323*-124.\nAnswer: -40052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084063412 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1401368)\/826*(-14)\/4?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19504)\/460 - (-4)\/10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154244442 + -4?\nAnswer: -154244450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -62?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let l(w) be the second derivative of -7*w**4\/12 + w**3\/3 + 3*w**2\/2 + w. Let p(d) be the first derivative of l(d). Give -p(s) + 12*t(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -57*w - 17. Suppose -4*t - 34 = 3*q, 3*q = -3*t - 22 - 11. Is f(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/2585 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 11155 = -2*s - 2293, 3*q = -s + 4461. Calculate the remainder when s is divided by 139.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11805 + -11805.3. Which is the closest to -1\/2? (a) s (b) -4 (c) -7\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*5*(-36)\/(-30). Let l = -13 - r. Let m = -4 - l. Solve 4*h + m = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28675 is divided by 3073?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*2\/14 - 19372\/203. Let c = 26 - u. Suppose -2*t - 174 - 296 = -4*a, a - c = 4*t. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70153.65 litres in millilitres?\nAnswer: 70153650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2 - (-2 - -2). Let z(n) = n**2. Let q be z(u). What is the remainder when 41 is divided by (4 + -25)\/((-6)\/q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 78.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 45. Let t be q(10). Let r be ((12\/t)\/(-4))\/(15\/(-50)). Let w be (1*-1)\/(0 - -2). What is the nearest to r in 0.1, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.3 and 2057.\nAnswer: 72612.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*p + 2*o - 27, -244*o = -3*p - 202*o + 1773 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 666157 - 8148157 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 5. Let i = 0 - -3. Suppose -4*c + 5*g = -23, 0 = -9*c + 4*c + i*g + 19. Suppose 10 = 3*r - k + 2, -r + c*k = 4. Calculate b(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*d - 7 = d, -b = d + 4. List the prime factors of 196\/16 + b\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*22.369\nAnswer: 51.4487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 4*m**2 + 13 - 2*m**2.\nAnswer: -m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91, -143, -307, -643, -1211?\n\"Answer: -10*v**3 + 4*v**2 + 6*v - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 350 or 868?\nAnswer: 868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2516 = -2*s, -5*s + 3*s + 3*d = -2501. Suppose 5*u - b = s, -3*b = 5*u - 923 - 332. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241888, 2483944, 3726000, 4968056, 6210112, 7452168?\nAnswer: 8694224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 - 2*p**2 + 0*p**2 + (-2*p - 6*p + 0*p)*(-2 - 1 + 1)*(-p - 3*p + 3*p) as b + c*p + u*p**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(144) - (sqrt(144) - sqrt(144)*-3 - sqrt(144)))*6 + -3*(sqrt(7) - (sqrt(63)\/sqrt(9) + sqrt(7) + -2)) + 4 + -4)**2.\nAnswer: -30*sqrt(7) + 319\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -1\/5, 12, 1, -4\/113.\nAnswer: -1\/5, -4\/113, -0.01, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**3\/3 + 3*p**2\/2 + 3*p. Suppose -m + 5*l - 772 + 769 = 0, 44 = -5*m - 4*l. Calculate i(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348672018 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + (-156)\/9. Let p = -12 - s. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b**(10\/9))\/(b**33)**(2\/7) assuming b is positive.\nAnswer: b**(-272\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/16, 2\/9, -30.7, 2\/5, -5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 148961036386 and -1.7.\nAnswer: 148961036384.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*p + 7*p + 20 = 0, 3*w = -2*p - 25. Let t = 17\/465 - -3\/31. Sort t, w, -1 in descending order.\nAnswer: t, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-93)\/(-2) + 1\/(-2). Let k = o - 27. What is the remainder when 36 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/2)\/(-1))\/((-8404)\/23111)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -33*v**2\/2 - 3. Let h be f(-2). What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(14\/70 - 54\/70)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-472 - 610 + 385)*((2*x - 1 + 1)*(5 - 2 - 2) + x + 9 - 9 + x + 2*x - 2*x) + (0 + 0 - x)*(-6 - 2 + 1).\nAnswer: -2781*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**2 + a - 2. Give i(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5 - 1. Suppose u*a - 18 = a. Let x(h) = h**2 + 46*h - 88. Let c be x(-48). Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002339 rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3) - (-12)\/3. Suppose 0 = 2*k + 4*t + 10408, -12077 = z*k + 3*t + 3529. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 16312838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004798 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -592 - -595. Let h(t) be the third derivative of -3\/260*t**6 + 0 + 8\/195*t**5 + 6*t**2 + 0*t - 5\/156*t**4 - 2\/39*t**n. Find u such that h(u) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**3 - j**2 - j + 1. Let f be t(1). Calculate the remainder when 25 is divided by (35\/10)\/(3\/f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -99329*r**2. Let h(d) = 2*d. Determine h(n(k)).\nAnswer: -198658*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-7)*o)\/o*o*o**7)\/(o**(2\/13)\/o*(o\/o**(-5\/3))\/o) assuming o is positive.\nAnswer: o**(46\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 61 - 53 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42656 (base 7) in base 5?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeyywev. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaqa when four letters picked without replacement from {h: 2, a: 2, q: 9}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 16*x + 20. Suppose 304 = 2*o - 4*j, 3*o + 0*o - 3*j = 444. Suppose 14*q + o = 5*q. List the prime factors of m(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15f1bb (base 16) to base 13\nAnswer: -3b4791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*p + h - 1346*p**2 + 28 with respect to p.\nAnswer: 2*h - 2692*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Suppose -f - 7 = -4*r. Let t be 3 + 27\/(-12) + (-26)\/(-8). Solve 0 = j + t*n - 3*n + 7, 0 = -r*j + n + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*u + n, 4*n - 20 = -2*u - 3*u. Suppose -j = -9 - u. Suppose q + 2*b = -0*q + 40, b = -4. Calculate the remainder when q is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 1, i: 1, z: 1, o: 3}. Give prob of sequence ize.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -28365?\nAnswer: -170190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2194 divide 70148060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 81*h. Let a(l) = -l. Give v(a(j)).\nAnswer: -81*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1 (c) -0.02 (d) 179 (e) 515\/4 (f) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + s = -2*p - 16, 0 = 5*s - p + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/(-39))\/(-11)*-1*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7349.906l in millilitres?\nAnswer: 7349906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-1 + (-6)\/(-2)). Suppose -4*z + a = -3*z. Suppose -t - 3*h - 5 = 0, 0 = -5*t - 5*h + 15 + 10. What is the smallest common multiple of z and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -25. Let j = i + -13. What is the units digit of (-2)\/((-3)\/j + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Solve 1 = -n - c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66131 bigger than 66172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2 - 0. Let b be 27\/12*(a + -3). Is 2 + -4 - 1*b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -155*s + 5\/9*s**6 - 68\/9*s**4 - 31\/6*s**5 + 0*s**2 - 28\/9*s**3 + 1. Determine h, given that f(h) = 0.\nAnswer: -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -x - 2*q, -2*x - x + 5*q + 15 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 8, -1, -2\/37 in ascending order.\nAnswer: -1, -0.1, -2\/37, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*g = 0, -5*j - g + 3*g = -24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15231 + 4*t - 3*t + 15219)*(-t**2 - 2*t**2 + 2*t**2)*(-2*t + 1 - 1).\nAnswer: 2*t**4 - 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-127)\/(889\/(-280))*(-2)\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5158565223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806308?\nAnswer: 2, 201577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240.13212 months to centuries.\nAnswer: 0.2001101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -711 (b) 201 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 18 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 82747852?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 - -325. Calculate the remainder when 230 is divided by v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 1272*r - 1277*r - 5, 5*r + 4*l + 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020393689 rounded to 5 decimal places?\nAnswer: -0.02039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -99\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 165\nAnswer: -8\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 4. Let x(j) = j - 2. Let s(v) = -2*l(v) - 5*x(v). Let a(i) = -i**2 - 2*i + 3. Let c be a(2). Let p(q) = 3 - 2 - 4*q + 3*q. Give c*p(g) + 2*s(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2497, 7729, 15751, 26563, 40165, 56557, 75739?\n\"Answer: 1395*i**2 + 1047*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020201110111 (base 3) in base 15?\nAnswer: 2e90ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m**(-1\/3))*m**(-1\/2))**46 assuming m is positive.\nAnswer: m**(253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiocobociwjiiwoibijj. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84882 divided by 903?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7579208 divided by -754?\nAnswer: -10052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-3*3\/(-9). Let o be ((-3)\/(-6) + f)*-2. What is the units digit of o\/2*(-8)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/(-10) - 4\/(-10). Let n(v) = v**3 - v**2 - 2*v + 5. Let q be n(0). Let m be (-5)\/q - (-6)\/3. Put 2, m, p in increasing order.\nAnswer: p, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -27486.919.\nAnswer: -27483.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15606612 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: How many minutes are there between 1:59 AM and 7:20 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 39*j**2 + 4*j - 4*j + 36*j**2. Let h(q) = 5912 - 5912 - q**2 + 0*q**2. Determine n(h(i)).\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*h**3 + 20*h + 4*h - 2*h**2 - 26*h - 2 + 3*h**2 to g*h**2 + o*h + q + r*h**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -2 (c) -0.4 (d) -5\/4 (e) 22 (f) 117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3 + 2*x + (2*x - 4*x - x)*(1 + 0 - 2))*(-2880 + 2880 - 817*x) as v*x**2 + k + z*x and give v.\nAnswer: -4085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7923342 is divided by 8953?\nAnswer: 8890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 + n**5\/60 - n**4\/24 + n**3\/6 + 211*n**2 - 2. Let w(o) = -8*o**3 - 4*o**2 + o - 4. Give 4*k(m) + w(m).\nAnswer: -4*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6755 divided by -5\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -5 (b) -14 (c) 2\/21 (d) 0.3 (e) -324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/13 - 57608*c**2\/13 + 1672438*c\/13 + 3575292\/13 = 0?\nAnswer: -28833, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**3 - 406*u**2 + 596*u + 400 = 0.\nAnswer: -1\/2, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 10388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 751, 1068, 1401, 1750, 2115?\nAnswer: 2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dywh when four letters picked without replacement from {d: 2, w: 1, b: 1, y: 3, h: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-66 + 40) - 53?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 706*u**3 - 195*u**2 - 735418*u?\nAnswer: 4236*u - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 254\/5 + 9\/45. Suppose p = h + 2*h. Suppose h = 5*i - 8. Solve 13 = -2*y + 3*u, 3*u - 25 = -i*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**6 + y**5 + y**2 - 1. Let u(c) = -20*c**6 + 28*c**5 + 12*c**2 - 28. Let w(z) = 56*r(z) - 2*u(z). Find the third derivative of w(h) wrt h.\nAnswer: -1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Let y(v) = v. Let s be y(f). Find the common denominator of ((-50)\/16)\/(s\/(-16)) and -3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 14 + 12 - 2 = 2*x - 3 - 6, 70 = 5*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -447.9+-0.5\nAnswer: -448.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqed. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13072)\/(-80) - 5) + (-2 - 8\/(-5)). What is the greatest common divisor of k and 7979?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 1 - 1 + 2 to q*m + b and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*-1)\/(sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z + 4*z. Suppose -6*r + 9*r + z*v - 18 = 0, -v - 5 = -4*r. What is the greatest common factor of r and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 12*a + 13. Let f be z(11). Let d = -772 + 778. Solve -d = -f*j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 6*i. Suppose -4*q + i*q + 66 = 0. Let s = q - 0. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9994855?\nAnswer: 5, 13, 19, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13427 + -0.134234016. What is b rounded to 7 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -14*i**2. Let a(m) be the second derivative of -m**7\/1260 + m**4\/4 + m**3\/2 - 58*m. Let h(v) be the third derivative of a(v). Give g(h(t)).\nAnswer: -56*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*c**4 - 3*c**2 + 579 with respect to c.\nAnswer: -88*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -985616\/7 greater than -140802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5049044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -8*n**2 + 10846*n - 18956 = 0.\nAnswer: 7\/4, 1354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*p**2 + 84624*p - 84624*p.\nAnswer: -340*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) -4 (c) 3 (d) 0.184 (e) -0.2054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 242*s**3 - 4*s**2 + 233*s**3 - 152*s**3 - 299*s**3.\nAnswer: 24*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 410 = -4*r, -4*v = -r - 2*v + 110. Calculate the remainder when r is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*49*((-28)\/4)\/14?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = -2. Let v be 3\/k + (2 - -3). What is the derivative of 21*y**v - 4*y**4 - 21*y**2 + 4 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5800392180294 - -5305601326139063500\/914697. Let a = b + -3\/14519. What is the common denominator of a and 58\/81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -318, -915, -1512, -2109?\n\"Answer: -597*b + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 18\/51 - (-3882249)\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*(-8)\/((-112)\/245). Suppose 4*x - d = -5*p + 269, -304 = -3*p + 2*x. Which is smaller: p or 103?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 52 = -5*i + 1, 3*i = -6*l - 21 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n + 3\/4*n**4 + 126*n**2 - 64*n**3 + 24. Factor u(d).\nAnswer: 3*(d - 42)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o. Let x(h) be the first derivative of 1 - 2\/3*h + o*h**2 + 2\/9*h**3. Factor x(r).\nAnswer: 2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 2, -1\/1316?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -899.\nAnswer: -3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 882 = -6*m. Let r = m + 343. Is r a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, -2\/5, -572, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969190, 969168, 969142, 969112, 969078, 969040, 968998?\nAnswer: 968952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 4 - 1)*(-11*f - 2*f + 0*f)*(-8 - 3 + 4 + (1 + 4 - 3)*(0 + 2 - 3)).\nAnswer: 117*f**2 + 117*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d + s + 38, -2*d + 5*s + 37 = 0. What is the remainder when 373 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 2. Let f be k(-5). Let u = 3 + f. Suppose 0 = 4*r - 8, -5*j = 2*r - u*r - 64. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 500?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/32979 and 65\/1272?\nAnswer: 13983096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46643148 rounded to 3 decimal places?\nAnswer: 1.466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(208))*-1)**2 + 5.\nAnswer: 128*sqrt(13) + 3349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 180, 399, 704?\n\"Answer: 43*b**2 + 4*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7722 divided by -594.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 204?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 368 + 88. What is the smallest common multiple of 2 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 - (-4 + 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 10*j**2 + 126*j + 497. What is p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*p + 31 = 4*i, 2*p + 10 = 0. Suppose 0 = -8*w + 11*w + 2*u - i, -3*w = -2*u - 31. What is the smallest common multiple of w and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 140*n + 142*n - 277*n. Let a(w) = 28*w. What is h(a(d))?\nAnswer: 140*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*1\/7)\/(((-18)\/(-210))\/((-216)\/(-120))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 75. Let g(a) = -2 + 0*a**2 + a + 37*a**3 + 2*a**2 - z*a**3. Let c be g(1). Sort 4, c, 9 in decreasing order.\nAnswer: 9, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354138226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -38 + 6. Let c be -15*1\/(6\/q). Suppose 0 = -j + c. Calculate the greatest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 37 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-1105)\/85)\/(-13))\/((-5)\/(45\/114))\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-3)\/(-9)*(-1)\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172491 divided by -33?\nAnswer: -5227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23780 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/126 and 107\/8260.\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18110*c - 18132*c - 2 + 54311*c - 18147*c.\nAnswer: -78*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009711 rounded to 5 decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4 - 0. Let y = v + -3. Let j be y\/(-9)*(-2)\/8. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(20\/3)*b**5)\/((b\/b**(-14\/5)*b*b)\/b**(-6)) assuming b is positive.\nAnswer: b**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26844*m**3 - 24583.\nAnswer: -80532*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*i**3 - 1216*i**2 - 1211*i**2 + 2427*i**2.\nAnswer: -75*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -34*2\/32. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -339, -732, -1171, -1656, -2187?\n\"Answer: -23*p**2 - 324*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/4)\/(6 - (-93)\/(-16)). Let f(c) = -453*c + 1. Let k be f(-1). Calculate the common denominator of k\/r + (-3)\/(-9) and -7\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:33 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -21, -20, -19, -18?\n\"Answer: j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*o - 210 = 0, q + 5*o - 108 + 38 = 0. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 98. Let h = 1 + l. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297 - 252. What is the least common multiple of 50 and v?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4008849*o - 56949417 wrt o.\nAnswer: -4008849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 13. Let k be i(6). Is k\/(-3)*(3 + 15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/6)*h)\/h)**(-2\/131)*h**(-5)\/h*(h*h*h\/(h*h**(1\/3)*h)*h*h*h)\/h*h assuming h is positive.\nAnswer: h**(-916\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 5*i = 2*m - 1, -m + 3*i + 4 = 0. Let k be 168\/24 - (m - -8). Put k, 3, 2, 14 in ascending order.\nAnswer: k, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from fkjalww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2 = -3*x, -2*o - 3*x - 178 + 164 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3215 and 995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j. Let p(x) = x**2 - x + 8. Suppose -5*v = -10*v. Let r be p(v). Let y be ((-10)\/6)\/(9\/27). Let f(c) = 3*c. Calculate r*f(w) + y*q(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 735870447 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, 3\/2, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155780, -155734, -155648, -155516, -155332?\nAnswer: -155090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(240)\/(-1*sqrt(8)) + (sqrt(360)\/(sqrt(12)*-1) - sqrt(30)))\/(3*(-1*sqrt(42))\/sqrt(7)*-3).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(22\/55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141932 divided by -743?\nAnswer: -141932\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3340, 287, 6 in ascending order.\nAnswer: -3340, 6, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*(4\/3)\/((-91)\/117). Calculate the highest common factor of p and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 9439*g**3 + 3*g**2 + 9425*g**3 + 2*g - 2 as b + t*g + w*g**3 + k*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 4 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*n + 34 - 7, t - 14 = 4*n. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 6*d**2 + 10*d - 1. Let p be q(-7). Suppose -2*c = -92 - 32. Let m = c + p. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 + -b41?\nAnswer: -b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 294 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + 18*m + 11. Determine k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 1. Let v(w) = -3*w**3 - 7*w**2 - 2*w + 13. Suppose q = -5*g + 19, -2*g + 3 = -5. Let n(f) = q*v(f) - 4*y(f). List the prime factors of n(6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458722209 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -9*b + 113 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 112475 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 50 = 18*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121238 is divided by 115?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 96 = -6*q. Suppose 0 = -25*i + q*i - 235. Let f = 414 + i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8942836*d**3 - 4391715 wrt d.\nAnswer: 26828508*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752165.7 grams to micrograms.\nAnswer: 752165700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4785 + -3300. List the prime factors of z.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 279 - 279 + 104*v**3 - 2*v + 724*v**2 - 101*v**3 + 960*v**2 in the form m + f*v**3 + b*v**2 + a*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 502 = -9*t + 4*t. Calculate the remainder when t is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/12)\/((4\/(-14))\/(52\/(-91))). Find q, given that 0 + 1\/3*q**3 + 0*q + o*q**4 + 0*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12473.505 to the nearest 10.\nAnswer: 12470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33914 and 0.5?\nAnswer: 33913.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 55*n**2 + 1881*n + 359. What is x(-34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*q**5 + 698*q**4 - 2*q**2 + 19105424*q - 1 wrt q?\nAnswer: 680*q**3 + 8376*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 480*d**2 - 33298*d - 620940.\nAnswer: -2*(d + 30)*(d + 79)*(d + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 19 - (-1 - 2)) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 79908 in decreasing order.\nAnswer: 79908, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*u + 90, d = -0*d + 5*u + 14. Suppose -7*f = -3*f + 12. Let s be f\/(-6) + 14\/4. Sort s, d, 3 in descending order.\nAnswer: d, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 157 = -6*k. List the prime factors of k.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g**2 - 4\/3*g**3 + 4\/3*g + 2\/3*g**4 - 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 391 and 5507603?\nAnswer: 93629251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (59 - -25 - 36).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 v when four letters picked without replacement from avvavaaaaaaa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2221*u**2\/2 + 1254. Let z(w) = w**2. What is z(y(v))?\nAnswer: 4932841*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 - -143. Solve 0 = -2*m + k - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -626\/2499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 5)\/(18 - 65\/((-14105)\/(-3808)))?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22462207.\nAnswer: 83, 277, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 5*h**4 - h**4)*(-2*h + h + 8*h + (0*h + 4*h + 5*h)*(9 + 3 - 2)) - 2*h**3 + 2*h**3 - 2*h**5.\nAnswer: 192*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**2*m*t**2 - 24*a**2*m + 237*a**2*t**2*u + 9*a*m*t*u + a*m*t wrt t.\nAnswer: -20*a**2*m + 474*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87913479 to the power of 1\/2, to the nearest integer?\nAnswer: 9376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from {s: 5, r: 13}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 55 = -5*t, t + 3*t - 44 = -3*q. Let j(x) = -x + 14. Let w be j(t). What is the second derivative of -a**w - 3*a**3 + 3*a + a**3 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45010665*g**4 + 2*g**3*s**2 - 4255*g*s**2 + 2855*g*s - 2*s - 1 wrt g.\nAnswer: 540127980*g**2 + 12*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.835897 rounded to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, n: 11}. Give prob of picking 3 n.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbssh. Give prob of picking 1 h, 1 m, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.14789 litres to millilitres.\nAnswer: 44147.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1608 = -11*d. Let j = d + 136. Let g(y) = 2*y**2 + y - 1. Let l be g(-2). Solve 0 = l*n - j + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63401689*m**2 - 659257652*m.\nAnswer: -126803378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/2486 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6) + -2 - sqrt(117)*2) + -5 + -1 + sqrt(325) + sqrt(325) + 2 + 2*sqrt(13).\nAnswer: -6 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**3*v + 443*q**3*z**2 + 17*q**2*v*z**2 + q**2*v - 3*q**2*z - 28*v*z**2 + z**2 - 2*z wrt q.\nAnswer: -60*v + 2658*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862031.\nAnswer: 862031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 3 - 27. Suppose -d*n + 23 = 2*u, u - 13 = -n - 4. Solve p + 14 = -n*q, 12 + 1 = -3*q + 4*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/105*-14*(-45)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136550 - 136548. Suppose 1\/2*x**4 + k + 1\/2*x**5 + 2*x - 5\/2*x**2 - 5\/2*x**3 = 0. What is x?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36c54d (base 14) to base 2\nAnswer: 111001010011110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.8260229, -1\/10 in descending order.\nAnswer: 0.8260229, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/8 - 3*h**3\/2 - 11*h**2. Let a be u(4). Suppose 2*t - z = t + a, -2*t - z = -6. Solve f = -t*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 2\/9 (b) -2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443072 is divided by 63283?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or 195?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 40 = 3*u. What is the least common multiple of 20 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1224*(-102)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -3\/2*y**2 - 4\/3*y**3 - 5*y + 3 + 1\/4*y**4. What is c(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 + -224. Let h = v + 164. Suppose 3*y + 4*q - h = 0, -y + 3*y + 2*q - 40 = 0. What is the remainder when 48 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeteektteekoek. Give prob of picking 1 k and 1 t.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3*z**4\/4 + z**3\/3 - 3*z**2\/2 - z - 3. What are the prime factors of t(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(-5))*g**(-2\/19)*g*(g\/(g*g**(-6)))\/((g\/g**4)\/g) assuming g is positive.\nAnswer: g**(112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {k: 1, b: 8, i: 10}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -1549*f**5\/10 - 2831*f**4\/12 - 2*f**2 - 3462. Find the second derivative of n(l) wrt l.\nAnswer: -18588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-48))\/((15\/5)\/(-12))*(-48)\/12456.\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 + 36914*u**4 - 101*u**3 - 66584*u + 355.\nAnswer: -20*u**3 + 442968*u**2 - 606*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 = -71982*p + 71977*p - j, 0 = -10*p - 5*j - 900 for p.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -216*s + 9. Suppose 10 = 3*q - q. Let a(p) = -108*p + 5. Let d(h) = q*a(h) - 2*j(h). Is d(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 6*w + 5 - 2 - w**2. Suppose 3*t - 2*t - 5 = 0. Calculate the remainder when u(t) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {i: 1, f: 1, u: 1, n: 2, v: 2, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1431 - -1213. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.0274681 to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 812 and 6552.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -8829.\nAnswer: 2\/8829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-23)\/(-230)*35*1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(125))\/(sqrt(98)*-1) - -1*sqrt(171)\/((sqrt(9) + sqrt(9)*-5)*3 - sqrt(9)).\nAnswer: -48*sqrt(19)\/455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 36*d**2 + 3*d - 1251. What is r(-37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Find the second derivative of -271*z**3 - 8*z**2 + 13*z + 57.\nAnswer: -1626*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c**(-2\/17))**(2\/23)*(((((c**(-2\/5)\/c)\/c)\/c)\/c)**(-1\/3))**5 assuming c is positive.\nAnswer: c**(8488\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imimsimysmmmy. What is prob of picking 3 i?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108482 is divided by 378?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 921036485 and -215636.\nAnswer: 920820849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2150646 and 1.01.\nAnswer: -2150644.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 17. Let y = -8 + r. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b - 137*b = -262*b - 71 - 181 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1173915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 - 0.02?\nAnswer: 542.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from ppppppppppyyppppppp?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 29*v**2 - 11*v + 6. Determine d(-14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2 + 2*s. What are the prime factors of g(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k**2)*(k**3 + 5*k**3 - 4*k**3) + 3 - 1 + 4*k**5 + 2*k**5.\nAnswer: 8*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**6\/15 + 334*d**5\/5 + 61*d**4\/12 + 3733*d. Find the third derivative of m(k) wrt k.\nAnswer: 48*k + 8016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 = 37. Suppose -4*j - r*j = -45. Suppose -14*i + 12*i - 120 = -2*n, -4*n = j*i - 226. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -35. Suppose -2*i - 4 = 2*f - y*f, 4*i = -f + 10. Solve -4*u + 0*u = 0, 0 = -f*g + u - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/18*(-2)\/((-2)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 10*z - 1369612 = -4*g, -2*g + z + 684806 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5*v**3\/3 + 2*v**2 + 2*v - 60. Let k be b(-1). Solve 2 = k*u - n, -n - n = -4*u + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = -447640 - 565376. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -158*m - 8. Let o(l) = 157*l + 7. Determine 5*o(n) + 4*s(n).\nAnswer: 153*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.6417 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*y - 548*y - 4*g + 14 = 0, -6*y + 5*g - 21 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 343\/28)*(-22 - 1350\/(-60)).\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.0689, -3, 1\/9, 3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*f + 14. Solve y = -5*v - f, 0 = 5*v - v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 - (-184)\/(-16))\/((-1)\/18364)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 556150.5us?\nAnswer: 556150500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/2)*p))**(7\/2)*(p*(p\/(p*p*p**(3\/2)\/p))\/p)\/(p\/p**(-2\/3)))\/(p**(3\/10)\/(p\/(p**(-5)\/p))*p**2\/p*(p*p**7*p)\/p) assuming p is positive.\nAnswer: p**(-433\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*1*sqrt(55) - sqrt(55)) + sqrt(55) - sqrt(55)) + sqrt(55))\/sqrt(5).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4623*q. Let m(b) = -38*b**2. Calculate p(m(f)).\nAnswer: 175674*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10871502.5 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(-5 + (sqrt(45)*1)\/sqrt(9) + 4))**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, -176 in increasing order.\nAnswer: -176, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 + 4*z - 9. Let q = -251 - -245. Let i be g(q). Solve -5*s - 3*k = -4*k - 20, 0 = 4*s + 3*k + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -642 - -850. Let x = 23 + 9. Suppose -a - 6 = -x. What is the greatest common factor of a and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-351)\/36 - -2) - (23375\/(-44))\/17\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 43*p = 105 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*v = -176*v + 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25578 - 839566946.\nAnswer: -839541368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 0*z**2 - 6*z**2 - 3*z**2 + 3*z**2 + 2*z**2 + (16*z**2 + 2*z**2 + 16*z**2)*(0 + 2 - 1) - 9*z**2 - 2*z**2 - 6*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1275\/11 + -116. Suppose -z + 1 = -0. Is j at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Let m(o) = -o + 17. Let c be m(12). Let n = c + g. Solve 5*a = 2*b + 11, a + 12 = -n*b - 2*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvh. Give prob of sequence vvh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -262*f**2 + f - 9. Let h(y) = 9*y**2. Calculate x(h(b)).\nAnswer: -21222*b**4 + 9*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*a - 68*a - 2. Let j(i) = i**2 + 10*i - 1. Let y be j(-11). Suppose -x + 0 + y = 0. Calculate the highest common divisor of a and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 + 81*z + 570. Determine t(-14).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - -388?\nAnswer: 389.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2216*v + 4354. Determine a(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 - 11397.96704?\nAnswer: -12222.96704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*m**3 - 31*m**3 + m**3 + 20*m**2 - 3 to the form s + o*m**3 + z*m**2 + q*m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 1ca10?\nAnswer: 1c9d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 1. Suppose -9 - 1 = 5*j - a*z, 0 = -4*j - 4*z + 8. Suppose -k = -j*k + o + 1, 3*o = -2*k. Let y(x) = -x**2 - x + 3. Give y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(64) - sqrt(64) - sqrt(64))*-3)\/(sqrt(162) + sqrt(162)*1)*6*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4*k**2 + 4186*a**4*k + 148*k**2 - 18*k - 2 with respect to a.\nAnswer: -8*a**3*k**2 + 16744*a**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 1 - 7*z - 2*z**2 + 1. Let m be g(-7). What is the third derivative of 2*s**m + 2*s**5 - 2*s**4 + 2*s**4 wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((9\/(-16))\/9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134562 is divided by 5606.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 79753*n + 4*n**2 + 0 - 79753*n - 95*n**3.\nAnswer: -95*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:05 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -9569468?\nAnswer: 4784734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1606240 (base 7) to base 4.\nAnswer: 311320003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 572615 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-12 - (-20 - -7)) - (-1 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 + 0.387. Let r = -0.00713 + x. What is r rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -914*b**3*i + 2*b**3*l**2 + 1081*b**2*i*l**2 + 3750*b**2*l**2 - 3*b*l**2 with respect to i.\nAnswer: -914*b**3 + 1081*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -451, -441, -431, -421?\n\"Answer: 10*w - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12704186057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144055 = -3*i + 8366. Let g = 94807 - i. Round g to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*l - 7*l, 2*w + 12 = 2*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594 by 66.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -14.93. Let m = 0.4584 + -0.1284. Let f = m + j. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12584789599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {e: 7, o: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 1, c: 2, x: 2, v: 1}. Give prob of picking 2 x and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000064328723 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 4, 0, 179 in increasing order.\nAnswer: -5, 0, 4, 13, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u + 1. Let y be o(-9). Suppose 0 = -2*g - j + 21 + y, -5*j - 74 = -3*g. What is the highest common factor of 224 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 36*m - 2279. Calculate the remainder when m is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u + 6*u + 11*u + 36*u**2.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.03 - 7. Let u = x + -2.03. Let r = -1.99985 - u. Round r to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 + 188. Let a be w\/35 - -4 - (-2090)\/14. Suppose 3*m - a = -53. What is the smallest common multiple of m and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8681, 34693, 78047, 138743?\nAnswer: 216781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 873, 666, 347, -72, -579, -1162, -1809?\n\"Answer: 2*j**3 - 68*j**2 - 17*j + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/15 - 1006\/165. Find the common denominator of n and 26\/(-8)*2\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -2\/3, 0, -4\/7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.76 and -0.76538.\nAnswer: -0.5816888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1025500 and 3464725.\nAnswer: 485061500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 5*f + 2*f)*(5*f**2 - 5*f**2 + 5*f**3)*(5*f + 3 - 5*f - 4*f) + 2*f**5 + 2*f**5 - 6*f**5.\nAnswer: -22*f**5 + 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -20. Suppose -2*t = z*q - 6, 4*t - 16 = 2*q - 4. Solve 3*f + 4*k - 15 = 0, t*f + 4*k - 10 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-14))\/(5022\/189 - 26). What is the nearest to 64\/7 in 0, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000 (base 2) to base 11\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78810\/7 - -78812\/7. Factor 0 - 1\/7*n**3 + 3\/7*n - t*n**2.\nAnswer: -n*(n - 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/6 + 5*p**2\/2 - 5*p. Let d = -11 + 7. Calculate w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124451 + 124451 + 209*p**2 - 455*p**2.\nAnswer: -246*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + -12.05. Let o = f + 7.8. Let k = 4.63 + o. Round k to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67987*s + 7 + 4 + 10 - 28.\nAnswer: -67987*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 72. Let h be ((-312)\/572 - (-276)\/22)\/4. Suppose -5*c + 14 = x - 14, x + h*c - r = 0. Solve -5*k + 26 = 4*j - 2, x*j = 4*k - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3807 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 567 (b) -1.02 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-52)*4)\/((-6)\/4). Which is the second biggest value? (a) -14 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(27\/3)*1\/((-6)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1200) + ((sqrt(72)*1)\/sqrt(6) - sqrt(12)))\/(-6*(sqrt(4) + (sqrt(100) - (2*sqrt(100) - sqrt(100))))).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -43, 1\/8, 17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 2, z: 1, o: 1, s: 1, n: 1}. What is prob of picking 1 z, 1 s, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 66*s - 237 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4203 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-171)\/36 + (-1)\/4. Let y(c) = 2*c - 1. Let u(q) = 4*q - 2. Let x(b) = n*y(b) + 3*u(b). What is the units digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29285719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k + 177*k + 59*k + 126*k.\nAnswer: 449*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/7 + 11862*x - 83037\/7 = 0.\nAnswer: -27679, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-952)\/(-56) - (-2)\/((-2)\/(-5)) and 500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zggg when four letters picked without replacement from zgzgggggzgg?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 7. Let v = -6 + n. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -905 + 1293. Does 36 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 0 + 0 + (-4 + 6 - 1)*(2*g**2 - 2*g**2 - g**5) - 11*g + 11*g + 5*g**5.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/12 - 259*a**3 - 603729*a**2\/2 - 156365811*a - 9088. Factor q(n).\nAnswer: -(n + 777)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -437, -1717, -3845, -6815, -10621, -15257, -20717, -26995?\n\"Answer: g**3 - 430*g**2 + 3*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 9*f**2\/2 + f - 1177. Let c(l) = -17*l - 2. Give 6*c(u) + 11*q(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 878684 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-z - z + 3*z) + 2*z - 4*z + 3*z - 205*z - 67*z - 25*z.\nAnswer: -298*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umu when three letters picked without replacement from uum.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.448 and 5537?\nAnswer: 13554.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/2*(-10)\/4. Suppose y = 5*s + 105. Let h = s + 28. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -203*g + 4467. What is p(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let r(n) = 572*n. Calculate u(r(i)).\nAnswer: -572*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - ((5 - -2) + -5)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13))**1\/(q\/q**(-2))**(-1\/2) assuming q is positive.\nAnswer: q**(43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2293228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 + (-1 - 3) - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1162*d**4\/9 + 40678*d**3\/9 - 111832*d**2\/9 + 256*d\/3 = 0. What is d?\nAnswer: 0, 4\/581, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06847 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 14158333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66017467757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 5 - b**2 + 0*b**3 + 1\/4*b**4 + 5*b. What is the units digit of r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(27)*5)\/(-3*sqrt(576)).\nAnswer: -5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((690\/35)\/(-6))\/((-11)\/77).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29114523 to the power of 1\/2, to the nearest integer?\nAnswer: 5396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 1260 = -324. Let y be (t\/(-252))\/((-22)\/(-7)). What is the biggest value in 42, y, 3\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - 8)\/(2\/8). Solve p - 4 = -2*f, y = 6*p - p + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:24 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 59*q - 441. What is t(50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) + 4\/(56\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {v: 3, t: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.055 + -53.055. Let n = -12 + 7. What is the fourth smallest value in -0.5, 4\/3, n, c?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 188.\nAnswer: 127\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 7. Let x = 29 + -16. Suppose x = 5*l - 4*l. What is the remainder when l is divided by z(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 141\/13. What is the nearest to -2\/7 in 1, 3\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26b + 1160?\nAnswer: 13cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 1\/2*w**2 - 1\/4*w**4 + 2*w + 17 - 4\/3*w**3. Let k be ((-3)\/(-4))\/((-2)\/8). Give i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2721*c**4 + 2727*c**4 + 0 + (-2*c**3 - 2*c + 2*c)*(2*c - 2*c + c).\nAnswer: 4*c**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -289 + 296. Suppose -z = 2*w - f - 8, -5*z = -w - 20. Solve 35 = z*d + 5*g, -4*d = -6*d - g + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 70933820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 23. Determine h(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 25.2. Let i = 3\/10 + -1\/70. Sort i, r, -5 in decreasing order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 62*c**2 - 120*c - 89. List the prime factors of v(51).\nAnswer: 2, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let p be r*(0 + (-1)\/(-2)). Suppose 0 = 3*a + p*a - 15. Solve -2*l - 4*m + 9 = -3*l, 0 = a*l + m - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-1 - sqrt(6) - 1*1*sqrt(6))\/(sqrt(363)*-3*2).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rwwrww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) 4\/3 (b) -0.5 (c) -1 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 46, 114, 234, 424?\n\"Answer: 3*l**3 - l**2 + 16*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (8 - 2) + -1 + -2 - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -2903.00649?\nAnswer: -2903.00649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 59*i - 22. Calculate u(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = g - 83 - 15, 0 = -3*l - 4*g + 52. Let m(t) = 1 + 5 - l*t + t**2 + 5*t. Is m(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12236 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/39 + (0 - 2\/(-24))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*g. Solve 0*l = g*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 - 13*b - 7. Let v be z(-6). Let r(y) = -149*y - 10. What are the prime factors of r(v)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8) + -173 + 223.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1575 (b) 3 (c) -8 (d) -0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -f + 20, f - 3*f - 26 = -3*w. Let v(q) = q - 4. Let l be v(w). Suppose -240*z + 239*z = -p + 5, 0 = -3*z + p - 3. Solve -m + z = -l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 13*i**2 + 9*i + 78. Let y be u(14). Solve -y = -3*s - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4854808 and 10752?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/546405 and 45\/7.\nAnswer: 3824835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/280416 and -19\/4.\nAnswer: 280416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - h - 2*h - 217, 4*h = -4*d - 180. Let s be (1 - d)*(-52)\/156. Which is smaller: s or 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -8*z + 9*z + 2*w, -4*z + 4*w = -80. What is the smallest common multiple of 78 and z?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 43*b = 22*b - 88, -14*a - 5*b = -13*a - 22 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let o(u) = u**2 + 65*u + 711. Let x be o(-51). Let g(c) = c + 3. Let n be g(-4). Let t(s) = 4*s - 5. Calculate n*t(k) + x*h(k).\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 23790726\nAnswer: 1\/7930242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.2 (c) 4784 (d) -2\/11 (e) -3.5 (f) -43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, 58, 743, 1428, 2113, 2798?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58e (base 16) in base 3?\nAnswer: 1221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 7 + 13 - 5. Solve 24 = -5*i + 3*z, 5*z - s = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 354548842 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/4 - w**3 + w**2 - 7*w - 1. Is r(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003952768 to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**2 + 7*w + 52. Let v(j) = j**2 + 2*j - 6. What is -t(a) - 4*v(a)?\nAnswer: 3*a**2 - 15*a - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3201184 (base 9) to base 2\nAnswer: -110100010010010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.07 (c) -191 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*t = 3*t - 47, 134 = 5*n - 4*t. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18*t - 5. Let c(m) = -63 - 33 + 110*m - 21*m + 33 + 136*m. What is -5*c(u) + 63*h(u)?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002011011 - -1?\nAnswer: -1002011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*w = -148, -5*m + 52 = 2*w - 115. Solve 0 = -5*n + 5*q - m, -n = -3*n - 3*q + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*k - 13. Suppose -3*g + 9 = -a, 0*g - k*a = -2*g + 16. Let b be 1 + (0 + -1)\/1. Solve g*i = 4*u, i - 2 + b = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21257*u**2*w*z**4 - 21*u**2*w*z + 16*u**2*z - 3*u*z**6 - 9*w*z**2 + z**2 wrt z.\nAnswer: -510168*u**2*w*z - 360*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4448877, 4448856, 4448845, 4448850, 4448877, 4448932?\nAnswer: 4449021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(60)\/sqrt(6)*-4).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(4\/13)))*p)\/(p\/(((p**(3\/4)\/p)\/p)\/p)))\/(p**(-1\/5))**(-2\/9) assuming p is positive.\nAnswer: p**(-2309\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -79.5 (b) -1\/3 (c) -0.1 (d) -3 (e) 2\/3 (f) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 177*g**2 - 1840*g - 15. Determine z(-11).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8853 at least -8847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - z - 2*z**2. Let k(b) = 18*b**2 + 17*b. Let o(q) = 3*q**2 + 3*q. Let p(i) = -6*k(i) + 34*o(i). Calculate p(t(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*a + 30 = 0, -63*m + 3*a = -58*m - 70 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 151*m**2 + 73*m - 144. Calculate z(-75).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (96 - -3 - -3). Suppose 5*h - s = 3*b, -b = 2*h - 7*h + 94. List the prime factors of 752\/h - (-14)\/63.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*t - 11030 = 39669 for t.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Let y = b - 1. What is the second derivative of -3*t**y - t**3 + 0*t + t**3 - t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10280 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-165)*(-37)\/(13690\/(-111))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c - 10 + 9 - 393*c + 128*c + 110*c.\nAnswer: -71*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5) - 0 - 222\/10. Let a = p + 32. Solve u = -4*u - a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 31*u**2 + 102*u - 154. Give v(34).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 0, -428 in decreasing order.\nAnswer: 4, 0, -11, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -154*k**3 - 2*k**2 + 139*k + 140. Calculate p(-1).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -35166531?\nAnswer: -35166513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7687 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 greater than -1\/15288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/6*(5496\/30 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(-3*w**4 + 0*w**4 + 5*w**4)*(-4685 + 12535 + 7479 + 3548 + 7447).\nAnswer: 52648*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9659 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - a - 10. Let f(i) = 34*i**2 + 1446*i - 268092. Let h(w) = -2*f(w) + 36*t(w). Find o such that h(o) = 0.\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbrrnnwrrabwrbwadrd. What is prob of sequence danw?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/10 + 5*d**4\/12 - 2*d**3\/3 - d**2\/2 - 9*d + 1. Determine h(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-6)\/4) + ((-2013560)\/(-10224))\/(235\/(-3)).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26 + 2*2\/(-4). Suppose 3*o - 5*a = 20, 0 = -2*o + a - 0*a + u. Let i be (-2)\/1 - (-32)\/o. Is i < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24542, -24569, -24620, -24707, -24842, -25037, -25304, -25655?\n\"Answer: -2*g**3 - 13*g - 24527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 + 2*v**2. Suppose 6*y - 10*y + 18 = 2*d, y = -5*d + 18. Let g(k) = 0*k**3 + 4*k**2 + 8*k**y + k**2. Give -10*f(u) + 4*g(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 12 = -2*p, 5*p - 8*h - 36 = -4*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*u - 5*u + 3*x, 6*u + 5*x = -14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -4\/9 (c) 52 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)*r)\/r*(r**(3\/7)*r)\/r)**(-34\/7)\/(((r\/r**6)\/(r*r*r**7\/r))\/(r\/((r*r**(-2)\/r)\/r)*(r*r*r\/r**(-5))\/r)) assuming r is positive.\nAnswer: r**(2029\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 7*f**4\/4 - 13*f**3\/3 + 10*f**2 + 7*f - 52. Is n(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*m + 3, 2*i + 37 = 5*m - 0. Let j = i - -6. Suppose -8*n + 67 + 53 = j. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from wwwywywywywy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f + z, -4*f + z - 2*z = 4. Suppose w = f, -7*h - 5*w + 40 = -3*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*n**2 + 0 - 1\/8*n.\nAnswer: n*(n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let t(k) = k**2 + 6*k + 3. Let f be t(-6). Let r(o) be the second derivative of 0 - 2*o + 0*o**2 - 1\/6*o**f. What is r(b(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 23*i + 252 - 252. Let b(a) = a + 1. Let f(l) = -2*l - 3. Let y(u) = 6*b(u) + 2*f(u). Give y(p(d)).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 29) + -50 + (3 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.040562 centuries in decades?\nAnswer: 20.40562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = d + 16, d - 3 = -5*l + 29. Let g = -4 + l. Solve -g = -j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k + 258. Give s(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.666 minus 118193218.1?\nAnswer: -118193215.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = 5*c, -4*c + 25 + 7 = 5*y. Suppose c*p + 300004 = 2*g, 2*p = 3*g + g - 200008. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167993339.\nAnswer: 239, 571, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -4 - (-13 + 6). Let w(z) = -6*z**2 + 18*z + 36 - l*z**3 - 29 + 3*z**3. Let p be w(-8). Which is bigger: p or -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.149 + 0.049. Let i = -0.26 + 2.26. Which is the closest to x? (a) i (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25e085 (base 15) to base 12\nAnswer: 738982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*n = 6, 2*n - 6 = -n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - g + 127, 3*j + 122 = 2*g. Let z = 100 + j. Suppose -2*k + z = 4*q - 6*k, -32 = -2*q - 2*k. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 384 = 7*c - 6*c. Solve 0*g + 1\/2*g**4 + c + 0*g**3 - 4*g**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778732502.\nAnswer: 2, 223, 1746037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*d + 8 - 1, z + 5*d - 16 = 0. Let f be z - (24\/2)\/3. Let h be f\/((-28)\/12) + 8. Solve c + h*u = -c + 12, 6 = 2*c + 2*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160.1 + -152. Let t = 11.1 - o. Sort 5, -5, t, -0.01 in descending order.\nAnswer: 5, t, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (1 - (-3 + 15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0. Let d = 0.4 + -0.1. Let u = 11 - 11.2. Which is the third biggest value? (a) w (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6362.92 + 6707. Let k = 344 - d. Let r = 61\/6 + -19\/2. What is the closest to -1 in k, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9268*k**2*l**3*m + 16*k**2*l**3*w**2 - 2*k**2*l**2*m + 115*k*l**2*m*w**2 + 9*k*l*m*w**2 - 19*l**2*w wrt l.\nAnswer: 55608*k**2*m + 96*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 4*y - 3. Let d(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 3*t**2\/2 + 14*t - 1. Give 5*d(k) + 6*g(k).\nAnswer: -k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3479.1565 + -1045877.\nAnswer: -1042397.8435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, q: 6}. What is prob of picking 4 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 20, 5*g - 2*g - 5*l = 22. Suppose -7*t + 6*t = -8. What is the smallest common multiple of g and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1360 and 2?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 89.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/12)*d**12 assuming d is positive.\nAnswer: d**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 4*j + 200. Let l be (-10)\/(-6)*342\/j. Find the third derivative of -5*h**2 - 21*h**6 + 18*h**l + 15*h**6 - 8*h**2 wrt h.\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1476602.19ns to days.\nAnswer: 0.000000017090303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2097 - 0?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-1)\/(-5))\/(36\/(-90))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**4 - 2*x**3 - 5*x**2 - 2. Let q(g) = -g**4 - g**3 - g**2 - 1. Let l(t) = -5*o(t) + 10*q(t). What is the third derivative of l(k) wrt k?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d)\/d*d)**(-17)\/(d**(-2\/13)\/d*d*(d\/d**(-2\/11))\/d)*d**8*d**2*d*d\/d**(-2\/3)*d**(-2\/13)\/d assuming d is positive.\nAnswer: d**(-123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 1. Let n = 30057 + -30053. Let z(p) = -5*p**3 - 4*p**2 - 2*p + 1. Give n*f(m) - z(m).\nAnswer: m**3 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 0.183945569\nAnswer: -0.00735782276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 22*i**2 + 27*i - 149. Let t be d(23). Let b = t - -62. Solve 4*k = b*h - 24, -1 = -2*k - k - h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 9*j + 13*j + 19 = 0, -l - 5*j - 35 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*t - 1, -12*h + t + 4 = -9*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24866159 * -0.5\nAnswer: -12433079.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0243 in -3, 4084, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Suppose 2*l = 3*p - 2*p - 83, -b*p + 457 = 4*l. Let s = p - -56. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -126, -2 in descending order.\nAnswer: 2, -2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 6. Let y be h(4). Does 11 divide (y - 0)\/(4\/66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5354 and -3?\nAnswer: -1.6062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 158. Let n = 74 - l. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 (base 6) in base 8?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {m: 1, r: 2, y: 8, s: 7, k: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 734687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 10*o - 2. Let c be y(-3). Let g(k) = -4762504*k - 32. Let x be g(c). What is x rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 6*s - 30 + 41 + 9.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206159, 2412319, 3618479, 4824639, 6030799, 7236959?\nAnswer: 8443119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 7 = -4*r, 3*k + 32 = 2*r + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2610699785.\nAnswer: 5, 179, 719, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*o, 7849*o - h - 2 = -7847*o + 15698*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - w**5 + 0*w**5 + (w + 2*w - 5*w)*(w**4 + 4*w**2 - 4*w**2) + (-3*w + 3*w + 3*w**3)*(2*w**2 + 0*w**2 - 4*w**2).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 6\/35 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 + -3.7. Let x = 2.2 - t. Let l = 4 + x. Which is greater: l or 1\/16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/20 - 2)*-4 - 15\/75. Solve p = -a + 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45010446, 180041806, 405094074, 720167250, 1125261334, 1620376326, 2205512226?\n\"Answer: 45010454*x**2 - 2*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 2*n, -3*i + 2*n - 3 = -0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 78900.9ug?\nAnswer: 0.0000789009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*5 + sqrt(68) + 0 + sqrt(17) + sqrt(17) + (5 + (sqrt(17) - (sqrt(17) + sqrt(17)*1)) + sqrt(17) - sqrt(17)))**2.\nAnswer: -170*sqrt(17) + 4938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2208720 divided by -30?\nAnswer: 73624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(13) + 1*sqrt(832))**2 + -2)*2.\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 7*o - 4. Let g be z(-7). Let m = 5 + g. Let t = -3 - -5. Put -4, m, t in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62473.15l to millilitres.\nAnswer: 62473150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/3 + 5\/15. Let k be (-2)\/c + (-30)\/(-24). What are the prime factors of (k - (0 - -4))*-2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36676?\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 29*n**2 - 25*n - 90. Let w be k(28). Let l(t) = 3 - t + 10*t**2 + 6*t + t**3 - 3*t**2. Is l(w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h**2. Let b = 57 + -75. Let i(y) = -3*y**2. Let o(p) = b*i(p) + 4*d(p). Let f(w) = -8*w + 3*w + 2*w - 9*w. Determine f(o(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10574.\nAnswer: 2, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.0725\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, e: 2, s: 2}. Give prob of picking 2 s and 1 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, q: 3, d: 4}. What is prob of sequence ldql?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*u + 323*u - 15316 - 4*u**2 - 646*u.\nAnswer: -4*u**2 - 15316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 31*p - 2. Suppose -3*n + o = -29, -3*o - 51 = -n - 4*n. Suppose i + 2*i = n. Is g(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/(2*(-1)\/(-4)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 22*v**2 - 22*v - 10. Let u = -30 - -13. Let l be k(u). Let p = -446 - l. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 6*m**2 + 3*m - 5. Let y = 10 + -4. Let k be g(y). Let q = -39 - -65. What is the greatest common divisor of k and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -355331433?\nAnswer: -355331421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 20 + 7*i + (2 - 9 + 1)*(-2*i + i + 2*i) to q + w*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -12. Let x = -63819\/5 + 12764. Let r = -3 - -6. What is the third biggest value in x, r, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.58116.\nAnswer: -0.29058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l*r**2 - 9570*l*r + 131*l + 4191*r**2 wrt r.\nAnswer: -18*l + 8382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2039 (c) 3 (d) 0.268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/3 - 58*z**3\/3 - 200*z**2\/3 = 0. What is z?\nAnswer: -25, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + f + 4*f + 2*f - f - 3*f + (3*f - 2*f - 2*f)*(-2 + 2 - 1) - 3*f + 0*f + 5*f - f + 0*f + 3*f in the form a + v*f and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*b + 4*g, -7*b - 2*g + 132 = -3*b. What is the remainder when 61 is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388498?\nAnswer: 2, 11, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 1130*q - 8 = -1131*q, -4*n - 5*q = 32 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Let c(h) = -h**3 + h**2 + h + 1. Let i be c(-1). Let l(p) be the first derivative of 1\/2*p**2 + 6 - 2*p. Give i*l(k) + 3*b(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b**2 - 4*b - 1. Suppose 12 = -4*p, 5*d - d = 4*p + 24. Let v be r(d). Calculate the greatest common divisor of 46 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128160173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*sqrt(12)\/sqrt(4) - (-1*sqrt(108))**2).\nAnswer: -4*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6)*(-54)\/36. Suppose 1 = o*r + s, -5*s = -2*r - 2*s + 13. Let c be 168\/18*r\/21. Are 1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z + 0*z)*(-z**3 + 3*z**3 - 3*z**3) + (2*z**4 + 2 + 2*z**4 - 3*z**4)*(-2 - 1 + 7).\nAnswer: 3*z**4 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051963747 to six decimal places.\nAnswer: 0.005196","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -11*a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 0.3, 0.2, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2 (b) 17\/21 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b)**(2\/41)\/(b**(-3)*b*((b*b**(-6\/11)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z - 2*z + 3*z + (8 - 7 - 5)*(-3*z + 4*z - 2*z))*(1 - 1 + 1).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71)\/(-595) - 315*9\/16065?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -669509 to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3)*434\/4341519*342.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3614680 to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 352 = 9*i - 5*f, -i + 4*f - 106 = 0. Let w = -16 - i. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -375 + 378. Let j(k) = 42*k**2 + 2*k**y - 3*k + 47*k**2 - 88*k**2 - k**3 + 0*k. Determine j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:57 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 14 - 15 - 126*t + 15*t in the form k + b*t and give b.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 525.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-27))\/(5\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/324 and 121\/157480?\nAnswer: 12755880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 725257258 to the power of 1\/2, to the nearest integer?\nAnswer: 26931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -228, -1955, -6734, -16119, -31664, -54923, -87450, -130799?\n\"Answer: -259*l**3 + 28*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + 0.08. Let p be 106\/22 - 6\/(-33). Let k = 3 - p. What is the second biggest value in k, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1414*q - 24 = -1418*q. Calculate the smallest common multiple of 36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7069.8 and 3.\nAnswer: -21209.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = 0. Does 11 divide (-33)\/(-3 - (b - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z - 4 = 5*n + 123*z, 3 = -2*n + z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35370\/4531 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 3, p: 2, g: 2, l: 3, t: 1}. Give prob of sequence phgp.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -54008*y**3 + 1413*y - 1413. Let a(n) = -153*n**3 + 4*n - 4. What is 1413*a(w) - 4*f(w)?\nAnswer: -157*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 4, -3, -0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17396473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - o = -3*r + 10, 2*o = -5*r + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50325?\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 27 - -36) + -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3 + 6)\/6). Let k(s) = -2*s**2 - 2*s**3 + 4*s**3 + 2 + 0. Is 10 a factor of k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16 = 3*f - 2*b, 0 = 4*f - 5*b - 21. Let u be (-5)\/(-2) - (-2)\/f. Suppose u*v - 5*c + 2*c = 12, 0 = -4*v + 3*c + 14. Solve 4*p = v - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -1*(sqrt(99) + (-2*sqrt(99))**2).\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9029692*s**3 - 5*s**2 - 11632?\nAnswer: 54178152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 111111000110 (base 2) to base 9\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 30.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 4) + 5 + (8 - 20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/87470235 and -85\/1164.\nAnswer: 349880940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 524201964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*v - 20, 2*d + 14 - 4 = -2*v. Suppose 4*q = -d - 20, -3*z = -q - 16793. Is 2*z\/(-8)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-4 + 0))\/((-17)\/(-3791)). Let z = s - 441. Solve 0*p - 4*i = p + 1, -3*p = -z*i + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1860 and 139\/744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 6*g**2 + 7*g + 5. Let q be o(-5). Let h = 5 + -9. Is h not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244644 by 494.\nAnswer: -6438\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w - 49. Let v(f) = -3*f + 3. Calculate h(o) - 6*v(o).\nAnswer: 2*o - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 divided by -4?\nAnswer: 159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*h**2 - 346*h**2 + 2058*h**2.\nAnswer: -91*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-715)\/(-40326)*-47*9\/(-345).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -80230695565965?\nAnswer: -80230695565965.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a23 (base 13) to base 4.\nAnswer: 100200231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1292062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -224928, -450864, -676800, -902736, -1128672?\n\"Answer: -225936*x + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(15*5\/15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 1. Suppose -9869*u - 56 = -9883*u. Let q(s) = -14*s - 1. Determine u*r(f) - q(f).\nAnswer: 10*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/5)\/2)\/((-308)\/70)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238867828 and 15112.\nAnswer: 7556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 183521 bigger than 183517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrrrrbb. Give prob of sequence bbbr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + -6*sqrt(36))\/(-1*sqrt(162)) + (sqrt(384) + sqrt(384)*-2)\/((sqrt(108) + sqrt(12))*2))**2.\nAnswer: 625\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28245 and 16140.\nAnswer: 112980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13068 + 13067.9. Put -4, 1, -1, c, -3\/25 in descending order.\nAnswer: 1, c, -3\/25, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -4. Let l be (p\/(-9))\/(8\/(-24)). Suppose -26 - 46 = -l*v. Calculate the greatest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.574486nm to meters.\nAnswer: 0.000000000574486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqf when four letters picked without replacement from ffqffqffffffffffff?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119.635 + 120. Let q = f - -0.135. Let l = 5 - 2.8. Sort 1\/4, q, l in ascending order.\nAnswer: 1\/4, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -58. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d2 (base 14) to base 10.\nAnswer: -968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3\/11 (c) -0.09 (d) 5 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let j(n) = n**3 - n**2 + 275. Let v be j(o). Calculate the highest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79 - -126 - (-3 - -17)) + -1 + -11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4835 and -0.014688849?\nAnswer: 4835.014688849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26219744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 3. Let d be s(0). What is the third derivative of -59*p**5 - 46*p**2 - 3 + d + 65*p**5 wrt p?\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*z**5 - 2\/9*z**3 + 0*z**2 + 0*z**4 + 0 + 0*z.\nAnswer: 2*z**3*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8678 or -8681?\nAnswer: -8681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 65*k + 108 = 0. Solve -2*d = -k*o, 0 = -o + 6*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13) + -5 - sqrt(13))**2*-2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (3 + -2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -690560.17, 6, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.79? (a) -28 (b) -0.2 (c) -2\/3 (d) -0.05 (e) 4 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40439 (base 10) to base 9.\nAnswer: 61422","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-64))\/(17\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i - 34. What is t(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/15 - 184*r**3\/15 + 9842*r**2\/15 - 95576*r\/15 - 7040 = 0.\nAnswer: -132, -1, 16, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -666.62699 plus -0.753893?\nAnswer: -667.380883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056112041.\nAnswer: 3, 43, 31442729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2*s**3\/3 - 1. Let i(j) = -8*j + 6. Let m(n) = -7*n + 5. Let b(l) = -5*i(l) + 6*m(l). Determine b(u(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18249839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 2*f**2 - 2*f - 5. Let w be l(-4). Suppose -7*u = -448 + 56. Suppose -5*y + 56 + w = 5*m, -4*m - u = -y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902736557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(310\/(-4))*50\/(-16)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17388 and 12.\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 - 9*z - 7. Let p(i) = -3*i - 1. Give -14*p(j) + 2*w(j).\nAnswer: 10*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6531 - -3121. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.95 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -48*x - 45. Let s be n(-4). Calculate the highest common divisor of 98 and s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-5 - -7 - -18) - -7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1553 + 15541. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575060 a multiple of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.524 rounded to 0 dps?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 64. Let y(k) = 7*k + 160. Determine 12*o(a) + 5*y(a).\nAnswer: -a + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkekkkkk. What is prob of picking 4 k?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1365216185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 + 17*c**2 + 28*c + 22. Let r(v) = -5*v**3 - 15*v**2 - 28*v - 23. Let p(g) = 3*r(g) + 2*w(g). What are the prime factors of p(-14)?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-1\/4)\/r))**(-29)\/(r**(-1\/5)*r\/(r*r**3\/r)*r))\/((r**(-2\/3)*r)**(-3\/2))**(10\/7) assuming r is positive.\nAnswer: r**(-8867\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let k(f) = -f + 2. Let q be k(-3). Suppose -q*g + 5 = -5*w, -5*g + 5*w + 3 = 2*w. Which is greater: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-71)\/36 + 4\/18. Let r = 7867\/12 + -657. Let p = o - r. Is p less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -3198, -9970, -23164, -44922, -77386?\nAnswer: -122698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 6*n**2 - 5*n + 7. Let z(x) = -2*x**3 - 7*x**2 + 6*x - 8. Suppose -d + 2*k - 2 = -1, -3*k = -4*d + 11. What is d*z(o) + 6*i(o)?\nAnswer: 2*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 - 6*m**2 - 18*m + 5. Let y(k) = k**3 - k**2 - k + 1. Give -t(f) + 6*y(f).\nAnswer: f**3 + 12*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.02, -2 in descending order.\nAnswer: 2\/5, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfsfsfs. What is prob of picking 3 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 1)*(t + 0*t - 2*t) + 0 - 2*t + 0 - 152*t - 1107*t - 5028*t - 1724*t - 13286*t.\nAnswer: -21301*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = u + 1. Suppose u*n - 19 - 125 = 0. Suppose 0 = -q + 4*s + n, -4*s - 9 = 4*q - 41. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 + 564*b**3 - 38038*b**2 + 99156*b + 655200 = 0.\nAnswer: -3, 6, 104, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -24*j + 15. Let p be a(-6). Let x = 225 - p. What is the highest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3750120 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:36 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2797 - -2795.851. Let c = u - -1.26. Let p = c + -0.111071. Round p to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 585, 2046, 4863, 9492, 16389, 26010?\nAnswer: 38811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*x - 94437, -38*w + 36*w - x + 37780 = 0. What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 1, l: 1, a: 1, n: 2}. Give prob of sequence lnlz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + c - 1. Let n be p(1). Let z = n - -10. Solve -z + 1 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 3. Let q = f - -4.5. Let m be (2\/3)\/((-2)\/3). Which is the nearest to m? (a) -5 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 0. Let t = z - -15.5. Let o = -6 + t. What is the third smallest value in o, -1\/2, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 411\/187 - 2441\/1683. What is the common denominator of 3\/1430 and s?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424 and 7751197?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/11 + 2*d**2 + 6324*d\/11 = 0.\nAnswer: -51, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 335653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -829, -24, 1\/5 in descending order.\nAnswer: 1\/5, -5, -24, -829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3359, -6721, -10083, -13445, -16807, -20169?\n\"Answer: -3362*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j**3*x + 2*j**3 - j**2*x + 38*j**2 - 18*j*x + 43*j + 2*x wrt j.\nAnswer: 198*j*x + 12*j - 2*x + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22 + ((-180)\/(-24) - 12\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66807389 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -136*y. Let j(o) = -31*o. Calculate j(r(c)).\nAnswer: 4216*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbybnaybabnyvnbbyb. Give prob of sequence nnb.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505150843.\nAnswer: 505150843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 3*i - 147. Suppose -145*z - 9230 = -15*z. Let t = i + z. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (1174\/6)\/(2\/(-6)). Let o be 4\/(-10)*(a + 2). Let z = -334 + o. What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 460413\/645520 - 6\/8069. Calculate the common denominator of (172\/60)\/(2\/3) and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 2*k**2 + 7*k**2 + k + (-5*k + 2*k + k)*(-2 - 2*k + 2) to the form s*k**2 + f + z*k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -295 and -7.888752974.\nAnswer: -302.888752974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/40))**(15\/7)*(y**(10\/3))**(-2\/15) assuming y is positive.\nAnswer: y**(-197\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11797 and -328.9.\nAnswer: 3880033.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 126. Calculate h(49).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaraaaarr?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12.72 * -4\nAnswer: 50.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 1.5807. Let q = 297.9807 + y. Let s = q + -359.5. What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*j - 122*j = -33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38111483 is divided by 858?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 2. Let t(z) = -20*z + 341. Let v be t(17). What is m(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 31*u + 29*u + 10, 5*z + 3*u + 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74701 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: How many minutes are there between 5:01 PM and 6:10 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.256 - -0.014. Let w = a + -5.27. Let h = 0.3 - 3.3. Sort w, h, -1.3, -2 in descending order.\nAnswer: -1.3, -2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**2 + 206 - 206 + (4*w - 3*w + 3*w)*(w + w - w + (3 + 4 - 5)*(-w + 6*w - 3*w) - 3*w + w + w + 6*w - 3*w + 12*w).\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j - 18. Let m = 26 + j. What is the least common multiple of 2 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251989841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anwbnlwavwvvlaavvvvv. What is prob of sequence law?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) -5\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46417720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 27 = -19*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 19*b. Let o(n) be the third derivative of n**4\/3 + 84*n**2. Calculate o(u(d)).\nAnswer: 152*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10211 and 1546.\nAnswer: 15786206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -321.81 and -0.037.\nAnswer: 11.90697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**3 + 29*a**2 + 7*a - 7. Let y(t) = 3*t**3 - 7*t**2 - 2*t + 2. Let u(j) = 2*c(j) + 9*y(j). List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.920742*435.\nAnswer: 400.52277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*1235 + -1 + (-8)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2040 and 4862408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.14 - 1.07. What is the closest to -2 in 2\/3, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 107*x**2 - 355*x + 38209. What is w(107)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*k + 185*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/3)\/d)**(1\/51)\/(d**(2\/7)\/(d\/d**(17\/4))) assuming d is positive.\nAnswer: d**(-15035\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3999.83 + 4037. Let n = -37 + b. Let q = n + -0.17076. What is q rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257994 is divided by 71.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22 - 6*c**2 - 4 - 6 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2664*u**2 - 10702*u**2 + 2663*u**2 + 2705*u**2 + 2669*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 509, 1181, 2153, 3443, 5069, 7049?\nAnswer: 9401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16636 - 4653 = -5*p, 5*p = -5*h + 26610. What are the prime factors of h?\nAnswer: 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175351885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(19) + -3 + 6*(sqrt(38)\/sqrt(2) - sqrt(19))**2.\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnw when three letters picked without replacement from {n: 6, w: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1489 = 3*d + 1225. What is the highest common divisor of d and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**2)\/k*k*k)**8*k*k*(k*k**4\/k*k)\/k*k*k**(-1\/12) assuming k is positive.\nAnswer: k**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.89855 rounded to two decimal places?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iac when three letters picked without replacement from {a: 1, i: 2, c: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20991 + 41977 - 20986 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 25*x - 913. Calculate h(-45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 + 22440*y - 2307244 = 0. Calculate y.\nAnswer: -5711, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4 + 1968928*t**3 - 242288403936*t**2 - 969177243008*t - 969185118784 = 0.\nAnswer: -2, 246118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3363\/88 - -309\/8. What is the common denominator of m and 1 - (210\/44 - 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*x**2 + 277*x**2 - 150*x**2 + 2*x + 6*x**3 as v + w*x**3 + p*x + r*x**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -6. Let v = 20 + -9. What is the remainder when v is divided by (12\/y)\/((-6)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 502660432 - 3?\nAnswer: 502660426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 47439136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.28 - -0.28. What is the closest to 0.12 in 2\/11, d, -2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8989638 is divided by 135.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10911 = -13*l + 8134. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00782 - -3621.291202?\nAnswer: 3621.283382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/155 + 22378\/670.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 31 = 37 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.8. Let v = 0.0448 - -0.5552. Let k be 16\/(-464) + 1074\/870. Sort v, s, k, -0.4.\nAnswer: -0.4, s, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9640 divide 904058480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 281270 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2404598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1392292*b**4 + 939471*b**2 wrt b.\nAnswer: 33415008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*t - 22, 4*z + t = 68 - 8. Differentiate -5*g**4 + g - z + 26 - g**4 with respect to g.\nAnswer: -24*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -408\/5*z - 144\/5 - 289\/5*z**2 = 0.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1135 + 250212?\nAnswer: 251351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 24*o = 153. Let h = o + -48. Suppose -b - h*b + 752 = 0. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**3 - 2*u - 1. Let y(o) = o**2 + o - 4. Let i be y(-3). Suppose 3*l + 3 = -2*m, l - m + 3 = -i*l. What are the prime factors of d(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.4 (c) -1\/4 (d) -11 (e) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 20*d**4 + 34*d**3 + 16*d**2.\nAnswer: 2*d**2*(d + 1)**2*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = n - 180. What are the prime factors of (-1)\/6 - ((-559)\/n - -7)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let m(f) = 3*f**2 - 42*f + 60. Let p(n) = -12*j(n) - m(n). Factor p(k).\nAnswer: -3*(k - 12)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -21 - -27 - 59.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 780, 868, 1018, 1236, 1528?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440683503.\nAnswer: 3, 13, 17, 101, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 2*q**2 + 4*q**2 + (-q - 4 + 4)*(3*q - 2 - 5*q + q) - 3*q**2 - q + q)*(38 - 11 - 1) as r*q**2 + v + h*q and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwhwhrhraju. Give prob of sequence jw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 35*d**3 - 3*d**3 + 25 + 41 + 2*d**3.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 5. Let i be y(-4). Let v be ((-5)\/2)\/(2\/(-4)). Solve v - i = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from dnnn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - m**2 + 45 + m - 27 - 6*m**4 + (m**3 + 2*m**3 - 5*m**3)*(3*m - 2*m + m) + 3*m**4 + 2*m**4 - 6*m**4.\nAnswer: -11*m**4 - m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(6*s + 0*s - 4*s) + 3*s - 2*s + s + (-1 + 3 + 0)*(-2 + 2 - s) - s + 2*s + 0*s - 18*s + 2 + 17*s - 18*s in the form l + g*s and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 5*x**4\/4 + 3*x**2 + 6*x + 1. Let y(f) = f**3 + f + 1. Give 5*n(q) - 30*y(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/60 + 5*j**4\/6 - 17*j**3\/6 + 10*j**2. What is the units digit of t(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a1aaa (base 14) in base 11?\nAnswer: 2462aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 390683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/13536 and -33\/8.\nAnswer: 13536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12221111 (base 3) to base 12\nAnswer: -2611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 2. Let z be d(-4). Let l(i) = -i - 12. Let x be l(-10). Sort x, -5, z in decreasing order.\nAnswer: z, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*w**3*z**3 - 2*k*w**3 - 715505*k*w**2*z**2 - 325313*k*w*z**3 + k*z**2 + w*z**3 wrt z?\nAnswer: -12*k*w**3 - 1951878*k*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1334092 and 5842?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4585.\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -2. Suppose 2 = g, -50 = -m*y + 2*g + 3*g. Suppose -2*j + 44 = 2*j. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2713*r + 2713*r = -w + 5430*r, -2*w - 4*r + 48 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (33775 - 3*x**2 - 2*x + 0*x**2 - 33774 - 608*x**4)*(-1 - 6 + 6) as v*x**2 + u*x**3 + p*x**4 + k + y*x and give p.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = -k, -2*f + 5*f - 20 = -4*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145421406 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*c = -128*c + 29520. What is the greatest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 2. Let d(m) = 4*m + 3. Let f(k) = k + 8. Let o be f(0). Let j = o + -6. Suppose -3 = j*w + 3. Give w*d(p) - 5*r(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - 67. Let g(q) = -4*q + 1. Let v be g(-2). What is the greatest common factor of v and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**4 + 1339*f**3 + 5878*f + 157337890?\nAnswer: -16*f**3 + 4017*f**2 + 5878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i = -79*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 4*q, q + 3 = -5*r + 3*r. Let l be 8 - (r\/1 - (-1 - -1)). Suppose 0 = -d + l - 5. Solve 1 = -5*f + d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) - (-27)\/15. Let p = 4 - j. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 1637556?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 24596.54 to the nearest 100.\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + 453a2?\nAnswer: 45415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15.6 (b) -51 (c) -8 (d) -320\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 1, c: 1, o: 4, m: 2}. What is prob of sequence moz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + 2*g**3 + 13*g**2\/3 + 4*g + 4\/3.\nAnswer: (g + 1)**2*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5 + 718*x**2 - 1 - 719*x**2 - x**3. Let c be m(-4). Is 14 a factor of -48*c\/9*(-3)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/13*(-16)\/32\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qriitjq. What is prob of sequence jit?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71.63 + 72. Let a = -0.355 + v. What is a rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*w = -0*t + t + 45, -10*w + 216 = -11*w - 23*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 259*a. Let s(j) = -2*j. Let h(p) = -3*r(p) - 147*s(p). Let y(z) = z**2. What is y(h(u))?\nAnswer: 233289*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 - n**2)*(-45*n + 0*n - 31*n) as u*n + t*n**3 + a + r*n**2 and give t.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.938 - 58. Let x = u - -0.05764. Round x to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:15 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134240805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/189*(252\/135)\/(20\/25)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -154\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x**3 - 14934*x**2 - 47*x - 36945. What is s(-786)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -100110011000001011010110 (base 2) to base 7\nAnswer: -151340624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53102 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8541 + 3171 + 2174. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 - 9*o + 2. Let y(f) = -f**2 - f. Let q(r) = -i(r) + 5*y(r). Let v be q(3). Is (-96)\/(-4) + (v - -2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104594 plus 0.22?\nAnswer: 104594.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/(1\/10). Let h = -30.8 + 31. Which is the closest to h? (a) 5 (b) o (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 2\/(-1) + 1. Let y = -26 + l. Let x = y - -40. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 377, 753, 1129, 1505?\n\"Answer: 376*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 825547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 6)*(3 - 3 - 2) + 3 + 1 - 3)*(2*a - 1 + 1 + 1).\nAnswer: 18*a + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 80 + -1 + -2 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 11*v**2 - 16*v - 2. Let f = 15 + -27. What are the prime factors of o(f)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/27)\/(2\/(-9)*3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 2*x - 266. Suppose -6*l + x = -l. Calculate the lowest common multiple of l and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*g + 25, -b - 4*b + 10 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37007 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/8 - 8*p**2. Let k(j) be the third derivative of -11*j**5\/30 - 12*j**2 + 4*j. Give k(q(i)).\nAnswer: -198*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w. Let a(f) = -2*f**2 + 9*f. Give a(u(t)).\nAnswer: -128*t**2 - 72*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 44\/3. Let a be (-25)\/50*(-12)\/33 + 0. Sort 6, a, -0.4, m.\nAnswer: -0.4, a, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7146 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j + 35616 = 1002*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103*b**2 + 567 - 567)*(3*b**2 + 6*b**2 - 2*b**2) + 5*b**2 - 5*b**2 + 4*b**4 to the form f*b**3 + y*b + l*b**4 + a*b**2 + w and give l.\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a - y, 2*a - y = -4*y + 12. Let k be -6 - (3 + (a - 2)). Suppose -3*r - 14 = -5*d, -3*r - 3*d - 20 = -5*d. Is r >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 111?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*w + 283 - 339, 272*t - 8 = w + 269*t for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -62076 divided by 739\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 + -315. List the prime factors of 45\/i*1 - (-604)\/2.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7669975 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 22\/6. Let y = w + -3. Suppose 8*c = 1 - 1. Solve -4*o - 4*q + 16 = c, y*o + q - 2 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 - 35*w**3\/2 - 15*w**2\/2 + 35*w - 8 = 0.\nAnswer: -8, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 65 = 5*g, -30 + 55 = g - 3*q. What is the highest common factor of g and 9352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46*n**2 - 49*n**2 + 93*n**2 - 30*n**3)*(-3 + 2 + 3)*(2 - 2 - 3*n) in the form k*n**2 + b*n**3 + y + u*n**4 + d*n and give u.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3, t + 26 = -m + 22. Put -1\/6, -4, m, 0.5, 79 in decreasing order.\nAnswer: 79, 0.5, -1\/6, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -76186*y + 533308. Calculate g(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001881 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*g*u**2 - 2*g*u + 1017156*g + 440*u**2 - 42548*u + 6 wrt g.\nAnswer: 17*u**2 - 2*u + 1017156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 0.00616?\nAnswer: -0.008008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4099367 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76)*-2 + sqrt(76)) - sqrt(76) - sqrt(76))*3)\/(sqrt(128)\/sqrt(8)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + 4.3. Let j = 1 + -3. Which is the closest to j? (a) -0.1 (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18107 or -18104?\nAnswer: -18104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4371, -2 in descending order.\nAnswer: 4371, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-267)\/495) + 1232\/(-4620)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - -27. Calculate the highest common factor of q and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3 + 3 - 4*p. Let x(n) = 5*n**2 - 6*n - 6. Let r(d) = -d**2 + d + 1. Let v be ((-1)\/2)\/1*-2. Let u(a) = v*x(a) + 6*r(a). Calculate u(y(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/(-5340)*-402 - -4. Let q = x + 7\/178. Sort -0.3, q, -11 in decreasing order.\nAnswer: q, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232.8 - 22.8. Let s = -210.00000516 + l. Round s to seven decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 0)*(2*h**2 + 1 - 1)*(2*h + 2*h + h) to the form y*h**3 + a + b*h**2 + t*h and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6)\/(115\/15 - 0 - 6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32097 (base 10) in base 11?\nAnswer: 2212a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 128*u - 124880147. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213213 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-19509)\/3716*4\/1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 4. Calculate l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/9156 and 1\/387604?\nAnswer: 1162812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3535, 2781, 1525, -233, -2493, -5255?\n\"Answer: -251*f**2 - f + 3787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.03 - -0.03. Let j = o - -88.953. Let v = j - -0.547. What is the fourth smallest value in v, 1\/6, -4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60064259269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 12\/469, -2\/19, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 3*c - 31\/2*c**2 + 0 + 1\/6*c**3. Let z(k) = 9*k + 15. Let h(x) = 14*x + 24. Let b(r) = -5*h(r) + 8*z(r). Give m(b(i)).\nAnswer: 2*i - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26971501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkkt when four letters picked without replacement from tkkkktkt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {l: 1, f: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/10 (b) -0.1 (c) 6 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7108069, 7108051, 7108035, 7108021, 7108009, 7107999, 7107991?\n\"Answer: b**2 - 21*b + 7108089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g - 58. Let f be z(-9). Suppose 600 + 4225 = f*i. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 - 30*l**3 - 21*l**2.\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - w)*(3*w + 5*w + 6*w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2840884717?\nAnswer: 11, 73, 89, 127, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98280 divided by -945.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -92569 divided by 4\nAnswer: -92569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - i**2 - 9 + 30 + 0*i**2 in the form v*i + f + b*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2a9aa (base 11) to base 7\nAnswer: 241462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2485 and 1349.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 9*d - 11. Calculate r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(3*x - x - 4*x) + 30 - 121*x - 19 - 90*x - 32 in the form n*x + d and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 v when four letters picked without replacement from {v: 5, a: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 5 (c) -5 (d) -2\/5 (e) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 + 2*x**2 - 6. Let v(t) = 9*t**3 + 4*t**2 - 11. Let z(y) = 5*i(y) - 3*v(y). Let g be z(-2). Solve -5*n + g = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 21*r**2 + 17*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 199.98592 times -0.4\nAnswer: -79.994368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70926 by 3.\nAnswer: 23642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-6)\/(-8) + 4. Are j and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/18 + -1 + -1 + (-1969)\/(-22).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let n(k) be the first derivative of k**6\/360 - 2*k**3\/3 + 10. Let b(v) be the third derivative of n(v). Determine h(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/9 + 76268*x**3\/3 - 6542993504*x**2\/9 - 17452330220*x\/3 - 45813768350\/9 = 0.\nAnswer: -7, -1, 57205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400 = -801*r - 7808 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/2 + y**4\/4 + 23*y**2 - 218*y. What is the first derivative of l(t) wrt t?\nAnswer: 30*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17793 (b) 0.5 (c) 0.1 (d) 2\/5 (e) 20 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14637, 29752, 44867, 59982, 75097, 90212?\n\"Answer: 15115*c - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2889350 divided by 115574.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(s - 3*s + s) + 4*s + 3*s - 2*s - 2*s + s - s)*(-1 + 8 - 1)*(6 - 7 - 9).\nAnswer: -300*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 5*(sqrt(78) - -2*sqrt(78) - sqrt(78)))\/(5*sqrt(96)).\nAnswer: 11*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-4)*c)))\/c**(-2\/21)*(c*c*(c\/(c**(-1\/4)*c))\/c)**(-42\/5) assuming c is positive.\nAnswer: c**(-521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + z = 3, -2*v - 5*z = 2*v - 9. Suppose 0*f = -2*f + v. Let k = f - -17. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**5 + 0*w + 0 + 0*w**4 + 3\/2*w**3 - w**2.\nAnswer: -w**2*(w - 1)**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p. Let n be -3 + 2 - (-3 + 0). Let x(i) = -3*i - n*i - i. Suppose -3*d = -a - 3*a + 13, -4*a = 3*d - 43. Determine a*f(t) - 4*x(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppszspspszszzp. What is prob of picking 1 p, 2 z, and 1 s?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 34, 48, 60, 70, 78, 84?\n\"Answer: -b**2 + 19*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/25211, 40, 5?\nAnswer: -10\/25211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v)**32\/(v**2\/(v\/v**(3\/2))) assuming v is positive.\nAnswer: v**(443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, u: 7}. Give prob of picking 2 u and 1 p.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*t - 12. Let h = -65 + t. Let g = 38 + h. Solve -o + 6 + 2 = -4*i, i = -3*o + g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -384, -1199, -2768, -5343?\n\"Answer: -42*w**3 + w**2 - 22*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 155. Determine p(5).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 12 = -2*c. Let a(l) = 8*l**3 - 6*l**2 - 3*l. Let o(y) = -9*y**3 + 7*y**2 + 3*y. Determine c*o(w) - 7*a(w).\nAnswer: -2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose -3*w - g = m - 4, -3*w = 0. Suppose 0*q = -m*q + 22. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39905)\/(-5205) - (-129)\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11465.25529 less than 0?\nAnswer: 11465.25529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 10*j - 6. Give k(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34444 and 2180?\nAnswer: 172220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -171 (b) 542\/7 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -28, 2, -12236, -5 in decreasing order.\nAnswer: 5, 2, -3, -5, -28, -12236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = y - 2*f, 0 = 4*f + 23 - 7. Suppose -4*x = -495 - y. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -578.1614 to the nearest ten.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31782300 rounded to the nearest 100000?\nAnswer: 31800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:28 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a725 (base 11) in base 5?\nAnswer: 423214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 267796*q + 19013519. What is c(-71)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 13*t - 18. Let f be a(11). Let j be (-32)\/(-6) + 0 - f\/12. Solve 2 = 2*w - 4*n - 4, 0 = -5*w + j*n + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -401\/13. Let y be (8\/12)\/((-6)\/(-9)). Which is bigger: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2281 + 2*n + 1087 + 1455 + 2*n**2 to m + r*n**2 + t*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43508 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 18 + 9 + 53?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from metkettkektt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/15 + 916*v\/5 - 44080\/3 = 0.\nAnswer: -1450, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1*(-1)\/2)*2. Let g(k) = k**2 - k - 3. Let z be 2 + 2\/(-3)*3. Let o be g(z). Sort v, o, 6 in descending order.\nAnswer: 6, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/555*170\/442?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ororoorrre. What is prob of picking 1 e, 2 r, and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 + 1646*u**2\/5 - 134805*u - 544500.\nAnswer: -(u - 825)**2*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118130533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36900 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 4 = -4*h - 4*g, g + 10 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072*n = 997*n - 884*n - 43845 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2024 = 4*n, 2*q + n - 1022 = -3*n. Suppose -q*c = -506*c + 1305. Calculate the highest common divisor of 58 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 276, 260, 226, 168, 80, -44, -210?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2202?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h. Suppose -v + 3*d = 6*d - 13, 3*v + 4*d - 24 = h. Let n(y) = 4*y + v + y - 6*y. Determine n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Suppose 4*l = -2*s + 72, -o*s = -0*s + 5*l - 147. Calculate the remainder when s is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 155592 and 10933?\nAnswer: 144659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3.7 (b) 0.002 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 284*p**2 - 279*p**2 - 14 - 4*p - 2*p**3 + 7*p as l + j*p + v*p**2 + u*p**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1. Let z(c) = -315000*c + 18750. Let m(w) = 37500*u(w) - 2*z(w). Let i be m(1). Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {v: 4, u: 4, b: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*-1 + 2. Suppose 74 = 2*g - h*l, -65 = -3*g + 3*l + 46. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + x + 22, -5*h + 10 = -3*h - x. Suppose h*k - 3 = -u + 3, -3*k + 5 = u. Solve -3 - k = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391034 = -161*h + 108*h. What are the prime factors of h?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176700 divided by -50\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + 5. Let i be (2 - 3)*(q + 0). What is the second derivative of -6*b**4 + 7*b + b + 5*b**i wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1981.\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -55.2. Let i = b - -3.8. Sort 0.4, i, -5 in descending order.\nAnswer: 0.4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = -3*m + b, 4*m + 19*b - 16*b - 697 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 12*v + 10. Suppose -3*k + k = f - 19, 4*f = 3*k + 32. What are the prime factors of p(f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 0.6 (c) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 19*j**2 - 20 + j**3 - 5 - 38*j + 16*j - 10. Let t be k(-20). Solve -3*l + 2*o = -9, 0*o = t*l + 2*o + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 17*o**3\/3 + o**2\/2 - 5. List the prime factors of x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 51228255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*v + 133 - 755, 3*v + 1038 = 5*p. What is the common denominator of (p\/(-80))\/(6\/4) and 31\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2 - -5)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 152?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2295\/19 + 195968\/1615. Calculate the common denominator of 1 + 1 + 54\/(-11) and o.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31752794 * 5.\nAnswer: -158763970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1d6363?\nAnswer: -1d6364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 11*q + 3. Determine y(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217056749?\nAnswer: 7, 13, 2385239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 14565*w + 10241110.\nAnswer: 5*(w + 1186)*(w + 1727)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 8\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995144970 minus 8?\nAnswer: 3995144962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 3*q**4\/16 + 5*q**3\/4 - 3*q**2\/2 - 15*q - 7203. Factor f(r).\nAnswer: 3*(r - 2)*(r + 2)*(r + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(3*(sqrt(208) + -2) + (sqrt(208) + 0 + sqrt(208) + 4 - sqrt(208)))*-1)**2.\nAnswer: -1024*sqrt(13) + 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31805 is divided by 98.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1518*w**3 - 501*w - 2 + 692*w**3 + 501*w.\nAnswer: 2210*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -419.16 - 685.\nAnswer: -1104.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62542, 125086, 187630, 250174, 312718, 375262?\nAnswer: 437806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170006, 336392, 495530, 643796, 777566?\nAnswer: 893216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 143*k**2 - 65*k. Let w(f) = 9*f**2 - 4*f. Let o be (36\/(-30))\/((-21)\/30 - -1). Let d(a) = o*j(a) + 65*w(a). Let m(t) = 2*t**2. What is m(d(u))?\nAnswer: 338*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 120231077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 18 - 2 - -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -562, -446, -224, 158, 754, 1618, 2804?\nAnswer: 4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -d - 13, 4*j + 3*d = 41. Suppose 0 = 2*u - j, -2*u = -4*v - 3*u + 116. Calculate the lowest common multiple of v and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000129 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g*g**(-4\/7)\/g)))**(-5)\/(g**(-11\/3)*g**21) assuming g is positive.\nAnswer: g**(-199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 6)*(-513)\/(-855). Let z = -2 + 4. Let s = -3 + 2.8. What is the nearest to z in s, c, -4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1231?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 2*l. Let y be q(-2). Suppose y = 5*b - o, -14 = 3*b - 5*b + 5*o. Suppose -b*d = -d - 12. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -698, 4, 5, -41, -5 in increasing order.\nAnswer: -698, -41, -5, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12662 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 2, x: 3, g: 9, v: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(90)*3)\/sqrt(2)*-5)\/((sqrt(441) + 2*sqrt(441))*4 + sqrt(441) + sqrt(441)*1*4 + sqrt(441)).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 45. Suppose -71*d + 372 = -40*d. Sort d, 0, -1, h in decreasing order.\nAnswer: d, h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u + 13. Let b(y) be the first derivative of 4*y**2 - 7*y + 33. Give 5*b(q) + 3*j(q).\nAnswer: -5*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/245, -29, -0.1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2276400 divided by -48\nAnswer: -47425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 18854 = -9034. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7)*-2)**2 - sqrt(7)) + 4.\nAnswer: -sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Suppose 2*w + t*w - 24 = 0. Suppose 3*a = -w*k + 112, -a + 3*k - 172 = -6*a. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let l be b(2). Suppose l*q - 6 = q. What is the third derivative of -g**q - 2*g**2 + g**3 + 0*g**2 - 2*g**2 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001100001001010 (base 2) to base 11\nAnswer: -173696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -135 and -133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 = -3*r + 9, 3*r + 2*x - 19 = 0. Calculate the greatest common factor of r and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -3 (c) -6 (d) 0 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 (base 15) in base 5?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 53 = -3*r. Sort r, 3, -5.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26041 - 1095\nAnswer: -27136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 79*s**7\/70 + s**4\/24 + 119*s**3\/3 - 24*s**2 + 2*s. Differentiate y(k) wrt k.\nAnswer: 948*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 3)*(371*w - 106563 + 106563)*(w + 1 - 1) to the form x*w**2 + j + g*w and give x.\nAnswer: -1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 314851391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/12 - 63886\/8. Is -1 + 28\/36 - p\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/5, 1, -0.12 in descending order.\nAnswer: 1, 1\/5, 0, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -2, -0.4, 661, 0.3, -0.5?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = 3*j. Let s be (1\/j)\/((-2)\/6). Let r(y) = 7*y**2 - y. Calculate r(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 39. Let j = 13 - y. Solve 4*b - 13 + 1 = j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553\/(-39)*-27 + (-2)\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 10. Give h(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81640774?\nAnswer: 2, 181, 225527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 + 560*i - 137200.\nAnswer: -4*(i - 490)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhse. What is prob of sequence hz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwe when three letters picked without replacement from {y: 2, w: 1, s: 5, e: 1, i: 3, c: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51340602 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from jjs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 847, 1383, 1967, 2599?\nAnswer: 3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2 and 98.\nAnswer: 95.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/20 - 7*h**4\/12 + 3*h**3\/2 - 11*h**2\/2 + 4*h. Does 14 divide a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*i + 14, 4*t - 3*i - 1 = -4*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-15)*(-225)\/1170*(-364)\/336.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -271000000 to the nearest 1000000.\nAnswer: -271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*u = -2*v + 8*v - 50, 0 = 2*v + 56*u + 30 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 81 = -2*m + 114, 2*m + 4*p + 2 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 6*v - 1. Let b = 13 - 8. Suppose 3*s - b = 4*s. Is h(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110050626?\nAnswer: 2, 3, 7, 2620253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58116721, -116233441, -174350161, -232466881?\n\"Answer: -58116720*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i + 10 - 10.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 - 697*p - 2811. Let w be d(-4). Solve 3*a = -10*u + w, 5*a = 5*u - 19 - 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 24565.875 to the nearest one hundred.\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2219, 2222, 2225, 2228, 2231, 2234?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.091197nm in centimeters?\nAnswer: 0.0000009091197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 7*k**4\/2 + k**3\/3 + 129*k**2 - 574*k. What is the second derivative of w(d) wrt d?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-36)\/(-20) - -3). Suppose f = 3*j + 14, 4*f - j + 5*j + u = 0. Let b(k) = -3*k**2 - 2*k - 1. Let w be b(f). Which is greater: -5\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*q - 3 = 0, -4*z = -q + 17 - 19. Which is bigger: 24\/949 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2197 - -3a?\nAnswer: -c215b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-871)\/7839.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(11))*4 + 4 + -1 + (sqrt(88)*1)\/sqrt(8) + 3)**2 + 1.\nAnswer: -20*sqrt(11) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5\/v*v*v**(-5)*((v*(v*(v*v*v**(-1)\/v)\/v)\/v)\/v)**(-26\/7) assuming v is positive.\nAnswer: v**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3340100 (base 5) to base 7\nAnswer: 333233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:45 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/43 + -29\/301. What is the closest to 3 in -0.3, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(-1 + 0 + 2*sqrt(612)).\nAnswer: -36*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 303*z - 271. Let h be b(5). Suppose 0*s - h = -s. List the prime factors of s.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -33*w**2 + 529*w - 29. Calculate m(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-11 + -6) - 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**3 - 12*l**3 + 8 + 2*l**2 + 2*l**4 - 4*l**4 to h*l**2 + x*l**3 + j*l + a + q*l**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000202001 + -1?\nAnswer: 2000202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-7) - (-1 + 2). Suppose 3*t - 9 = -0*t. Suppose 5 + t = 4*f. Let b(z) = z + 2. Let r(h) = h + 2. What is f*r(u) + s*b(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05029 and 211.898.\nAnswer: 211.94829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50701701 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuc when four letters picked without replacement from {p: 2, y: 1, j: 1, c: 3, u: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11827 divided by 144.\nAnswer: 11827\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 x when four letters picked without replacement from {x: 4, s: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-81) + (-14228)\/(-36). Is x\/158 - 275\/(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p. Let v = 2329 - 1270. Let q(h) = 3 - v*h**2 - 3 + 1057*h**2. Give l(q(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/3*(-8)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -1, 1\/324 in decreasing order.\nAnswer: 1\/324, -0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 2. Let n(x) be the third derivative of -4*x**5\/15 + 11*x**3\/6 - 7*x**2. Determine -2*n(a) + 11*v(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 10*d + 28. Let h(r) = -r**3 + 20*r**2 + 20*r + 24. Let u be h(21). Suppose 11*k - u = 107. What are the prime factors of y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*c + 11061 + 39721 = 0, -2*c = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9162346 millimeters to nanometers.\nAnswer: 916234.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 31*z + 59. Let p be m(-17). What is the greatest common divisor of p and 928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 33*r**2 - 26*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(475) - sqrt(475)) + 1 - (2*sqrt(19)*4 + 0).\nAnswer: 1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -188815, -377656, -566497, -755338, -944179, -1133020?\n\"Answer: -188841*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 5 - 2*-4. Is 4 a factor of ((-2)\/p)\/((-2)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -975 + 2198. Suppose 63813 = 10*t + s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -0.5 (c) -0.1 (d) 19 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98890*w**4 + 2*w**2 + 16707.\nAnswer: 2373360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 1. Let a be r(1). What is the third derivative of 14*m**2 + 0*m**4 - 3*m**4 + a*m**4 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 3 (c) -419.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303874 grams in milligrams?\nAnswer: 303.874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/252 - (-800)\/1785. What is n in 0 - 2\/17*n**2 + i*n = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 1850 - 1850.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4034 (base 9) in base 4?\nAnswer: -232003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 14*c + 3*c)*(-121*c + 126*c - 648*c).\nAnswer: -8359*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**4 + z**4 + 0*z**4 + (-2*z**3 + z - z)*(-z + 2 - 2) + 2*z**4 + z**2 - z**2 to s*z**3 + k + o*z**2 + m*z**4 + t*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 22*w - 72. Suppose -143 = 5*c - 268. Let s be i(c). Solve -4*a = -15 + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128459 is divided by 592.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1100)*-3 + -4)*-2 + (-2*-1*sqrt(1100) - (1 + -2*sqrt(1100)))*-4)**2.\nAnswer: 5760*sqrt(11) + 71696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*((-2 + 2 + sqrt(76) + 3)*1*-5)**2 + 0.\nAnswer: 4500*sqrt(19) + 31875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4 + 5 + 9*y**2 + 11*y**2. Let z be x(-1). What is the greatest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 5*s**3 + 5*s**2 + 5*s.\nAnswer: -5*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.3 (c) -189 (d) 1\/2 (e) 2 (f) -28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/63 in 2, 503, -1.134?\nAnswer: -1.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 16*m - 21*m - 432. Solve -53*v + m*v + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*j - 14, -3*s = -1418*j + 1416*j - 40 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 38*f + 427. Let i be g(-13). Which is greater: i or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, b: 3, u: 2, s: 3, c: 2, y: 1}. Give prob of sequence bc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2003, 2002, 2001, 2000?\nAnswer: 1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s. Let u be 882\/(-135)*(-192)\/(-224) - (-3)\/5. Let j(r) be the first derivative of -2*r**2 + 1. Calculate u*m(a) - 6*j(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*h**2*n**2 + 249*h**2*n - 7*h**2 - 415*h*n**3 - 2*h*n wrt n.\nAnswer: 40*h**2 - 2490*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v - 37. Let d(u) = 3*u + 37. Let m(z) = 6*d(z) + 5*n(z). Let g be m(17). Solve -20 = -j - g*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2 + (2 + 0 - 1)*(1 + 2 - 2 + 0 + 0 + 1 + (4 + 1 - 7)*(-1 + 3 - 4)))*(-7*c**3 - 2*c**3 - c**3).\nAnswer: -50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -17*z**6\/40 + 17*z**4\/12 + 27*z**2. Find the second derivative of n(y) wrt y.\nAnswer: -306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 5 + (-14 - -12). Suppose m = n*k - 11, 2*k + 0*m + 3*m = -1. What is the second derivative of 4*f - f**5 - 4*f - k*f + 3*f**5 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*o**4 - 200*o**3 - 2*o**2 - 301072*o wrt o.\nAnswer: 288*o**2 - 1200*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12254 (base 9) to base 13.\nAnswer: -3991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -279*y**4 + 2*y**2 + 58*y wrt y?\nAnswer: -6696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 13*u**2 - 3*u. Let f(c) be the first derivative of c**4\/4 - 7*c**3\/3 + c**2 + 110. Determine 5*f(a) + 3*m(a).\nAnswer: 2*a**3 + 4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 + 85*c - 956. Calculate n(10).\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*c**3 + 14*c**2 + 6 + 53*c**3 - 15*c**2 - 34*c**4 to the form a*c**3 + l*c + g*c**2 + o + b*c**4 and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hthh when four letters picked without replacement from {t: 5, h: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300 = -4*y - 2*b, -2*b + 1524 = 5*y - 99. Let r = y - 219. Suppose -3*n = n - r. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 3. Let u(s) = -s**2 + 5*s - 4. Determine u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4 + 3*m + 11*m to n*m + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19534 - 10705. What is the remainder when f is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 35. Suppose y*k = 5*s - 2*s - 66008, -3*s = 3*k - 65994. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167869 + 330012. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3.1.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {r: 14, l: 5}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/4*(-67 + -1). Suppose d - 26 = -5*g, -4*g + 4*d + j = 11. Solve 2*m + g = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*p + 3 + 5, 2*z = -2*p - 4. Let q(k) = 20*k**2 + 9*k. Let c be q(z). Let j = c + -27. Calculate the highest common factor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from ezvveeeveeezeevzeze.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/13*(-2)\/2*(-3)\/25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372617226?\nAnswer: 2, 7, 169472659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -489 (base 14) to base 8.\nAnswer: -1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*h + 13 = 0, 0 = 4*j - h - 3*h + 4. Find the common denominator of ((-2)\/6)\/(j\/(-146)) and 81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -0.5, 0.32, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.38, 18, 0.1 in descending order.\nAnswer: 18, 2, 0.38, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2076102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + 9 + (-32 - -13) + 11.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -0.4, -2546, -3.2 in descending order.\nAnswer: -0.4, -4\/3, -3.2, -2546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 2967986.\nAnswer: -2967988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from sssssoossos?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 8*l + 3. Let g(w) = 6*w**2 + 40*w + 16. Let i be 2 - (5 + -5 - -13). Let b(v) = i*f(v) + 2*g(v). Determine b(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2617854, 5235708, 7853566, 10471434, 13089318, 15707224?\nAnswer: 18325158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(13) + 3.\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 12*c**2 - 34*c**2 - 7*c**2 + 2*c**2 + 6*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Let p = 410.94 - 422. Let s = -11 - p. What is the second smallest value in s, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*r = 2*r - 82, -s + 91 = r. What is the least common multiple of s and 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -16, -5, -5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by -3*1 + 18088\/136.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29 and -4.67?\nAnswer: 33.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7 - 18586*s**2 + 37162*s**2 - 18574*s**2 + 7*s. Calculate c(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2473, -4862, -7229, -9562, -11849, -14078?\nAnswer: -16237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -34 + 7*w + 29 - 15*w + 9*w. What is z(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (18165\/10)\/(-7)*(-12)\/18 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 23178420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100101?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -19, -2 in descending order.\nAnswer: -2, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1371 + 1374. Suppose 0 = 3*j - i + 19, -4*i = 3*j - 6 + 35. Which is the third smallest value? (a) j (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x + 5*h, 0 = 4*x + 4*h + 3 - 43. Suppose 5*t = x + 2. Let k(i) = 3 + 2*i**2 - 3*i**t - 5*i + 0*i**2. Determine k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7540 + 7652. Solve -49*i - t = -33*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/10*(103011 + -10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 193*s**5\/20 - s**3\/3 - 6*s**2 + 109*s. Find the second derivative of l(q) wrt q.\nAnswer: 1158*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q + 2*q. Suppose -5*g - 53 - 167 = 5*n, g - q*n = -53. Is -45 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2925236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25 - 4 - (4 - 0). Suppose -5*x + 7 = -8. Suppose -4*f - n + 19 = 0, 7*f = x*f + n + 13. Solve w = -f*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 16, x: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/6 + (1 + -3 - 2). Suppose 2*l = -5*o - 7, -l + 2*l = -3*o - 5. Factor 1\/2*h - z*h**3 + 0*h**2 + 1\/4*h**l - 1\/4.\nAnswer: (h - 1)**3*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*f**2\/3 - 376*f\/3 - 75 = 0. Calculate f.\nAnswer: -225\/151, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1844*o = 1795*o - 539 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 21*t**2 + 30*t + 173. Let g be v(-22). Sort 3, 4, g, 1, 22.\nAnswer: g, 1, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:11 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 + 281.99136. What is v rounded to 4 dps?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {f: 3, k: 3, w: 3, y: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 8 + (-2 - -6) - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 9) to base 6.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 52*l**2 - 2*l + 99. Give z(52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*q - 14, -20*y + 124 = 4*q + 88 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 787 + -529. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -8702765232842?\nAnswer: 8702765232836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 374 = -w, -2*w - 2*j + 768 = -4*j. What is w rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31494?\nAnswer: 2, 3, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 15*f**2. Let s(l) be the second derivative of l**6\/360 - 5*l**4\/6 - 3*l. Let h(t) be the third derivative of s(t). Give w(h(b)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(8640))\/((-2*sqrt(36))\/sqrt(3)) + -4).\nAnswer: -6*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*c - 11. Suppose -15*l + 11*l = c. Let s(o) = -19*o**3 + 1. What is s(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 14*y**2 + 14*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 7963586.84?\nAnswer: 7963584.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 16. Let g be c(10). Sort g, 1, 5, 2 in ascending order.\nAnswer: g, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m - 83. Let l be t(-11). Let u(w) = 9*w**2 + 14*w + 41. Is u(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddx when three letters picked without replacement from {d: 4, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c + 8. Let b(p) = 9*p + 5. Let j(z) = -8*b(z) + 5*g(z). Calculate j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j = 250. Suppose j*r = 52*r - 6. Suppose r*m - 134 = -20. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*l + 32, 7*q - 3*q + 5*l = 64. What is the remainder when 437 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1006392 centimeters?\nAnswer: 1.006392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 633*l + 122. Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 4*o, 6 = -28*q + 26*q. Let p = -25 - -29. Solve -5*t - 13 = -o*t - p*x, -7 = -t - 4*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p + 201. Calculate k(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 16*h**2 + 17*h + 20. Calculate f(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Which is smaller: -0.2 or m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*11571.9.\nAnswer: 3471.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5573310)\/(-389250) + (-2)\/(-25). Let q = 1\/519 + m. Is q at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + k**2 + 2*k**2. Let i(f) be the first derivative of 2\/3*f**3 + 2*f + 1\/2*f**2 - 14. Calculate -i(j) + 4*p(j).\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103.05 - 103. Let j = a - -0.37. Let n = j - 0.42. What is the closest to 4 in -5, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 3209, 10726, 25357, 49472, 85441?\nAnswer: 135634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35718 divided by -438\nAnswer: -5953\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/54 - -89\/1026. Let m = -32 + 37. Let g be 10\/25 - (9\/m)\/(-3). Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*f - 4 = -377*f. Which is the nearest to 1\/4? (a) f (b) 2\/7 (c) -0.1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/4 + 44*a + 91. Suppose 2*o + 2*o + 2*p + 10 = 0, p = 4*o - 5. What is the units digit of c(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 79*x**2 + 12*x - 13. Give k(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*j - 1410601 = -127*j + 2*a, -564247 = -2*j + 3*a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 39\/18) + (-635)\/(-30). Let l be (-1)\/(-2) - g\/42. Let k be (l + 0)\/(1 + 1 + -3). Which is smaller: -1\/41 or k?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546120 divided by -3034?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.3 - 18.3. What is the third biggest value in 2\/11, -2\/7, 1, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 16624?\nAnswer: 16623.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1*(-6 + 9) + 72. Let o(a) = 5*a**2 + a + 2. Let y be o(4). Let q = y - u. Calculate the highest common divisor of q and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -193\/4. Let o = 38725 - 38723. Which is the closest to 2? (a) o (b) g (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 627, 1445, 2263, 3081?\n\"Answer: 818*z - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7602359 to two dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/155 or 4?\nAnswer: 3\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3*(-74)\/(-4))\/((-4)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k + 3*x - 13 = 0, 4*x - 76 = -5*k. Suppose 2*w = 5 + 3. Suppose 0 = -w*p + k, -2 = h + 4*p - 16. Put h, 4, -4 in descending order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 - 261*g**2 + 519*g - 259 = 0. What is g?\nAnswer: 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = 8*f. Let t be ((39\/52)\/1)\/(-3 - f). What is the biggest value in -50, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 3) + 22 + (-9 - -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 3*p**2 + 6*p**2 + 3*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13 + 3)\/(-4) - 23. Let o = v - 13. Is (-1255)\/1*(o\/(-25))\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - -184 - (3 + 0). Suppose 5*x - 188 - f = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(6*l**2 - 6*l**2 + 4*l**3 + (-3 + 2 + 0)*(-34*l + 34*l - l**3)) in the form c*l + u*l**3 + n*l**2 + d and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/11, 4, -2, 2, -5?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92052 or 1380791\/15?\nAnswer: 92052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 5*m**8\/14 - 2*m**4\/3 + 6*m. What is the third derivative of c(h) wrt h?\nAnswer: 2400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 356 + -353. Solve -v*y = -2*r - 10, -2*y = 3*y - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - k. Let y be n(2). Let l be 0\/y*(-1)\/1. Find the second derivative of c + 2*c**5 + l*c**5 - 5*c**5 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 19 - 46 = 0. Suppose 18*y - 33 = -3*a + 19*y, 15 = -a - 4*y. What is the highest common divisor of a and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 44, 30, 10, -16, -48?\n\"Answer: -3*q**2 + q + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*i - 6296 = -227*i + 6304 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 55. Let k be q(-30). Which is bigger: 26 or k?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/5, -3\/2 in increasing order.\nAnswer: -3\/2, -1\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 166900 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 259536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1155\/52, -9\/2, -0.4?\nAnswer: 1155\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:12 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 1, -2\/13, 6 in descending order.\nAnswer: 6, 1, 0.5, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l - 280. Let r(y) = -14*y + 561. Let d(j) = 5*n(j) + 2*r(j). Suppose 5 = 3*c - 1. What is the remainder when d(40) is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96231812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/12)\/(173\/1384).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 1, a: 3, b: 4, k: 1, l: 6}. Give prob of sequence lkba.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8347?\nAnswer: 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11228, -11761, -12270, -12755, -13216?\nAnswer: -13653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 837349706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -0.51. Let k = i + -0.6. Let m = -1 - -3. Which is the closest to m? (a) -0.4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -470, -988, -1558, -2180, -2854, -3580, -4358?\n\"Answer: -26*a**2 - 440*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**2))**(-1\/31)\/(h**(-1\/3))**(2\/15) assuming h is positive.\nAnswer: h**(-28\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8)*-4)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*u**3 - 450*u**3 - 455*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/9, 22, -1\/6, 5 in increasing order.\nAnswer: -4, -2\/9, -1\/6, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122420.\nAnswer: 2, 5, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -7*m**6\/60 - 8*m**5\/15 - m**4\/3 - 12*m**2. Suppose j(q) = 0. Calculate q.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*r - 6*r + r + (5*r - r - 2*r)*(1 + 1 - 1) - 3131 + 3131 + 105*r as b + d*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x + 32*x - 60*x to z*x + y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(76*m + 4 - 48*m + 3*m**2 - 27*m)*(74 - 3*m - 74) to i*m**2 + o*m + h + j*m**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-7))\/o)\/o)**(-2)\/(o**3*o**(2\/7)) assuming o is positive.\nAnswer: o**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, 13, -20 in descending order.\nAnswer: 13, -3, -20, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -80*n**3 + 57 - 6*n**4 + 80*n + 25 - 10*n**4 + 18 - 84*n**2 = 0?\nAnswer: -5\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246071285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.5 (c) 9.78 (d) -5 (e) -7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/4, 3\/2, -183 in descending order.\nAnswer: 3\/2, -1\/4, -0.5, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 0, 2*d = -5*u + 3 + 35. Calculate the highest common factor of d and 1512.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02443823 - -0.0245. Round d to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, 3, 0, -1\/3, 0.21 in increasing order.\nAnswer: -1\/3, -0.1, 0, 0.21, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 335, 336, 347, 374, 423, 500, 611, 762?\n\"Answer: q**3 - q**2 - 3*q + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 30.3. Let y = -1.29 - 12.01. Let i = y + 7.3. Which is the fourth smallest value? (a) i (b) -0.5 (c) q (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*f + 23291*f**2 - 6247*f**2 - 4*f.\nAnswer: 17044*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3690 and 1170?\nAnswer: 47970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 20074 and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 2, b: 1, k: 3}. What is prob of sequence ww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -32*z**3 + z**2 + z - 1. Let v(p) = 39*p + 274. Let f be v(-7). Determine x(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/8)\/(3\/8). Suppose 5*v = -p*n + 15, -2*v - 15 = -n + 5. Suppose -a + 6*a = n. What is the least common multiple of a and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -60. Suppose 5 + b = 5*d. Let a(h) = 0 + 5 - d - h**2 + h - 1. Let p(m) = -m**3 - 3*m**2 + 3*m + 3. Give -3*a(z) + p(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -17. Let p = 4 - o. Let x = -4 + 0. Which is the second smallest value? (a) 2\/7 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3135246967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -27, 3, 73 in decreasing order.\nAnswer: 73, 3, -27, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.454 - -0.455109. What is g rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146292361 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 6. Let l = 18 - 12. Suppose -a - 35 = -l*a. Solve a = -3*r - 4*x, -r - x + 0*x = h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*l + 2*v - 0*v, 2*l + 5*v = 37. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - -0.3. Let m = -51.5 + 64.5. Let s = -8 + m. What is the third smallest value in s, a, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {l: 6, h: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 41 + n + 61 as t*n + c and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.00777 and 2.\nAnswer: 1.99223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -390 - -2937. Let w = -142853\/4 - -33153. Let y = o + w. Calculate the common denominator of -20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.7 + 0.7. Which is the closest to -1\/4? (a) 0 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 250*c**3 + 2865*c**2 - 5000*c + 2380.\nAnswer: 5*(c - 34)*(c - 14)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3))\/((-41685)\/64314).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/21)\/(96\/28). Let i(k) be the third derivative of 1\/180*k**6 + 0 + 0*k**3 - 1\/90*k**5 + 0*k - 2*k**2 + 1\/315*k**7 - d*k**4. Factor i(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*g - 129*g - 115*g to the form o*g + r and give o.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + -36. Let f be 6 + (164 - 8\/(-4)). Let l = f - 152. What is the remainder when c is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 30. Suppose a*u - u = -20. Let m = u + 7. Solve y - m + 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 34. Suppose 4*x - l = -53. Let h(p) = 11*p**3 + 13*p**2 + 2. Let g(s) = 5*s**2 + s - s + 1 + s**2 + 5*s**3. Determine x*g(c) + 4*h(c).\nAnswer: -c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 170297 * -0.02296\nAnswer: -3910.01912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*k + 0*k - 2*k)*(0 + 0 + 7*k) as j + m*k + w*k**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 u when three letters picked without replacement from fhhfsfxsshuffyuyhf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25726 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 37. Let z be a(11). What is the greatest common divisor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3622a2 + -76a?\nAnswer: -362a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136995511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 446306 divided by -142?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63437*m**2 + 190281*m**2 - 63418*m**2 - 63433*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:07 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4352620 is divided by 637?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 372475852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4693*c - 10116*c = 903349 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14937771.0000001 - -14937772. Let a = 6 + -5. Let j = a - n. What is j rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 18*a - 33. Let g be t(-16). Let j = -463 + -137. Let o be (-1*12)\/(g\/j). Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 24*k + 66. Let m be ((-335)\/134)\/((-10)\/(-8)) - (3 - 2). Give b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1189 by 4.\nAnswer: -1189\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102010020010 - 2022?\nAnswer: 1102010010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6675 divided by -18704?\nAnswer: 6675\/18704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 38582862.\nAnswer: 1\/38582862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 53*v - 14. Is q(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*l + 12 = 0, 0 = 22*p - 18*p - l - 9. Let a(c) = 2*c**2 + c - 1. Calculate a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 - 3 - 4*m**2 + 6*m - 3*m. Let d(r) = 3*r + 3. Let f be d(-2). Let n(x) = 15*x**2 - 5*x + 5. Let j(b) = f*n(b) - 5*a(b). Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -23*b**2 + 64*b + 2923. Give t(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6702394?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 25. Let h be z(9). Calculate the remainder when 84 is divided by 31 - (4\/h - 4 - -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/2 - 3866167*x\/2 + 7732326 = 0.\nAnswer: 4, 3866163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 2, -30 in ascending order.\nAnswer: -30, -9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -262, -248, -230, -208, -182?\n\"Answer: 2*l**2 + 8*l - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, 5700 in ascending order.\nAnswer: -5, 23, 5700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/375095 and -26\/245.\nAnswer: 375095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 m, and 1 p when four letters picked without replacement from mamhhmpphmamp.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -9, -2, 5, 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 5*x + 3. Let j be q(-5). Suppose j*o = -o + 28. Calculate the highest common divisor of 77 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 18*h + 1375. What is the remainder when 546 is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1208, 3, -1, 6, 5 in descending order.\nAnswer: 1208, 6, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/(-20) - 12\/15. Solve -5*o - z*a - 25 = 0, 0 = -3*o - 0*a + 2*a - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccllcccccclcc. What is prob of picking 1 l and 1 c?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.777726 rounded to two dps?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53059.64 millennia to centuries.\nAnswer: 530596.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2016264 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:19 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2183 at least as big as -2182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288) + ((sqrt(288) - sqrt(288)*-2)*-2 + sqrt(288) - sqrt(288)) - sqrt(288)))\/sqrt(9) - (4 + (sqrt(800) + 3)**2).\nAnswer: -813 - 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 8, 4*f = 5*f + 5*t + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 96756.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11663, 29, -3 in descending order.\nAnswer: 29, -3, -5, -11663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28)\/sqrt(4) + 3)**2*6.\nAnswer: -24*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 0.5, 0.3, -1\/2 in decreasing order.\nAnswer: 0.5, 0.3, -1\/2, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2345*l**5 + 1921*l**2.\nAnswer: 140700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5866 and 0.8878.\nAnswer: 5207.8348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 2\/3, 2\/11, 0.306?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 6, g: 5, w: 3, o: 1, i: 3}. What is prob of sequence iwt?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305946.\nAnswer: 2, 3, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuvofu. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: f1ac37 (base 16) to base 9\nAnswer: 32720010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(195\/(-6))\/(-5). Suppose -5*o = -2 - k. Solve o*i = 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69755 and 132845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.5, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2304121673371 + 0.4.\nAnswer: -2304121673370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:44 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7028 and 944764.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3135627 (base 9) to base 7.\nAnswer: -20153554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.42 + -1.2. Let j = x - 2.22. Sort j, -1, 3 in ascending order.\nAnswer: j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 14*c - 11. Suppose -10*v = 4*l - c*v + 59, 2*l + 32 = -2*v. Which is greater: l or -22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(170)*-1)\/(sqrt(1440) - (sqrt(1440)*-2 + sqrt(1440)) - sqrt(10)))**2 - (-2*sqrt(17)*5 + (sqrt(102)\/sqrt(6))**2*5)) + -5.\nAnswer: -46998\/529 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*t + 25. Let j be t + (11 - 15\/5). Solve 3*s = 3 - 12, j*c - 3*s = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5016)\/(-285) + (-4 - 9)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - 61*r**3 + 3*r**2 + 2 - 32*r**4 + 5*r + 63*r**3 - 7*r as l*r + s*r**2 + c + p*r**3 + a*r**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1951*p + 1083*p - 681*p)*(-1 + 3 - 5)*(-4 + 4 - 4*p) + p - p - 2*p**2 to k + y*p**2 + q*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17404824 to the nearest integer?\nAnswer: 4172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) -12 (c) -41831 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116879551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -2.1. Sort 3, s, 0.4 in decreasing order.\nAnswer: 3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*j - 351 = 353*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/8 - 741*w\/8 - 460.\nAnswer: -(w + 5)*(w + 736)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 + 116*l**2 - 261*l - 3. Let g(p) = -8*p**3 + 224*p**2 - 521*p - 7. Let u(z) = -3*g(z) + 7*o(z). Factor u(r).\nAnswer: -4*r*(r - 33)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70917 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 718681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 511917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(0 - 3)\/3. Suppose 0 = 2*q + 2*o - 6, 5*o = -4*q + z + 3. Suppose -5*x + 0*k + 36 = -3*k, -4*k + 22 = q*x. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813289585?\nAnswer: 5, 19, 127, 67409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139475.7nm in centimeters?\nAnswer: 0.01394757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + q)*((4 - 6 + 0)*(-1 + 1 - 2) + 1 + 1 - 1 + (1 - 4 + 2)*(-10 - 12 - 12)).\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(2\/5))*a\/((a\/(a*a**14*a*a))\/a) assuming a is positive.\nAnswer: a**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 6*f. Suppose 4*w = 4*a - 4, a - 10 = -f*w + 1. Let v be 2 + -4 + (a - 1). Let r(l) = -l**2 - l + 9. Determine r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + n - 35 = 0, -n + 4*n - 42 = 5*u. Let o(p) be the third derivative of p**5\/60 + 5*p**4\/24 + p**3\/6 + 6*p**2. Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 12, -14, -50?\n\"Answer: -5*i**2 - i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -13. Let x = i - 6.17. Round x to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.918622 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 51, -41, 0, -4 in decreasing order.\nAnswer: 51, 7, 0, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 10349*s.\nAnswer: -s*(s + 10349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*u - 254*u - 920 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 3 + 8)*(4*j**5 - 5*j**5 - 13*j**5) + j**5 - 3*j + 3*j.\nAnswer: -265*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 3*s - 3. Let u(q) = -q**2 - q + 1. Let m(f) = -2*g(f) - 5*u(f). Is m(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130104 * 3\nAnswer: -390312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4923.7 and 1497968.\nAnswer: 1502891.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -748, -1520, -2292, -3064, -3836?\n\"Answer: -772*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*y - 6 = 0, 19 = -5*c + 2*y - 2. Let z be 3 - (0 - 0) - 1. Let l(n) = -4*n**2 + 3*n - z + 2 - 5 - n**3 + 4. Give l(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-14)*140\/124. Let b = w - 275\/124. Let i = -44 - -398\/9. Sort 0.5, i, b in ascending order.\nAnswer: b, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2266 divided by 1133?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 - 188. Let w be 21\/(-7)*2 - j. Solve -4*o + 8 = -w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 22 = -2*s, 0 = -5*s + s + 379*h - 393*h + 118 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3044 - -24333140?\nAnswer: 24341234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22886.6 - 13935850.\nAnswer: -13958736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*h - 5825 = -953. What is the remainder when 1510 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4620*z**3 + 9*z**2 - 2*z + 8 wrt z?\nAnswer: -27720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g. Let p be 7\/((-14)\/(-12)) - (1 + -1). What is the third derivative of 0*r**4 + r**2 + 0*r**4 + g*r**5 + p*r**5 wrt r?\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 5*f + 136, -2*y - 3*f + 97 = 0. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -147*n**2 - 6615*n - 907485. Let z(o) = 39*o**2 + 1654*o + 226871. Let s(i) = 4*k(i) + 15*z(i). Factor s(p).\nAnswer: -3*(p + 275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 39*u = 500. Calculate the greatest common divisor of 425 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -9 - 2) + 5 - -12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*y - 4. Let x(d) = -480*d - 1436. Let w be x(-3). Suppose -2*s = -0*s - v - y, s - w*v = 7. Solve -s*k + k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 430\/35 + (-4)\/14. Suppose 3*f + 11 = 4*t - 2, -2*f + 14 = 3*t. Solve u = -4*k - 4*w, 3*k + f = -w - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*s**2 - 70*i**3 + 300*i*s**3 + 5*i with respect to s.\nAnswer: -4*i**3*s + 900*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 5. Let b be j(7). Let n be ((-20)\/(-12) - b) + 2\/24. Which is smaller: n or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-405)\/72)\/(6\/(-8)). Let g = 122\/9 - y. Let r = 2935 - 93891\/32. Find the common denominator of g and r.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 605*p**6 - 814*p**2 wrt p.\nAnswer: 72600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2555 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = o - 13, o + 5 = 5*j - 4*j. Find the common denominator of (-111)\/22*o\/(-6) and ((-177)\/(-48))\/(30\/(-12)).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -718 - -716. What is the second biggest value in y, -1.5, 0.02?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 26*w - 9. Let l(h) = -13*h - 3 + 1 + 7. Let x(c) = 5*l(c) + 2*n(c). What is the derivative of x(p) wrt p?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -726567, -726568, -726569, -726570, -726571, -726572?\n\"Answer: -k - 726566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2704535.6 to the nearest 1000.\nAnswer: -2705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.518 + -1.518. What is the third smallest value in 63, -0.4, p?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -50 + -28 + 47\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 - 11. Let b(x) be the second derivative of -x**4\/12 + x**2\/2 - x. Suppose 11*l + 121 = 0, 2*l + 921 = -f + 877. Calculate f*b(a) - 2*u(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 28, -59, 1\/59, 2, 5\/3, -5, -4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Suppose -d*f - v = -6213, -2*v + 4*v - 1239 = -f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 10. Let s = 90 - 90. Give r(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 26 + (27 - (-2068)\/(-44))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -374*w. Let d(v) be the first derivative of -17*v**2 + 271. What is -34*d(h) + 3*s(h)?\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28926 + 59511\/2. Let t = 800 - f. Let p = 82\/111 - 12301\/1776. What is the common denominator of p and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 26d0?\nAnswer: -26c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642746 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6441\/3955 + 20\/(-14). What is the third smallest value in 1\/14, -0.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239217317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o + 2*a, 0*a - 14 = -2*o + 4*a. Suppose -3*t - 17 = -2*l, l + 2*l - 4*t - 24 = 0. Suppose l*c - o*f = 115, -2*f = -0*f - 10. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**3\/3 + 7*p**2 - 14*p - 1. Suppose -432*k + 403 = -401*k. Let l be g(k). Put -1\/3, -0.3, l, 4 in increasing order.\nAnswer: l, -1\/3, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/13*(74\/444)\/(1\/2)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10142.\nAnswer: 2, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/13)\/h**(2\/7))**(4\/9) assuming h is positive.\nAnswer: h**(8\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h. Let s(a) = 1437*a + 2. Calculate o(s(c)).\nAnswer: 14370*c + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*n + 123, d + n = 5*n - 129. Let p be (8\/(-20))\/((-1)\/d). Let j = p - -130. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**3 - 3*a**3 - 2*a**3 + (-4 + 4 + 2*a)*(a**2 + 4*a**2 - 4*a**2) + 2*a**3 + 0*a**3 + 3*a**3 - 3 + 3 - 6*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/15)\/3 - 2. Let a = -42.03 - -46.03. What is the closest to t in -1\/8, 0.05, a?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36878 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0219 - -2.0219. What is the second biggest value in -0.4, a, 31?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1030 + -995. Put 0.3, h, 0.2 in decreasing order.\nAnswer: h, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78170897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, -0.10326, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20510920?\nAnswer: 2, 5, 181, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-1) + (-2)\/2. Let a(t) = 32*t + 110*t - u*t. Let i be a(1). Calculate the greatest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i + 4*n, -5*n - 9 - 3 = -4*i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/(21\/4410)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230059534 to the nearest integer?\nAnswer: 35072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311 a factor of 391774446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 11:01 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.143, 3, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 126. Suppose 4*p + 5*s - 4281 = 0, 3*s = -4*p + 4310 - i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**5\/20 - c**4\/2 + 7*c**2\/2 + 6*c + 26. Let w(h) be the first derivative of t(h). Determine w(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -417452489*t**4 + 235676737*t**2 wrt t?\nAnswer: -10018859736*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6292966 + 4111865. Let d = -6304101 - c. What is d rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvggggdnngnnndz. Give prob of picking 2 g and 1 n.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5789*l**3 + 11617*l**3 - 5790*l**3.\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16332554 - 0.04367?\nAnswer: 16332553.95633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**4 - 585*i**3 - 89135*i**2 - 518475*i - 769410 = 0. What is i?\nAnswer: -83, -3, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = -5. Let o = -17\/52 + 1\/13. Which is bigger: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:37 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19900? (a) -5\/4 (b) -1 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3664 divided by 916\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 17\/8, 23, -11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/((-126)\/(-672)) - 4\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:31 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 2*q)*((3*q + 2 - 2)*(q - q - 2*q) + 52*q**2 - 2*q**2 + 21*q**2).\nAnswer: 65*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10110?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 4*u**3 - 3*u**3)*(6*u + 3*u - 2*u) + 3*u**4 + 5*u**4 - u**4.\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 82, 24, -110, -350?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 81640000 to the nearest one million.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coc when three letters picked without replacement from ooooccoccoccc?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 6*k**2 - 2*k - 17. Does 6 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4)*i)**3)**44 assuming i is positive.\nAnswer: i**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 14*u**2 - 13*u - 1. What is t(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2746483 and 73\/12?\nAnswer: 32957796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/9 (b) -0.048 (c) -2\/343 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a - 4*a + 5*a)*(-4 + 0 + 2).\nAnswer: -2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.1053?\nAnswer: -0.04212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 7, e: 2, g: 3, p: 4}. What is prob of sequence ggpg?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 393 and 9.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5304)\/(-378) - (7 - 2). Let x = -80\/9 + h. Which is the nearest to -0.04? (a) -1\/9 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -4*t. Let z be (-2 + t)\/(5\/35). What are the prime factors of 0 + z*-3*2?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 35 = -83. Factor 3\/2*a - 1 - 1\/2*a**g.\nAnswer: -(a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146012 (base 8) to base 13\nAnswer: 1aa10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1127 and 43079?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1168 and -99\/16.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/5 (b) -0.6 (c) -19 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 48*l**5\/5 + 155*l**2\/2 + 66*l + 2. Find the first derivative of u(z) wrt z.\nAnswer: 576*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 4*r + 3*r + 2*r + 2*r - 6*r + (-1 - 2*r + 1)*(6 - 5 + 1) + 8 - 45 - 10*r + 11*r.\nAnswer: -r - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, o: 1, w: 8}. What is prob of picking 2 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 381, 707, 1033, 1359?\n\"Answer: 326*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*u - 3, 4*a + 5*u = -a + 15. Let x be ((-28)\/(-21))\/(a + 34\/(-12)). What is the greatest common divisor of 28 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405) + (3*sqrt(405) - sqrt(405)))**2*-4*-5.\nAnswer: -3240*sqrt(5) + 73080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.179, 0.2, -1, 0 in ascending order.\nAnswer: -1, 0, 0.179, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-210)\/270*-9 - (-107)\/(-15). Which is the second smallest value? (a) -0.15 (b) -22 (c) m (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3125714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:07 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 34*s - 348. Calculate t(-22).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2\/12 - 13\/(-18)*537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-144)\/84)\/((-2)\/14). Suppose 16 = -2*r - 4*v, -10 = 9*v - 7*v. Find the third derivative of 126*m**2 - z*m**4 - 156*m**r - 14*m**4 wrt m.\nAnswer: -624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 278 + 42?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 - 278*j - 19321 = 0.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 495.4774cm?\nAnswer: 4.954774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c - 178. Suppose 1050 = -182*p - 743 - 1665. What is l(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36838060 rounded to the nearest one hundred thousand?\nAnswer: -36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82257825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 9*z**3 + z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**2 - 1581498*z - 208427993667 = 0.\nAnswer: -263583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 2}. What is prob of sequence lf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*m - 3 + 3)*(1 - 4*m**3 - 1) as v*m**2 + z*m**4 + a*m**3 + o*m + s and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 4, w: 4}. What is prob of sequence wbd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4*d + 1. Let o(y) = 1 + y + 1 - 2 + 8. Let q be o(-5). Let g be k(q). Solve -c - g*c + 17 = 3*f, 4*f + c = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2135 divided by -40946\nAnswer: -2135\/40946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h**2 - 3*h + 96. Is d(-7) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (11 + 1 + -10)) + -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 53288.\nAnswer: 266440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -268.\nAnswer: -267.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14*-7*4\/(-56)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-12) - (-15)\/(-60). Are 30\/13 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 8*d + 7. Let b be m(-5). Let o = 19 + b. Calculate the remainder when 0 + -2 + (-22)\/(-1) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/2))\/i)**(-9\/13)*(i*(i\/(i\/i**1))\/i)**(-42) assuming i is positive.\nAnswer: i**(-1101\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 24892 = 181718. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 278*n - n**2 - 295*n - 757*n as m*n + r + y*n**2 and give m.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 74*r + 2. Let s(p) = 78*p + 3. Determine 5*s(x) - 6*v(x).\nAnswer: -54*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*a*m**3 + 47*a*m**2 - 104*a*m + 2*a + 54*m**3 + 172877*m wrt a?\nAnswer: 23*m**3 + 47*m**2 - 104*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 191 + 34. Let p = i + 271\/6. Let q = -0.3 + 0.2. What is the third biggest value in q, p, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 1, v: 2, m: 1, f: 2, i: 2}. Give prob of sequence fiim.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/11 + 2*k**3\/11 + 164*k**2\/11 + 160*k\/11 = 0. What is k?\nAnswer: -8, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:49 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/(-8) - (-2)\/(-8). Suppose l - 12 = -3*l. Let o be 6\/(((-9)\/d)\/l). Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348603 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -16487718?\nAnswer: 16487721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -110, -166, -222, -278?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:07 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -310160, 7 in descending order.\nAnswer: 7, 2, -310160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1735)\/(-1388))\/(1*(-10)\/(-144))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-3 + (-18)\/(-3). Let t(l) = z - 2 - 2. Let i(h) = -h. Calculate i(j) - 2*t(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 1419, 3051, 5283, 8103, 11499, 15459?\nAnswer: 19971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0413 - -0.2413. Which is the smallest value? (a) g (b) -2\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*((-6)\/(-21))\/(29\/(6902\/(-51)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-5)\/(40\/136))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(364\/70)\/13. Let x(r) = -9*r + 40. Determine x(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 6:35 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*z + 1, 2*z + 2*o = 7*o + 29. Suppose v = -2*v. Solve v*c = z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1390.8 - -1391. Put z, -2\/5, -23 in ascending order.\nAnswer: -23, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -60?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85553547.\nAnswer: 3, 3529, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9*h - 160 = 6*h, 0 = 4*h. Suppose z = -4*n + 40. Let j(v) = v - 3. What is j(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259150947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/25))**21)**(-16) assuming i is positive.\nAnswer: i**(672\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and 17?\nAnswer: 4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67291477 or 67291476?\nAnswer: 67291477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 318 = -2*w, -3*w = 3*f - 243. What is the lowest common multiple of 20 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 92181.7406 to the nearest one thousand.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -8. Let b = 1\/2672 + -2675\/8016. Suppose -s = -3*z + 3, -2*z - 5*s - 15 = -4*z. What is the closest to b in r, 2\/17, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 12*r + 6*r - 17*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let y(o) be the first derivative of 3*o**2 - 5*o - 134. What is b(y(q))?\nAnswer: -72*q**2 + 120*q - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-4)*324\/(7 + -13). Calculate the greatest common factor of f and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-85)*25\/40)\/((-10)\/20)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 32\/4)\/((-18)\/(-15)*20)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/55 - -8\/55. Let w = 34 + -34.1. Sort 1, h, w, 0.4 in ascending order.\nAnswer: w, h, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218635757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:40 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 100*m - 16. Let l be o(1). List the prime factors of 168\/(-9)*(-2376)\/l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3085441249.\nAnswer: 11, 71, 3950629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-1\/4))**(1\/36)*(v\/(v*v**(-3)\/v))\/(v*v**(1\/2)\/v*v*v)*v*v**6*(v*v\/v**(-8))\/v assuming v is positive.\nAnswer: v**(1261\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -39. Let d(k) = 15*k + 4. Let g(y) = 29*y + 9. Let c(m) = q*d(m) - 4*g(m). Let x(o) = -o. Give c(x(i)).\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1021, 7285, 24243, 57229, 111577, 192621?\n\"Answer: 889*i**3 + 13*i**2 + 2*i + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96491376.\nAnswer: 2, 3, 47, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-44 + 320336\/7280)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 5*v - 90. Let n = v + 41. Put -5, -2, n in increasing order.\nAnswer: -5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -2441, -8295, -19693, -38483, -66513, -105631, -157685?\nAnswer: -224523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 143. Calculate the lowest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -4*i - 22*z + 10507, -5*i = -5*z - 13130. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1809*b + 686*b + 180*b)*(-2 + 0 + 1)*(-b + 2*b**3 + b).\nAnswer: -5350*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3*r - 3. Let z(g) = 9*g**2 + 12*g - 28. Give 5*x(p) - z(p).\nAnswer: -14*p**2 + 3*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -72 + 19 - 77. Let i(z) = -4*z. Let s be i(-4). Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3 - -88) + -2595 + 2577\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(40 - 14780\/370).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w - 3600 = -253*w - 167*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 23*n**2 - 147*n + 161. What is s(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 28*o**2 - 5*o + 257. Let c be z(28). Suppose 5*k - 45 = 4*y, 6 = -0*k + 2*k - 4*y. What is the greatest common factor of c and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70, -59, -128, -349, -794, -1535?\n\"Answer: -12*g**3 + 32*g**2 - g - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(448))**2 + 4 + -1.\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 325*u**3 + 1312*u**2 - 1316*u.\nAnswer: -u*(u - 2)**2*(u + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1969 + 0.5969. Let t = 26.1 - 26. Which is the closest to t? (a) 33 (b) 1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374450 divided by -66?\nAnswer: -20825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/(h\/(h\/(h**(-2)*h))))**(-6\/13) assuming h is positive.\nAnswer: h**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2852\/7130 + ((-1066)\/(-10) - (3 - 2))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79162 - -27975. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 928*d**3 - 10532*d**2 - 38688*d - 46656.\nAnswer: 4*(d - 243)*(d + 3)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2990*s + 2975*s + 45 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 69?\nAnswer: -5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-786)\/2*(34\/(-3) + 8).\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -362*l + l**4 - 858*l - 560*l - 761*l + 409*l - l**2 - l**3 - 1 as o*l**4 + s + m*l + r*l**3 + w*l**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -220130 - 1521?\nAnswer: -222051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 954\/3*2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*z + 5*h, -68 = -4*z + z - 5*h. Let u = 20 - z. Suppose 4*f - 139 = -u*p + 7*f, 5*f = 15. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -199*g + 207*g - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4 - -5) + (0 - -7). Let w(h) = 3*h + 7*h + 8 - 5*h. What are the prime factors of w(p)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4547.462057 to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 g when three letters picked without replacement from adllladdzalgl?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/12)\/(3\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3597791369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/79 in -4, 1, -2\/7, 5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:17 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 7 - -9 - (-2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/11 (b) -11 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154379 and 8876.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 31*s - 31*s + (s**2 - 2*s**2 + 0*s**2)*(-11 + 0 + 1) - 2*s - s**2 + 2*s.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (-32)\/24.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 + 96 + 21*u**2 - 96 - u**2.\nAnswer: 9*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2159.115 to the nearest ten.\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 6*o**2 - 2*o + 6. Let i(p) = -p**3 + 7*p**2 - 2*p + 7. Suppose 0 = u + 22 - 15. Give u*q(t) + 6*i(t).\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -6 (b) 0.08 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 8) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 63*q + 411. Calculate the remainder when r(-7) is divided by 95.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5565 - 5731 = -2*k - 4*b, -5*k - b = -28213. Calculate the highest common factor of 31 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10\/59 (b) 0 (c) -165 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**2 - 190824*s - 190820 = 0.\nAnswer: -47705, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from pccccpccccc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/345 and 29\/23.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -63. Solve -t = -n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7550835?\nAnswer: -1\/1510167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51217530?\nAnswer: 2, 3, 5, 7, 13, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t + 2. Let v(x) = 2*x**3 - 13*x + 4. Calculate -11*h(r) + 6*v(r).\nAnswer: r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*l - 20, 3*t - 4*t = -4*l - 9. Let v(u) be the third derivative of -u**4\/12 - u**2. What is the smallest common multiple of v(t) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.023 + -3.953. Which is the smallest value? (a) v (b) 4 (c) 311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/15 - 46*k**2\/5 = 0 for k.\nAnswer: 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -276 - -283. Calculate the least common multiple of (22\/(-4))\/(h\/(-126)) and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (5 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81544330 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 15 = -2*g. Solve -3*l + g = 0, -2*c + 7*l - 4*l = 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6 - 64\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147741264 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/14*(-4)\/(-141). Let h = u + -55\/188. What is the biggest value in -0.4, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 + 2.9. Which is the second biggest value? (a) l (b) -0.3 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2 - 46*y + 148. Let m be s(-21). Sort -2, -1, m, 1 in decreasing order.\nAnswer: 1, -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -5 (c) -13 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -307 times 4729\nAnswer: -1451803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -10. Let v = 13 - 15. Let l be (2*v)\/((-3)\/3). Solve a - n = l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9240*q - 46359. What is y(5)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 14*i**5 - 3*i**5 + (0 + i**3 + 0)*(-4*i**2 + 3*i**2 - i**2).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*a + 9, -3*x + 8 = -2*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-341)\/(-44) + (-21)\/3)\/((-63)\/120). Which is the fourth biggest value? (a) -0.3 (b) 18\/11 (c) m (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzv when four letters picked without replacement from kzkdozvkzvkozo?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/30 - 3*t**2. Let z(y) = -90 + 90 + 10*y**2. Calculate m(z(g)).\nAnswer: -200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27 - (-20 + 3)) + 8139.\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/2*(-7 - (-125)\/20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2. Let i(y) = -y - 14. Determine -i(o) - 3*k(o).\nAnswer: o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - w + 4*u - 17, 4*w + 4*u - 16 = 0. Which is the nearest to w? (a) -1\/4 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 988.4 - 988. What is the smallest value in -14, -1, a, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*d - 312. Let n = d - 29. Let l = n - -23. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09819 - -0.55181. Which is the smallest value? (a) 5 (b) n (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 + 0*u**2 - u**2 + 467*u**3 - 470*u**3 to c + y*u**2 + j*u**3 + f*u and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/26245 and 101\/9570?\nAnswer: 1732170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-22))\/((-3)\/14). Suppose 3*r = 14 + k. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 - 1. Let j be c(-1). Let a be (1 - 1)*3\/j. Let v = 8 + -6. Solve a = 2*y - v - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*t - 78802 = -29477 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -272 in -3\/2, 273, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 5915*j**2 + 1746400*j + 1752320.\nAnswer: 5*(j - 592)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 6*h - 23*h)*(-1 + 1 + 5)*(4*h**2 - 4*h**2 + 2*h**2) + (-4*h + h + 4*h)*(0 + 0 - h**2).\nAnswer: -281*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:38 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51087904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -393, 4, 237 in increasing order.\nAnswer: -393, 4, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 = -4*n + 355 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10167 is divided by 441.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/54151 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 4*w + 58, 963*w = 4*k + 961*w - 36 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 5)*(-18*n + 34*n + 22*n) to the form j*n + h and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 3. Suppose 10*m - t*m = -8. Let q(s) = 6 + 0*s**m - 5*s**2 - s**2 - s**3 - 7*s - 2*s**2. Calculate q(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6750 and 5.\nAnswer: -33750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000095302826 to 6 dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/198*11*-6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2101*q + 2121*q + 107 - 4226*q)*(2*q - 2*q + q)*(-4 + 5 - 2) as x*q + z*q**2 + l and give x.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 - 336 = -4*i + 2*t, -2*i - 5*t + 232 = 0. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5730 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11600, 92663, 312696, 741185, 1447616?\n\"Answer: 11581*z**3 - z**2 - z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 135 + 2bda5?\nAnswer: 2beda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7369127ml in litres?\nAnswer: 0.0007369127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -0.0813, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-22) + (424\/(-88) - -5). Let r be ((-16)\/(-6))\/2 - (-4)\/(-12). Sort -1, r, o.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*d**2 + 270*d**2 - 47 - 42*d**2 + 46.\nAnswer: 438*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -5*z**2 - 1\/3*z**3 - 6*z + 1. Let k(c) = c**2. Calculate k(j(v)).\nAnswer: 4*v**2 + 40*v + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 761, 3062, 6897, 12266?\n\"Answer: 767*u**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1177, -4794, -10835, -19294, -30165, -43442?\n\"Answer: y**3 - 1218*y**2 + 30*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + q - 438. Let o be p(0). Let h = 293 + o. What is h rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -5.\nAnswer: -5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.87 - -0.13. Let x = -3 + w. Put 0, x, -0.5 in decreasing order.\nAnswer: x, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + s**2 + 3*s - 8. Let u(n) = -29*n + 645. Let k be u(22). Let m(t) = -4*t**3 + 2*t**2 + 7*t - 16. What is k*d(h) - 3*m(h)?\nAnswer: -2*h**3 + h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 2\/9, 0, -22, -11, 2529?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -20 + 2 + -8 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 831080.\nAnswer: -21\/166216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 446721.3mg?\nAnswer: 446721300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 minus 5?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/6, -49, 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 67252 = -4*j - 3210702, 2*j = 5*p + 16389682. Let v = -1206294319\/368 - p. Let m = 693\/23 + v. Find the common denominator of m and 47\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 933*o**2 + o + 1. Let c be z(-3). Suppose -c = 2*p - l + 15247, -16 = 4*l. Is (p\/14)\/(3\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11543 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 262574093 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4\/11 - 104230*g**3\/11 - 52124*g**2\/11 + 208458*g\/11 + 156348\/11 = 0 for g.\nAnswer: -1, 3\/2, 26058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 293, 295, 299, 305, 313?\n\"Answer: j**2 - j + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - 8*b)*(-3*b + 4*b - 3*b) + 2 + 3*b**2 - 2 + 2*b**2 + b - b - 1 + 1 + 2*b**2 + (b - 4*b + 2*b)*(2 - 2 - b) as n*b + q*b**2 + c and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxdenexiinioxon. What is prob of picking 1 x, 1 o, 1 d, and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 4 (c) 195\/1697 (d) 0 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2 + 8*t - 13 + 9. Let a be q(1). Let p(v) = -v + 12. Calculate p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(26 + 8 - 22)*(-8 + 8 - 4*w)*((-1 - 1 + 1)*(-1 - 2 + 2) - 3 + 0 + 4 + 5 - 3 - 5 - 6 + 2 + 2).\nAnswer: -576*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/2*c**3 + 1\/2*c**2 - 2*c - 1\/6*c**4 - 3\/20*c**5 + 0. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2. Let g(j) = 256*j**2 - 5*j - 10. Let t = 390 + -385. Let v(y) = 1664*y**2 - 32*y - 64. Let h(x) = t*v(x) - 32*g(x). Determine h(s(l)).\nAnswer: 512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21*3\/(-9)*1. Suppose z = 4*w - 5. Suppose x - w*x + 6 = 0. Solve 3*p - 2*s + 1 = -7*s, -x*p - s - 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - d - 6160 = 0, -q - d + 921 + 1131 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o = -t - 30*o + 8, -2*t - 49 = -5*o for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7395418 is divided by 230.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92 - -130?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 - 3 = -2*r, -3*b = r - 9. Let v be b*(3 - 0\/(-4)). Suppose v*i = 12*i - 480. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 41*f**5\/20 - 5*f**3\/6 - 943*f**2\/2 + 672*f. What is the first derivative of q(y) wrt y?\nAnswer: 123*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.2. Let z = -3 - -3. Let n = z - -0.4. What is the second smallest value in 2, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:36 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273955 is divided by 293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -202605 or -203008?\nAnswer: -202605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 2:35 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48592 and 3134184.\nAnswer: 6268368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3217116?\nAnswer: 2, 3, 7, 38299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.1823, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 141016*t**2 + 282024*t.\nAnswer: 2*t*(t - 70506)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -5649522?\nAnswer: -5649524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 4, n: 1, a: 1, e: 4, d: 2}. What is prob of picking 2 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348*d - 12238 + 6123 + 6118 to b*d + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o = 60*o - 1221. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1745, 3489, 5233, 6977, 8721, 10465?\n\"Answer: 1744*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371159819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81294.86 micrograms to tonnes.\nAnswer: 0.00000008129486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*r + 17 - 1 = 0, w - 3*r + 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0070171979 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -1\/3*r**2 + 0 + 0*r + 1\/3*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284473182 a multiple of 14855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 329528005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(4\/16). Solve 0 = o - 5, 3*g + 4*o = a*o - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8069, 0.06, 1, -4.\nAnswer: -8069, -4, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 27*h + 53. Let s be b(-6). Let g = s + 132. Round g to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Determine m(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483054*z**3 - 241514*z**3 - 241495*z**3 - 3*z**2 + 3*z**2.\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4 - 9*p**2 - 3*p**3 - 12*p + 29*p**2 - 18*p**2. Is d(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*h - 84. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13. Let b(h) = -h**2 + 1. Let d(w) = 6*b(w) + v(w). Let z(i) be the second derivative of i**4\/12 + i**2\/2 - 11*i. Give -2*d(g) - 14*z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34221 (base 6) to base 11.\nAnswer: -36a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 5 + -8 - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a - -13?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 651749317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(57)\/sqrt(3)*-3)*-1 + 0 + -4.\nAnswer: -6 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**3 - 7*i**2 - 7*i - 9. Let l(v) = -8*v**3 + 2*v**2 + 3*v**2 + 6*v + v**2 + 8. Let k = 6 - 0. Let p be -1*(3 + 0) + 10. Determine k*c(f) + p*l(f).\nAnswer: -2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95701 = 11*f + 17370. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*j - 12, -4*j = 2*v - 26. Suppose -2*d + 4 = 3*l - 2, -3*d - 4*l + 10 = 0. Let g(k) = 6*k**v - 5 - 5*k**3 + 0*k**3 + d*k**2 + 4*k. Give g(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - 250.099. Let h = -0.099 - s. Which is the fourth smallest value? (a) -5 (b) -8 (c) -3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 12. Let n be x(7). Let g(b) = -3*b + 11. Let p be g(n). Solve -r + 0*r = p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*w = -10, m - 2 = 2*w + 9. Let p be m*2*(-4)\/(-8). Which is the nearest to p? (a) 1\/10 (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972929, 1945859, 2918785, 3891707, 4864625?\nAnswer: 5837539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4627*b**4*g**3 - b**4 - 54*b*g**2 - 55*g**3 wrt b?\nAnswer: -55524*b**2*g**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 1, i: 1}. Give prob of sequence im.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.916. Let s = -2.916 - l. What is the fourth smallest value in s, -2\/9, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23964 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -902180 or -1?\nAnswer: -902180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 855398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 1. Let q(s) = 7*s + 1. Let d = -416 - -419. Let f(c) = d*q(c) + 5*l(c). Determine f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.4 + -0.1. Let k = -131.85 + 138. Let a = k + t. Round a to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/20 + -1\/4. Suppose 270 = -11*f + 20*f. Let t be 2 - (3 + -3) - f\/14. Sort 0.04, t, d in increasing order.\nAnswer: d, t, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5616) + sqrt(5616))\/sqrt(3) - ((sqrt(13) + 2*sqrt(13) + -3)**2 + -5*(-1 + sqrt(13))).\nAnswer: -131 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179360.37502577 - -179360.3. Let k = b - -0.075. What is k rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(-1)\/3 + 2. Solve 4*a + 5*r + 29 = h*a, -3*a - r = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-940)\/(-8))\/47)\/(((-5)\/9)\/(-1)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/477274 and -83\/457660.\nAnswer: 33409180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -66*c + 3 + 157*c - 89*c. Suppose 7*o = 4*o + 9. Let s(p) = 3*p + 5. Give o*s(l) - 5*k(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 19 = -5*f, -4*f + 34 = 2*q + 10. Suppose -q*h + 5*h = -r + 431, -2*r = 2*h - 286. What is the highest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 + 20*s**2 - 24*s - 128\/3.\nAnswer: 4*(s - 2)*(s + 1)*(s + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 + -155. What is the remainder when 1\/((5\/5 + z)\/(-13)) is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.41 - -0.47. Let j = v - -0.94. Let d = 348\/5 + -70. What is the second biggest value in j, d, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 33. Let a be r(-29). Solve -6 = a*s - s - 4*u, 0 = 4*s + u + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-91)\/(-39))*3\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 + 209. Let p = 5 + -5.06. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 9. Let f be (-2)\/((3 + -6)\/b). Let x = 4 - f. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, 0.2, 2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, d: 3, b: 2, a: 2, t: 2}. What is prob of sequence df?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c + 3. Let s be r(7). Let b = -6584 - -6587. Sort s, b, -1 in increasing order.\nAnswer: s, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/120 + b**5\/15 - b**4\/8 - b**3\/2 - 54*b**2 - 4. Calculate d(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8118000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j - 1 + (-j - 2 + 2)*(-1 + 1 + 1) + 1 - 1 + 2*j)*(58 + 3 + 103)*(0 + 4 - 3).\nAnswer: -164*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13911 = 163*x - 14563 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let w**3 - 3*w**2 - u*w - 2 + 5*w + 1 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9213.47 minus 4.919401?\nAnswer: -9218.389401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*b*s**3 + 65*b*s - 24052*b + 2 wrt s?\nAnswer: 198*b*s**2 + 65*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/24 - (-624)\/576. What is the closest to 1 in -2, 1.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/((-3)\/((-27)\/(-2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 2*w**2 - w - 2. Let t be d(2). Suppose -t = -2*u - 3*u. Sort 0.1, 3, u in decreasing order.\nAnswer: u, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 16 = -14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45450 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**18\/(c\/(c**4\/c)*c\/c**(-5)) assuming c is positive.\nAnswer: c**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 2 + sqrt(2736) + 2) + (sqrt(2736)*-2*-5 + 4)*6)**2.\nAnswer: -38880*sqrt(19) + 7979076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from kkkuuuzuuknk?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w**3 - 84*w**3 - 169*w**3.\nAnswer: -214*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 - 11*k**4 + 5*k**4)*(0*k - 5*k + 3*k) + 2*k**5 + 6*k - 6*k.\nAnswer: 24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-6)\/5 - -1816?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) + (-5 - 0)\/(-15). Factor -24*j - 7 - 1 + 14*j - n*j**2.\nAnswer: -2*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 0*v + 4 - 6*v + 0*v**2. Let i(l) = 2*l - 32. Let k be i(13). What is the units digit of n(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-195)\/52*(-8)\/24. Put -1\/35, 2, t, -2\/3 in decreasing order.\nAnswer: 2, t, -1\/35, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 4*k. Let t be f(-2). Suppose 6*a = -t*p + 2*a + 8, 2*a + 4 = 2*p. What is j in 2*j**4 - 8*j**3 + 4*j**2 + 5*j - 8 + 2*j**p + 3*j = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 37. Let s be v*1*(-9)\/(-18). Let u = s - -11. Solve -u = -2*r - 4*a - 0, 0 = 2*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from lffmmmmlmlff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -44, -62, -92, -140, -212, -314?\n\"Answer: -k**3 + 3*k**2 - 14*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -9 + 49. Let i be ((-6)\/s)\/((-3)\/15). Suppose -4*d + 90 = -0*l + i*l, -2*d = 0. Calculate the highest common divisor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiriirrrii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*u - 2)*(-u - 2 + 2) - 12*u**2 - 7*u**2 + 4*u**2 + 6*u**2 - 5*u**2 - 3*u + 2*u.\nAnswer: -17*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431627893.\nAnswer: 3, 3259, 82903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.48 - -0.28. Let u = 0.49 + 0.01. What is the closest to -1 in u, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:21 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56690215 to 4 decimal places.\nAnswer: 0.5669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79686 = 18*k + 39*k. What are the prime factors of k?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1011, -4260, -9829, -17844, -28431, -41716, -57825?\n\"Answer: -21*j**3 - 1034*j**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03725681 to four dps.\nAnswer: 0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/77*7*(-3)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 15405?\nAnswer: 30810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148436839 * -4.\nAnswer: -593747356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndtttvtttddtttnt. What is prob of picking 2 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896225?\nAnswer: 5, 11, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11110101101011010 (base 2) to base 3\nAnswer: -20101112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4)\/(-4) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 42. Let j = 243 + -2. Let d = -87 + j. Calculate the highest common factor of b and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5628460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 84 = -59 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307313433 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.083 + 1.917. Which is the nearest to u? (a) -3 (b) 11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 2 - 2 + (-2 + 1 - 2)*(0*l**2 - 2*l**2 + 4*l**2) + l**2 - 3*l**2 + l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 - 255*j**2 + 13212*j + 13468 = 0.\nAnswer: -1, 74, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 980.4+-88.01\nAnswer: 892.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1\/2 (c) 81 (d) 0 (e) 1476 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqq when three letters picked without replacement from ddquqqdqqqudqq?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -0.4. Let i = -0.86 - -0.8. Let n = -326 + 331. What is the nearest to i in n, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/4)*m*m)\/m)**(-17)*m**(-2\/7)\/(m\/(m**8*m)))\/((m*m**(-1))**(3\/20)*(m\/(((m\/((m\/(m\/m**(1\/5)))\/m))\/m)\/m))\/m*m*m*m**1*m) assuming m is positive.\nAnswer: m**(-2483\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2440 - 2447. Is z less than or equal to -25\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 3*v**2 + 6*v + 89. Let s be x(-5). Let m(q) = -4*q + 11. Determine m(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7766269 decades?\nAnswer: 93.195228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 6*r - 36. Suppose -7*d + 52 + r = 0. Suppose 0 = 8*f - d*f + 12200. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35\/108 + 2\/27. Let d = -11.8 - -16.8. Let f = -15 - -11. What is the nearest to r in 0.3, f, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 - -177. Solve -l = 5*k - 0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9096 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364, 1128, 3200, 7234, 13884?\nAnswer: 23804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 40*h - 36.\nAnswer: -4*(h - 9)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 88*f**5 - 272*f**4 + 266*f**3\/11 - 6*f**2\/11 = 0.\nAnswer: 0, 1\/22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**(-6\/5)))\/x)\/x*x*x**23*x*x)**(-3\/8))**(2\/71) assuming x is positive.\nAnswer: x**(-171\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19748, -39494, -59240, -78986?\nAnswer: -98732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010010 - 11?\nAnswer: 111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30 and 7\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.84, -1\/90, 0.01, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8334290, -16668568, -25002846, -33337124?\n\"Answer: -8334278*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 343155204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, h: 6, r: 2}. What is prob of picking 1 h and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.266322 rounded to 2 decimal places?\nAnswer: -36.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52043*r + 635*r**3 - 52043*r.\nAnswer: 635*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(4\/3)*w*w)\/(w\/w**5))\/(w*w\/w**(-1\/4))**29 assuming w is positive.\nAnswer: w**(-703\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 - 94 - 147 = 37*a. Is -298\/19 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 - p + 6. Let m be d(0). Let w = 19 - m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 0*a**2 - a**2 + a**3)*(-23 + 19 + 71) in the form t*a**3 + h*a**2 + k*a + i and give t.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8910 and -1\/16335?\nAnswer: 98010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7715187 is divided by 7801.\nAnswer: 7799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**2*p - 10*j**2 - 12*j*p**4 + 6*j + 2*p**2 wrt p?\nAnswer: -4*j**2 - 48*j*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/g)**1*(g**(2\/21))**(1\/9))**(-49) assuming g is positive.\nAnswer: g**(-2660\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 764 - 667.6. Let v = l - 96. Let x = -4 + 4. What is the closest to -0.1 in 2\/7, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Suppose 3*m + s*m = 5*m. Suppose m = 11*p - 2700 + 313. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*c + 72, 0*b - 2*b = -3*c - 124. Suppose -41*x - b = -49*x. Solve 3*o + 6 = -2*t + x*o, 13 = 5*t - 3*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from atututmtattttutautt.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(17) + (sqrt(2057) + 0 - sqrt(2057)) + -6*(0 + sqrt(1088)).\nAnswer: -47*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - d - 1. Let v be h(-1). Let f = v + 17. Calculate the greatest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -21*w + 265 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (9 + 22 + -57).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 (base 8) in base 2?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/360 - 85*s**3\/3 - 166*s. Let f(l) be the second derivative of z(l). Let h(t) = -187*t. Give h(f(o)).\nAnswer: -187*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {s: 1, m: 2, z: 10, g: 1, n: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 81*p**3 - 6*p**2 + 6*p - 2. Calculate r(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16178397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 8, 16, 26, 38?\n\"Answer: g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4 + -2)*(-310)\/93.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92.5? (a) -2\/21 (b) -334 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4872 is divided by 55?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-75)\/(-3)*(-2 - (-13)\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/(y*y\/((y*y*(y*y\/(y*y**12)*y)\/y*y*y*y)\/y)*y))\/y*y*y*(((y**7\/y)\/y)\/y)\/y)\/(y\/(y\/((y*y**(1\/2)\/y*y)\/y)))**(-2\/127) assuming y is positive.\nAnswer: y**(-380\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**22)\/y*y*y**5*y)**49 assuming y is positive.\nAnswer: y**1470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -13 + (-16 - (-9 - 33)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1017 + 0.038. Round o to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1*2 - 6. Let r(y) = y + 9. Let d be r(z). Suppose 0 = -5*m - d*o + 81 + 51, -m = 5*o - 8. Calculate the highest common factor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-32)*y)\/y*y**(8\/7))\/((y**(-43)\/y)\/(y\/y**(-3\/29))) assuming y is positive.\nAnswer: y**(3298\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145302 and -4.\nAnswer: 581208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let h = 4 - o. Let y = 30131\/316155 - 1\/15055. Is h != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323563 (base 10) to base 5.\nAnswer: -314323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*n + 9. Let v be 18\/6 - 28\/(-22). Let h = v + -41\/11. Which is the biggest value? (a) -0.1 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/769 (b) -4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 736 - 735.8. What is the nearest to -8 in -2, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 3\/5, 143, -0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*1*sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) - -3*sqrt(91)*2))))))\/(1*1*sqrt(700)*1))**2.\nAnswer: 1872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/269 (b) -0.07 (c) -3 (d) 4 (e) 2 (f) -2 (g) -2774\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:24 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*q - 94*q - 8 = 0. Which is greater: 0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 44 = -116 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 - 2712*g + 81560\/3 = 0. What is g?\nAnswer: -4078, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*b**2 + 2*b**4 + 13*b**3 + 4*b**2 - 3*b**2 - 11*b**3 - 8*b to d*b**2 + a*b + u*b**3 + r + s*b**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11201 - 11198. Solve -4*j = 4*u - 36, 0 = 5*j - m*u - 9 - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 303174?\nAnswer: -1515870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f = 15, 5*t - 2*f = 2*f + 8. Suppose 0 = -t*i + 2*d + d + 15, 4*i = -d - 5. Suppose -5*m = -i*m - 140. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 2*m**2 - 2*m - 3. Let d be h(3). Suppose 0 = -n - d - 2, -4*o = -4*n - 20. Let u be -1*o*(-3)\/(-9). Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 87*p**3 + 16*p**2 - 7*p. Let n(x) = 174*x**3 + 33*x**2 - 15*x. Calculate 15*k(j) - 7*n(j).\nAnswer: 87*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + k - 13. Let n(b) = 6. What is -5*n(t) - 2*u(t)?\nAnswer: 2*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 23 = -1. Let g be (2\/(-3))\/(h\/(-54)). Let w(c) = 3*c**2 + 2*c - 2. Let n be w(g). Calculate the highest common divisor of n and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from {d: 2, n: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g + 3. Let b(f) = f**3 + 6*f**2 - 733*f + 18. What is b(j) - 6*z(j)?\nAnswer: j**3 - 727*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 40 + 10 = 0. Suppose 2*f - 59 = s - 4*s, -2*s = -3*f + 69. What is the highest common divisor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 382025314*p**5 + p + 5042040 wrt p?\nAnswer: 7640506280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 - 7*o + 14. Let s be l(5). What is the second derivative of 1 - 1 + 22*p + 26*p**s - 55*p**4 wrt p?\nAnswer: -348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1782 = 2134*k - 2431*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/17, -0.36, 16 in descending order.\nAnswer: 16, -0.36, -29\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1987420726 rounded to 3 decimal places?\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 5}. What is prob of picking 1 o and 1 e?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15674503457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 18, 3 + 36 = -3*h + 5*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.55 + -4.5494782. What is x rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15054888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 0. Let z(f) be the second derivative of -f**5\/20 - f**4\/2 + 5*f**3\/6 - f + 62. List the prime factors of z(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:04 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 18, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Suppose -7*r + 12 + 9 = 0. Which is the closest to 0? (a) n (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(931)*2)**2 + sqrt(931) + 1 + 1.\nAnswer: -21*sqrt(19) + 3727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*f - 402 = 0, 5*y - 3*f = 7*y - 410. Round y to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) -2.6 (c) -3 (d) -4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380162703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g - 26. Let v = -2357 + 2360. Calculate t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449522316.\nAnswer: 2, 17, 229, 157303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 78 = -69. Suppose 0 = 14*y - 104 - 806. What is the least common multiple of u and y?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 17*d + 8*d**2 - d**3 - 7 + 6*d**4 + 6. Let h(o) = 5*o**4 + 2*o**3 + 9*o**2 + 16*o. Let g(q) = 5*h(q) - 4*n(q). Factor g(k).\nAnswer: (k + 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + (sqrt(17) - (sqrt(17) - (sqrt(17) + -1 + -4))) - (-2*sqrt(85)*4 + sqrt(85))\/sqrt(5))**2.\nAnswer: -100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (714\/595)\/(1*2\/(-4))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -2, 0, 105, 3, 5.\nAnswer: -2, 0, 3, 5, 105, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 + 124.6. Let y = -14 - l. Which is the closest to 0.2? (a) -2 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 15*y**2 + 19*y + 2. Let s be f(9). Let g = -205 + s. What is the remainder when g is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 - 344653*c**3 - 6008724?\nAnswer: -8*c**3 - 1033959*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153245 is divided by 473?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 + -23132?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 + -4431)\/(-8) + -1?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {w: 1, s: 4, x: 4, e: 1, r: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/5 - 501*h**2 - 10008*h\/5 - 10004\/5 = 0. What is h?\nAnswer: -2501, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + s + 0*s)*(-4 + 3 - 1)*(-12*s + 6*s - 7*s + (-s + s - s)*(0 + 2 - 3) + 3*s - 5*s + 0*s - 45*s + 192*s + 29*s) to x*s + g*s**2 + t and give g.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 25*d + 7131. Calculate v(-211).\nAnswer: 1856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236247*k + 2236145*k = -9486 for k.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 928239 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124720193981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468, -462, -454, -444, -432, -418, -402?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(42\/140*-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1)*v)**(19\/4)\/(v**5*v**(3\/7)) assuming v is positive.\nAnswer: v**(-19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4.8. Let l = 0.3 - h. Let f = -58\/7 + 8. Which is the closest to l? (a) -3 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -696 - -3479\/5. Sort 0.4, l, 124\/13 in ascending order.\nAnswer: l, 0.4, 124\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 103, 209, 357, 547?\n\"Answer: 21*m**2 + m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 89083608*a - 991986151787208.\nAnswer: -2*(a + 22270902)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 275035, -35 in descending order.\nAnswer: 275035, 5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42860, 43266, 43678, 44096, 44520, 44950, 45386?\n\"Answer: 3*u**2 + 397*u + 42460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256015\/18 - 14228. Calculate the common denominator of f and 19\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from wwunpp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 138130878+0.5\nAnswer: 138130878.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21093\/2 or 0.309?\nAnswer: -21093\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z. Let k(v) be the third derivative of 8*v**5\/15 - 584*v**2. Give k(s(j)).\nAnswer: 32*j**4 + 384*j**3 + 1152*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*b + 33. Suppose -b*j = -8, -z + 714 = 5*j - 485. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11208 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8231824 or -8231822?\nAnswer: -8231822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -1) + (-5 - 0 - -8). Suppose -11 + 29 = g. Suppose -k = -5*i + g. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Let z(x) = -97. Let k(p) = 465. Let o(l) = -5*k(l) - 24*z(l). Calculate 5*g(v) - o(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {w: 6, v: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 2, p: 2, z: 2}. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19339 and 28801?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1. Let y(p) = -4*p - 3. Suppose 364 = 18*k + 346. Calculate k*y(h) - 4*a(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13130767 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11776 by 2.\nAnswer: 5888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2675 = 4*d, 10*z = -4*d + 13*z - 2651. Which is smaller: -660 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 4, 3\/4 in descending order.\nAnswer: 6, 4, 3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16190834 by 17.\nAnswer: 952402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0 + 0*y**3 - 5*y**2 - 1\/24*y**4 + 0*y. Let s(i) = -7*i**2. Determine s(l(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2339.835297 to zero decimal places.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/4)*f)\/f)**(1\/3) assuming f is positive.\nAnswer: f**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 466\/(-1176) - 101710\/(-244104)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -178*j + 753. What is the remainder when 940 is divided by i(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -4041.82566\nAnswer: 20209.1283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - k - 3*k + 16, 0 = 5*s + 5*k - 20. Suppose -22 = -2*n + 10. Let q = -13 + n. Solve -2*p + v - 6 = q*v, s = 5*p - 3*v + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -19.9. Let p = -5.9 + b. Let o be 8\/20*(-45)\/(-36). What is the nearest to o in -2, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/3*(72\/(-20))\/3. Suppose -5*m - j = 24. Calculate the common denominator of 151\/12 and m\/(-10) - 2530\/(-400).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + s + 35697, -2*j + j + 4*s + 8943 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 9*j + 8. Let u be r(5). Suppose -4*v - 24 = -3*x, -3*x = 5*v - 0 + u. Differentiate 6*n**2 - 19 + 10*n - 14*n + x*n wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**3*t - 16*n**3 + 435*n**2*t + 6602*n*t + 58*n wrt n.\nAnswer: -18*n*t - 96*n + 870*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*o**4 - 23*o + 26*o - 14*o**4)*((-5*o + 3*o + o)*(-2 - 1 + 4) + 2*o + 2*o + 0*o).\nAnswer: 345*o**5 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1819 - 2702. Let k = j - -1721\/2. Let a = -464691\/34 - -13666. What is the common denominator of a and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -30, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let u = 35 + -33. Let g(n) = -38*n**u + 24 + 23 - 47. Calculate g(p(i)).\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 904\/192 - 4\/2 and 35\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*m + m - 9, -3*m - 48 = x. Let o be (-34)\/(-500)*m\/6. Let p = 2\/25 - o. Which is the third smallest value? (a) -0.2 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26060*k*o - 300*k + 14 wrt o.\nAnswer: 26060*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1 - -2))\/((-2)\/32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-1148)\/8) - (2\/(-861))\/((-4598)\/126324)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9639413 + -0.0639418. Let i = -0.9 + z. Round i to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676120 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 + (3 - 2) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-140)\/(-500))\/((-3)\/15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -991 and 528423?\nAnswer: -523667193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 15*p = 0. Suppose 7*v = -4*z + 6*v + 3252, -z + 4*v + 813 = p. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -10 + 4. Let v be 35 + -2 + (s - 5). What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 5 (c) -0.1 (d) 1\/3 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -4*f + 36, -697*f = -702*f - j - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 297.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:30 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19857, 39749, 59643, 79539?\nAnswer: 99437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -5*s**3 + 26*s - 25. Differentiate a(m) wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64876.73 micrometers in kilometers?\nAnswer: 0.00006487673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 4, -0.3, 82, 1\/2.\nAnswer: -3, -0.3, 1\/2, 4, 6, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -9\/16 (b) 11 (c) -38 (d) 3\/4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**3\/3 + 2. Let a(b) = 66*b + 96*b - 142*b. Calculate m(a(r)).\nAnswer: 800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/19 in 0.1, -3, 0, 25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 393979, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**4\/72 - q**3\/36 + 5*q. What is c in p(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 (base 10) in base 14?\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(162) + 0)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 7, i: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 1, n: 2, x: 4, c: 4}. What is prob of picking 2 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -7.3.\nAnswer: 7.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 23*b = 7. Suppose -64 = 5*h - b*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(152)*1)\/((sqrt(88)*1)\/sqrt(11)) + (sqrt(190) - sqrt(190)*-1*-5)\/((sqrt(120)*-1)\/sqrt(12)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -551 - -3294. What are the prime factors of j?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxu. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/5*1 - (-1)\/(-5). Let z(l) = 50 + 3*l - 3*l - w*l. Does 10 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 79, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1925*h**3 - 769*h**3 + 1819*h**3.\nAnswer: 2975*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52734.\nAnswer: 2, 3, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 2892*r.\nAnswer: -4*r*(r + 723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 - (1 - 3)*1. Solve i = -3*i - b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*(923 + -813).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 14 = 2*i, -p + 16 = 2*i. Suppose 2*d - 3 = 5. Suppose 93 = d*v + 5. Calculate the highest common factor of v and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-56)\/(-2))*3\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0246 (b) 3 (c) 60 (d) -340\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6)*(-22338)\/1095\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-36) + 3\/(-9). Let w be (0 - 14)*(0 - 1). Let l be (-1 - w\/(-18))*-3. Which is the closest to v? (a) l (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**4\/4 + 2591643*w**3\/4 + 46643256867*w**2 + 15546816420*w - 62190721200 = 0.\nAnswer: -143980, -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2195 * -48.25.\nAnswer: -10.590875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19575, 19577, 19579, 19581, 19583?\n\"Answer: 2*m + 19573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-14))\/((-5)\/35). Let r = 12 + x. Is (89\/2)\/((-3)\/r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 124, 299, 548, 871?\n\"Answer: 37*j**2 - 10*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 164*v**6\/15 - v**4\/6 - 9*v**3 + 344*v. Find the third derivative of p(r) wrt r.\nAnswer: 7872*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -97, -298, -695, -1354, -2341?\nAnswer: -3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 1, -33 in descending order.\nAnswer: 1, 0, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2658\/5 or 532?\nAnswer: 2658\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1)*b)\/b)**(-5\/6)*(b**(1\/4))**(-12\/5) assuming b is positive.\nAnswer: b**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001997 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.42 rounded to zero decimal places?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3267.525 to the nearest 10.\nAnswer: -3270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4679424 and 389952?\nAnswer: 4679424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/3)\/((-6505)\/(-15612))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1636 and 4123129?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1374 - -1369. Sort 0.4, b, 1.3 in ascending order.\nAnswer: b, 0.4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from scvggggvp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l. Let i(r) = 93*r. Determine v(i(d)).\nAnswer: 1953*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, z: 1, x: 5, j: 3, f: 1, e: 3}. Give prob of picking 1 u, 1 j, and 1 x.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853*u**2 - 829*u**2 + 476*u**2.\nAnswer: -1206*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1178 and 682.\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5507902384*b**2 + 5507902423*b**2 + b - b.\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117307339 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 0) + (-335 - -316)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 7*b - 3*b**5 - 8*b**4 + 8*b**2 - b - 2*b - b**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-7))\/(2\/8*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 12 + 35*y**3 + 29*y**3 - 25.\nAnswer: 69*y**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (0 + 7 + -3). Let k be w\/(1 + 2 + -8). What is the third biggest value in k, -1\/4, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689 - 1018 = -243*h + 886. Let y = 910582\/98217 - 584\/63. Let j = 26509\/4677 - y. Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6))**18*(y\/(y*y**(-16)))\/y**(-18) assuming y is positive.\nAnswer: y**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45791462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 + -5. What is the closest to -0.2 in m, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/(k\/(k*(k**(-3)*k)\/k))*k\/((k\/k**(-2\/13))\/k)*(k**(5\/6)\/k)\/k)**(5\/6) assuming k is positive.\nAnswer: k**(-5585\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/8)\/(140\/112))\/((-143)\/65).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13542, -27082, -40622?\nAnswer: -54162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 6227?\nAnswer: -4\/6227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1 + 0)*3.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let x(r) = -7*r**2 + 2*r. Let q(a) = -4*b(a) + x(a). What is the second derivative of q(w) wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*l + 2600 = -269*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(3*x - 12 + 12)*(-2 + 2 - 2*x)*(x + 2*x**2 - x).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -9, -3, -23, 0.1, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 9*d**2 - 2*d + 12. Let i be c(9). Let z be 1\/(-3) + 4\/i. Let p(m) = -2*m + 3. Let o be p(2). Do o and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + sqrt(343)*2 + 4)**2*3 + -4).\nAnswer: -24690 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 + -0.31. Which is the nearest to -5? (a) -0.3 (b) 2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4185 and -41\/20?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1066686620 by 106668662.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3819, 1488, -857, -3222, -5613?\nAnswer: -8036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.9 - -38. What is the nearest to q in 3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65239177+153944\nAnswer: -65085233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 - 168*p**2 - 2 + 76*p**2 to c + b*p**2 + w*p and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*t + 49, 1179*t = -4*q + 1176*t - 108 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -273, -345, -435, -537, -645, -753, -855?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 m when four letters picked without replacement from {j: 3, r: 4, m: 2, p: 8, b: 2}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 12 = -4*r, 24*r + 3*h - 12 = 28*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + b + b + (3 - 2 - 3)*(-4*b - 3*b + 5*b) + 0*b + 5*b - 2*b + b - 4*b - 3*b + (-b + 5 - 5)*(-2 - 3 + 6).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 912178227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -766 + 391 + 375 - 6860*y to the form b*y + u and give b.\nAnswer: -6860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 5*a**2 - a. Calculate m(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8196 at least -8191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*b + 2*b + 0*b)*(-2 - 1 - 1) + 2 - 2 + 4*b + 3 - 2*b - 5 + 0)*(b**2 - 2*b + 2*b) to the form k + d*b + o*b**2 + l*b**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c**3 + 6*c**2 - 6. Let z(g) = -18*g**3 + 17*g**2 - 17. Determine -17*j(s) + 6*z(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 7. Suppose o = 3*u - 18. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-20))\/(735\/(-84) + 9). Which is the closest to -1? (a) -3 (b) t (c) -5 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11560 divided by -340?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5027 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 - 4*v - 1. Let x be -1 - (-6 + -2 + 2). Let u be s(x). Let z be 0\/(1 + 0\/2). Solve -o + 0*i + 2*i = z, -2*i = -u*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398, 511, 418, 119, -386, -1097, -2014?\nAnswer: -3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31591 + -14691. Let w be ((-391239)\/(-81))\/((-2)\/(-7)). Let h = t - w. Calculate the common denominator of -65\/14 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/280840 and -36\/73015.\nAnswer: 241241560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2110*j - 80218. Determine o(-38).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -55, 1290, 0 in ascending order.\nAnswer: -55, -5, 0, 3, 1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**37\/j*j**16 assuming j is positive.\nAnswer: j**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*4 + (-2 - -36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -5*w**3\/2 - w. Let a(b) be the third derivative of b**4\/12 + 2*b**2 + 26620*b. Calculate r(a(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152276313 to the power of 1\/2, to the nearest integer?\nAnswer: 12340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xshssslnxvnhhh. What is prob of sequence sv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 213775524 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/80349 and 25\/12?\nAnswer: 321396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -11. Suppose 8*p - 608 = -339 - 333. Is u < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2) - (-13)\/13. Suppose 5*i = n*o - 60, o - 5*i = -2*o + 40. Calculate the remainder when (-3)\/(-18) + (-2365)\/(-30) is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.547361ns to hours.\nAnswer: 0.0000000000029298225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -89*d**2. Let i(n) = -10*n - 2. Calculate i(t(x)).\nAnswer: 890*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -18*f. Let u(z) = -2*z + 6. Let x(t) = 2*t - 7. Let c(l) = -7*u(l) - 6*x(l). What is j(c(b))?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488993607?\nAnswer: 53, 1061, 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 7:07 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-47)\/(-4) + (-6)\/(-24). Suppose 0 + v = 3*o. Solve o*w - 6*w - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109 and 0.08841.\nAnswer: -9.63669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1323*c - 24. Let a be y(12). What is a rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -740 - -744. Let g(f) = 2 + 1 - 5*f + 0*f - q*f - 4*f. Let i(h) = 8*h. Give i(g(x)).\nAnswer: -104*x + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (-1)\/((9 - 3)\/(-126)) is divided by 2*1 - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/100870 and -3\/706090.\nAnswer: 706090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 50. Let n(t) = -t**3 + 10*t**2 + t. List the prime factors of n(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 16*w + 15*w + 6 = 0, 1 = -3*d + 2*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 954 - 34?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4462484 to the power of 1\/2, to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10550444 (base 6) to base 11\nAnswer: -202590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 23 = -9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 569?\nAnswer: 56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 53, -19, -3, 20, -39?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -37*w**2 - 8*w + 90. Let i(c) = -6*c**2 - c. Determine -6*i(h) + j(h).\nAnswer: -h**2 - 2*h + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - i + 0*i + 3*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -700.8 - -701. What is the nearest to -0.2 in f, -0.5, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44962103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1.1. Let p = 8.1 - o. Let r = -8.000125 + p. What is r rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -110*f - 1188. Determine r(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5349*g**2 + 5344*g**2 + 5350*g**2 + 2*g**3 - 21389*g**2 + 5346*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 + 22*i - 42. What is d(9)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -326 in 3\/2, -8, -1, 1\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l - 27. Let t(i) = -17*i - 34. Let k(b) = -5*n(b) + 4*t(b). Let o(v) = v + 1. What is k(y) + 3*o(y)?\nAnswer: 25*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j. Suppose j*t = t - 97. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*-5*(-1 + 0 + sqrt(1300) - (sqrt(1300)*2 + 5)).\nAnswer: 56 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141980 is divided by 159.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*r**6 - 23*f*r**2 - 25*f*r - 4*r**6 - 23*r**4 + 2*r**2 wrt r?\nAnswer: 240*f*r**3 - 480*r**3 - 552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79527 is divided by 295?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 8*v**2 + 16*v - 11. Let b be 7\/2 + 225\/450. Calculate y(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 157183 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9342 = 468*d - 122*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4580472, -4580468, -4580472, -4580490, -4580528, -4580592, -4580688?\n\"Answer: -w**3 + 2*w**2 + 5*w - 4580478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286514*b = 284658*b + 55680 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4184790688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*s**2*w + s**2 - 5*s*w - 3*s + 9806*w + 4 wrt s.\nAnswer: 108*s*w + 2*s - 5*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 1, x: 1, j: 3, v: 3, s: 3}. What is prob of sequence cxjv?\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -261*o**2 + 83 wrt o?\nAnswer: -522*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 1851\/17. Let x = o + -47\/34. Calculate the common denominator of x and -59\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.457 - 0.067. Let n = g + 0.01. Sort -0.3, 1, n.\nAnswer: -0.3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*o + 4*v, 2*o - 4*v = -6*v + 76. Let k = o - 18. Let i be (-87)\/(-9) + 2\/6. Solve -3*f = 5*l - 13 - i, 5*l - 5*f = k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882*r - 12 + 20 - 10.\nAnswer: 1882*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074453021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22198 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.19644, -3\/25, 0.1, 0?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0*z + 2*z)*(0 - z**3 + 0) + 2*z**4 + 3 - 3 - 47*z**4 + 82*z**4 + 70*z**4.\nAnswer: 109*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**2\/2 + 11*k - 11. Let c(b) = 5. What is 7*c(q) - 3*s(q)?\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, 4, -93307, -251 in ascending order.\nAnswer: -93307, -251, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 2, e: 2, d: 4, w: 2, t: 1}. Give prob of sequence xad.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 - 2*i + 9. Calculate z(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 10\/9, 18, 1\/7, 3\/4, 1, -1\/7, -2\/83?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 14, 0 = 2*y + 54*d - 49*d - 9611. What is the highest common divisor of y and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggggkkg?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -5*72\/90?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymdpkpr. Give prob of sequence rkm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16474190 and 2550?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7 (b) 1 (c) -0.01 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 130 = d - 3*n, -96 = -4*d + 4*n. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 2) + (-1)\/1. Suppose c*w + 18 = 3*w. What is the smallest common multiple of 20 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 4}. Give prob of sequence xhxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117 - 104) + (7 - 0) - 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 7, 13, 11, -5, -41, -103?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.152, -1\/12, 5, 2\/9, 1.\nAnswer: -1\/12, 0.152, 2\/9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12 - 75\/9. Let g(y) = y**2 + 9*y + 20. Let x be g(u). Let q = x + -16. Solve p + 1 = -2, -t - q*p - 17 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491199733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -160981610, -321963220, -482944830, -643926440, -804908050?\n\"Answer: -160981610*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886991183?\nAnswer: 44483, 64901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/6, 3, -18\/7, -3 in decreasing order.\nAnswer: 3, -1\/6, -2, -18\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -576*u**3 + 14525 + 12*u**4 + 32*u**3 - 59392*u + 3626*u**2 + 12278*u**2 - 280*u**3 + 18243 = 0.\nAnswer: 2\/3, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/3, 0.4, 39.\nAnswer: -1\/3, -1\/4, 0.4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200 is divided by 145?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11960045131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 13*f - 39. Let z be m(-7). Solve z*j = -2*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 435295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23 + 41*k**2 - 163*k**2 + 80*k**2 + 2*k**3 + 15*k. Is f(21) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 8. Let g be i(5). Let y = g - 12. Suppose y*t - 5*w - 30 = 0, 0*w - 14 = -2*t + w. What is the highest common divisor of 24 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 238612, 477089, 715430, 953635?\n\"Answer: -68*a**2 + 238681*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147311 is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-23 - -35) + -23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6025784 less than or equal to -6025784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osooyiliowowoo. Give prob of sequence oiw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -0.4 (b) 0.1 (c) -2\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -113\/2 (b) 3 (c) 0.1 (d) 7 (e) 2 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 241 and -0.3.\nAnswer: -72.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 948 + 407. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (435\/(-30) - -15)*-8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 0 - -6 - -100. What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54823512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*h + 46*h = -66*h + 4800 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -2.46. Let y = t - 2.479999407. Round y to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 49*r**5\/4 + 17928337*r**4\/4 + 10884994*r**3 + 1646458*r**2 - 4024700*r + 731764 = 0.\nAnswer: -365882, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -440 and 12235?\nAnswer: 12675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 7\/151 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 175*s + 168. Let c be g(-1). Which is greater: c or -18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 205093, 0.01, 3, -1 in increasing order.\nAnswer: -1, 0.01, 3, 205093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556230 (base 7) in base 6?\nAnswer: 4343214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(4 - 1) + -2. Let u be k + (-2 - -4) + -1. Let t(c) = c - 31000. Let i be t(u). What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let f(q) = 6*q. Let x be f(w). Suppose 2*o + 2*o - 4*u - x = 0, o + u - 11 = 0. Solve 0 = 2*k - o*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 20\/7 (c) 2\/3 (d) -47\/1009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1 + 5*w - 17*w + 0 + 11*w. What is r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**5 - 10*a**3 + 10*a**3 + (a**4 + 4*a**4 - 2*a**4)*(-7*a - 20 + 20).\nAnswer: -26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4815*j**2 + 17*j + 33. Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 4600.\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehddhrkdwhwhhhhk. Give prob of sequence krwd.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19034386*o**2*u - 184*o**2 - 5113*o wrt u.\nAnswer: -19034386*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -449*i + 738. Determine z(2).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4378 + 4770. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 j when three letters picked without replacement from jjoooojojojojjjj?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (1*sqrt(121) + sqrt(121)))*5 - -2*sqrt(121)*3)\/(sqrt(66)\/(sqrt(12)\/sqrt(50))).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y + 52. Let p be g(-5). Let s(c) be the third derivative of 0*c + 1\/3*c**4 + 4*c**p + 0 + 0*c**3. Calculate s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3*w + 6)*(-w + w**2 + w) to the form v + i*w + o*w**3 + l*w**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 2*1\/(-2). Let r(c) = -1 - c - c**2 + 4*c + 47*c**3 - c. Is r(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24*6*(-7 + 896\/126). Let -k*y - 4\/9*y**2 - 144 = 0. What is y?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 6*k**2 - 9*k - 1. What is the tens digit of o(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -38*r**3 - 2*r**2 - 5*r - 8. Let v be w(-2). Suppose -47*j + 360 + v = 0. What is the smallest common multiple of 8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01087 + -5.01087. Let g = 0.08 - -0.62. Let y = 0.3 + g. Which is the closest to -1? (a) y (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(3*sqrt(5)) + -4.\nAnswer: -4 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 15*o**2 + 10*o - 26. Give f(-16).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7338947 hours?\nAnswer: 2642.02092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15253835 and 1865.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/13 + 14*v\/13 + 240\/13 = 0.\nAnswer: -8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 65. Suppose 4*c + 5*o + 351 = j, -70 = 3*c + 4*o + 192. List the prime factors of (-1 + c\/(-8))\/((-1)\/(-12)).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 437019024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 27 = -982*m + 991*m, 0 = 5*n + m + 1 + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/860 and 91\/6037540?\nAnswer: 259614220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477991911.\nAnswer: 3, 19, 23, 364601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.753328 rounded to 2 decimal places?\nAnswer: -96.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13268 and 4669801?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4957 - -29669\/6. Calculate the common denominator of -137\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -33.9952. Round x to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-12))\/(2\/30). Let h(y) = -y**2 - 5*y + 2. Calculate the least common multiple of 20 and h(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1110\/(-18)*66\/110*-1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82488 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a)**(9\/2)*(a*a**0)**(-30) assuming a is positive.\nAnswer: a**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + h + 568 = 0, -5*h + 792 = 5*v - 188. Suppose 4*k - 5*d - 189 = 0, 5*k - 42 - v = 3*d. Suppose -k*f = -47*f + 89. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2752646046 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 - -7) - 2 - (-13 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 29*l - 24*l. Let y be (5\/(-1))\/l - (-82)\/10. What is the lowest common multiple of 664\/22 + y\/(-44) and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b + 11*b**2 + 2 + 8*b - 14*b - 15*b**2 as d*b**2 + g + s*b and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-3)\/(-3)*-3. Solve -2*d + 22 = 4*r, -4*r + t*r - 5*d = -7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 12, -4, -19 in descending order.\nAnswer: 45, 12, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 8*n + 25. Let i be t(-7). Let h = i + -71\/4. Let 0*j**2 + h*j**4 + 0*j + 0 - 1\/4*j**3 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**5 - j**4 - 17*j**3 - 20*j**2 - 3*j. Let w(q) = q**4 + q**3 - q. Let n(x) = d(x) + 5*w(x). Determine r so that n(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4, 3*b + 3*t = -0*b + 3. Suppose o - 25 = b*l, -3*o - 3*l + 0 = -30. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 9*p + 12. Let z be f(8). Let x be (-36)\/(-10) + (-6)\/(-60)*z. Solve 4*m + 5*b + 37 = -0*m, 2*m = -x*b - 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379 + 851.\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.29583+2\nAnswer: 1.70417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 + 2*x + 61681. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:21 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:38 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82565.9 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -83, -199, -391, -659?\n\"Answer: -38*a**2 - 2*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/19899 and 55\/469?\nAnswer: 139293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/3 - (-8)\/6. Suppose -w = -4, 9*i + 2*w = j*i + 4084. Suppose -3*k = 5*p - 2026, i + 1659 = 4*k + 2*p. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212210 + 2?\nAnswer: 212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*j = -4, -2 = 4*z - 9*j + 7*j. Suppose -5*s - 2*a + 3*a + 21 = z, -4*a - 20 = -4*s. Solve 0*f = -s*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2, 243*w - 3*h - 6 = 240*w. Let -26\/9*r**4 + 0 + 2\/9*r**5 + 40\/3*r**w - 224\/9*r**2 + 128\/9*r = 0. Calculate r.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2922 divided by -2714\nAnswer: 1461\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 6, g: 1, n: 1, l: 1, r: 3}. Give prob of picking 1 r and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52a7 - 23115?\nAnswer: -1ab3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*h*q**2*r**2 - 456*h*q**2*r - 3*h - q**2*r**2 - 18*q**2*r - q*r**2 + 598*r**2 wrt h.\nAnswer: -32*q**2*r**2 - 456*q**2*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 + 157*v + 211. Let p be u(-21). Which is the nearest to -1? (a) -177 (b) 0.1 (c) -0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 260 = -2*u, -38*u + 516 = -34*u + 4*s. List the prime factors of u.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/81*3)\/((-2)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) -5 (c) 174 (d) 2 (e) -18 (f) -48\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99524, -99489, -99466, -99461, -99480, -99529, -99614, -99741?\n\"Answer: -f**3 + 42*f - 99565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4848179843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*d = 88*d - 840. Calculate the highest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 - 2 + 2)*((-6 + 4 + 0)*(-2 + 0 + 3) - 6 + 4 + 17)*(1 - 2 + 0) in the form o*r**3 + h + y*r + n*r**2 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*v + 877*v - 438*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 2\/3*t**3 - 1\/2*t**2 + 111*t + 0. Determine p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.3. Let d = r + -0.16. Which is smaller: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*z - y + 2, -12 = -2*z - 3*y. Suppose 12 = 2*u + 4*r, -4*u - 2*r + 4*r + 4 = z. Factor 2*n**2 - 3*n - 3*n**2 + 2 + u*n**2.\nAnswer: (n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*o - 4*x, 0*o = -8*o - x + 64 - 56 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -100921?\nAnswer: 100912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (1*sqrt(25) - sqrt(25))\/sqrt(5))**2 - (sqrt(10)\/sqrt(2))**2*-5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*z - 770, 7*d = 3*d + 12. Suppose 7*c = z + 165. Let x = 55 - c. Solve 0*n + x = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5208321020.\nAnswer: 2, 5, 7, 23, 41, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -385885*t + 6 - 2*t**2 + 385885*t. Let u(o) = -5*o**2 + 13. Give -14*k(j) + 6*u(j).\nAnswer: -2*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (506\/(-6))\/((-2)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 9. Let z be f(-7). Let l = 35 + z. Let r be (24\/l)\/((-3)\/(-32)). What is the greatest common factor of r and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2 + 8*h + 7. Let i(y) = 2*y**2 - 17*y + 42. Let s be i(5). Let m(r) = -6*r**2 - 4*r - 4. Give s*m(j) + 4*c(j).\nAnswer: 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 686884558 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142618 and 73?\nAnswer: 10411114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, v: 1, f: 1, k: 5}. What is prob of sequence vkbk?\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 14 - 42\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 + -236. Is (6 + (m - -2) - 8) + 271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-16)\/12*(-9)\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Solve -u = u + m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (18 + -20 - 4 - 3) - 9\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12272798 to the nearest integer?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 = 30*n + 71 - 45 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 + 3) + 0. Let i(s) = 2*s**2 - 9*s + 8. Let c be i(4). Solve -c*f + h = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 339*o**3 - 4*o**4 - 340*o**3 - o**2 - 333*o**3 + 1018*o**3 to the form j*o**3 + w*o**2 + b*o + m + h*o**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 9*g**2\/2 - 6*g + 24. Let t be c(2). Find the common denominator of t\/(-9)*(-303)\/24 and 23\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 1 + 2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**2\/2 + 2. Let r(l) = -3*l**2 + 2*l. Let s(p) = 20*p**2 - 15*p. Let f(b) = -15*r(b) - 2*s(b). Determine j(f(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/4 + 6*d**3 + 45*d**2\/2 + 24*d + 33\/4.\nAnswer: -3*(d - 11)*(d + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*v + v - 37, -2*o = 3*v - 39. Suppose 5*j - 14 = -5*a + 201, 0 = 3*a + 15. Calculate the highest common divisor of o and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/37)\/y*y**(2\/15))\/(y*y**(-48))**(-1\/32) assuming y is positive.\nAnswer: y**(-40517\/17760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577420 to the power of 1\/2, to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/27)\/(3\/108). What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 68*i + 245. Let v be n(-30). Let q = -1 - 0. Let f = -3 - q. What is the smallest value in f, 3, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3383320.\nAnswer: 2, 5, 41, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(80)\/(sqrt(490) - sqrt(10)) - sqrt(8)))\/(sqrt(12)\/((2*sqrt(3) - sqrt(3))*4)).\nAnswer: -3 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:48 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 89052*m. Let j(y) = y. Give j(d(p)).\nAnswer: 89052*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4863*q**3 - 2*q**2 + 320198*q wrt q?\nAnswer: -29178*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14156 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -19. Let u = m + 27. Suppose -r - u = -33. Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.039 - -0.171. What is the nearest to 0 in 3, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + n - 6, 438 = 4*y - 2*n + 408. Let t(r) = r**3 - 8*r**2 + 6*r + 14. What is t(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0196 + -3.0196. Let m = -6 - -5. Let c = 0.6 + m. What is the closest to 1 in 0.01, h, c?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 39*v - 69. Let z be j(37). Let u = 0.65 + 0.35. Which is the closest to -2\/9? (a) -2 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*r**5 + 3286*r**4 - 105598*r**3 + 220634*r**2 + 228660*r - 100800 = 0. What is r?\nAnswer: -80, -1, 10\/29, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56160, 56130, 56062, 55944, 55764, 55510, 55170, 54732?\n\"Answer: -2*l**3 - 7*l**2 + 5*l + 56164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 845880 and 25255560.\nAnswer: 176788920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {v: 2, e: 10, j: 2}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 13*k**2 - 15*k - 144. Let w be n(-13). Suppose 19*g - 44 = w. Solve 0*y + 18 = g*y + 3*o, 0 = -2*y - 2*o + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 28. Suppose a = -4*g + 3*q + 1080045, -4*q = -3*q + 3. Let f be g\/(-3) - -1*3. Round f to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z*z**(1\/5)*z)\/((z**(-4\/7)\/z)\/z**(1\/2))*(z**(-2\/7))**(1\/2) assuming z is positive.\nAnswer: z**(797\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -0. Suppose -s*x - 3*b - 2 = -4, -x + b = -11. Let n = 11 + x. Calculate the remainder when 34 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03747 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1175 divided by 199\nAnswer: 1175\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = 2*j, 28 = 4*j - 4*z. Suppose -j*h = 5*t - 25, 0*h - h = -3*t - 5. Solve -2*g - 6 = -t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50325975 divided by -479295?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/13))**(-45))**(23\/3) assuming i is positive.\nAnswer: i**(-3795\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3106.4 + 3106. Suppose 16 = 2*f + 4*q, f + q = 3*q - 8. Sort y, -0.38, f in decreasing order.\nAnswer: f, -0.38, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvogovotototvv. What is prob of sequence oo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*p + 1069199 = 136337. List the prime factors of p.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 4. Let h be m(-4). Sort -2, -1\/7, h in increasing order.\nAnswer: -2, -1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2 and 77\/652.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 4. Let i(t) = -6*t - 2. Let f be i(-1). Give v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 - 1111\/7. Let x = -18\/4555 - 42169\/163980. Let r = 3\/20 + x. Which is greater: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -18c8?\nAnswer: 18cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/12301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 96*l**2 - 454*l + 189. What is the remainder when b(91) is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 1421*m - 488975. Determine b(-585).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 3. Let c be u(-6). Let v = 4 - c. Calculate the greatest common divisor of v and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*a**3*n*t + 350*a**3*n + a**2*n**2 - 3*a**2*n*t - 2*a**2 - 2*n**2*t wrt t.\nAnswer: 18*a**3*n - 3*a**2*n - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106603\/871470 + -1\/9683. Let r = 325\/157 + -6469\/9420. What is the common denominator of r and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4340 divide 1114885240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 4*f**4\/3 - 16*f**3\/3 + 18*f**2. Find the first derivative of w(u) wrt u.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/120 - 5*i**4\/24 - i**2 - 5*i. Let r(a) be the first derivative of j(a). Find the second derivative of r(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**9\/12096 - y**8\/3360 - y**7\/3360 + y**3\/3 + 3*y. Let t(g) be the second derivative of i(g). Factor t(f).\nAnswer: -f**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 12*c**2 + 28*c - 29. Calculate t(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -7. Calculate the remainder when j is divided by -7*-4*(-4)\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 623 - 350. What is the remainder when (-6)\/36 + s\/18 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 - 3*h**3 + 138*h?\nAnswer: -20*h**3 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3458229 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -12, -40, -110, -240, -448, -752?\n\"Answer: -3*w**3 + 6*w**2 - w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*t = 305 - 63, t - 119 = -r. Let m be r\/42 + (-1)\/(-7). Solve -2*l - m*l + 5*v = 0, 5*l = -2*v - 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, p: 1, r: 1, w: 1, l: 2}. What is prob of picking 1 w and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**4\/12 - 3002*s**2. Let h(y) = -3673*y. What is w(h(j))?\nAnswer: 7346*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14022 and 159982?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q**2)*((2 + 6 + 3)*(4 - 4 + q) + 0*q + 2*q + 0*q) + (q + 5*q - 5*q)*(0*q**2 - q**2 + 6*q**2).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6283212.\nAnswer: 2, 3, 13, 40277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 11*j**2 + 27*j + 19. Let a be r(-13). Let g be 8\/a + 46\/6. Solve 0 = 3*i + g - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let k = -17 - -23. Suppose 5*i + 7 = -13, -p*i - k = t. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z + 234. What is the lowest common multiple of l(5) and 203?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 81185052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 - 5*k**2 + 29 + 3*k**3 + k**2 + 6*k**2 to y*k + g*k**2 + h*k**4 + o*k**3 + j and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 22. Give i(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 - 10)) + -9 + 1 + 24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11086.9 + -11087. Suppose 2*z + g + 16 = -g, 0 = 2*z - 2*g. Which is the closest to 5? (a) x (b) 0.1 (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**2 + 0 - 7*f**4 + 3*f**2 - 2 wrt f?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 40704*u - 207101952 = 0. Calculate u.\nAnswer: 10176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/3)\/n*n)\/n)**27\/((n\/(n*n**1))\/n)**28)**6 assuming n is positive.\nAnswer: n**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -l + 533, -5 = -4*l - l. Is 3 a factor of (-4)\/14 + 3097\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2530 or -0.1?\nAnswer: -2530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612 = -1249*i + 1198*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)\/((g**(-6)*g*g)\/g)*g**5\/(g*(g\/g**(-2))\/g*g*g)*(g**1*g)**(14\/5)\/(g*g\/(g\/g**(3\/4))*g*g**(-3\/2)\/g) assuming g is positive.\nAnswer: g**(167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(3\/2))*g)\/g)**(3\/10)*g\/g**(-1\/20)*g*g**(-1\/5) assuming g is positive.\nAnswer: g**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1154 divide 1629448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2b537c (base 13) to base 12\nAnswer: -436314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.317 smaller than -9\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, -3 in descending order.\nAnswer: 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -1\/12*n**4 + 0*n**2 + 3*n - 1\/6*n**3 + 0. Give f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/15)*t**(-5))**36 assuming t is positive.\nAnswer: t**(-924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 62 = -34 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 3*y + 3. Let h(d) = -4*d**3 + 2*d - 4. Calculate -4*h(k) - 5*t(k).\nAnswer: k**3 + 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8219*o*z - 21*o + 232 with respect to z.\nAnswer: 8219*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21995160 and 2499450?\nAnswer: 109975800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 >= -710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -653, -26\/99, -3?\nAnswer: -26\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*a + 22, -5*a = -18*v + 21*v - 28. Which is smaller: v or 61\/36?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7 (base 13) in base 16?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 3*j)*(-75*j + 5 + 15 + 78*j + (1 - 5 + 2)*(37*j + 27*j - 7*j) - 2 - 2*j + 2) as o*j**2 + f + z*j and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (5 - (-1 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 730 = -257. Suppose 4*x - r = -17. Let g = x - 58. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 365685*i**3 + 2194230*i**2 + 4388540*i + 2925720.\nAnswer: -5*(i - 73143)*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 27031*f - 8033550.\nAnswer: (f - 294)*(f + 27325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*k - 1060, -1025 = -5*l - 13*k + 8*k. What is the remainder when l is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2147, 8560, 19241, 34184, 53383, 76832, 104525?\n\"Answer: -i**3 + 2140*i**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 - 2*y**2 - 9*y - 6. Let l(j) = -j**3 + j + 1. Determine g(h) + 6*l(h).\nAnswer: -2*h**3 - 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6062 + -6065 - (-55 + 3 + -1 + 1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeheeeeheeheeeeeeh. Give prob of sequence eeh.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1293, -2916, -5179, -8076?\nAnswer: -11601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -133, -193, -247, -295, -337?\n\"Answer: 3*m**2 - 75*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmiifmiiimff. What is prob of picking 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:15 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 30*w**4 - 63*w**2 + 169\/2*w**3 - 228 - 346*w + 1\/2*w**5 = 0?\nAnswer: -57, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*z**3 - 249*z**3 - 251*z**3 + 1007*z**3 - 258*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -16 - ((2 - -4) + 1 + 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 2}. Give prob of picking 3 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 13 = 5*m + 5*b, -2*m = 3*b + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, u: 3, w: 1, e: 8, h: 3}. Give prob of picking 1 d and 2 e.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 106 = 2*k, 64 = -2*f - 3*k + 166. Let d = -41 + f. Let l = -6983 - -6985. Calculate the highest common factor of l and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -397, -0.1, 0.5, -0.4, 6\/11 in decreasing order.\nAnswer: 6\/11, 0.5, -0.1, -0.4, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83 in -1\/4, 4, 0.042, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 1191?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 176668555?\nAnswer: -1\/25238365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 41 = -3*g - 12*u, 3*u - 63 = -4*g. Solve 5*d - g = -3*n - 2*n, -n - 4*d + 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36240 divided by -16\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.06 + 43.94. Let u = q + -46. Let x = 61 + -185\/3. What is the smallest value in 1, u, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 127*v - 131*v - 16, -d - 8*v + 3 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5686.4 + 5686. Which is the smallest value? (a) n (b) -0.05 (c) 3 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1270, 3, -7, -393.\nAnswer: -1270, -393, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or 142?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -68*x - 12031. Determine z(-177).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1414 + 2405. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from qwwyqwwy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 882*k**2*r**3 + 6*k**2*r**2 - 2*k**2*r - 30630*k**2 - 22811*k*r**3 + 2*k*r**2 wrt r.\nAnswer: 5292*k**2 - 136866*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326 - -37?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/((-3)\/(-1))*2. Suppose -7 - v = -5*z. Put -2, z, -7 in decreasing order.\nAnswer: z, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let z(q) be the third derivative of q**5\/60 - q**4\/12 - q**3\/3 + 16*q**2. Let w(r) = 3*s(r) - z(r). Solve w(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -53*d + 5. Is b(-1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784939 <= 19634344\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g + 1432 + 7*g**2 - 5*g - 1359. List the prime factors of r(9).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103480 (base 9) to base 12\nAnswer: 2b800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 0. Let s(d) = d**2 + 4*d - 1. Let h be s(a). Suppose 2*w + 28 - 18 = 0. Sort h, w, -4.\nAnswer: w, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 44. Let i(s) be the third derivative of -s**5\/30 - 5*s**4\/12 + s**3\/2 + 25*s**2. Let z be i(t). Solve -h = -3*r + 14 + 4, -z*h + 11 = 4*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 724 + -377. Suppose 9*c - w - 445 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -1, 8.5, -8, 0.1?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 414882?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18435540187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226349056*b*s**3 + 7*b*s**2 + 2*b*s - 41*b + 3*s**3 - 166*s**2 - s wrt s?\nAnswer: -1358094336*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 4*p + 8. Let o be v(-5). What is the greatest common factor of o and 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/14)\/(l*l**(3\/5)\/l) assuming l is positive.\nAnswer: l**(-47\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*o - 4*o, -5*r - 5*o - 15 = 0. Let n be r\/4*0 + 2. Solve 6*q + 8 = n*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 591, 1997, 4361, 7701, 12035, 17381, 23757?\n\"Answer: 3*q**3 + 461*q**2 + 2*q + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4340 and 14?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - l + 4 = -6*l, 24 = 4*p - 2*l. Let h(i) = i**2 + 5*i - 10. Suppose 75*r + 60 = 69*r. Let x be h(r). What is the greatest common divisor of x and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*z + 197 = 0, -82 = 2*n - 3*z - z. Let j = -52 + 21. Let f = j - n. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-36) + 104\/(-18). Let s be 191*2 + o + 5. Suppose -4*t + s = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1380 and 3138948.\nAnswer: 15694740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + u - 19 = 0, -22 = -7*k + 2*k + 2*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -204302\/17 >= -12019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*3)\/sqrt(8) + 1 + sqrt(5) + sqrt(5) + 2.\nAnswer: 3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 245*v**4 - 2520*v**3 - 14360*v**2 + 57200*v - 40560 = 0.\nAnswer: -6, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -2 in descending order.\nAnswer: 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -14 - -28 - (1 + (-6 - 3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*n = -721. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6508 - 6503. Let c(m) be the third derivative of -5*m**2 - 23\/60*m**b + 0*m + 0 + 0*m**4 - 13\/6*m**3. What is the first derivative of c(a) wrt a?\nAnswer: -46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:42 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 8*w + 3*d, -2*w + 7853*d = 7850*d - 7 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1680 (base 10) to base 6\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 - 147. Suppose -140*h = -152*h + j. Solve 4*b + 3*n - 1 + h = 0, 0 = -5*b + n - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182186822*t**2*u**2 + 14*t*u**2 - 64758*t*u + 50*u**2 wrt t.\nAnswer: -364373644*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7. Let s(g) = -4*g**3 - 3*g**2 + 6*g. Let v(b) = 7*b**3 + 5*b**2 - 11*b. Let t(i) = -5*s(i) - 3*v(i). Let l(c) = 2*c. What is w*l(p) + 2*t(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(56)\/sqrt(112)) + (-2 + 2 + sqrt(5) + -2 + sqrt(5))**2.\nAnswer: -4*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.5 (b) 3\/7 (c) -25\/7 (d) -1911 (e) 2\/13 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from ygyyyygygykygyywwyy?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let q(v) = -v. What is -m(n) + 3*q(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eehfeeekefeeekee. Give prob of picking 2 f and 1 h.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/2520 + w**6\/120 - w**5\/120 + 43*w**4\/12 - 94*w**2. Let u(m) be the second derivative of q(m). Give u(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -124, -282, -504, -790, -1140?\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 137 = 2*n, -991 + 315 = -5*t - n. Suppose -9*b - 126 + t = 0. Are -4\/349 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (4\/1 + -2) - -4. Solve -5*a + 3*h + 6 = -2*a, -2*a + t*h + 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/2 - t**3\/6 - t. Suppose -12 = -4*p + 4*s, -4*p + s + 4 + 2 = 0. Give w(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304865609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 277, 358, 511, 748, 1081, 1522, 2083?\n\"Answer: 2*h**3 + 24*h**2 - 5*h + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 47*f - 11. Determine n(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 196*s**3 - 8*s**2 + 8*s - 17. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*v - m, -5*v + 9*v - 4*m = -8. Suppose -v*q = 2*q - 785. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -14. Suppose 2*h = -0*h + m. Suppose 0 = h*l - l. Solve l*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7085789197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide (4885\/(-7))\/(224\/(-2352)) - (-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 370 + -368. Suppose 2*i = 4*m - 2, -21 = g*m + 3*i - 26. Solve 1 = -h, 4*l + m - 4 = -5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1\/2, 2\/97, -18, 318, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-80\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95144503?\nAnswer: 2003, 47501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (11 + -15 - (0 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:42 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**8\/120 - c**4\/8 - 28*c**3\/3 - 4. Let j(i) be the third derivative of s(i). Differentiate j(n) wrt n.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 30*z + 217. Let g be k(14). Which is the closest to g? (a) -5 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/13860 + b**6\/3960 + b**4\/6 + 11*b**2. Let s(h) be the second derivative of q(h). What is t in s(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b**2 + 2\/5*b**5 + 0*b**3 + 0*b**4 + 5 + 5*b. Differentiate d(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, w: 1, z: 13}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*u + 11 = 0, -1 = 7*u - 6*u. Let w(b) = -b**2 + 15*b + 4. What is the remainder when d is divided by w(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504696 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*s + 637 - 133 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18335, 36069, 53803?\nAnswer: 71537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-1)\/(10\/(120\/12))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 12 + 0*m**3 + 3*m**2 - 5*m**3 to b*m**3 + c*m + d + j*m**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -46. Let l = 28 + f. Suppose l*a = 8*a - 16. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, 0.09, 23, -1\/5, 0.3 in decreasing order.\nAnswer: 23, 0.3, 0.09, -1\/5, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let r = 17 - 9. Let k = r - 7.7. Sort -2, q, k in decreasing order.\nAnswer: k, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1834)\/(-76) - (-1060)\/(-424) - 21.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**2*w - 30479477*q**2 + 2*q*w - q + 54997865 wrt q.\nAnswer: 8*w - 60958954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.2 - -7.2. Let l = -23.7 - z. Let y = 3.9 + l. Is y bigger than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.41924487 less than -1.0041?\nAnswer: -2.42334487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)*(-11 + 10). Let o be ((-196)\/(-12))\/(y*2\/(-6)). What is the highest common divisor of 196 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-9 + 11)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/11)\/(42\/224).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4690 + -4690. Which is the nearest to l? (a) -4\/7 (b) 0.4 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100110 (base 2) to base 16.\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1.67922.\nAnswer: 3.35844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1749*g + 274600. Calculate i(-157).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 10*g - 48 = 0, 3647*g - 3659*g - 81 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15bb0 (base 12) to base 14\nAnswer: b48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 24*j + 16*j - 96. Calculate the remainder when 62 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56, 56, 68, 98, 152, 236, 356?\n\"Answer: w**3 - 7*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.53 (b) -1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259912 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -32 + 26 + 1 + -16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 506435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**3 + 2*d**2 + d. Let t be j(-1). What is the units digit of -15*(-1 + t\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25451, -25232, -24867, -24356, -23699, -22896, -21947?\n\"Answer: 73*l**2 - 25524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46546 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 286\/52 + 1\/(-2). Solve -5*s - g = 4*h, 3*h - 10 = 3*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/(-15))\/((-4)\/(-10)). Solve 3*q - 5*a - 13 - l = 0, -3*a = -5*q + 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 + 6 = 0. Let z = l + -4. What is b in -5*b**2 + b + 2 - b + z*b**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 3*g**4 - 4*g**4)*(60 + 7 + 38) + (0*g**3 + g**3 + 0*g**3)*(2*g + 3*g - 7*g).\nAnswer: 103*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -4 (c) 0.1 (d) -0.149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.4 + 3.6. Let z = o + 14. Let l = z - 28.0000055. Round l to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 38. What is a(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*(sqrt(40) - sqrt(160)\/sqrt(4)) + (-2*sqrt(320))\/sqrt(8)))\/((sqrt(80)\/(sqrt(40)\/sqrt(5)))\/(sqrt(5) + sqrt(500)*1)).\nAnswer: 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-3) + 0 + 3 + 0. Let f(u) = 8*u + k*u + 0*u. Let v(c) = -c**2. Determine f(v(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11852562 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13913*o**3 + 13946*o**3 + 5633*o**2 - 5635*o**2.\nAnswer: 33*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 228 - 370 + 207*y + 66 as r*y + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*s - 1312 + 37556 = -291*s for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9087 + -4834. Let g = k + -38225\/9. What is the common denominator of ((-67)\/6)\/1*2 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 9*s**2 + 7*s + 8. Let f be t(8). Let q = 7 - 6.88. Let y = -0.08 - q. Is y at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 715880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 s, and 1 f when three letters picked without replacement from pddswpff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 855500 and 456?\nAnswer: 97527000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -13, 18, -8\/19, -1\/8 in decreasing order.\nAnswer: 18, -1\/8, -8\/19, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/1*(-120)\/25. What is the common denominator of -17\/16 and 6\/2 - (-326)\/t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**6\/45 - 113*r**4\/12 + 9*r + 4. Let y(v) be the third derivative of o(v). Let k(m) = 13*m**2. Calculate y(k(b)).\nAnswer: -208*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13834729589.73 and 3?\nAnswer: 13834729592.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -403 - -396.04. Let j = r - 0.04. Let n = j - -6.6. Which is the third smallest value? (a) n (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 70. Let i be z(19). Suppose 5*x + i*a - 3*a - 36 = 0, -a = -3*x + 30. Solve -b - 2*b = -x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3382975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*p, 4*c - 2*p - 176 = 0. Let t(g) = -4*g**2 + 308*g - 4213. Calculate the lowest common multiple of t(59) and c.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 r when three letters picked without replacement from orbrobrbwowbrooboo.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 23*k**4 + 7*k**3 - 31*k**2 - 7. Let t(b) = -8*b**4 - 2*b**3 + 10*b**2 + 2. Let s(n) = -4*p(n) - 14*t(n). Find the third derivative of s(c) wrt c.\nAnswer: 480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-21))\/(9 - 915\/105).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 - z**4 + 0*z**4 + (-2 - 2 + 3)*(-2*z + 2*z - z**4) - 4*z**4 + z**4 + z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + -3 + 1 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 30.7. Let t = 30 - m. Put 1\/4, t, 0.4 in ascending order.\nAnswer: t, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11528 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 1237172?\nAnswer: 1237171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 2*s**2 + 9*s + 6. Determine f(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158907 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 91.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121? (a) -0.7 (b) 3 (c) 0 (d) 1\/2 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -8, -5*t + 3*w + 5 = -6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-38) - 5952\/(-228). Calculate the least common multiple of 14 and (-4 + 6)*(j - (4 - 4)).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - -5. Let d be (-1 - -2) + (0 - -7). Calculate the greatest common divisor of t and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + 1 + -1 + (-1 + sqrt(5))**2)*-5.\nAnswer: -45 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65357.\nAnswer: 65357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 307 and 0.07.\nAnswer: 21.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287786\/7 smaller than 183968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 150\/108 - (-1 - 1). Let o = -44\/9 + t. Put -2, o, 2\/19 in decreasing order.\nAnswer: 2\/19, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 858440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21009*b + 21007*b - 42018*b. Let h(d) be the second derivative of 4*d**4\/3 - d. What is w(h(a))?\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*z - 3225 + 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -6267 and -319660\/51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.2 - -7. Let m = -6.3 - g. Are m and -79 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 22 - 22 + 2*i + i. Let m(f) = -14*f. Let p(x) = -x. Let o be ((-42)\/35)\/(2\/10). Let g(u) = o*m(u) + 91*p(u). Calculate g(t(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 283, -1\/2, -4\/5, 2?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27403 in -0.1, 4\/5, 156?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1388 + 1396. Solve -16 = -23*i + 19*i + 4*c, 3*c = -2*i + x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12) - (-652)\/24. Let h = a - 21. Let l(w) = w**2 - 7*w + 7. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*n = 20, -10*k - 8 = -6*k + 2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let d be y(9). Suppose -d = -a + 5. Let m = -9 + a. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 27*q - 81 = 50*s, 9*s + 3 = -q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510 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: Let w(s) be the third derivative of s**6\/120 + 7*s**5\/15 + 25*s**4\/12 - 22*s**3\/3 - 41*s**2 + 2. Let p be w(-26). Solve -2*r - p = 0, -r + 15 = -5*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + s**3 - s**3 + (-s - 2 + 2)*(0*s**3 - 5*s**3 + 4*s**3) + 8 + s**4 - 8.\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40, -49, -66, -97, -148?\n\"Answer: -y**3 + 2*y**2 - 8*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474029*v - 473915*v + 4674 = 0 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 6*x**2 + 5*x - 15. Suppose 4*r = -12, -4*f = 5*r - 5 - 4. What is the units digit of d(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-392)\/588)\/(2\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3204*z**3 - 8424*z**3 - 60055*z - 2*z**5 - 176*z**4 - 53824*z**2 + 11277*z = 0. What is z?\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 39768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/52986 and -38\/26493?\nAnswer: 52986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8)*32\/30. Let r = -1 - -8.7. Let n = 8 - r. Sort -0.1, q, n in decreasing order.\nAnswer: q, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184994.\nAnswer: 2, 17, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**2 - 6. Let u(c) = -c**2 - 1. Let b(m) = 6*u(m) - x(m). Let l(d) = 12*d. Determine l(b(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111000020 (base 3) to base 5\nAnswer: 300413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551774238.\nAnswer: 2, 3, 2141, 42953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, -42, -3 in decreasing order.\nAnswer: 5, 4, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from eeeeeeeeyeeeeeeyyeie?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17965 by -1.\nAnswer: 17965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 25, 74, 175, 346?\n\"Answer: 3*u**3 - u**2 - 3*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 14. Let t(l) = 1230*l**2 - 123*l - 1. Let z be t(1). Calculate the highest common factor of z and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*c + 1015 = 0, 2*f + f - 795 = -3*c. List the prime factors of f.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 12*b = -17*b + 45, -2*p + 3*b - 35 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.216? (a) 22\/5 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1\/4*h**4 - h**2 + h + 0 - 1\/20*h**5 + 5\/6*h**3. Let d be p(4). Which is the nearest to 1? (a) 1 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5)\/(((c\/c**(-1\/2))\/c*c)\/c)*((c**(-1\/2)*c)\/c)**49)\/((c*c**(-1))\/c*c*c**7*(c*(c**0\/c)\/c)**(1\/13)) assuming c is positive.\nAnswer: c**(-2114\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 14) to base 4\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1090, 8, 2.\nAnswer: -1, 2, 8, 1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 37322751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244 - 269.1. Let t = o + 25.100143. What is t rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o - 196. Determine r(-35).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -153?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 860, -3, 1, -24342 in decreasing order.\nAnswer: 860, 1, -3, -24342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*g - 408*g + 3*x = -140872, -5*g + 352141 = -x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -409*q - 4. Let o(p) = 67072*p + 655. Let z(k) = 4*o(k) + 655*u(k). Let f(i) = 2*i. Give f(z(c)).\nAnswer: 786*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = 26*f - 12. Suppose -f*l - 5*o = -17, 3*l = -4*o + 2*o + 11. Suppose -l*w = 3*w - 1260. What is the highest common factor of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from ryryryy?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9461.057 centuries?\nAnswer: 11353268.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/10 + 3 + 2\/(-4). Solve 6*j - d*j = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 285063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30 + 28)\/((3\/2)\/(-3)). Solve f = -4 + r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from piskklas.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 76 - 22. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -21869563.\nAnswer: 16\/21869563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161 is divided by 387.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmbbbmmmmmqmsbv. What is prob of picking 1 b and 1 q?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, 2*z + 3 = m - 3*z. Suppose -m*u = -6*u. Solve u = k - 2 + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59709, 59707, 59705, 59703?\n\"Answer: -2*m + 59711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03454 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.03. Let r = -128.93 + 128. Let x = j - r. Put x, 2, -1\/6 in increasing order.\nAnswer: -1\/6, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**3*i**2 - 2*h**3*i - 1067*h**2*i**2*n - 3*h**2*i*n + 2*h*i**2*x + 2*h*i*n*x - 2*h*i*n - 164*h*n*x - 2*n wrt i?\nAnswer: -6*h**3 - 2134*h**2*n + 4*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:44 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -10878 + 3059. Let b(o) = -366*o - 375*o - 375*o + a*o. Let m(t) = t + 1. Determine 3*b(f) + m(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*m - 46 = 297*m + 174 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (-27 + 8 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b + 3*b**2 + 36*b - 16*b - 2*b**3 as a*b + k*b**2 + j + u*b**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c83c (base 15) to base 9.\nAnswer: -664183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-15\/2))\/n)\/((n*n**(-11)\/n)\/n))\/(n\/n**15*n\/(n\/(n*n*n\/(n\/n**20)*n*n*n))) assuming n is positive.\nAnswer: n**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1072751*g**3 - 2*g**2 - 29184*g + 49?\nAnswer: 6436506*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*h - 8*h. List the prime factors of h\/((-4)\/(-2)) + 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*h + 2*l + 41 - 8, 9*h + 4*l + 11 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2744 = -2*r + 2*s, -4*s - 2762 = -r - r. What is the remainder when r is divided by 271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15561 - 15561.3. Which is the nearest to 881? (a) 4 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d (base 16) in base 2?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqsddqzfqzdszsss. What is prob of picking 1 f, 1 z, 1 q, and 1 d?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605815683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 139, 5414, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49952899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9578322, 19156645, 28734968, 38313291?\n\"Answer: 9578323*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*s**3*t + 255*k*s**3 - k*s**2*t - 2*k*s**2 - 2*k*t - 2*k + 42206*s**3*t + 202*s**2*t + 4*s*t + 1 wrt s.\nAnswer: -6*k*t + 1530*k + 253236*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8384 divided by 2.\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.3, 1\/47, 6, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)\/l*l**(-4\/3)*(l*l\/(l\/(l*l**0*l)*l))**4 assuming l is positive.\nAnswer: l**(122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 14*b**2 + 937*b + 950.\nAnswer: -(b - 25)*(b + 1)*(b + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*k - 4. Let v(h) = 8 - 48184*h**2 + 48185*h**2 + 9*h + h. Calculate v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*x + 2*w - 8, -x - 5*w = -2. Suppose -2*h + 2*t + 8 = -x*t, 5*t = -5*h + 95. What is the remainder when 53 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -8, 19 in descending order.\nAnswer: 19, 5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 8. What is r(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28433 or 540216\/19?\nAnswer: 540216\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307682, -307683, -307684, -307685?\nAnswer: -307686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6 = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u - 137*u**2 - 18*u**3 + 22*u - u - 18*u + 21*u**3 to i*u**3 + y + x*u**2 + h*u and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttilktiklktil. Give prob of picking 1 l and 3 t.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2938, -2942, -2946?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b - 46. What is p(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40415467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 94. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 6, g: 1, i: 1, v: 1}. What is prob of sequence ccci?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66935*d - 64449*d + 44412*d.\nAnswer: -86972*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/2)*j*j)\/((j**8\/j*j)\/j))\/(j*j**(1\/4)*j*(j*j\/j**(-4))\/j))**(7\/2) assuming j is positive.\nAnswer: j**(-301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000111000 (base 2) in base 9?\nAnswer: -4255","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.9 - 25.3. Let k = 18.7 + j. Which is the biggest value? (a) -0.4 (b) k (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 + 12. Let o be n(7). What is the second derivative of m**3 + 2*m**3 + 129 + 10*m**2 - o*m - 127 wrt m?\nAnswer: 18*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456558 + 109054 = -2348*x for x.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((2 - 3) + -34 + 38).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16676*o**2 - 16749*o**2 + 33025*o**2.\nAnswer: -400*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*13953957\nAnswer: 26512518.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a1b0 + -53a0?\nAnswer: 4a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -o + 4*h, -12*o = -11*o + 4*h - 279. Let z = 288 - o. What is the remainder when 13 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (416\/13)\/((-2)\/(-12)). Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -439, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 290*n - 1240.\nAnswer: 5*(n - 62)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 32*n = 0. Let b be (6\/7)\/((-1)\/(-7)). Suppose n = 9*y - b*y - 48. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 4\/2 + 3 + 3393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 4437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.403 (b) -7.8 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1577608925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15411.\nAnswer: 3, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -630*b**4 - 41585*b**3 - 210*b**2 + 7940*b + 1320 = 0.\nAnswer: -66, -2\/7, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1502 by -39.\nAnswer: -1502\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 654.91 - -11.09. Let n = 665.6 - t. Which is the smallest value? (a) 3 (b) n (c) 4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6062472 and 155142?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + 2*s + 65. Let m = 34 + -34. List the prime factors of z(m).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) 5 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/24)\/(3\/((-81)\/(-6))). What is the first derivative of 3*l**4 - 6 + 34 - t wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s - 2*s**2 + (3*s + 2*s - 3*s)*(2*s - 2 + 2) + 2*s - 2*s - 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*r - 2 = 0, w - r + 13 = -3*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 3*i**3)*(21 - 18 - 19).\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 2*d**3 + 3*d**3 + (-4*d - 4*d + 5*d)*(-2*d**2 + 1 - 1 + (22 - 22 - 13*d)*(-4*d + d + 2*d)).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*1.3667\nAnswer: 9.5669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h - 6. Let l be y(5). Let c = l - -110. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {b: 2, y: 1, e: 6, x: 3, w: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2. Let x(q) be the third derivative of q**6\/180 - 7*q**3\/6 - 4*q**2. Let s(j) be the first derivative of x(j). Calculate s(h(y)).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32090 is divided by 30058.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 596009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/2, -8, -0.7, -0.5, 377, -7?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -172 - ((-54 - -27) + -65)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 + 2*r - 8. Let i(z) = 30*z**2 + z + 68. Let c(d) = 15*d**2 + 41. Let b(y) = -7*c(y) + 4*i(y). Determine 6*b(j) - 11*v(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = d, -2*x + d = -6*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*b**2*i**2*z - 2*b*i**2 - 28*b - i*z wrt b?\nAnswer: -360*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*q + 3*q = 8226, -2*q = y - 4110. Let l = y + 873. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13577 or -13518?\nAnswer: -13518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5, -5*x - 88 = -5*k + 5667. What is the highest common divisor of 1296 and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.0584\nAnswer: 0.01168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1403 (b) 2 (c) -0.1 (d) -0.4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 6 + 4)*(-4 - 2 + 3) + 1 - 4 + 1)*(4*c**4 - 2*c**4 + 0*c**4).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9872.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 546 - 28*m + 8*m**2 - 6*m**2 - 542. Suppose 2*k + 8*q = 3*q + 40, 2*k - 28 = q. What is the units digit of w(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129230.\nAnswer: 2, 5, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -20 + 16 - 26 - (5 + (-9 - -17)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 - -a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 12. Let k be z(-11). Suppose -k = -5*y + 28. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 2*p**3 - 36*p**3 - 176*p**2 + 97*p**2 + 79*p**2.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f - 29. Let l(k) = k**3 + 12*k**2 - 12*k + 16. Let u be l(-13). Let q be p(u). Which is the second biggest value? (a) 0.5 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3081 in -2, -9, -2\/3, -2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1783 times 1.188\nAnswer: -2118.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204484, 412746, 621008, 829270, 1037532?\nAnswer: 1245794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 20*t - 1. Let w be u(-5). What is the common denominator of -53\/7 and ((-7)\/(-2))\/(w - (-600)\/(-42))?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Calculate the least common multiple of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1809736 is divided by 1270?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, o: 14}. Give prob of picking 3 b.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Suppose -m*j = 3*l - 6*l + 15, 6 = -3*j - 3*l. What is the biggest value in j, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*w - 33 = 0, 0 = 5*g - 0*g - w - 51. Suppose d = 3*r - 29, -13*d - 6 = -g*d. Let t(q) = -2*q - 13. Calculate t(r).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(18) - sqrt(288)) + 2.\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.719 and -16?\nAnswer: -11.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - (-2 - 20 - (-8 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.70983 seconds in hours?\nAnswer: 0.002697175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48351732 and 53388?\nAnswer: 145055196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 865*t**2 + 466*t**2 + t + 447*t**2 to the form m*t**2 + b + v*t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/11 - 5 - -1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-6\/5)*z)\/(z*z**5)*(z\/(z*z**(-2)))**(-3\/10)*(z\/z**(-2\/7)*z**12\/z)**(-4\/3) assuming z is positive.\nAnswer: z**(-2224\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.36 - 36.24. Let u = 2.749323657 - 40.349321787. Let t = k - u. Round t to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2462, -9832, -22116, -39314, -61426, -88452?\n\"Answer: -2457*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15977.8 rounded to the nearest one hundred?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -17*p**5\/4 - 1765*p**4\/24 + 70*p**3\/3 - 50*p**2 + 4*p. Factor m(b).\nAnswer: -5*(b + 7)*(51*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 177. What is the common denominator of ((-3)\/18)\/(2\/o) and -11\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322415*j**4*n + 2*j**4 - 19*n + 2732 with respect to j.\nAnswer: 1289660*j**3*n + 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -4246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5736 by 22951.\nAnswer: -5736\/22951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1 in descending order.\nAnswer: 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95*16\/200*(-23)\/(207\/(-45))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.08, 2\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20133\/8 + 2529. What is the common denominator of -50\/3183 and z?\nAnswer: 25464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1 - -5392) + -4. Suppose -5*p + 6067 = -q. Let n = -894 + p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240 + 239. Is o < -5\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*z + 9, -6*c + 5*z = -8*c + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -10.806 (b) -0.15 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000094871 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*l = 3355, -3482 - 6579 = 3*w + 4*l. Is -3353 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*s + 5, -4*s - 2*c + 1 = -1. Suppose -s*w - 4*q = w + 148, 169 = -5*w + 3*q. Let k = w + 100. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*r + 2 = -7, 0 = 5*u + 5*r - 5. Calculate the lowest common multiple of 277 and u.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0 - 3 - n + 2. Let c be f(-5). Solve h - c*h = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 3. Let c = q - 2.8999942. Round c to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8*10*2. Let t(l) be the second derivative of -l**7\/840 + l**6\/72 - l**4\/24 + l**3 - 12*l. Let b(i) be the second derivative of t(i). Give b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*1 + sqrt(132) - 5*(sqrt(132) + 2*sqrt(132) + sqrt(132) + sqrt(132)))\/(1*sqrt(84)\/(sqrt(7)*-2)).\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -35*s**4\/8 - s**3\/6 + s**2. Let z be j(-1). Suppose -5*w = q - z, 0 = 3*w - 0*q - q - 64. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105106933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 95 = -43*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 157081413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 3*j + 110 = 4*d, 4484*j - 37 = -2*d + 4481*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2833, 2837, 2843, 2851?\n\"Answer: k**2 + k + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2424 and 576924?\nAnswer: 116538648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h - 2*u - 21 = -58*h, -h + 11*u + 102 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/40*-16*140\/(-384).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40608 and 1114464?\nAnswer: 10030176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1362, -674, 6, -2 in descending order.\nAnswer: 1362, 6, -2, -674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 4321254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14954, 11 in descending order.\nAnswer: 14954, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -856.07996 rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1677.633 and 11996.\nAnswer: 10318.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 i when three letters picked without replacement from irrprprrrrdpdirdd.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448721, -1794884, -4038489, -7179536, -11218025, -16153956, -21987329?\nAnswer: -28718144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102100 + -1?\nAnswer: -102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28990966?\nAnswer: 2, 331, 43793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -627 + 632. Suppose 6849 = -0*r + r. Suppose -3*d + r = 3*z, z + 70 = -q*d + 11477. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}