diff --git "a/data/dm_maths/full_data/11148_11255.jsonl" "b/data/dm_maths/full_data/11148_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11148_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a = -146.9999933 + 147. Round a to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 929 - 927. What is f in 4*f**3 + i*f + 0*f**4 - 2\/3*f**5 - 16\/3*f**2 + 0 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 880 divided by 176.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 12050*w - 27. Determine h(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -17111.\nAnswer: 33\/17111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 19*n**2 - 84*n + 1223. List the prime factors of o(14).\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698166.2l to millilitres.\nAnswer: 698166200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + k = 5, 2*v - 37 = 3*k - 19. Solve -4*r + 3 = -v*y - 8*r, -3*y - r + 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126392 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x - 51*x = -102*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - r + 1. Let c(w) = -7*w**2 - 4*w + 5. Let f(j) = -j**3 - 17*j**2 - 2*j - 40. Let k be f(-17). Determine k*n(t) + c(t).\nAnswer: -t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-684)\/(-570)*((-66)\/36 - 2 - -4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1010000010111000001110 (base 2) to base 14\nAnswer: -4c78bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 298 = -373. What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*f = 27, m + 2*f - 8 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, a: 2, b: 5}. Give prob of picking 2 a, 1 t, and 1 b.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -81. Sort 0.4, x, -1\/3 in increasing order.\nAnswer: x, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 950 - 1002.9. Round u to 0 dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + ((-15)\/(-10))\/((-3)\/(-260)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 4*h = -p - 208, p + h = 42. Let x = p - 24. What is the highest common factor of x and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -88\/83, 1 in ascending order.\nAnswer: -88\/83, -2\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2023.605343 to 1 decimal place.\nAnswer: 2023.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 5, -4.3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 20*n**4 - 150*n**3 - 100*n**2 + 145*n + 120 = 0. Calculate n.\nAnswer: -3, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v + 50*v - 72 = 0. What is the remainder when v is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -8 + -4 + 6. Is ((889 - 0)*u)\/(-3 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*c - 41*c. Let l be 3*(7 + -4 - c). Suppose 0 = 4*h - 3*h - l. Calculate the lowest common multiple of 30 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 6*z - m, -4*m = 3*z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 84\/490*(-10)\/(-180)*-28\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40159951, -40159956, -40159961, -40159966?\n\"Answer: -5*q - 40159946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34143, -68039, -101935, -135831?\nAnswer: -169727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s + 4. Suppose 3*v + 2*t = t, 0 = -4*v - 5*t. Suppose v*r + 3*r + 9 = 0. Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16009 = 2*k - 95699, 0 = 2*k - 2*h - 79710. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - 213?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2938957 and 3573200.\nAnswer: 1175582800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 + -42. Let i = 332.5 + p. Which is the closest to 0.3? (a) 0.3 (b) i (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4 = 0, 4*h + 12 = 4*f - 0*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 559 = 101. Calculate the remainder when g is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.093 - 0.493. Which is the second smallest value? (a) w (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r - 20. Let u be p(10). Let j be (-40)\/u + 386\/14 + 4. Which is smaller: j or 35?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 24. What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 8*v**2 - 30*v - 159. Does 37 divide c(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:22 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419565 is divided by 337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g = 17*g + 20 - 125 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.757 + 11128.\nAnswer: 11129.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.54078 to 2 dps.\nAnswer: 22.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-63261)\/(-264))\/71*-2\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 18*c**2 - 15*c + 35. Let d be g(-17). Let t(n) be the first derivative of 19*n**4\/4 + 2*n**3\/3 - n**2\/2 - 1. Does 20 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*x + 80418 = 0, 14 = 3*x - 10. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 553899 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 259593594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8787.484 rounded to the nearest one hundred?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 622544040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2585\/4, 0, 5, -1, 1 in increasing order.\nAnswer: -1, 0, 1, 5, 2585\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 28\/(-5) + 3. Suppose -10*n = -21*n + 6*n. Factor 2\/5 - p*a**2 + n*a.\nAnswer: -2*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9*(-3)\/(-9). Let c be (-855)\/90 + (7 - -2). What is the second smallest value in p, c, 29?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 13119449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1\/2)\/j))**1\/(j\/(j\/(j\/(j**(1\/7)\/j)))*j*j**(-3\/14)*j) assuming j is positive.\nAnswer: j**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1945216, 3890433, 5835650, 7780867?\n\"Answer: 1945217*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6*k - 5 = -k, z + 15 = -4*k. Suppose x - 2 + 12 = 2*h, -2*x = -h + 8. Let f = h + -8. Which is the nearest to 2? (a) z (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 - 3*t + 20. Let y be -3 + 4\/((-4)\/3). Let u = 91 - 69. Calculate the least common multiple of u and m(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 697503 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let d(a) = a**2 + 7*a + 11. Let c be d(-8). Solve h*w - 4*m - c = m, 0 = -4*w - 3*m - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27601.221 hours in days?\nAnswer: 1150.050875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(272)*1 - (sqrt(272)*-2 + 0) - -5*(0 + sqrt(272))*1) + 5)*2)**2.\nAnswer: 1280*sqrt(17) + 69732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*x**3 + 205*x**2 + 60*x.\nAnswer: -5*x*(x - 4)*(11*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20072 * 81669.\nAnswer: 1639260168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + x**2)*(-x**3 - 4*x**3 + 6*x**3) + 10447*x**3 + 985*x**5 - 10447*x**3.\nAnswer: 984*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/3394672 and 53\/22.\nAnswer: 37341392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 213047 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*s - 72*s + 199 - 1369 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 39221.\nAnswer: -2\/39221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/15 + 32\/10. Suppose 2*j + q*j = 80. Suppose 0 = 5*u - u - j. Solve i - 11 = -3*m, 5 = u*m + 3*i - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 128077328*j + 2050475243452448.\nAnswer: 2*(j - 32019332)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859 + -556. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 - 5*q**4\/12 + 5*q**3\/6 + 6*q**2. What is the remainder when s(-7) is divided by 15 - 2\/(3 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89231669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08742 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18973*o**3 + 73014*o**2 - 73014*o**2 - 2 + o**3 + 2 + (-3*o + o**2 + 3*o)*(2*o + 0 + 0).\nAnswer: -18970*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 29*g - 23 - 84.\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/428968 and -97\/2784?\nAnswer: 5147616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82508*d**4*x - 24*d**3*x**3 - 21*d**2*x**3 + d**2*x**2 - 9*d*x**3 + 59*d*x - x**2 wrt d.\nAnswer: -1980192*d*x - 144*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*r - 13, -2*g - 4*r - 22 = -r. Let i(a) be the third derivative of -3*a + 7\/6*a**3 - a**2 + 0 + 1\/24*a**4. Give i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 3*f + 8*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2632036 divided by -119638\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -1, -1176, 5, 1, -5, -3 in ascending order.\nAnswer: -1176, -5, -3, -1, 1, 5, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from kaakqqqk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 32. Suppose 31 = 2*a - 3*w + 11, 2*a = 2*w + g. Are a and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**2 + 2404032138 - 2404032138.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502 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: Put 8, -22\/265, 0.5, -2 in increasing order.\nAnswer: -2, -22\/265, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2\/2 - 10*b - 4. Let m be s(10). Find the first derivative of 2*y**3 - 2 + y**3 + m*y**3 - y**3 wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4614*t**3 - 9304*t**3 + 3893*t**3.\nAnswer: -797*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:40 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 1117 - 2966. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7787, 30032, 67131, 119090, 185915?\n\"Answer: r**3 + 7421*r**2 - 25*r + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + -30 + 11 + -16 + 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k, 5*h - 19*k + 14*k = -30. Which is the fourth smallest value? (a) h (b) 4 (c) 0.3 (d) 378\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Solve -5*a = 4*f, -a + 0 - q = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 3*z + 3*z. Let g be n(4). Suppose 5*j - 118 + 3 = -4*h, 4*j = -4. Calculate the greatest common factor of g and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998\/(-60)*((-7100)\/(-450))\/(-71)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1023746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/64513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from xbsisis.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + y + y - 5*y - y - y as v + r*y and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, l: 1, h: 3, s: 4, a: 2}. What is prob of sequence sa?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -611, 2 in increasing order.\nAnswer: -611, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1767530296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b + 31. Give p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (2 + -4))*(-3)\/3. Let k(i) = -196*i**2 + 2*i + 2. Let m be k(s). Let q = -971 - m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -49 + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*v + 248 = 12*l, 0 = -2*l - 2*v + 122. Calculate the greatest common factor of l and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2371*23.\nAnswer: 5.4533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17996?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/30 greater than or equal to -3739704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 48. Suppose 8 = n*b - 12. Suppose v - b = -4*a + a, 0 = 5*a - 3*v + 2. Solve -c = a - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 972148 (base 10) to base 12\nAnswer: 3aa704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 10. Let t be h(8). Suppose -3 = t*q - 3*n - 11, 4*q - 4*n - 24 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 11*u**3 + 4*u**3 - 32*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -884*a*k**4 + a + k**4 + 285 wrt k?\nAnswer: -3536*a*k**3 + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1243222010 - 4?\nAnswer: 1243222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011110100101011 + -101001111?\nAnswer: -11011111001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-10))\/((-6)\/4). Suppose -184*n = -177*n. Let s = -223\/15 - -15. What is the closest to n in -1, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32440455 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g**4 + 5*g**3 + 5*g + 66. Let s = -207 - -205. Let n(b) = -b**3 - b - 2. Let c(l) = s*x(l) - 10*n(l). What is the first derivative of c(w) wrt w?\nAnswer: -136*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5056 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95744 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-156)\/(-20) + -7. Which is the third smallest value? (a) t (b) -1\/60 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232341 (base 5) in base 12?\nAnswer: -11b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2 - 14754*m*n**2 + 47*m*n - 113226197*n**2 wrt m.\nAnswer: -4*m - 14754*n**2 + 47*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(405))\/sqrt(9))\/(-4*sqrt(9)*-1))**2 + (2*sqrt(360))\/((sqrt(72) + sqrt(8))*5))*3.\nAnswer: 15\/16 + 9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 751917338 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-21) - (-4257)\/(-2079). Let y be (-5)\/(-24 + -1) + (-4)\/(-80). Which is the closest to y? (a) u (b) -0.027 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 36.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 3*t**2 - 45*t - 49. Let l be p(6). Let o = 0.03 + -2.03. Which is the second smallest value? (a) 2\/9 (b) l (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/40 and 29\/5435.\nAnswer: 43480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:24 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 + 4*n**3 - 144*n**2\/7.\nAnswer: 2*n**2*(n - 4)*(n + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + 0.3. Let w = -5.5 - -5.1. Which is the nearest to w? (a) 4 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwvwvvwvwvvvvvvvvv. Give prob of sequence vwww.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-5)*10\/15. Let r = 4\/5 - i. Suppose -v + 0 = 3. Which is the second biggest value? (a) r (b) v (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100410 is divided by 564?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 2*k + 26. Let m be l(-4). What is the second derivative of -m + 34*x + 1 - 781*x**3 + x**2 + 784*x**3 wrt x?\nAnswer: 18*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28886*r**3 - 2*r + 28900*r**3 - r.\nAnswer: 14*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7421169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 1.313575.\nAnswer: -9.195025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2108 divided by -2.\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, f: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 3. Let l be (6\/5)\/((-1)\/5). Let g be ((-6)\/15)\/((-2)\/(-10)). Let b(f) = 2033 - 7*f**2 + 6*f**2 - 2032. Give g*k(r) + l*b(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b - 3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318*a - 8554*a + 3632*a - 10887*a.\nAnswer: -17127*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + z, -2*z + 16 = -5*d + d. Let w = 10 - d. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530054866 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*t**2\/9 + 284416*t\/9 - 83566592\/9.\nAnswer: -2*(11*t - 6464)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 7. Let d be v(6). What is the highest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 8. Let s(y) = -y - 8. Let o(f) = -5*c(f) + 6*s(f). What is o(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2 + 36*t = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2465 divided by 2465.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.069672871 * -1\nAnswer: 0.069672871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -330341 (base 6) in base 5?\nAnswer: -1333344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/219 and -35\/6813?\nAnswer: 497349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0.44, 1\/5, -4\/3, -5 in descending order.\nAnswer: 0.44, 1\/5, -4\/3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416 + -420. Which is the third biggest value? (a) 0.3 (b) -6 (c) -0.3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 8*i - 2. Calculate o(-8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -476 + 478. Solve -20*b - 13 = 2*l - 19*b, 2*l - v*b = -4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Suppose x = -4*y + 28 + 8. Suppose -4*v + 65 = y. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*g - 30, -u = 4*g + 3*u - 8. Suppose -2*y + 1370 = g*a, 5*a = 4*y - 2*y - 1343. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, 3, -1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24117638.\nAnswer: 2, 12058819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 93992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 480, 462, 432, 390?\n\"Answer: -6*y**2 + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117.5142 - -0.1858. Let p = b - 0.7. Let x = p + -118.21. What is x rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10. Suppose k = 4*h - h - 72. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161847, -2, 3, -691 in decreasing order.\nAnswer: 3, -2, -691, -161847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*r + 3. Let v(u) = -13*u + 7. Let i(k) = 6*k - 3. Suppose 4*w - 18 = -t - t, 4*t = 12. Let p(z) = w*v(z) + 7*i(z). Give p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + o = 0, 2*o = 4*w - 3*o. Suppose -q + 60 - 23 = 3*m, w = -3*m - 4*q + 31. Solve 0 = -3*h + 12, -2*h = t - 0*h - m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 3739757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-1)\/(-1)*-2). Suppose 0 = 4*w - 4*j - 36, l = 2*w - 0*j + j - 6. Solve q + 3*c = 6*q - 14, 30 = w*q + 5*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 - 9*v - 7. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52324 = -10*x + 22986. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -2*y, 0 = 3*p - 5*y - 490. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 11 + 4. Let d be (-4 + 28\/5)*25. Suppose w*o - d = o. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.007658 rounded to 1 decimal place?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3003 + -52421?\nAnswer: -55424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 4*x**2 + 2*x - 2. Let h(z) = -z. Let t be h(5). Suppose 0 = 15*v - 24 - 81. What is the remainder when m(t) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.5 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -35*x**3 + x**2 + x + 1. Calculate f(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4 + 6, -2*p - 4*y + 176 = 0. Suppose 5*a - 3*a = p. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293429373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -250 - -349. Suppose -o = -9*t + 1296. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 14*c - 2*t = 0, -5*t - 4 = 2*c. Let i(n) = 2*n**3 - 9*n**2 + 39*n + 19. What is the hundreds digit of i(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1448656474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16215\/(-460))\/((63\/6)\/(-7))*2\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 10*a**4\/3 - a**3\/3 - 3*a**2 - 88*a. Find the second derivative of v(r) wrt r.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + i**2 - 7 + 1 + 2*i**3 - i**4 as v + a*i**2 + g*i + f*i**3 + j*i**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(112) - sqrt(112)*-4*6)**2.\nAnswer: -140000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41688020*x**4 - 70*x**2 + 12*x + 401?\nAnswer: -1000512480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163431*i**3*y**3 + 3*i**2*y**3 - i**2*y - 2257*y**3 wrt i?\nAnswer: 980586*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -11316.7863561?\nAnswer: -11297.7863561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2\/2 + 3*o + 17. Let j(m) = -2. Determine 2*g(q) + 3*j(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300\/629 - 22\/37. Sort -3, -2, c in decreasing order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18594*f**2*l**5 + 285*f**2 - 24*l wrt l.\nAnswer: -371880*f**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 + y - 7. Let i be k(5). Let b(j) = -6*j - 4. Let q(l) = -2*l - 1. Let n(h) = -3*b(h) + 10*q(h). What are the prime factors of n(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9411*h + 4709*h + 91 + 4687*h + 11473*h**2 wrt h?\nAnswer: 22946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2726 + -2471.6. Let q = d + -254. Put q, -0.07, -4 in ascending order.\nAnswer: -4, -0.07, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5\/7 - 2880*y**4\/7 - 231432*y**3\/7 - 795584*y**2 - 39727740*y\/7 = 0.\nAnswer: -31, -13, 0, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -354*0.066788\nAnswer: -23.642952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-88) + 1\/8 - 656. Let i = f - -668. What is the remainder when 54 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/30 + o**4\/6 + o**3\/2 + 2*o**2. Let y(s) be the first derivative of m(s). Differentiate y(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 3*u + 173. Let i be m(0). Suppose 3*d - 1153 - i = 0. Is 75 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*t + 60 = 0, 0*t = -5*t + 5. Suppose 0 = -u*f - 13*f + 319. Solve 5*n - 6 = -f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48046026, -48046020, -48046014, -48046008?\n\"Answer: 6*x - 48046032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y**2 - 5 + 5.\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 4. Calculate the remainder when y(-9) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -99. What is the second derivative of -z + v*z - z - 24*z**3 wrt z?\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0 - 67*d + 5 - 3. Let s = -2 - 1. Is v(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1320549953 rounded to 6 decimal places?\nAnswer: -0.132055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (402\/3015)\/(2\/18)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1, 2, -22, 3 in decreasing order.\nAnswer: 37, 3, 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776773917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 4*n - 3. Let g be i(-2). Let t(v) = v**2 + 7*v + 8. Let s be t(g). Solve s = -r - 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6bd4b (base 15) to base 6.\nAnswer: 11211555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -270.9777 - -271. Let m = y - -0.023. Let h = m - 0.04530237. Round h to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1008 and 81\/1328.\nAnswer: 83664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 334.2 times -0.11\nAnswer: -36.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/((-118)\/(-138768)*14)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1540 and 96558.\nAnswer: 965580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 493455495 a multiple of 7215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94974 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7304257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*u**3 - 402*u**3 - 275*u**3 + 639*u - 639*u.\nAnswer: -472*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(18\/(-3) - 0). Suppose -p = 4*j - 3*j. What are the prime factors of 3*(0 + (-64)\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125.9 - 126. What is the nearest to -3 in z, 3, 2.7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12128313823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 5) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39808727?\nAnswer: 7, 773, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35114.55 millilitres to litres.\nAnswer: 35.11455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*12\/(-84))\/(4*4\/128).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.42 rounded to zero dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-w - 2 + 2) - 38 - 2*w + 38 - 150*w - 1775 + 1775.\nAnswer: -153*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Suppose -4*r - 2*y = -126, -j*y + y + 132 = 4*r. Solve 0 = -3*q - k - 4*k - 24, -5*q - 5*k - r = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101131 (base 4) in base 2?\nAnswer: 10001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123795, -123792, -123789, -123786?\nAnswer: -123783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1854 and 535554.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -3*a**4\/8 + 9*a**3 - 51*a**2\/4 - 1458. Factor q(g).\nAnswer: -3*g*(g - 17)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 733792*c**2\/3 - 13206798*c - 178285212.\nAnswer: -2*(c + 27)**2*(c + 366842)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 515957.89 rounded to the nearest 100?\nAnswer: 516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -40*i**3 + i**2 + i - 1. Let a be z(1). Let l be 6\/a + (-3)\/13*-18. Determine m so that 0 - 5*m**2 + 25\/4*m**5 - 21\/4*m**3 - m + 5*m**l = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7735, 7736, 7737, 7738?\n\"Answer: z + 7734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 24*z)*(9 - 3 - 2 + 0 + 1 - 2 - 1 + 1 + 1 + (3 - 7 + 2)*(2 + 1 - 5) + 2 + 0 - 4 - 3 + 0 + 2 - 1 + 0 + 2).\nAnswer: -144*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83960.78 kilograms to grams.\nAnswer: 83960780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/16560 and 37\/19519065.\nAnswer: 312305040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63174.1 - 2332394.1. Let l = -2269221.4999972 - r. Let f = 1.5 + l. What is f rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 4130*k + 843165.\nAnswer: 5*(k + 369)*(k + 457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z - 60. What is the remainder when v(22) is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 112?\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 47 = 3*m, 0 = 80*i - 76*i + 8 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113085 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7300564 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 6*o + 4. Let z be c(6). Let i = 10 - z. Let h(d) = -d**3 - 7*d**2 + 10. What is the remainder when h(-7) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13)*a*a*a\/a**(-5\/9)*(a*a*a**(-22))**(-7))**8 assuming a is positive.\nAnswer: a**(134224\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (15 - (44 - 23)) - 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411259045.\nAnswer: 5, 211, 389819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 118 + 7*z - 2*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 342004?\nAnswer: 2052024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -136*w + 1399 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11156 and 5.\nAnswer: 55780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14936 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 times -5609.6\nAnswer: -185.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a + 2. Let g(m) = m**2 - 8*m + 5. Let t be g(8). Let x = -3 + 2.7. Sort a, x, t in descending order.\nAnswer: t, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 10) in base 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824*f**2 + 135134*f - 135134*f.\nAnswer: -824*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8717 - -8766. Solve -34*u + 135 = -y*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 + 5\/9*l**4 + 5\/6*l**3 + 12*l - 5\/3*l**2 - 1\/9*l**6 - 1\/2*l**5 + 5\/42*l**7. Let o(g) = 0. What is g?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 - -15?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Let c(g) = -g**2 + 4*g. Let m be c(5). Let d = -8 + 7.7. What is the second smallest value in m, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 45*s**2 + 146*s - 982. Determine c(-25).\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m - 3. What is the lowest common multiple of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 11:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 1. Let x(a) = 2*a + 3. Let d(r) = 5*i(r) - 2*x(r). Let u be d(1). Is -1*(u - 1) - -114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 602*k**2 - 13082*k + 636. What is p(-623)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43891722 is divided by 8431?\nAnswer: 8367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000472959 to seven decimal places.\nAnswer: -0.0000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from pppsppssssps?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1194 - -0.19632.\nAnswer: -1193.80368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 72*f**3 + 304*f**3 - 77*f**3 - 72*f**3 - 2*f**2 - 80*f**3 to the form l*f**3 + w*f + n*f**2 + t and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 13. Let o(s) = 3*s**2 - 5*s + 4. Let v be o(i). Suppose 2 = v*t, 5*t + 313 = 2*a - 6. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + (sqrt(448) - (-1 + sqrt(448))))*-3 + -5)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/256)\/((-15)\/(-12))*46?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378722?\nAnswer: 2, 3, 61, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from {y: 2, u: 3, d: 1, b: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138903 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-15))\/(1\/(-3)). Let o(q) = q**2 + 7*q + 9. Let y be o(-6). Solve y*k = -n*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let l(n) = -20*n**2 + 2*n. Calculate l(j(a)).\nAnswer: -80*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*7\/441*-4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t. Suppose x - 4*x - 12 = 0. Let o = 16 - 15. Which is the nearest to o? (a) t (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33120.61 centuries to decades.\nAnswer: 331206.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -72427\nAnswer: 362135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5966383, -11932747, -17899111, -23865475?\nAnswer: -29831839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717774 divided by -6.\nAnswer: 119629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0366? (a) -2\/5 (b) 5 (c) 0.7 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -0*t. Suppose -t*f + 42 = -f. What is the remainder when (-16562)\/(-169) - (15 - 0) is divided by f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-14 - (-8065)\/(-25)). What is the greatest common factor of 297 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1134, 2260, 3380, 4494, 5602?\n\"Answer: -3*x**2 + 1135*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4) + 3\/3)*-10. Suppose 3*h = 8*h + 5, -5*h - u = -2*w. Let n(q) = w*q + 3*q - 2 - q**2 - 2 + 4*q. What is n(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 divided by -8.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let k(d) = 3 + 2 - 4 + 0. Let m(n) = 2*n + 12. Let y be m(-5). What is y*v(r) + 2*k(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35473179 divided by -35473179\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -264.119 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 476550619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - y = 3*t - 11, -4*y = -t + 8. Solve 3*r - t*u = 3, -6*r + 2*r - 2*u = 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004969 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 13*z. Let a = z - 9. Which is greater: -8 or a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 16 = -4*j. Let s(b) = b**2 - 4*b + 3. Let q be s(4). Suppose 0 = q*o - 4*o. Solve j*r + r = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5390757983309 + -5?\nAnswer: 5390757983304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0037 + 661.9963. Let q = 213 - c. Let j = q + 449.0201. What is j rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 907034.7 months in decades?\nAnswer: 7558.6225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*4*1*10\/(-8). Solve -8*c + 3 = -x*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - w**2 - 4*w**2 - 18*w + 3*w**2.\nAnswer: -2*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.688, -2\/7, 0.4, 2, -0.98, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 9*w**2 + 20*w + 4. Calculate the remainder when 20 is divided by a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2400, -2399, -2398, -2397, -2396, -2395?\n\"Answer: s - 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -114, -605, -48 in decreasing order.\nAnswer: -0.8, -48, -114, -605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 1\/7 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205964 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in -85, 0.3, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*w + 1273 = 2597 + 11726 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2\/6 + 254467*d\/2 + 534366 = 0. What is d?\nAnswer: -152676, -21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/3 - 493*s**4\/3 - 11041*s**3 + 102337*s**2\/3 - 103328*s\/3 + 11536 = 0. What is s?\nAnswer: -412, -84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29a7 + 75?\nAnswer: 2a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4673, 9396, 14187, 19040, 23949, 28908, 33911, 38952?\nAnswer: 44025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 32. Let p be t(9). Suppose -4*o + 96 = -4*y, -p = -o + 3*y + 2. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1260*t + 465*t**2 - 234*t**2 - 1260*t - 233*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -49*l - 2. Let j(y) = 7*y. Calculate c(j(f)).\nAnswer: -343*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101, -126, -151?\n\"Answer: -25*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*n = -0*r + 9, 5*n - 15 = 0. Suppose r = 6*k - 98 - 10. Calculate the remainder when 35 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17620981537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.023 + 147.977. Let q = i - 147.9. Let w = -47 + 48. What is the nearest to q in -1\/7, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*c + 34, -2*o + 6*c - 12 = 2*c. Let u(m) = -m**3 - 11*m**2 - 10*m + 3. Give u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2595*l**3 - 79*l**2 - 119891?\nAnswer: 7785*l**2 - 158*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121297 or 1423?\nAnswer: -121297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**0\/p*p*p*p)))\/p**(-6\/5))**(-30\/7)*(p*p*p*p**(-1)*p)**6\/(p**8*p**(-2\/17)) assuming p is positive.\nAnswer: p**(-134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 820 + 274. Is w\/3 - 2\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/59441 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**3 + 3*o**2 - 89*o + 182. Calculate r(2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 - -175 - 92 - (1 + 24)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 + 7*m**3\/2 + 58*m. What is the second derivative of q(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = -51*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 0) + -3 - -33?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 - 337 = 4*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -301b - 5?\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2 + 20. Suppose -12 = -4*f - 4. Let d(p) = f*p + p**2 - 2*p. Calculate k(d(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*l**6 - 2*l**4 + 4*l**2 - 82*l?\nAnswer: 4080*l**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 5, 167, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 15 - 69 + 196*v - 204*v + 36.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112234789559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -74. Suppose -3*d - w = -5*q - 5, 9 = -d + 3*q. Let -1\/3*o**2 + 0*o + 0 + 1\/3*o**d = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (-32)\/(-6) - ((-7916)\/3 - 5)?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*n + 34, -h + 7*n + 7 = 3*n. Let m(i) = i**2 + 8*i + 18. Let k be m(-4). Solve -7*y = -k*y + h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/5)\/m)\/m)**(10\/19))**(1\/27)*(((m*m**(-2\/19))\/m)\/(m\/m**(1\/4)))**(-6\/19) assuming m is positive.\nAnswer: m**(1679\/6498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 256 (c) -3\/5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (7 - -6)) + 90 - (-14 + -12 + 18)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*l - 0*n - 2699, 3*n + 9 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 3\/5 (b) 2.1 (c) -4715.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 174516*n**2 - 872776*n - 4188864.\nAnswer: 4*(n - 8)*(n + 3)*(n + 43634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -4*i, -3*y = -3*i + 8 - 2. Suppose y = 29*m - 30*m + 303. What are the prime factors of m?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 - v**3\/3 + v**2\/2 + 14*v + 31. Let n(j) = -j**3 - 7*j**2 + 3*j + 21. Let f be n(-7). What is x(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*l + 4, -50 = l - 265*b + 270*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290573698 by 4.\nAnswer: 145286849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191*-3.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 8*f**3\/3 - 2*f**2\/3 + 8*f\/3.\nAnswer: 2*f*(f - 4)*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302a (base 16) in base 10?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150426.\nAnswer: 2, 3, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*w = 69*w + 15. Let u(y) be the second derivative of 2*y + 1\/10*y**5 - y**2 + 1\/6*y**4 + 0 - 1\/3*y**w. What is f in u(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 522034.3 micrograms?\nAnswer: 0.5220343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 186*m - 875. Let v be d(5). What is the greatest common factor of v and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -67*d**2\/2 + 211*d + 62. List the prime factors of o(-8).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2\/5 - 23382*x\/5 - 8281092\/5.\nAnswer: -6*(x + 394)*(x + 3503)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*a + 4*a - a - 4*a + 2 - 2*a - 2 + 3*a - a - a + (2*a + 2*a - 2*a)*(6 - 4 - 3) - 3*a + 0*a - a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c334 (base 14) to base 10.\nAnswer: -33562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 2*w. Suppose -4*t + 12 = w*h, -7 = -5*h + 3*t - 0. Let r(g) = g + 0*g - h*g - 3*g. Let x(l) = 3*l. Give r(x(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 0, 5, 1, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 7*d**2 - 3*d - 3. Let i(x) = x**3 + 5 - 2*x - 7*x - 962*x**2 + 952*x**2. What is the remainder when i(11) is divided by a(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2. Let g(d) be the first derivative of d**3\/6 + 3*d - 4. Let r(p) be the first derivative of g(p). Give r(w(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f + 2. Let r be ((-12)\/9)\/(1\/3). Let i(a) = 45 + 34*a + 89*a + 77*a - 45*a. Give r*i(g) + 90*j(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 + 239. Suppose q = w + 4. Solve 2*z - w*z = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*x = -223*x - 6800. Suppose -21*c + x = 83. What is the greatest common divisor of c and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68413278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, -1, 4\/5, 51, -0.1 in descending order.\nAnswer: 51, 4\/5, -0.1, -0.42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 595 - 576. Let g be (-26)\/(-65) + (-3)\/(-5). What is the highest common divisor of g and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -0.09, 511?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 4, r: 1, j: 9, k: 3}. Give prob of sequence vj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:46 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5022.7216 rounded to the nearest integer?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/11? (a) 5 (b) 3\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v**3 + 2*v**2 + 2*v + 1. Let g be q(-1). Let f = 35 + -25. Let y be (g\/f)\/((-4)\/50). What is the greatest common factor of 110 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j. Suppose -5*i - 6 + 81 = j. What is b in -5*b**4 + 3*b**4 - 3*b**4 + 21*b + i*b**3 + 8*b**4 + 6 + 27*b**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (4\/14 - 108970\/(-10115)))*-1.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246 divided by 2?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163414?\nAnswer: 2, 81707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2735663 is divided by 368.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 302560711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75936 by -8.\nAnswer: -9492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 less than -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -5, 1\/9, -0.1, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.974971 and 0.8185?\nAnswer: 1.793471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 8*j + 5. What is v(-5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*a - 11 = 0, -3*i + 3*a - 9 = -0*a. Let o be (1\/(-4) + -2)\/(i\/(-120)). Let c = 219 + o. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6420 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895893, 3583518, 8062929, 14334156, 22397229?\nAnswer: 32252178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3234*h**3 - 12*h**2 - 10*h - 3. Is x(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -2\/9 (b) 0.3 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.781828 rounded to 2 dps?\nAnswer: 11.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 4 - 459*i + 5 + 24874*i**3 - 24875*i**3 as f*i**2 + c*i**3 + a*i + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1291 + 3523. Suppose 25*s - 33*s + a = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1110\nAnswer: -1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 16. Let q(j) be the first derivative of -4*j**3\/3 - 3*j**2\/2 + 16*j + 12600. Let a(l) = 3*l**2 + 2*l - 11. Give x*a(i) - 5*q(i).\nAnswer: -i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.15. Let p = 125.49 + -125. Let j = k + p. What is j rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250994624 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 + m**5 + 4*m**5 + (4*m**4 - 3*m**4 + m**4)*(0*m + m - 2*m) + 15*m**4 - 12*m + 3*m**5 - m**5 + 14*m.\nAnswer: m**5 + 15*m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16695 and 55125?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -897?\nAnswer: 1\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64149675, -64149676, -64149677, -64149678, -64149679, -64149680?\n\"Answer: -z - 64149674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(2*q**2 + 81 - 81).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-11) - (-18)\/99. Let h = 0.1 + 0. Which is the nearest to h? (a) 5 (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 103, 101, 101, 103, 107, 113?\n\"Answer: j**2 - 5*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 10.7266?\nAnswer: 1.07266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8461036438*s**2 - 8461036423*s**2 + 16922072827*s**2.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 145. Let k = -1012\/7 + y. Which is the fourth biggest value? (a) k (b) 2\/11 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32038052 divided by -16019026\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68633235 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 430362653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immmimm. What is prob of sequence mii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 7*c)*(15*c + 10*c - 22*c + 4).\nAnswer: -9*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2174 - 171. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12400147 - 0.124. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:35 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -1020, 2?\nAnswer: -1020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1 + -6*(-4)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15104 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*b + 63*b + 36*b + (-2*b + b + 4*b)*(2 + 0 - 3) to a + p*b and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772709223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, c: 1, m: 4, y: 1, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13186115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -55*f + 53. Let j be v(-15). Let w = 1391 - j. What is the highest common factor of w and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -3\/2, -1\/2, -2, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 894239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1584 - (-4 + 0). Suppose 0 = -3*b + l + 125. Suppose 4*x - 2*t - b = x, -2*t + 193 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3865 smaller than -3865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 10*x = -8. Let b = -12 - -6. Let h = -3 - b. Put x, -4, h in ascending order.\nAnswer: -4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:58 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -7*p + 19 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111.034 + 111. Which is greater: l or -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 1425?\nAnswer: -34200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**2 - 51*m**2 + 26*m**2 - m**2 - 53*m**2.\nAnswer: -110*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/5580 and 82\/1395.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-21) + -1)\/((-23)\/(-28658)) - 5. What is the greatest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -125. Solve -4*p + w = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/11 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 5858578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(168\/6)*6\/12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25142263 is divided by 285705.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - o = 5*o. Let m be 1 - 1 - o\/6. Factor 2*z**4 - 2*z**2 + 1\/2*z**3 + m - 1\/2*z.\nAnswer: z*(z - 1)*(z + 1)*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11024, -11007, -10996, -11003, -11040, -11119, -11252?\nAnswer: -11451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let x be a(-4). Let m be (-1)\/((24\/18)\/(-4)). Put x, m, -2, -4 in decreasing order.\nAnswer: x, m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4063197.\nAnswer: -1625278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1. Let u(m) = 18*m**2 - 4. Let h(n) = 5*g(n) + u(n). Let r(x) = x**2. Determine r(h(w)).\nAnswer: 324*w**4 + 36*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68561526.6 milliseconds in weeks?\nAnswer: 0.1133623125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooopoooooosooso. What is prob of picking 2 o?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.01560822 - 0.9843917. Let b = 2 + p. Round b to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -4.6. Let d = -0.08 + 0.1. Let q be 4\/((-5)\/(75\/6) + 756\/(-35)). What is the second smallest value in q, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x + 3. Which is the closest to -2? (a) 3\/4 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 34718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948162 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 + (4 - 10) - (3 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*u**2 - 6 + 3 + 2.\nAnswer: 625*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11827, 51, -1\/9 in descending order.\nAnswer: 11827, 51, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154.9999631 + 155. What is k rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnbnbb. What is prob of sequence nnbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -438, 19, -4 in decreasing order.\nAnswer: 19, -4, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfaifsffifsffdsia. What is prob of picking 1 i and 1 d?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 45, 3, 781, -4 in decreasing order.\nAnswer: 781, 45, 27, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10106245?\nAnswer: 5, 17, 118897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(27)\/sqrt(9)*1*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Let j = -16 - -31\/2. Which is the biggest value? (a) v (b) j (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1065 and 17\/5751?\nAnswer: 28755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2690428 by 62.\nAnswer: 43394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 2, b: 2, h: 12, f: 2}. Give prob of picking 1 x and 1 f.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:38 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -2*p + 38. Let o be (-9)\/(-21) - 46\/(-7). Suppose o*g + 17 - p = 0. Are g and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 + 6*q + 10. What is u(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 6*t**3 + 38 + 58 + 0*t**3.\nAnswer: t**3 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a70d95 (base 14) to base 8.\nAnswer: 62214747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 37 = 2*j, -3*j = 3*i - 5*i - 71. Let a = i - -67. Calculate the highest common divisor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**5\/17 - 16652*s**4\/17 - 46170374*s**3\/17 - 42506916948*s**2\/17 + 342693713304*s\/17 - 300140609328\/17 = 0.\nAnswer: -2778, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 481427 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v**3 + 6*v**2 - 15*v + 2. Determine m(2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - -581. Suppose 2*v + 2556 - 9420 = 0. Suppose f - 4*k = -0*k - s, 4*k + v = -5*f. Round f to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11911167660 + -11911165303.9999039. Let j = b - 2356. Round j to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10*f**3 + 2*f**2 - f. What is r(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193412 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/60 - i**4\/24 + i**3\/6 - 2*i**2. Let z(l) = l**2 - 3*l + 3. Let d be z(2). What is the units digit of n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/44 + (-9)\/(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21353050600 + 0?\nAnswer: -21353050600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 4. Suppose -14 = -4*b - 122. Let r(x) = -21*x + 27. Let w(f) = b*h(f) - 4*r(f). Let a(t) = -2*t**2. Give w(a(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 equal to 2867\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 75*x + 157 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 756495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -74. Suppose 0 = -f*m + 4*p - 18, 17 = -2*m - 2*p + 7*p. Let a(l) = 2*l + 24. Let g be a(m). Solve 6*y = 2*y + v - 11, -3*y - 12 = -g*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.253 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0995 - -0.0005. Let y = -1\/48 + -89\/336. Which is the second biggest value? (a) -5 (b) z (c) y (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 30211?\nAnswer: -30323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 233, 768, 1805, 3512, 6057, 9608?\n\"Answer: 28*v**3 - v**2 + 8*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 287?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -11*t + 5*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 4)*(5 - 4 + 0) - 7 + 3 + 1)*(15*g + 7*g - 7*g)*(0*g**3 + g**3 - 2*g**3 + (0*g + 0*g + 2*g**2)*(g + 0*g + 0*g) - 1 + 2*g**3 + 1).\nAnswer: -180*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -23 - (-3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.81 - 3.4. Let a = 0.09 + m. Let g = 2.4 - a. What is the closest to g in 4, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 22*b + 153. Let a be q(-7). Suppose 3*i + 3 = -t - 2, -4*i - 6 = t. Sort a, 4, -13, t in increasing order.\nAnswer: -13, t, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-4))\/((-10)\/(-200)). What is the units digit of 7865\/n + (-10)\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 317, 498, 679, 854?\n\"Answer: -m**3 + 9*m**2 + 155*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {w: 3, n: 1, m: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-2353184)\/6) + (-35)\/105 + 8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*z**2 + 123*z**2 + 18*z**3.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {i: 6, b: 13}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 21*r**2 + 7. Let h be b(21). Solve -3*c + h + 8 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 1. Let w(g) = 29*g**3 + g**2 - 1. Suppose 4*y = 2*y - 4. Let i(f) = y*b(f) - w(f). Is i(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f - 13. Let w = -58 - -60. Suppose 0 = 7*c - w*c - 10, 0 = a - 3*c. What are the prime factors of g(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {q: 1, x: 1, n: 2, d: 1, w: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39183 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170) + sqrt(170))*3)\/(sqrt(10) - (sqrt(1000) + sqrt(1000) + sqrt(1000)*1))*5.\nAnswer: 15*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 17*z + 16. Suppose -z*v + 6 - 14 = 0. Which is smaller: v or -5\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26520 (base 7) to base 14\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5317, 5321, 5325, 5329, 5333, 5337?\nAnswer: 5341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 37*k + 344. Calculate the lowest common multiple of 2*(-21)\/12*-12 and v(23).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445 (base 6) to base 3\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12393.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fit when three letters picked without replacement from tnijflnjnlj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7758 and 3.\nAnswer: 7758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r + 6. Let b(g) = -4*g - 2. Let y(f) = 17*b(f) + 6*o(f). Let l be y(6). Suppose 0 = -4*k - l + 182. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 155*c - 441. What is z(6)?\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b + b + b**2 - 2*b + 3. Let k be i(-6). Let y be (-3)\/((k\/(-18000))\/1). Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166306 + -166306.399965. Let n = l + 0.4. Round n to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 206, 30, -3, 18 in increasing order.\nAnswer: -3, 18, 30, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -21, -5, 3\/5, -4 in decreasing order.\nAnswer: 3\/5, -4, -5, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 249\/2. Do j and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1) + (-136)\/(-8). Let b(h) = 15*h - 15 + m. Let u(r) = -2*r**2. Give b(u(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5984*i + 5682*i + 3269 = -10321 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9*(-2)\/(-15))\/(3\/(-10)). Find the second derivative of -12*v - 8*v**4 + 8*v**y + 8*v**5 + 21*v**5 wrt v.\nAnswer: 580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -60*z + 58*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 69 = 2. Let l = 97 + j. Suppose 4*z + 3*y = 216, -l = z - 5*y - 107. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*k + 4, 16 = 4*z + 3*k - 4*k. Suppose -12*t + z = -11*t + 4*d, 4*t - 20 = 5*d. Solve 3*c + 2*m - 2 = -0*c, 26 = -t*c + 4*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1840\/(-32)*106*6\/(-10). What is the highest common factor of k and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.198851+-0.28285005\nAnswer: 1.91600095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1170)\/2925)\/(12\/145)\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -4, -2.\nAnswer: -4, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1903705206.037 - -0.011.\nAnswer: -1903705206.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5 + 81*s**4 - 72*s**3 - 156*s**2 = 0.\nAnswer: -1, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 548, 821?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36881\/90 - -3668\/9. What is the common denominator of g and (-1)\/30*(-168)\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409.\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 112433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 180 = -12*z. Let s be (0 + 15)*(0 + 6). Calculate the highest common divisor of s and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - -39 - (-37 - (-16 - 2) - (-1 - 4))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/6, -1\/3, 18800, 23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80420, -160831, -241222, -321587, -401920, -482215, -562466?\n\"Answer: a**3 + 4*a**2 - 80430*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579068 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*i + 701 = 744, 4*i = -o + 28 - 82 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17609 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: Let v(o) be the first derivative of -2*o**3\/3 + o**2\/2 + 2*o + 34. Let z(f) = 4*f**2 - f**3 - 3*f**2 - 1 + 0*f**2. What is -v(x) - 2*z(x)?\nAnswer: 2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-36) - (-14)\/(-84). Let p = -0.15 + -17.85. Let f = 7 - p. Do j and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 587 - 107. Suppose 2*c - j = -3*i, 0 = 6*c - 3*c + 5*i - 721. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 p when three letters picked without replacement from {v: 1, s: 1, k: 3, p: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5) + sqrt(245)*-2 - (sqrt(25)\/sqrt(5) + 5 + sqrt(5)))**2.\nAnswer: 750*sqrt(5) + 5750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-8))\/(((-1)\/3)\/(596\/(-447))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(13\/5)*l\/l**(-20))\/(l**(3\/8))**(-6\/25))**(-4\/3) assuming l is positive.\nAnswer: l**(-2369\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00185282 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1684 and 3789.\nAnswer: 15156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 51*g - 5. Let n(k) = 152*k - 14. Let m(b) = -8*d(b) + 3*n(b). List the prime factors of m(1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79867.7 rounded to the nearest 100?\nAnswer: -79900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*a**3 - 72*a**3 + 11*a**5)*(1 - 1 - 1) + (-2*a - a + 0*a)*(-6*a**4 + 4*a**4 + 0*a**4).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/13 - 42*q**2\/13 - 148*q\/13 + 480\/13 = 0. What is q?\nAnswer: -15, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -71565 (base 8) in base 12?\nAnswer: -15131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*25*(-9)\/(-135). Let w(r) = -4*r**3 - 7*r**2 - 9*r - 5. Let n(m) = -8 - 11*m**2 - 8*m**3 - m**3 - 3*m**3 + 6*m**3 - 14*m. Calculate j*n(b) - 8*w(b).\nAnswer: 2*b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 111 = -20*k + 79. Put -4, 7, k, 3, -2 in decreasing order.\nAnswer: 7, k, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4))\/3*6\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, p: 1, x: 3, s: 1}. Give prob of picking 1 x and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.9391 to 1 dp.\nAnswer: 99.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = -2*p + 12, 4*v - 5*p = 40. Suppose -x = y - 4, -v*x + x - 5 = y. Let o = y - 6. What is the least common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/257, -35, 3, -1 in descending order.\nAnswer: 3, -2\/257, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - (-23 - -8))*24\/10. Solve z*f - 36 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8 + m + 11 + 2*m - 10. Let l = 13 + -18. Let v(t) = 3*t - 8. What is l*v(c) + 6*n(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k, -4*c = c - 2*k - 150. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 5. Let l = 0.05 - 2.05. Which is the smallest value? (a) l (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 2*x - 3*x, 3*x + 40 = 5*h. Suppose -3*d + 5 = 2*d + h*m, 3*d + 4*m = 4. Solve d = 2*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 3*q - 3*q + (q - 6*q + 2*q)*(4 - 3 + 1) + 6*q - q - 3*q - 5*q - 3*q + 2*q + (2*q + 1 - 1)*(1 + 1 - 4) + 1 - 1 - q in the form w + x*q and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*l + 53*l + 24*l - 33*l.\nAnswer: 103*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -36. Let g = i - -12. What is the remainder when 88 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49490 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494 + 2014 - 499 - 522 + 13*t**2 - 499.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let t = z + 0. Which is smaller: t or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrgrgxx. Give prob of picking 1 x and 1 r.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2232 and 96.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - -4 - (1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2 - 439116*d + 16068571788 = 0. Calculate d.\nAnswer: 73186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.223 times 5\nAnswer: 1.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 82279 divided by -6\nAnswer: -82279\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*r**4 - 65562*r**3 - 10752827*r wrt r?\nAnswer: -1104*r**2 - 393372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 = o, 4*o = 6*o. What is the tens digit of 75\/(-2)*((-462)\/5)\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:40 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-33) + 7245\/99)*-9*(-40)\/(-360).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 35. Suppose 4*h = -5*a + 13, 2*a = -5*h + f*a + 5. Let s be 0\/((1 + h)\/(-3)). Is s <= 3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12*4*1\/(-8) and 19\/172.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21151620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -357.71090392988 - 22\nAnswer: -379.71090392988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1700\/3 or 568?\nAnswer: 1700\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152983 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/12 + d**3\/3 - 3*d**2\/2 + 27*d - 77. Let c(a) be the first derivative of j(a). What is c(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 231?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:56 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 divided by 276?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7)*a**(-9\/4)*a*a**1\/a*a**(-1\/4))**(4\/23) assuming a is positive.\nAnswer: a**(-58\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21566179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34066, -34599, -35140, -35689, -36246?\nAnswer: -36811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/3 + 284*t**2\/3 + 81256*t\/3 - 81536\/3 = 0. What is t?\nAnswer: -112, 1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/5*6045\/(-4836)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**4 + 38*s**4 + 24*s**4 + (-2*s + 5*s - s)*(2*s**3 - 2*s**3 + 2*s**3) to i*s**3 + q + a*s**2 + c*s + u*s**4 and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3 (c) -0.744 (d) 4 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 3. Let q(h) = h**2 + 7*h + 4. Let u be q(-6). Let p(l) = 12*l - 12. Let g(c) = u*p(c) + 9*a(c). Find the first derivative of g(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.26 + -0.96. Which is the nearest to 2\/7? (a) o (b) 2\/17 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 - 70*r**4 - 4294*r**3 + 82358*r**2 + 365300*r - 7976800 = 0. What is r?\nAnswer: -40, -10, 13, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*k = 210*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11513200 to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -82. Suppose -3594 = k*q - 14974. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(4\/3))\/f*f*f\/f**(-14)*f*f)**(14\/3)*(f\/f**(3\/2))\/f**(-8)*f**6*f**(1\/7) assuming f is positive.\nAnswer: f**(12107\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6*w - 3 = 0. Calculate the lowest common multiple of (1\/2)\/(1\/8) and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 83*g - 136. What is i(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8*r - 4*r - 8, 0 = 4*y - 2*r. Let l be -8*((-7)\/y + 3). Which is the second smallest value? (a) l (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -885, -2178, -4035, -6480?\nAnswer: -9537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 19214*o + 384291. Determine w(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -46. Let s be -3*1*f\/(-12). Suppose s*d = 9 + 16. Solve h = d*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 51. Let a(j) = -j + 26. Give 5*a(r) + 2*x(r).\nAnswer: -r + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + sqrt(190)\/sqrt(10))) + 0 - (sqrt(19) + sqrt(76) + 5))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9302, 9293, 9284, 9275, 9266, 9257?\nAnswer: 9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 13923.\nAnswer: 13925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:27 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 366*u**4 + 2*u**2*y + 26*u**2 + 15833*y - 9 wrt u?\nAnswer: 1464*u**3 + 4*u*y + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -62*a - 259. What is h(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12753758 and 48850.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75)\/11 - 2\/11. Let w(z) = -3*z**3 + 5*z - 3. Let n(u) = -7*u**3 + 3*u**2 + 10*u - 5. Let g(k) = -2*n(k) + 5*w(k). What is g(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 2. Let m be a(1). Suppose m = -4*x + 2*u + 4, 5*u = -0*u - 10. Solve x = 6*k - 5*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 + 0)*(2*m - 2*m - 2*m)*(3*m - 2*m - 3*m) to the form l*m + p + t*m**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/15*(-2)\/(-3). What is the tens digit of (3 + 40)\/(y\/4*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*h - 39 + 35 + 4.\nAnswer: -359*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1 + (-54)\/33. Which is the second biggest value? (a) m (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 340, 382, 448, 538?\n\"Answer: 12*o**2 + 6*o + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2. Let j(g) = -2411837*g. Give j(p(b)).\nAnswer: -24118370*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/3, -2, 0.2, 0.4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 331767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 9*t**2 + 11*t - 295. Is 11 a factor of o(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 6) in base 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2190*c**3*f - 2503100*c**3 + 62*c**2*f - 2*c*f wrt f.\nAnswer: 2190*c**3 + 62*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t**3 + 3*t**2 + 4*t + 4. What is the tens digit of g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 680*h**3 + 119*h**2 + 119*h + 119. Let v = -254 + 135. Let u(g) = -17*g**3 - 3*g**2 - 3*g - 3. Calculate v*u(i) - 3*l(i).\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 904780 from -1.\nAnswer: -904781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -150, 1 in descending order.\nAnswer: 3, 1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462702698 to the power of 1\/3, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22117\/115 - -964\/5. Let s = 53\/207 - n. Let c = 4.9 + 0.1. What is the closest to -1\/2 in s, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.057 - 45.943. Let a = o - -17. Let z = 29.0019 + a. Round z to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/(-82)*1\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206981 - 206981 + 10*s + s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 7, k: 3}. What is prob of picking 1 k and 1 g?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153) + -4)**2*-6 - (4*(3 + sqrt(153)) + -5)**2.\nAnswer: -3565 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 15995.\nAnswer: 15995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45808*g*l**2 - 1581*g*l + 2*g wrt l.\nAnswer: 91616*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -150*o**2 - 21*o - 86. Let u = 236 + -242. Let k be i(u). Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 - 21*d + 20. Let c(v) = 3*v**2 - 10*v + 10. Let m(i) = -5*c(i) + 2*q(i). Suppose -n - 74 = 5*p - 135, 3*p = 30. Determine m(n).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -3.73757.\nAnswer: 5.232598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 7*t + 4. Let g(d) = 4*d**2 + 7*d - 4. Let l(p) = 6*g(p) + 5*h(p). Let f be l(6). Factor 19*u**2 - 179*u + 8 - 61*u**f + 195*u.\nAnswer: -2*(3*u - 2)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*o - 11 + 111 - 15. Which is greater: o or 1\/1477?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.24632 (b) 0.03 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -358939.\nAnswer: 1\/358939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 220*w + 4. Let d(m) = -213*m - 5. What is -5*d(p) - 6*q(p)?\nAnswer: -255*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. Let r(f) = f + 3. Let v be 15\/6 + 1\/2. Let l be r(v). Solve 3*d - 1 = -2*k, -5*d - t = k - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41\/8926966 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4278 and 7130.\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 133.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195039 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.301 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) + sqrt(8) + 1).\nAnswer: -3*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3630, 7263, 10898, 14535, 18174, 21815?\nAnswer: 25458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 33. Suppose 2*x - 11241 - 25039 = -q*c, -2*x - c + 36280 = 0. Round x to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -107, 698, 4\/25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 665 + -656. Let d(l) = -l**3 + 10*l**2 - 9*l - 7. Calculate d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365808.\nAnswer: 2, 3, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 55.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5\/6)*x*x)\/(x*x\/((x\/x**18*x)\/x)*x)*(x\/x**(-6\/13))\/x*x*(x*x\/(x**(-18)*x*x))\/x assuming x is positive.\nAnswer: x**(49\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/2, -0.086, 3.6, -1.\nAnswer: -23\/2, -1, -0.086, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251039469?\nAnswer: 3, 83679823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -555, -792, -1111, -1500, -1947?\nAnswer: -2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -28. Suppose -3*m + 75 = -r*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - 0\/(-6 + 2). Solve 5*l = 2*q - n, -4*l + 1 - 9 = -4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-20) + (-4)\/(-16). Let d = -263 + 498. Let v = 236 - d. Which is the closest to v? (a) n (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:54 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x - x)*(5 - 4 + 1) + x - 2*x + 4*x - 5*x + 2*x - 4*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b9ab (base 15) to base 7\nAnswer: 222416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(252)*-2*-3)**2 + (sqrt(252) + (2 + sqrt(252) - sqrt(252) - sqrt(252) - sqrt(252))**2 + sqrt(252))*1*6.\nAnswer: -216*sqrt(7) + 151225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13617 + 13626. Solve -2 = -3*m + i, 5*m - 6*i + q*i = 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 94, 158, 248?\n\"Answer: 13*a**2 - a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1983606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let n be ((-30)\/(-18))\/((-32)\/6)*18. Let s = -41\/8 - n. What is the smallest value in -4, s, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-11 - -4)) + (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + c)*(0 - 3 + 2) + 0*c - 2*c + 4*c - 19*c + 3*c + 2*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8685459841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 20. Suppose c*d = -0*d + 22. Let b = 14 - d. What is the third biggest value in b, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*m = 2*m - 24, k - 5*m = -46612 + 46607 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:03 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2 + 8. Let o(l) = 2 + h*l**2 - 9*l + 4*l - 4. What is the units digit of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 11. Let p be -3 + (1\/5 - (-174)\/30). Let t be (-7)\/((-6)\/(-9)*p\/(-2)). Let q be w(t). Which is bigger: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 27 - 70 + 317*d in the form u + f*d and give f.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqaagaagk. Give prob of sequence kiq.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21119.88 millennia in decades?\nAnswer: 2111988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 + 371*b - 371*b - 122*b**3 - 254.\nAnswer: -122*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16)*(-16)\/(-100).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 = -7. Let t = a + 6. Suppose -t*w = -19 - 1. Solve 4*z = 4*c + 16, -3*c + w*c + 9 = 3*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695*z + 134*z**3 + 23*z**3 + 689*z - 1384*z.\nAnswer: 157*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)*s)\/s*s**(2\/11)*s*(s*s**(-1\/29))\/(s**6*s*s))**5 assuming s is positive.\nAnswer: s**(-9973\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/31079 in 3, 2\/23, 0.2, 1\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*k**2 + 270*k**2 + 98*k**3 - 133*k**2 + 97*k**3 - 4*k.\nAnswer: 195*k**3 - 5*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2045210439 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccnn when four letters picked without replacement from {c: 2, n: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 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: Is 5920597 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-14)\/((-504)\/18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n**3 - 46*n**3 - 59*n**3 + 186*n**3 - 50*n**3.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 312 - 572 = 0. Solve -w = -5*y - 5*j, -y + 3*j = 3*y + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -13 (c) 3\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 3, -5, 0.5, -18, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + (-1005)\/(-9). Let z be (-2)\/5 + x\/80. What is the highest common factor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.6 = -40\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 12?\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2466 and -61\/4.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35413, 141736, 318965, 567100?\n\"Answer: 35453*v**2 - 36*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 203, 298, 431, 614, 859, 1178?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171942 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - ((13 - 1) + -16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.052 and 1\/30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1788*h - 1487. What is k(-1)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4*o - 3. Let k = -23 - -25. Let i be f(k). Let x be i + 1238 + -2 + 3. What is x rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 19058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2534 + 2914. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 108, 6, -27, -323 in descending order.\nAnswer: 108, 6, -5, -27, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/70 and -113\/10626.\nAnswer: 53130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3466 = 2*n - 3502 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 1129*m**2 + 1129*m**2 - 2)*(3 + 0 - 1).\nAnswer: -8*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9878, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 - 10470*k**3 - 195905*k**2 + 2530380*k - 2324000 = 0. Calculate k.\nAnswer: -2075, -28, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 590991953*z**2 + 59609359?\nAnswer: 1181983906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 22014307?\nAnswer: 22014303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 281.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide (9387 - (6 + -6)) + 11\/(66\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3168 (b) 984 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 - -58. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3 - 1896*w**2 - 20253*w + 149040 = 0. Calculate w.\nAnswer: -621, -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1161, 1151, 1113, 1029, 881, 651, 321?\n\"Answer: -3*d**3 + 4*d**2 - d + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/2*b**2 - 1\/2 - 2*b = 0 for b.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3036 is divided by 117.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1929*i**3 - i**2 - 833*i**3 + i**2 - 1094*i**3 - 42*i - 22*i.\nAnswer: 2*i**3 - 64*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-87)\/(-2)*6\/9. Let v = 113\/4 - o. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033100936 to 5 decimal places.\nAnswer: 0.00331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-32)\/(-1584)*(-303)\/4 and -19\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 - 182. Let l be u\/8*(-4 + (-2 - -10)). Which is the fourth biggest value? (a) 0.1 (b) l (c) 5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1912 = 5*i, -3*i + 5*j = j + 1124. Let l = i - -637. Let x = l + -159. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 56 + 123 = 3*k, 5*k - 313 = 3*t. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13891 to the nearest 100.\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 35*y - 2. Let j be l(17). Solve 2*i = j*i - 52 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179130 rounded to the nearest 1000?\nAnswer: -179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1b1a35 (base 12) to base 8\nAnswer: -1651611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - k**2 + 2 - 2*k**3 + 22*k - 19*k to the form u*k**3 + d*k + s + z*k**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113508286?\nAnswer: 2, 17, 89, 37511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*k + 20, 11*d - 6*d + 3*k = 30. Suppose -3*s - 68 = -4*p - d, -2*s = -p + 16. What is the remainder when 49 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -642.34 * -18\nAnswer: 11562.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013137519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214964189?\nAnswer: 11, 41, 476639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**3 - h**2 - 2*h. Let a be y(-1). Suppose 0*k - 2*k - i = a, 0 = 5*k + i + 18. Sort k, 2, -1.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-2\/23))\/d*(d**(1\/2)\/d)\/d)\/(d*d\/(d**11*d))**40 assuming d is positive.\nAnswer: d**(18381\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 55 - 27. Which is the nearest to -49\/5? (a) 3\/11 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1 + 15\/(-6)). Suppose 2 = -l + 4. Solve s*w = l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60707987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -49.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -10 - (-55 + 71).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1249011\/92 - -13576. What is the common denominator of -73\/28 and t?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let y(r) = 38*r**2 + 3*r + 3. Let j(g) = -39*g**2 - 2*g - 2. Let s(k) = -3*j(k) - 2*y(k). Give n(s(o)).\nAnswer: -82*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9670?\nAnswer: 2, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.46\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 155937666388.\nAnswer: 155937666398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -705558*z. Let d(c) = 31*c**2. Calculate d(a(l)).\nAnswer: 15432174832284*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*i + 8*a - 176, -4*i - 416*a + 420*a = 224 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 16, -u + 19 = 7*x - 2*x. Let i be (u + (-1)\/(-2))\/(21\/126). Let r = 0.3 - 0.2. What is the closest to r in -2, 3\/5, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2 - 2 + 98*j**3 - j - 99*j**3 + 2*j**2. Let r = 4 - 3. Determine n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 538729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1436.9 (b) 0.03 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3985*u + 12526*u - 1231*u + 11393*u - 3018*u in the form b*u + r and give b.\nAnswer: 23655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -5*k - 2*z, z = 3*k + 478811 - 478774 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 1 k when three letters picked without replacement from {d: 1, p: 3, n: 3, v: 7, k: 5}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6297*h - 1272038. Calculate y(-202).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 3*s + 2*s**2 - 11*s**2 + 2*s - 7 + s**3. Let q be p(10). Suppose -4*b + 177 = q. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28445757899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from zzbabzbzzbaaz.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -285, -268, -251?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 2*z + 39 - 15, -d = 2*z + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -397*r + 2747. List the prime factors of v(-6).\nAnswer: 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 332 + -1?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.6053 years in decades?\nAnswer: 12.26053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**2 + 4936*k + 6806240 = 0.\nAnswer: -826, 2060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/1690)\/(17\/(680\/24) - 1)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87945 = 1056*f - 1043*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from {z: 1, g: 7, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 4, h: 4, q: 2}. What is prob of sequence hwh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.38, 0.6, 3\/13, -5, 0.2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1421 (base 7) to base 4.\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1336 + -1613626?\nAnswer: -1613625.8664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1043 - -1033.14. Let j = a - -1.56. What is j rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4386 divided by -6.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001065922287 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t = -19*t - 4*y + 24, -3*t + 3*y = 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(85)*4)\/sqrt(5).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-910)\/325)\/((-98)\/280).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77855 is divided by 472.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from tyzoq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1002021?\nAnswer: -1002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q - 15 = 0, -4*h + 430 = -2*q. Calculate the smallest common multiple of h and 530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.112 and -126005674.9.\nAnswer: -126005675.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28113, 28117, 28123, 28131?\n\"Answer: d**2 + d + 28111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 2*p**2 - 7 + 3 + 3. Let m(t) = 313*t + 1570. Let b be m(-5). Determine y(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 14. Let c be 1\/m + (-3 - -6). Find the third derivative of -13*b**6 - c*b**2 + b**2 + 6*b**6 + 9*b**2 wrt b.\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*q + 4 - 23, -q = -3*f + 85. Calculate the smallest common multiple of f and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r - 55*r + r**2 + 23*r + 5 + 18*r + 20*r. Give k(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/360 + m**4\/24 + 2*m**2. Let q(h) be the second derivative of x(h). Let b(g) = -1 + 1 - 2*g. Determine b(q(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*s - 14, 0*s - 28 = 4*u + 4*s. Let y = -0.04 - 8.96. Let r = -6 - y. Sort 0.05, r, u in descending order.\nAnswer: r, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -115*r**8\/336 - r**7\/210 + 187*r**5\/20 + 3*r**2 - 13. What is the third derivative of u(n) wrt n?\nAnswer: -6900*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19 and -419364887.7.\nAnswer: -419364906.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -780915 plus -0.05049?\nAnswer: -780915.05049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -880.463?\nAnswer: 264.1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let p(k) = -2*k**2 - 4*k - 72353501. Calculate p(q(r)).\nAnswer: -8*r**4 + 8*r**2 - 72353501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -68712117\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = -2*x - 46, -2*c + 34774*x - 34775*x - 5 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50375 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 4. Let t be w(-2). Does 18 divide t\/(-32) + (-1370)\/(-16)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:34 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {r: 1, m: 2, a: 8, d: 4, w: 2, y: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 75 + (-101 + 27 - -40)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - b + (0 + b + 0)*(1 + 1 + 0) - 29 + 21 + 12 - 3*b.\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**6 + 186*j**5 + 56*j**3 + 4*j**2 - 4282?\nAnswer: -1200*j**3 + 11160*j**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-1 + 39\/(-12)). Suppose h - 4*h + 3 = 0. Let t = h + q. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 23331*p\/2 - 25623405\/4.\nAnswer: 3*(p - 531)*(p + 16085)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 63 = 19*h. Let q = h - 15. Suppose 2*j - 5*n - 69 = 0, -n - q = -1. Solve 2*b = -i + 11, 4*i = 5*b - j + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.5. Put d, 4, 3 in increasing order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.05585 to two dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 131*p**2 + 997*p + 154. Determine b(-123).\nAnswer: -1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 24\/23, 0.1, 4 in descending order.\nAnswer: 4, 24\/23, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) 0.2 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - sqrt(5) - sqrt(5)) + 3)**2 - (sqrt(315)\/sqrt(9))\/sqrt(7)) + 5*((1*sqrt(180))**2 - (-2 + sqrt(125))).\nAnswer: -14*sqrt(5) + 939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -115. Is ((27088\/(-6))\/j)\/((-64)\/(-96)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 163*v**5\/2 + v**4\/12 - 141*v**3 + 2042*v**2 - v + 2. What is the second derivative of q(s) wrt s?\nAnswer: 9780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - p - 4*p. Let f(k) = -10*k + 10*k - 4*k - 33*k + 19*k + 12*k. What is j(f(i))?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 16952565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 7 + 5 = 3*c + i + 13, 0 = -205*i - 410 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w. Let l be z(1). Let m = 125 + -121. Let q be (-3)\/6 + (-1)\/(-2). Put q, l, m in descending order.\nAnswer: l, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-1262*y**2 - 4 + 4 + 12751*y**2 - 2187*y**2) to q*y**2 + w*y + k and give q.\nAnswer: -9302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 7, w: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 + 344 - 7*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let a be o(-2). Suppose 4*y = -y + 3*p + 53, -a*p - 54 = -5*y. Calculate the smallest common multiple of y and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) - (-95)\/225. What is the closest to 0 in a, -1, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/34*99\/6. Let p = i - 4\/17. Which is the biggest value? (a) p (b) -5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193914 and 1944?\nAnswer: 775656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140763 and 12.\nAnswer: 563052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -111, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -26.6. Let j = -0.7 - p. What is the third smallest value in j, 2\/13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -497955\/3122 + -2\/1561. Is 1\/2 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*w**(2\/3)*w*w*(w**0)**(4\/7)*((w**5*w)\/(w\/((w\/w**(-6\/7))\/w)*w))**(1\/21) assuming w is positive.\nAnswer: w**(-152\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(65)\/sqrt(45)*2.\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from jzzmzjddpjzppmpzmmp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490682 (base 11) to base 3.\nAnswer: 1110110112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 108, 0.0165, -4\/3, 3\/2, 0.4 in ascending order.\nAnswer: -4\/3, 0.0165, 0.4, 1, 3\/2, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08128 to 3 decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7.6 times -15.03\nAnswer: 114.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -28*x + 11. Let g(v) = -54*v + 26. Calculate -2*g(m) + 5*j(m).\nAnswer: -32*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6323)\/(-486871))\/(14\/66).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 7*o**2 - 6*o - 11. Let n be d(8). Suppose n*z = -z + 18. Differentiate -m**4 - z*m**4 + 19 + m**4 - 26*m**4 with respect to m.\nAnswer: -116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:32 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2729 is divided by 568?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 892592 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4 + t**2\/2 - 4*t + 241. Let i(d) = -5*d**3 - 2*d + 5. Calculate -2*i(m) - 3*s(m).\nAnswer: -2*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -36873 in ascending order.\nAnswer: -36873, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75799078 to the power of 1\/2, to the nearest integer?\nAnswer: 8706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -19. Let r be -3*(x\/9)\/4. Is -0.1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -29. Let f(a) = 79. Let p(g) = 4*f(g) + 11*u(g). Let r(q) = q**2 + 1. Calculate 5*p(c) + 15*r(c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.506 and 368.\nAnswer: 1290.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o - 1\/5*o**4 + 1\/15*o**6 + 11 + 0*o**2 + 0*o**3 - 2\/25*o**5. Let x(v) = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -3*v**4\/2 - v**3\/3 + 3. Let o be z(-1). Suppose 10 = -3*k + o*k. Solve 5*l = 5*s - k, l = -5 + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6087.\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 47.064. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/800*5\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85765, 171526, 257299, 343090, 428905, 514750?\n\"Answer: q**3 + 85754*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 - 5868530*o + 1721982218045 = 0.\nAnswer: 586853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/14 or 7\/22921?\nAnswer: 7\/22921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 31587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.284 - 82. Let x = 1.284 - w. Let j = -0.45 - -0.05. Which is the fourth smallest value? (a) x (b) j (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6615027 is divided by 3307507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*l - 4, -l - 11 = -t + 1. Solve 4*j = -4*i - t, j - 4 = i - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 38*t + 84 = 0. Let i = 0.15 + -0.55. Let g = 0.6 - i. Is t at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 53?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -132, 3 in increasing order.\nAnswer: -132, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -29 - (-1)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + 37*t + 345. Calculate b(-9).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8318120117 to the nearest integer?\nAnswer: 91204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhhhllbyyhh. What is prob of picking 2 l and 2 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m**6 - 144*m**4 - 2*m**3 - 43*m**2 - 128*m + 2 wrt m.\nAnswer: -1080*m**3 - 3456*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-280)\/49 - 5. Solve 130 = -r*j + 165 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*t - 40, -3*t + 4*x - 2*x - 30 = 0. Let g = t + 10. What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*m, 6 = 3*s - m - 4. Let d(b) = b**3 - 2*b**2 - 7*b + 3. Let z be d(s). Let o = z - 31. What is the remainder when 35 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/13 in -0.1, 4, -57, 5, -32\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12991, 51938, 116839, 207694, 324503, 467266?\nAnswer: 635983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239341\/3077 + -2647\/34. Calculate the common denominator of 167\/6 - (-4)\/(-12) and w.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72299833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1388229*j**2*x**2 + 40746*x**2 + 24*x + 5 wrt j.\nAnswer: 2776458*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 72. Let s = -114 - -150. What is the lowest common multiple of s and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15455 = f - 3*n, -5*f + n - 3362 + 80665 = 0. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4\/31, 5 in descending order.\nAnswer: 5, -4\/31, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 47*q + 31. Let v be o(24). Let u = 17 - -18. What is the greatest common divisor of u and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2370.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c)*(0 + 2 - 3 + (-2 + 4 - 1)*(2 - 3 - 1) - 2 + 0 + 4 + 2 - 3 - 1)*(-110*c**2 - 5731*c + 5731*c).\nAnswer: -330*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2918000, -5836002, -8754004, -11672006, -14590008?\n\"Answer: -2918002*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1285125 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11301, 11484, 11667, 11850, 12033?\n\"Answer: 183*i + 11118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13 - x + 0 + x**2 + 2*x. Suppose 8*b + 13*b = 18*b. Let f be d(b). Is 13 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1557885.26 to the nearest ten thousand.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 5, n: 1, w: 2}. Give prob of sequence wwq.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 32*c**2 - 2*c - 3. Let h(p) = p**2 + 4*p + 1. Let u be h(-3). Does 27 divide k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -662*y**2 + 435*y**2 - 898*y**2 - 449*y**2 to the form x + d*y**2 + h*y and give d.\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 234*h*k**2 - 31*h*k - 4*h + 2*k**2 - 710 wrt k?\nAnswer: 468*h*k - 31*h + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 67968651540 to the nearest one million.\nAnswer: 67969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 = -2*m, 0 = -3*m + 5*j - 0*j - 9. Put m, -2\/7, -4, 3\/2 in decreasing order.\nAnswer: m, 3\/2, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(1\/(-5)*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/5)*h))\/h**(3\/5))**(-12\/13) assuming h is positive.\nAnswer: h**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/45*7\/(-28)*-66.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10112?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2128*q**2 - 521*q**2 + 6*q**3 - 5*q**3 - 1106*q**2 - 501*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f = 25*f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10440 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 138 + 819. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-2)\/48). Let q = 14 + t. Suppose -7*u + 5 = -q*u. Is 1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 2*s + 2*s + (-2 + 2 - 8)*(-2 - 2*s + 2) in the form d + x*s and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577999 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56757 take away -9156?\nAnswer: 9155.43243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 - 205.9. Let k = 34 - 25. Let c = n - k. Round c to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.18 - 2.08. Let d = -26 + 25. What is the closest to d in m, 14, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 11*x - x + x + 2*x + (-4 + 4 - 1)*(x + 2*x - 5*x))*(-2 + 2 + x) to the form m*x + g*x**2 + u and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 692887*h. Let q(p) = p. What is v(q(k))?\nAnswer: 692887*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 6, x: 2, q: 1, t: 1}. Give prob of sequence xptm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*((sqrt(832) - (sqrt(832) + -4*-3*sqrt(832))) + sqrt(832)))**2 - (sqrt(234)\/(sqrt(6) - (sqrt(6) - sqrt(12)\/sqrt(2))))\/(1*sqrt(108))).\nAnswer: -1610752 + sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-13 + (-6303)\/(-396)) + 1170\/(-28)?\nAnswer: -87\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0.09.\nAnswer: -2, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*-1*4)\/(sqrt(12)\/(sqrt(4) - (sqrt(4) + sqrt(8)\/sqrt(2))*3)).\nAnswer: 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35, -0.5, -2, 1\/3, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, c: 8, t: 1}. What is prob of picking 1 c and 1 t?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -914 (c) -2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 5*c + 2. Let u be m(8). Let a = u - -15. Let k(t) = t - 1. Let p(o) = -o + 1. Let h(l) = a*p(l) - 6*k(l). What is h(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/5*35\/14. Suppose n - f - 10 = f, -k*f - 15 = -n. Solve -3*v - 12 = n, -2*v - 18 = -4*l + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**36\/((l**(4\/11)\/l)\/l) assuming l is positive.\nAnswer: l**(414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/4 + 508055*a**3 - 64016403*a**2\/2 + 519756137*a - 1953023963\/4 = 0.\nAnswer: -2032283, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 7*t + 14646. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 + 2*p - 2. What is y(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439ab (base 12) to base 5.\nAnswer: 10331210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/5 and -21\/290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 3. Let b be o(5). Let y = -244 + 246. Let w be (y - -3)*(-3)\/(-5). Solve 0 = -w*s + s - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i + 2. Suppose -2*z = 5*v + 1, -z - 755*v = -757*v + 5. Suppose 94 = -3*t + d + 1, 5*t + 3*d + 169 = 0. Let k be z\/4 + 40\/t. Calculate s(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.15 rounded to 0 dps?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 33*d**2 + 16. Does 10 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 3 - (-14 - -56)\/(-6)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/24 + 1284\/(-95) - 1\/(-5)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1802*g**2*t + 2*g - 2606*t wrt g.\nAnswer: -3604*g*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 316\/1106 + (-488)\/(-252).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 - 7)*(-4*d + 0*d + 3*d)*(4*d - 4*d - 1 - d)*(-d + 0*d + 6*d).\nAnswer: 10*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15321 to three dps.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 254115 (base 9) to base 11\nAnswer: a5702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 1. Let m(n) = n**2 - 1 - 2*n**2 + 0*n**2 + 4*n - 3*n. Let d(o) = a(o) - m(o). Find the second derivative of d(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5669 is divided by 180?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Let l(s) = 2*s + s**2 + u + s - 2*s - 2*s. What is the units digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388884338 to the power of 1\/3, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(-2\/7))\/p*p*p))**(-12)\/(p**(1\/2))**(41\/4) assuming p is positive.\nAnswer: p**(577\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8334, 28067, 81630, 185937, 357902, 614439, 972462, 1448885?\n\"Answer: 2819*h**3 + h**2 - 3*h + 5517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 2. Let j be l(-8). Let o = 68 + j. List the prime factors of 2*(-3 + o\/(-4)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 22 = r, 13 = -2*x + 162*r - 163*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -35, -4, 0, 29, 2, -1 in decreasing order.\nAnswer: 29, 2, 0, -1, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f + 2*n + 2 = 0, 0 = -5*f + 2*n - 22. Let q(v) = -v**2 - 2*v + 2. Let g be q(-3). Sort g, 2, 5, f.\nAnswer: f, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -1. Let l = -4991.9 - -4761. Let m = l + 231. Which is the biggest value? (a) 5 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11922383 by -11922383.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3 - 514\/3. Let t be (1292\/s)\/(2\/(-5)). Let n = 13 + -2. Solve -n - 4 = -5*b, 5*z + t = 3*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132 is divided by 107?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001001111 - -10000000010100101?\nAnswer: 10000011011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714 or 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:01 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l - 2. Let n be p(2). Let s(k) be the third derivative of 0 + 0*k + 7\/60*k**n - 2\/15*k**3 - 1\/30*k**5 + 2*k**2. Factor s(x).\nAnswer: -2*(x - 1)*(5*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 9. Let n = c + -12. Let z = n + 6.972. Round z to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three fifths of a hour?\nAnswer: 38160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/4 + 7968417*c**2\/4 - 23905359*c.\nAnswer: 3*c*(c - 12)*(c + 2656151)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 15*h**2 - 33*h + 160. What is i(14)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d + 15*d**3 + 63*d + 228*d**3.\nAnswer: 243*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 116?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/12)\/((-119)\/(-21) + -6). Let r = 3 + -13\/4. Let p be (-43)\/(-9) - 3 - 2. What is the smallest value in s, -1\/6, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12018 rounded to 3 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5699.6015 rounded to the nearest 10?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -1\/5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 - 16*j**4 + 24*j**3.\nAnswer: 2*j**3*(j - 6)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53\/5 + -361\/35. Put -4, 1, c in increasing order.\nAnswer: -4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8225.5 - -8225. What is the closest to 0.1 in 5, -0.4, 12.2, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 79*d**2 - 3*d + 230. Determine i(79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.5 rounded to 0 decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 9. Suppose 0 = -2*j - 2*j + 511976. Suppose -2*n = q - 42575 + 10571, -s*n - j = -4*q. What is q rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*s + 16 = -132*s. Calculate the lowest common multiple of 1150 and s.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21806600.\nAnswer: 2, 5, 107, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 - 3*x - 4. What is the remainder when 194 is divided by u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**4\/12 - v**3\/6 - 5*v**2. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*u - 20, 76*u + 9 = 3*z + 75*u. Solve 0 = z*c - 5*k + 2, 15*c + 4 = 11*c - 2*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -1064115?\nAnswer: -44\/1064115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*w**5 - 2*w**4 - w**3 + 412415*w?\nAnswer: 2060*w**3 - 24*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22946 = -631*u - 412*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6166884 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: Find the common denominator of -55\/16 and -107\/103920528.\nAnswer: 103920528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 3 + 1)*(0 + 0 + 3*s + (-3 + 1 - 3)*(3*s + s - 5*s)) to y + c*s and give c.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 258b65e + 4?\nAnswer: 258b663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169 + -115. Calculate the remainder when 155 is divided by h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 17*m - m - 17*m + 2*m**2 to the form c*m + o + r*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3989 + 0\nAnswer: -3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 5:54 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwfwfowqqy. What is prob of sequence qywo?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 82 = 86, 6 = -h + 2*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*c = -1, 5*y + 80 - 47 = -4*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708973 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 7537172013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*g - 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-150)\/(-39) + 8\/52. Let c(l) be the third derivative of 0*l - 4\/3*l**3 - 1\/60*l**5 + 1\/4*l**4 + 0 + z*l**2. Give c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -493?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117607430 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-3 - 2 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 752 + -33?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 463 and 305117?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/3 + 23570*b**3 + 625023362*b**2\/3 + 208270414*b - 1249905316\/3 = 0. What is b?\nAnswer: -17677, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(228))\/((sqrt(3) - 3*sqrt(3))*5)*-5)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = 4*a - r, -r = 3*a + 7. Let u be a*(5 - 0) + -98. Let z = -101 - u. Solve 0 = -0*b + z*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.7443 + -6943.1057. Let q = 6973.84993 + x. Let v = 4 - q. Round v to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 0 + 0*x**3 + 7\/10*x**5 - 63*x**2 + 0*x**4 - 1\/40*x**6 - 2\/105*x**7. What is the third derivative of t(l) wrt l?\nAnswer: -96*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**2 + 10283 - 10278 + 9*a**2 - 10*a**3 to the form h*a + f*a**3 + j*a**2 + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*k - 4163, -2*d + k = 2*d - 3344. Suppose 5*w + d = 4485. Is w a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1996817714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13859 - -24829. Round w to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-3)*s)\/s*s**(-4)*(s**1)**5)**(2\/99) assuming s is positive.\nAnswer: s**(-2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h - 3 - 2 - 3*h + h**2. Suppose -55 = -10*m + 5*m. Determine n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 635, 952, 1269, 1586?\nAnswer: 1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62262.\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 times 4?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -10. Suppose -5*y - t + 65 = 0, -t = -o*t - 5. Solve -4*a - 3 = -h + y, 0 = -a - 2*h + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 702294054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 3. Suppose 3*b + b = 0. Let g be 2*((-15)\/(-6) + b). What is the units digit of q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*w**2 - 887*w**2 + 443*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (14 - -1 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1771174940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -37*v**4\/3 + v - 55. Let y(g) = -2*g. Give y(j(h)).\nAnswer: 296*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 + 2. Let u = 6 + -9. Let r be t(u). Solve r = k, -2*s - 3*s = 4*k - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l - 37. What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 2*s**4 + s**4)*(-7*s + 4*s + 2*s) - s**5 + 2*s**5 + s**5 + (2*s**4 - 6*s**4 + 2*s**4)*(2*s - s + s) + 32*s**5 + 15*s**5 - 18*s**5.\nAnswer: 26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-4)\/(5 + -9). Solve 0 = -v*s + 4*j - 11 + 3, 0 = s - 2*j + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 + 15*y. Let z(k) = -5*k - 42. Let f(n) = 4*n + 35. Let c(h) = -6*f(h) - 5*z(h). Give 45*c(l) - 3*d(l).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + 1*-2*1. Suppose -2*j = -t*j. Suppose 80 = 4*u - j*u. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*w + 2*x - 2, -3*w = -2*x + 6. Suppose 5*r + w*r = 0. What is the remainder when 13 is divided by 4\/((-12)\/(-21)) - r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r - 5*q = -3, 0 = -2*r + 2*q + 6. Let w(v) be the first derivative of -v**2 - 14*v + 3. Let p be w(-10). Solve t - p = -r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03014064 to 4 dps.\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-6)\/190*28\/168*5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 731?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 101*b - 106*b + 62*b - 68*b + 3 - 5*b**2.\nAnswer: -7*b**2 - 213*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 46 = -3*k, k + 6 = q + 3*k. Let m be (-56)\/(-21)*(13\/(-2) + 5). What is the units digit of 4\/(m*(-1)\/q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380454167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61\/60 - 4\/15. Let d = -4.7 - -2.7. Let h(v) = v - 3. Let z be h(5). Which is the nearest to -0.1? (a) z (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -202, -630, -1470, -2860, -4938, -7842, -11710?\n\"Answer: -23*f**3 + f**2 + 4*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 + 2.2. What is the nearest to 0.2 in 0, -4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhbbhhhbbbbh. Give prob of picking 2 b.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 176665, 353428, 530191, 706954, 883717, 1060480?\n\"Answer: 176763*d - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, x: 3, v: 3, j: 2, d: 1}. What is prob of sequence vdk?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let c be h\/6*-4 - 2. Suppose c = -z + 16 + 28. What is the remainder when z is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3 + 44*z**2 - 320*z + 768 = 0.\nAnswer: 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 4*r - 5 - 3*r**2 - 4*r + 0*r**2. Let b be q(5). Solve b + 4 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15210257 (base 8) in base 10?\nAnswer: -3477679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287\/5 + -57. Let o = 4.1 + -4. What is the closest to o in j, -1\/2, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 4*b**2 - 5*b. Let k(h) = 2*h**3 + 3*h**2 + 4*h. Let q be 3\/(0 - (-6)\/8). What is q*k(w) + 3*u(w)?\nAnswer: -w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(448) - (sqrt(448) - (sqrt(448) - ((sqrt(448) + 2)*-2 + sqrt(448)))) - sqrt(448) - 5*(-4 + sqrt(448))) + 3) + 4)**2.\nAnswer: -16320*sqrt(7) + 71737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2760354024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1503\/2 (b) 0.4 (c) 28 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059998 divided by -6?\nAnswer: -343333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-33992)\/84*(-9)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:47 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/123543 and -59\/54279.\nAnswer: 20137509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002101012202 (base 3) to base 8.\nAnswer: 12241220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4139154 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g + 66. Let l(m) = 2 - 1 + 0. Let p(y) = 66*l(y) - r(y). Let z(f) = -4*f. Calculate p(z(a)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 152 = 2*h. Suppose 8*z = 2654 - 550. What is the remainder when z is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 79. Let y(o) be the third derivative of 1\/2*o**3 + 0 + 0*o + 0*o**4 - 3*o**2 + 0*o**5 + 1\/40*o**n. Find the first derivative of y(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 0.02, 3 in ascending order.\nAnswer: 0.02, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 465 + 5447. Let o = 12810 - b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7879 and 0.\nAnswer: 7879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let q be 0*(-2)\/(-8)*m. Suppose -4*x + 56 = -q*x. What is the greatest common divisor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.69 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -629 divided by 8\nAnswer: -629\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 - 1 = 0. Which is the biggest value? (a) q (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1 + 4*j + 4*j + 3 + j**2. Let k(t) = -t**2 - 7*t - 1. Let h(i) = -5*k(i) - 4*n(i). Determine h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898 - 3*i + 20*i**2 - 2*i**2 - 17*i**2 - 10*i**2.\nAnswer: -9*i**2 - 3*i + 898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, u: 1, y: 1, q: 2, s: 1}. What is prob of sequence ry?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -242, -549, -968, -1493, -2118, -2837?\n\"Answer: s**3 - 65*s**2 - s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 o, and 1 s when three letters picked without replacement from {p: 1, l: 1, s: 3, o: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -319*y**2 - 17273*y - 32. Determine b(-54).\nAnswer: 2506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1201241411 + -10?\nAnswer: -1201241421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 227475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16005?\nAnswer: 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**7\/42 + 29*x**6\/30 - 27*x**5\/2 + 175*x**4\/3 + 500*x**3\/3 - 763*x - 2. Determine w, given that d(w) = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 869?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c61bff - -2?\nAnswer: -c61bfd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**3 + 1678432*l**2\/13 + 13409938*l\/13 - 206704\/13 = 0. Calculate l.\nAnswer: -8, 1\/65, 12919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 44 (b) 2\/3 (c) 1\/108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103968 is divided by 1108?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*d + 18 = 0, d - 45 = -5*w + 3*d. Let z = -17 + w. Calculate the remainder when ((-146)\/(-3))\/(z\/(-12)) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32204585 is divided by 172.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2295 - 2295. Solve -5*v + 0*v - t - 2 = m, 4 = 5*v + 3*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 + 6*j - 14. Let o be d(7). Let v(h) = h**3 - 7*h**2 + 6*h + 8. Let f be v(9). Calculate the greatest common factor of o and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8339 is divided by 693.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-109384)\/(-9899198903)) - 2\/11. Let m = -180999 + r. Calculate the common denominator of -103\/10 and m.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.0765\nAnswer: -0.00765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/8 + 4 + (-130)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**3 + 80003*l - 17*l**3 + 30*l**3.\nAnswer: -2*l**3 + 80003*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wqqqqqwqqqwq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -94. Let f(a) = -a. Give f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/120 - r**5\/15 + 5*r**4\/24 - r**3\/3 + r**2 - 23. Solve b(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5893371.\nAnswer: 3, 11, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g - 2. Let x(k) = 28*k - 5. Suppose -2*m + 20 - 15 = -3*t, 5*m + 35 = -2*t. Give t*j(z) + 2*x(z).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/3)\/2)\/(-10*70\/86100)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5 - 104*x + 26*x + 25*x + 30*x + 25*x. Determine l(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 566 + 374 - 786 - 4*m**2 + 9*m**3 wrt m?\nAnswer: 27*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - m = -0*h + 20, -2*h - 11 = m. Let l(o) = o + 5. Let y be l(-6). Let t be (h\/(-54))\/(y\/(-3)). Is t at least -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 22203392?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-2 - 5\/(-1)). Suppose l*y = 17*y - 5418. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 3*h**2 + 0 + 0*h**3 - 1\/60*h**5 + 0*h + 3\/8*h**4. Let p be w(5). Calculate the highest common divisor of 220 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.2 + -0.2. Let g = 1073 + -1075. Which is the smallest value? (a) o (b) g (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/7)\/((-3)\/21). Solve -5*h = -6*h + w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and 2640?\nAnswer: 187440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841717905 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19160000 rounded to the nearest one hundred thousand?\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -53*p**4\/12 + 3*p**3 - 5*p + 1. Let h(r) be the first derivative of f(r). Find the second derivative of h(i) wrt i.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 44*o**2 + 29*o**3 - 104*o - 29*o**3 + 34*o**3 + 22*o**3.\nAnswer: 4*o*(o - 1)*(o + 2)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 + 7 = -2*x, -2*l = 4*x + 16. Is 79 + (1\/(3\/(-6)) - l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 15*n - 1310. What is the remainder when n is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-450)\/12)\/(-5))\/(117\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10209\/32 - -319. What is the second biggest value in j, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(539)*-2)**2.\nAnswer: -112*sqrt(11) + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 32263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 14, 0.\nAnswer: -4, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(19) + sqrt(19) + -4) + sqrt(19) + sqrt(76)*-1 - (-3 + (-1*(sqrt(171)*-2 - sqrt(171)))\/sqrt(9))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*z - 3. Let b(l) = 3*l**2 - 359*l + 2371. Let w be b(7). Put 4, -3, w, z in increasing order.\nAnswer: -3, z, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(4\/5))*(z**(-23)\/z)\/z)\/(z**6)**(-8) assuming z is positive.\nAnswer: z**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -58. Let h be (-905)\/(-15) - j\/6. Suppose 3*n - h = -0*n + t, 0 = -5*t - 5. Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62712, 125419, 188124, 250827, 313528, 376227, 438924?\n\"Answer: -p**2 + 62710*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14733700 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(18\/(-6) + 4) - 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + 356\/10. Suppose 3*a + 3*l - l - 32 = 0, 4*a + l - r = 0. Calculate the lowest common multiple of a\/(-3 + 6 + -1) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2*g. Let h be i(-2). Suppose 0 = 4*s - 12 - 12. Let m be ((-4)\/s)\/((-8)\/12). Solve h = 5*y + m + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n - 34*n = 0. Solve n*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 848749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v - 9*v + 18*v**2 as f + o*v + a*v**2 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 + 1390*l**2 - 60*l**4 + 1235 + 3*l**5 + 105*l + 155*l**4 - 3440 + 610*l**3 = 0. What is l?\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(15\/(-2))*-48. Let t(d) = 8*d**3 - 29*d**2 + 24*d - 13. Let k(w) = 52*w**3 - 188*w**2 + 156*w - 84. Let l(r) = x*t(r) + 5*k(r). Factor l(i).\nAnswer: 4*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*q - 218 - 430 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q + 7. Let g = q - -8. Let n(i) = 20*i**3 + i**2 + i - 1. List the prime factors of n(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.790758 to two decimal places.\nAnswer: 4.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -12. Let u = f + 3. Let g = 8 - 4. Which is the closest to 0? (a) g (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-6) - 8)\/((-21)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -52.4. Let w = 4 - 2. Is p greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (207*q - 51*q - 63*q)*(-2*q + 0 + 0) as o*q**2 + t + l*q and give o.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7630 + 7672. Calculate the highest common factor of n and 960.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*t + 90*t = -59*t + 1100 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 79 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = 7. Suppose -b + v + 39 = 0, -107 = -3*b + 3*v - t*v. Is 17\/b + (-1265)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 + 3 = 0. Suppose -27 = -5*o + 2*v, r*o - 16 = 4*v + 8. Suppose -4*l = -2*h + 104, h = -o*l + 70 + 10. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2312 divide 8019734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*u + 1000 = 0, -m - 2*u = -0*u - 328. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 131*b**2 + 5*b + 21. Let i(x) = 67*x**2 + 2*x + 10. What is 11*i(u) - 5*y(u)?\nAnswer: 82*u**2 - 3*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 2810247.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(187)\/(sqrt(121)\/(sqrt(11)*3)))**2 + sqrt(34)\/(-6*sqrt(8)) + -5.\nAnswer: -361*sqrt(17)\/12 + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046350932 to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 384509857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6885 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 12*x. Let u be o(-6). Suppose 5*a + z = -u*a + 18, 5*a = -3*z + 14. Let q(p) = 11*p - 6. What is the tens digit of q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2 + 811966*b - 7629007?\nAnswer: 4*b + 811966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 271319, -223 in ascending order.\nAnswer: -223, -5, -2, 271319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 1, -5, 2.\nAnswer: -104, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27013\/(-49) + (-4)\/(-14). Let q = -551 - d. What is the closest to q in -6\/7, 8, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlf when three letters picked without replacement from flfclv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1176806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, -1681, -6758, -16653, -32974?\nAnswer: -57329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8977650 divided by -27205\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -3, -9584.\nAnswer: -9584, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - (7 - 5)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(4\/8*-4). Solve 5*p - 8*p - o = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168*-0.04493482.\nAnswer: 7.54904976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*j + 56, -3*j = z - 1 - 5. Calculate the lowest common multiple of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1580 and 109\/22560?\nAnswer: 1782240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, 7, -9, 2 in ascending order.\nAnswer: -9, -4, 2, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4306 + -1705. Let u = o - 2602.309. Round u to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-2*-3 + sqrt(91) + sqrt(91))\/sqrt(7) + (-2*sqrt(325)*4 + sqrt(325))**2.\nAnswer: 9*sqrt(13) + 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 5*n. Let k(v) = v. Let x be 8\/10*(-20)\/8. What is x*k(j) + d(j)?\nAnswer: 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a10 (base 14) to base 2.\nAnswer: -11110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 235\/6. What is the second biggest value in 7, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 35 = 45. Suppose -t*f + 4*f = -5. Suppose -y = 3*y - 2*j - 50, -4*y + 85 = f*j. Calculate the remainder when 28 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - -103. What is the remainder when d is divided by 183?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411 (base 8) in base 13?\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -41. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 541 - 536. Solve -5*l + 3 = -4*n + s*n, 5*n + 6 = -4*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.3 - -87. Let l = g - -6. Let z = l - 1.9. Which is the closest to -2? (a) 0 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6002674846 to the nearest integer?\nAnswer: 77477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*j + 101. Let y = j - -19. Let p be (4\/6)\/((-1)\/y). Solve 3*a + 0 = p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - 0.1207.\nAnswer: -38.1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z, 0*r = -5*r + 5*z + 85. Suppose 3*w = 2*w + 2*x - r, 2*w + 5*x = 2. Let o = w - -10. What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -443, -3959, -13801, -33227, -65495?\n\"Answer: -543*r**3 + 95*r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 - 13*p**3 - 31*p**2 + 3?\nAnswer: 48*p - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.084.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*j - 23381 - 5284 = -228*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 - -3837\/13. Let i = -0.8972 - -0.3972. Sort 14, -2, i, t in increasing order.\nAnswer: -2, i, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**3 + 1288*q**2 - 429*q + 194. Determine m(-215).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(3 + ((sqrt(325) + -1 + sqrt(325) - sqrt(325)) + 5 - sqrt(130)\/((2*sqrt(120))\/sqrt(12)))) + -4)**2.\nAnswer: 1530*sqrt(13) + 30949\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 101 - 101. Does 33 divide (-2 + 3)\/(s + 7\/5369)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028981 rounded to 7 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*u = 925*u - 53328 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*y**2 + 561*y**2 + 5 + 23*y - 121*y + 12 - 6.\nAnswer: -3*y**2 - 98*y + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -315046, -630090, -945134?\n\"Answer: -315044*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 32\/975?\nAnswer: 32\/975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 639 + -129. What are the prime factors of x?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + (8 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + sqrt(272)*-3)*4)**2 + -3.\nAnswer: 39165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 4 - 4 + 0.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76) - (-5*(1*sqrt(76))**2 + sqrt(76))) - 6*sqrt(76)*1.\nAnswer: -10*sqrt(19) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -7) + 6\/1. Suppose 0*b + 2*b = -3*t + 56, w*b = -2*t + 162. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -22. Let w(r) = -r - 3. What is w(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 8.\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119.342 - -84.693. Let n = -34.3 - m. Round n to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -120, -150, -178, -204?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, 2\/3, -22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 3. Let f be t(1). Let o be 0 + -3 + f + (-14)\/(-12). What is the second smallest value in 4, -5, o, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*y + 115*y - 378*y + 118*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2158*q + 2161*q, -4*y = 4*q - 19 - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 371 - 326. What is the least common multiple of 36 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/12*26\/4. Let r = 15 - y. Suppose -1\/2*d - 1\/2*d**r + 0 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 2)*(1 + 0 + 0) - 5 + 4 + 3 + 0 + 0 - 2 - 4 + 1 + 5)*(20 + 0*k + 11*k - 18) to l + m*k and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/10 - 55*g**4\/24 - 3025*g**3\/6 + 2081*g**2. What is the derivative of y(v) wrt v?\nAnswer: -12*v - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748, -1207, -1372, -1243, -820, -103?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161889319, -323778635, -485667953, -647557273?\nAnswer: -809446595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.21 - 0.51. Let f = -2.014 - -0.014. Which is the second smallest value? (a) i (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:02 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-38 - -89) - -45?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**2\/2 - 51. Give w(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + (-2 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*n + 42, 4*n = 2*n - 5*g. Suppose -2*l - 3*j - 10 = n, 0 = -4*l - 3*j - 34. Let z(v) = -9*v + 7. Let p(b) = 8*b - 6. Calculate l*p(x) - 6*z(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3615157 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -382*a. Let v(w) = -2*w. What is k(v(t))?\nAnswer: 764*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5568894315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:43 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/2 + 62*j + 123\/2 = 0. Calculate j.\nAnswer: -123, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/5813 or -40?\nAnswer: -8\/5813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/228*8 + (-10)\/(950\/(-18515)) is divided by 104.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -36, -0.07, 3, -0.4, -2170, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j + 1. Let u be c(4). Let o be (((-48)\/(-1))\/3)\/1. Suppose o = 4*l, -9 - 15 = -u*v - l. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-10)*(-32)\/(-6). Suppose o = 5*u - u. Suppose 65 = 5*l - 5*j, 0 = -u*l + j + 28 - 1. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 326 + -37?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/60 - 5*g**4\/24 - 5*g**3\/6 + g**2 - g. Let l(q) = 3*q + 2. Calculate 5*l(c) + 2*m(c).\nAnswer: 2*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(28)\/sqrt(4) + 5 + 1 + sqrt(35)\/sqrt(5) + (0 + sqrt(7))*-6 + sqrt(7) + 1)**2 + -2).\nAnswer: -126*sqrt(7) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**5*l + 14*g**5 + 3*g**3 - 68*g**2*l - g**2 + 3*l wrt g.\nAnswer: -600*g**2*l + 840*g**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g + 2. What are the prime factors of (g\/2)\/(5\/130)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32839*t + 14317810. Calculate p(-436).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5266\/19 - 982117\/3534. Calculate the common denominator of 38\/9 and j.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8529*o**2 + 3. Let n(w) = -11*w. Determine n(d(u)).\nAnswer: -93819*u**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*s - 100*s = -245. What is the remainder when 27 is divided by 1\/(s\/(-18) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 6*h**3 - 2657*h**2 + 2657*h**2 - 3*h.\nAnswer: 6*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:56 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 27605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - u**2 - 7*u - 6. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkkp when four letters picked without replacement from {h: 1, p: 1, z: 1, k: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 20*x + 35*x - 19*x to the form r + n*x + z*x**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021549263 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xqxqoqoqqoqxoqoooq.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose 18 = -2*i + y*i. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 10926 = 7086. Let g = -1635 - o. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 1\/4, -5, -18, -210, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69180\/119912*3\/((-6)\/(-13)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 732\/854*35\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 - 17*t**3\/6 + 26*t. Let g(w) be the second derivative of l(w). Let a(n) = -6*n**2. Determine a(g(x)).\nAnswer: -216*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**4\/7 - 4818*o**3\/7 - 579846*o**2\/7 + 116162*o\/7 = 0.\nAnswer: -241, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 - 123*l\/7.\nAnswer: -3*l*(l + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.043*632.\nAnswer: 5083.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*s + 35, 0 = -4*v - 71*s + 67*s + 4. Let w(b) = b**3 + 7*b**2 + 7*b + 6. Let j be w(-6). Factor 0 + j*a - 9\/4*a**2 + 3\/4*a**v + 3\/2*a**3.\nAnswer: 3*a**2*(a - 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -260, -258?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/49*63\/36*7\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5362 - 2907. Suppose -g = -924 - f. Suppose 646 = -3*c + g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-4)\/8) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 255*o**3 + 5*o**2 - 10*o - 10. Calculate b(-1).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2222899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451676 is divided by 41060?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 2.9. Let l(u) = u - 4. Let i be l(0). Let s = i + 1. Which is the biggest value? (a) s (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7072 + -106a4?\nAnswer: -17746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9708.042 + -9547.9. Let d = s - 160. Round d to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -163 + 51. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4740006 is divided by 6320.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 16 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/13740 and -157\/56568954.\nAnswer: 565689540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 18 + 0*o + 2*o - 66.\nAnswer: 2*o - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 784 = -2*r, 18*a = -3*r + 13*a + 1174. Let q = 402 - r. Suppose 0 = -3*x + 9. What is the remainder when q is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.6979m in kilometers?\nAnswer: 0.6686979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 186*o + 36 + 166*o to the form a + q*o and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608780704 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -0.07. Let b = k - -24.95. Let v = -24.999888 + b. Round v to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 30*s - 13*s + 8 - 14*s + 16*s**2.\nAnswer: 16*s**2 - s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/z**12*z**(-3\/2)\/(z\/z**18))**(-43) assuming z is positive.\nAnswer: z**(-3741\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l + 5*w, 0 = l - 3*w. Suppose 0 = -3*g + 4*m + 16 + 9, l = 2*g + 3*m + 6. Solve 2*t + 25 = -g*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (71\/(-24))\/(68\/(-34)) and -95\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosxjjbu. What is prob of sequence bo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 10*y + 1323234 = 0. Let c be -720239 + 2 - (-8 - -5). Let l = c + y. Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2. Let t(z) = z**3 + 1530*z**2 + 3*z - 366. Let q(k) = 2*l(k) + t(k). Find the second derivative of q(x) wrt x.\nAnswer: -6*x + 3060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0487 - -37.1487. Round q to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104554 by 2.\nAnswer: -52277","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5272 or 5269?\nAnswer: 5272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -142, -540, -1198, -2116?\n\"Answer: -130*t**2 - 8*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 + 7?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2088 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98789401, -98789393, -98789371, -98789329, -98789261, -98789161?\n\"Answer: g**3 + g**2 - 2*g - 98789401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -0*o. List the prime factors of o\/(-5) + 72267\/195.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/9 + 308*s**4\/9 + 6724*s**3\/9 - 726116*s**2\/9 + 531472*s - 891136 = 0. Calculate s.\nAnswer: -48, 3, 4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25642, -36140, -46638, -57136, -67634?\nAnswer: -78132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 428*p**2 + 3414752*p.\nAnswer: -4*p*(p - 979)*(p + 872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*v = -3 + 100, v - 115 = -4*q. Let g = q - 31. Let y be 21\/(-12) + (3\/g)\/(-1). Put 1\/3, 2, y, -1 in increasing order.\nAnswer: -1, y, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346394?\nAnswer: 2, 3, 7, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179271.\nAnswer: 3, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 498 in 6, -187, 4, -47?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 104979?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. What is the third derivative of o**2 - 2*o + 2*o - s*o**5 + 0*o wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by -7284636?\nAnswer: -103\/7284636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 11:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*z = 331, -29*a - 488 = -32*a + 4*z. What is the highest common divisor of 328 and a?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*u**3 - 321*u**3 - 11 + 637*u**3 to t + m*u**2 + d*u**3 + w*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w - 2*w + 2*w + 3*w + (0*w - 2*w + 3*w)*(0 - 3 + 4))*(w + 0*w - 4*w - 25 - 56*w + 25 + 0*w - 5*w + 12*w + (-4*w + 2*w + 0*w)*(2 - 4 + 4)).\nAnswer: -336*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 8*z**3 + 33*z**3 + 1 + 26*z**3 - 13*z**3 in the form x*z**3 + b + p*z + d*z**2 and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*g**2 + 3*g*h + 4*g + 17*h - 56 wrt g?\nAnswer: -146*g + 3*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 * 3.8.\nAnswer: 0.1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)*((q**(1\/9)*q)\/q*q)\/q)**40 assuming q is positive.\nAnswer: q**(328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2 + (-65 + 25 + 17)*(2 + 1 - 4))*((-3 + 1 + 3)*(-2*n + 2*n + n) + n + n + 0*n).\nAnswer: 66*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-11) + 42\/(-10). Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 9) in base 14?\nAnswer: c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 288417, 576826, 865227, 1153620, 1442005, 1730382, 2018751?\n\"Answer: -4*q**2 + 288421*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2*v**3\/15 + 144*v**2\/5 + 2176*v\/5 + 13462. Let a(q) = 0. What is q?\nAnswer: -136, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1767662 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 10*m - 16. Calculate k(-12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10576858309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 17 + 0)*(3*i - 2*i**2 - 3*i) + i**2 + 0*i**2 - 3*i**2 - i**2 + 0*i + 0*i + (3 - 1 - 4)*(i**2 + i**2 + 0*i**2).\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.9. Let v = -27 + 24. Which is the smallest value? (a) -2 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173972273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10212 and 520220?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13402 - 152?\nAnswer: -13554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**2*y - 23975*a**2 - 12*y**2 + 18*y wrt y.\nAnswer: 4*a**2 - 24*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2 + 21*r + 20. Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-4 + 9))\/(-2). Is k bigger than 492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c3 + -6a58?\nAnswer: -701b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*i + 22*i - 1250 = -15254 + 580 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31823 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1597 - -1597. Solve 4*c + 19 - 31 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39285652, -78571308, -117856978, -157142668, -196428384, -235714132, -274999918, -314285748?\nAnswer: -353571628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 308084, 307790, 307498, 307208?\n\"Answer: o**2 - 297*o + 308380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98556676*t**6 + 6*t**2 - 2*t + 5519997 wrt t.\nAnswer: 11826801120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 11*x - x - 5*x. Let o(v) = -v**2 + 5*v. Let q(g) = 3*g. Suppose -2*z = -z - 5. Let d(u) = z*q(u) - 3*o(u). What is c(d(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 + 3*m**2 - 8*m + 3. Let p(i) = -6*i**3 - 4*i**2 + 9*i - 2. Let k(h) = 4*j(h) + 3*p(h). What is the units digit of k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 5*r**3 - 8*r**3 + (-1 - 2*r + 1)*(5*r**2 - 6*r**2 + 0*r**2) - 2*r - r**3 + 14*r**2 + 15*r**2 - 28*r**2 - 3.\nAnswer: -8*r**3 + r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849952.\nAnswer: 2, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2302*m - 16876 + 644 = -277*m - 230289 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 - -2b?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (291\/(-2))\/(1053\/702).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.968 times -2215\nAnswer: -2144.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**2 + c + 2. Let j(p) = -p + 5. Let t be j(9). Let n be (t\/(-3))\/(6\/9). Let v be g(n). What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251 (base 7) in base 16?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 44 + (-74 - -34) + -33.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppevfr. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2424449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 340, 735, 1286, 1993, 2856?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11)*y)**17\/(y**(3\/14)*y*y\/((y\/(y*y**(-3\/11)\/y*y)*y)\/y)))**1 assuming y is positive.\nAnswer: y**(2795\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 4. Suppose -47 = 3*g - v. What is the units digit of 1\/(-5) + (-22)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 - q - 4. Calculate w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 23*t**5\/120 + 2*t**4\/3 - 6*t**3 + 23. Let h(z) be the third derivative of a(z). Differentiate h(o) with respect to o.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.409\nAnswer: 1.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3713737447\/80476 + -2725113\/59. Let m = o - -1260\/31. Let u = -9\/11 - m. What is the smallest value in 1, u, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + z. Let t be q(-1). Suppose -m = -5*p - 10, 2*m = -p - 3*p - 8. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(7\/4)*f)\/f**(-8\/7))**19 assuming f is positive.\nAnswer: f**(2603\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(0 - (-6)\/(-9)). Let t(k) be the first derivative of -k**3\/3 - 5*k**2\/2 - 2*k + 4. Calculate t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, -1, 0.5, -5\/7, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:08 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (1 + sqrt(13))**2*-3.\nAnswer: -46 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2747950691\/2248565 - 14\/204415. Let f = d - -1223. Suppose f*s**3 - 6\/11*s**4 + 0*s + 0 - 4\/11*s**2 = 0. What is s?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {p: 3, h: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(50))*-5.\nAnswer: -25*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**6 + 15653*p**4 + 5*p**3 - 103955*p**2.\nAnswer: 240*p**3 + 375672*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -801, -4, 9\/7, 2\/21, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -6)*(-23 - -20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 18*n - 71. Let o be z(-6). Put 3, 5, -1, 2, o in increasing order.\nAnswer: -1, o, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*3*(-120)\/72*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174064237.\nAnswer: 3, 41, 5891773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 14*r**2 + 68*r - 719. Determine i(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 2:24 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a*a*((a\/(a**(-3\/14)\/a))\/a*a*a)\/a)\/a*a)\/(a*a**(-14)*a))\/(a\/(a**2*a)*a)**(-2\/5))**(-1\/62))**(2\/5) assuming a is positive.\nAnswer: a**(-1177\/10850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 23 = 8*o. Suppose o*g = 21 + 259. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4307?\nAnswer: 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:06 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let b = -32 + 46. Let q(t) = -12 + 2*t - b*t + 32*t - 13*t. Determine q(r(u)).\nAnswer: 14*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 131cf + 3ef?\nAnswer: 135be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 5*a, 3*f + 4 = -5. Find the third derivative of -2*u**a - 8*u**3 + 8*u**3 + u**2 - 3*u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143*h**3*i*w - 5*h**3*w + h*i*w + 9*h*w with respect to i.\nAnswer: 143*h**3*w + h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27801\/(-1686) - -1*2. Let z be (-2)\/4 + (-861)\/(-1686). Let a = r - z. Find the common denominator of -97\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262 + -268. Let t(n) = -n**2 - 8*n - 3. Let a be t(d). Solve 20*h - 17*h = -a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5003688 and 12540.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - -9) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(128) - sqrt(2)))\/(6*sqrt(14)\/sqrt(7)).\nAnswer: sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1374*w - 59114. Determine d(43).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 4990?\nAnswer: -4993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-627660)\/(-100) + (-3)\/5 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0413 - 0.0587. Let p = -0.07 + 0.07. Which is the nearest to p? (a) -4 (b) z (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, p: 1, c: 1, k: 1}. What is prob of sequence vc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.06 - -3. Let t = 1.86 + -2.2. Let o = g + t. Put 0.3, 4, o in increasing order.\nAnswer: o, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -1\/6*o**3 + 1\/60*o**5 + 0*o - 3*o**2 + 1\/24*o**4 - 1\/20*o**6 + 0. Let n be 3\/6*(-2)\/(-1). Calculate t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Suppose 8*q = i*q - 60. Let p = 35 + q. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 2\/9, 0.06, -192, 2\/19, -15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-28))\/((-3)\/(-4)). Let k be 3 + -8 + -291 + -3. Let p = -299 - k. Sort 3, n, -2\/21, p in increasing order.\nAnswer: n, -2\/21, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-61\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 37*g**2 - 35*g + 110. Let x = -806 + 770. Calculate the remainder when 74 is divided by w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*n - 172*b**2*y + 130*b*n*y - 2*b*n - 4*b*y wrt b.\nAnswer: -2*n - 344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 46002716?\nAnswer: 184010864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 51 - 15 = 0. Suppose 2*c + 2*u - 8 = 0, -4*c = -9*c + u + 50. Calculate the greatest common divisor of n and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10480712.\nAnswer: 2, 11, 119099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (3*sqrt(27)*1)\/(6*sqrt(9)*-2)).\nAnswer: -8 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6034014164.\nAnswer: 2, 463, 3258107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72178 + -26828. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.0802 (b) -2\/15 (c) 4 (d) 439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 51.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-36)\/(-15))*5. Let o = 0 + d. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101 - -10000101101100011?\nAnswer: 10000101111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 187 - 359 = 0. Let l(u) = 19*u + 289. Calculate the remainder when w is divided by l(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5547.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9631 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 0 - (1 - (-9 - -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((15\/(-72))\/((-2)\/(-8)))\/((-27)\/162). Solve 2*r = 3*w - 10, -v*w + 5 = 7*r - 8*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100021 - -101221?\nAnswer: 1202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -10\/7*q**3 - 2\/7*q - 16\/7*q**2 + 4\/7 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -53. Suppose 0*f - f = 1, -4*f = -4*j + h. Is j\/18 - (-1385)\/45 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9514, 18988, 28462, 37936?\nAnswer: 47410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*i + 4*a**2 + 4101*a*i - 65*a + 1459428*i wrt a.\nAnswer: 4*a*i + 8*a + 4101*i - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from lxxxmllxidkxk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -79*x + 474. Let o be k(6). Solve 3*p = -5*g + 10, o*p + 5*g - 10 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003041 + 24312?\nAnswer: 1032403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose -13 = u*a - 57. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 790 = 5*s - 0*s, -s - 2*q + 149 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 6}. Give prob of picking 2 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-80)\/45)\/(-8) - 136\/126. Which is the closest to n? (a) 0.4 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u - 7*u**2 - 14*u - 6*u + 2*u**4 to d*u**3 + x*u**2 + r*u**4 + o*u + h and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1585 divide 379949242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appmmmapospmommammam. What is prob of picking 1 m and 1 o?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (-6 + 28 - -25)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21949 - 21949. Which is the closest to p? (a) -2\/7 (b) -0.3 (c) -27\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 3}. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200187328?\nAnswer: 2, 11, 284357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*x + 2 + 23, -5*a + 3*x + 3 = 0. Suppose -a*n = -5*q - 406 - 222, 0 = 2*n + 5*q - 402. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55053*t - 8 = 55051*t - 6*h, 5*h = -2*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 7*w - 5. Let k be f(-8). Suppose 2*p = 3*i - 1525, -10*i + 7*i + 1524 = -k*p. What are the prime factors of i?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = 2*h + 14, h = 5*y + 8. Let w = -6.93 - 0.07. Let t = -2 - w. What is the closest to y in 1, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 28*j**3 - 10*j**2 - 114*j. Let p(l) = 27*l**3 - 8*l**2 - 114*l. Let d(f) = -2*k(f) + 3*p(f). What is the second derivative of d(u) wrt u?\nAnswer: 150*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**4*v**2 + 13*l**3*v**2 + l**3 - 10*l**2*v + 3*l*v**2 wrt l.\nAnswer: -120*l*v**2 + 78*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40615693 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30340.685 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 173*j**4 + 9*j**3 - 9*j**2 + 93. Let x(i) = -87*i**4 - 4*i**3 + 4*i**2 - 47. Let t(s) = 4*v(s) + 9*x(s). What is the first derivative of t(f) wrt f?\nAnswer: -364*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -12, -19, -28, -39, -52?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 369 = -3*t, 3*f + 3*t - 471 = -f. Let c = -120 + f. Suppose 5*o - k - 815 = 0, c = o + 5*k - 9*k - 182. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 2, -25\/21, 0.4, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**8\/28 - s**6\/30 - 4*s**5\/3 + s**4\/12 - 3*s**2 - 6. Find the third derivative of i(m) wrt m.\nAnswer: -720*m**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2 - 2 - h) - 2152 + 1073 + 1078 + 144*h.\nAnswer: 146*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0923, 1\/2, -361\/5?\nAnswer: -0.0923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 58, 0.13, 56, 4, 0.5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172974, -174451, -175928, -177405?\n\"Answer: -1477*o - 171497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n + 1. Let u = 59 - 63. Let t be c(u). Differentiate -21*o**3 + t*o**3 + 2*o**3 - 12 - 9*o**3 wrt o.\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5 - 4)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 4*r - 521 + 503, -g - 2*r - 12 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 2 (c) 6.5 (d) -0.22 (e) 9\/4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**2 + m**3 + 14*m**2 + 2 + 25*m**2 + m**3 as f*m**2 + h*m + v*m**3 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3811 and 47895?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*n*y**3 + 17*c**3*n*y**2 + 14*c**3 + 6*c**2*n*y**3 - 49*c*n*y**3 wrt c?\nAnswer: 6*n*y**3 + 102*n*y**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2 - 308\/(-264).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 64133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**3 - 2*x**2 + x + 2. Let c be j(3). Let m = c - 63. Calculate the remainder when m is divided by (3248\/(-48))\/(42\/(-18)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/70, 4.5, 2\/95.\nAnswer: -1\/70, 2\/95, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -21.2. Which is the nearest to 0? (a) -1\/10 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -5. Let u(b) = b + 3. What is the tens digit of u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (16\/(-12))\/(1\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**3 - 18 - 7*m**3 + 10 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5327800.\nAnswer: 2, 5, 17, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkokkk. What is prob of sequence kk?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**4 + 5*x**4 - 3*x**4)*(5 - 2 + 0) - 6*x**4 + x**2 + 7*x**4 - 3*x**4 as v*x**2 + k*x**4 + b*x + r*x**3 + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.8831*46\nAnswer: 40.6226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/105)\/w*w*w*w**(3\/2)\/w*(w*(w**(3\/4)*w*w)\/w*w)**(-16) assuming w is positive.\nAnswer: w**(-12281\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27299*195\nAnswer: 5323305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4843*a + 131771 + 405802 for a.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/43)\/(o*o\/(o**(-1\/24)\/o)))**8 assuming o is positive.\nAnswer: o**(-3187\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484*f**3 - 250103084*f**2 + 773049364*f - 597357220.\nAnswer: -4*(f + 516745)*(11*f - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.71996 centuries in millennia?\nAnswer: 7.471996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 3. Let a(y) = 3*y - 3. Let v(s) = 3*a(s) + 4*i(s). Let n be v(0). Calculate the greatest common divisor of n and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 113.38 and 0.2.\nAnswer: 22.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 153855, 153799, 153697, 153525, 153259, 152875?\n\"Answer: -4*p**3 + p**2 - 31*p + 153889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 73.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5\/252 (c) 297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2*4\/16). Let i = 0.08 - 0.08. Which is the third smallest value? (a) i (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 1, w: 6, q: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1602572 and 45446899.\nAnswer: 43844327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 440009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 80. Let u be (16\/50)\/(z + 34\/(-10)). Suppose -5*g + 0*g - 5 = 0. Is g > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 213751, 213773, 213795?\n\"Answer: 22*d + 213729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -a = f - 5, -4*f = a - 5*f - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -1\/10*c**6 + 1\/8*c**4 + 0*c**3 - 39*c**2 - 1\/10*c**5 + 0*c + 1\/35*c**7 + 0 + 3\/112*c**8. Find f such that y(f) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/10080 - s**6\/576 + s**5\/120 - s**4\/24 - 14*s**2. Let l(d) be the second derivative of o(d). Let l(p) = 0. Calculate p.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/13, -2\/49, -6 in descending order.\nAnswer: 8\/13, -2\/49, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 17*z + 41. Let x be u(-19). Factor -552*d + 564*d - x*d**2 + 0 - 12.\nAnswer: -3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.955 - -0.045. Let j = 0.7701 - 0.0701. Put -2, j, x in decreasing order.\nAnswer: x, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00235206 rounded to five dps?\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26465 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1717\/3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 421\nAnswer: 4\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46925 is divided by 11092.\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -45*y**2 + 522*y + 25. What is m(11)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + 0?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98612937 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - z - 140 = -153, -17 = -k - 3*z for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 28\/11 (c) 7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 17*g + 1. Determine f(10).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t - 4296. Let b(p) = -3*p - 9. Determine -5*b(m) - f(m).\nAnswer: m + 4341","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t - 110. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -267, -533, -799, -1065, -1331?\n\"Answer: -266*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 2*m = 19*a + 96, -4*a + 84 = 2*m. Solve -3*v = a*v - 46 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/2 - 11*n\/4 - 21\/4 = 0.\nAnswer: -1, 21\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3541 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 - 128 - 65*h + 34*h + 34*h - 201.\nAnswer: 3*h - 456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*f - 0. Let v be ((-2)\/5)\/(f\/(-30)). Which is bigger: 2\/9 or v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:01 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 2*v)*(36*v - 513*v - 370*v) + 13*v**2 + 3*v**2 - 6*v**2.\nAnswer: 1704*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -108*v**2 + 0*v + 255 + 7\/3*v**3. What is the second derivative of q(z) wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3 + 6. Let i = 41 + -26. Suppose h + y = i. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2, -1, -0.06, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Suppose -1 + 5 = x. Suppose 0 = -h + v + 5, -9*h + 10*h + x*v = -10. Which is the nearest to 3\/17? (a) p (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50416840?\nAnswer: 2, 5, 271, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/(l*l**3))\/l)\/l*l))\/l)**(2\/23)\/(l**(2\/21)\/l*l*l*l**(-2\/5)) assuming l is positive.\nAnswer: l**(-839\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 237*q + 15*q**2 + 246*q - 478*q. Let p(k) = -2*k**2. Give o(p(h)).\nAnswer: 60*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3041*d**3*p**4 + 105207*d**3*p + 380*p**5 + 7*p**2 wrt p.\nAnswer: -72984*d**3*p + 22800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -268 - -5?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s - 7. Let b be (-1 - 11\/s)*-7. Let w be 38\/2 - b\/6. Solve r + 3*r = -w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 5*p - 4. Let w be r(4). Let q = 1157 + -1156.5. What is the fourth biggest value in -1, q, w, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + x = 445 - 457, -4*x = -5*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b - 17. Let j be g(-3). Let r(t) = t**3 + 4*t**2 + t - 1. Let l be r(-3). Solve l = j*c + c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 41. Let j(y) = -y - 26. Let l be j(m). Solve -4*d**2 - 1\/3 - d**l + 10\/3*d**3 + 2*d = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-41.4.\nAnswer: 248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3 + 8 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -66 - -109 - (0 + -33).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = w - 29, -l - 14*w + 45 = -11*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = -23 + 69. Let b be 34\/10 - 4\/10. Suppose 0 = -k + 2*f + 60, -w*f = k + b*f - 67. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 - 3*h**2 - 3*h - 3. Let m(z) = -6*z**3 - 4*z**2 - 4*z - 4. Let t(x) = x - 7. Let n be t(3). Calculate n*p(v) + 3*m(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -148582?\nAnswer: 148561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 236176.32 to the nearest one hundred.\nAnswer: 236200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -3 (c) 9 (d) -0.08 (e) 3 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247063 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178*b**5 - 38*b**4 + 18*b**3 + 2*b**2 - 1256839*b - 5.\nAnswer: -10680*b**2 - 912*b + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20786284 - -359926?\nAnswer: -20426358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 8849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*h + 212*h + 34*h = 29*h + 16728 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 828.\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 3*k**2. Suppose 27 = 5*p + q + 7, -q = 2*p - 8. Suppose -7 - 5 = -p*m. Suppose m*s = -0*s + 6. What is g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.255 - 1.255. Suppose -4*v = -4*i + 14 + 22, 0 = 4*i + v - 41. Let b = i - 7. What is the biggest value in t, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1180)\/(-28))\/5 + 0 + -5 + -3. Which is the nearest to 0.1? (a) l (b) 52 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 4*n - 4*n)*(95*n - 52*n - 32*n)*(-3 + 3 - 1) to r*n + q*n**2 + i and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*o*q**2 - g**2*o*q + 100*g**2*q**3 + 93*g**2*q - g*o wrt q.\nAnswer: -6*g**2*o + 600*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129312465 a multiple of 2027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0 - 0. Solve 5*o = g + g - 21, j = 5*g + 2*o - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaaeeaafeeeao. Give prob of sequence fea.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.748923 nanograms in grams?\nAnswer: 0.000000001748923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 177318 divided by 3?\nAnswer: 59106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5 + 170718309*o**2 - 10184970*o - 13 wrt o?\nAnswer: 60*o**3 + 341436618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/924*(-16)\/(-520)*13\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 999\/72 + (-2)\/(-16). Suppose -3*y + p = -2*y. Let z be 4 + 2\/(-1 + -1). Solve -f = l - 4*f - y, 22 = z*l - 5*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18680 divided by -3736.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1\/1*0. Suppose x = 2*j - 6*j + 84. Suppose -11 - j = -4*w. Solve 4*h = 2*h + 3*o - w, 2*h + 12 = 5*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3642, 3617, 3554, 3435, 3242, 2957?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 224*z**2 - 224*z**2 + 3061*z**3 - 3178*z**3.\nAnswer: -117*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*u = 28, 0*u + 3 = i - u. Let b be (i - (-3 + -3))*1. Let s(v) = 2*v - 5. What are the prime factors of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8916943 not equal to 98086380\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + -14.5. Let o = w - -16. Which is the nearest to -1\/5? (a) 0 (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4985 and 0.06637586916.\nAnswer: -0.43212413084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*c*p*t - 2*c*t - 8*c - 5*p**3*t - 2*t wrt p?\nAnswer: 14*c*t - 15*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1501*7\/(-931) - 11*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1441 - -5921. Is q a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18520 - 24776 = -88*g. Calculate the remainder when g is divided by 46.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 12, 4*u = -3*j + 19 + 6. Suppose -5*a - j = -0*b - b, 2*b = -4*a + 6. Let p = 7 + b. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h - 59*h + 5*z = 3, -2*h - 3 = z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 912.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44292 - 22292. Round u to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.8 and -18.69?\nAnswer: -276.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/(((v\/v**(-2\/3))\/v)\/v*v)*(v*v**(-3))\/(v**(-4)*v))**(1\/18) assuming v is positive.\nAnswer: v**(-1\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4))**(25\/4)\/(p\/(p**(1\/4)*p*p))**(5\/6))**(1\/70) assuming p is positive.\nAnswer: p**(25\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4482 - -0.4482. Suppose 0 = -3*z + 66 - 12. Let y be (-30)\/z + (1 - -1). What is the closest to 0.08 in 4\/7, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1508)\/(-30160))\/((-1)\/(-660)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 16 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7834096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55083.967747 + 55084. What is w rounded to four dps?\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5274\/693 + 4\/(-22))\/(8\/28)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -5*u. Let v(f) = -2*f + 3*f + 4*f**3 + 1 - 3*f**3. Let d(w) = w**4 - w**3 - 2*w**2 - w. Let m(j) = u*v(j) - d(j). Solve m(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 61938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -799882, -8, 2 in ascending order.\nAnswer: -799882, -8, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 11:48 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*s - 2732 = -4164 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.599788 rounded to 0 decimal places?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56ac (base 13) in base 16?\nAnswer: -2f6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = l - 6*l + 4*n, 3*n - 5 = l. Which is bigger: l or -19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12145 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 79*f**2 + 3 - 76*f**2 + 2*f + 2*f. Let n = -7 - -5. Determine b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/27)*y**(-3\/8)\/y)\/((y**2*y)\/(y*y**(-13\/3)*y)) assuming y is positive.\nAnswer: y**(-1465\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40160 + -40662. Which is smaller: u or 29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274424 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1691, 1406, 931, 266, -589, -1634?\nAnswer: -2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-20 + 23)*4\/(-3). Suppose -w - o + 1645 = l, -5*w + 2*o - 2641 + 10838 = 0. What are the prime factors of w?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8014 - -14523. What are the prime factors of k?\nAnswer: 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) -2\/5 (d) 33\/1544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236 + -151. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10032103 to the power of 1\/2, to the nearest integer?\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c**2. Let z(f) = 27*f - 9*f - 9*f - 7*f. Give t(z(u)).\nAnswer: -56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/(-4896) + (-3)\/(-72).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37508 divided by 37508.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/276 - 36\/(-414). Let l(s) be the second derivative of s**2 + n*s**3 - 16*s + 0. Give l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*d - 16. Let j(x) = -x**2 - x + 81. Let f be j(0). Suppose 5*n = t + 131, 3*n - 4*t - f = -t. Solve -3*g - d = -k, 2*k + 3*k - g = n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4\/3 - 16*z**3\/3 - 89*z**2 + 285*z - 216 = 0 for z.\nAnswer: -8, 3\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 7 - 1 - 3*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384 by 3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 566902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 8*c**2 - 3*c + 6. Give r(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.4, 450962, 0, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/56 and -85*54\/2112 + 2.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/39, -4, 2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (8 + -3 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 38, 57, 72, 83, 90, 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 7:56 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let q(i) = 869320*i - 29355. Let g(a) = -533*a + 18. Let k(v) = 9785*g(v) + 6*q(v). Determine d(k(w)).\nAnswer: 515*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -86. Let a be i\/3 - (-16)\/3. Suppose -3*t - a*n + 13528 = 0, -2*t + 7*n - 4*n = -8987. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -14. Let v = d + -15. Factor 4 - 6*h**3 - 4 - 3*h**5 - 3*h**4 + v*h**5.\nAnswer: 3*h**3*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {u: 5, x: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35 * 26326\nAnswer: 921410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935002 divided by -467501.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4324a - 3857?\nAnswer: 3a4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2793) + 4*sqrt(2793) + sqrt(2793))\/(1*(sqrt(3) - (3*sqrt(3) - sqrt(3)))) + 1)*-4.\nAnswer: -6 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 6, -4, -20?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -915*s**6 + s**2 + 111 wrt s?\nAnswer: -109800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -19*h**2 + 4804*h. Let z(p) = -p**2. Determine y(z(t)).\nAnswer: -19*t**4 - 4804*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.44 - -0.14. Let v = 0.1 - 0. What is the second smallest value in 3\/7, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 38*r. Let d(i) be the second derivative of 0*i**5 + 0*i**2 + 0*i**4 + r*i**3 + 0 + 1\/14*i**7 - 10*i + 1\/5*i**6. Factor d(z).\nAnswer: 3*z**4*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 35*a**2 - 46*a + 16. Let y be n(34). Let q = y - -420. Calculate the remainder when 279 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13030*y + 1320*y - 17721*y + 4610*y - 2*y**2 - 5497*y.\nAnswer: -2*y**2 - 30318*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlfevbwflff. What is prob of picking 1 f and 1 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 293431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 902817 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*v. Suppose -t = -6*t + 15, j - 17 = -v*t. What is i in 3*i**4 + 8 - 1 + 27*i**j - 2 + 15*i**3 + 1 + 21*i = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -997, -7884, -26581, -62992, -123021, -212572, -337549?\nAnswer: -503856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:45 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 - 16*k**3\/3 + 10*k**2 - 10*k - 5. Let x = 44 + -29. What is the remainder when w(x) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.226 - -17.674. Round g to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -5, -4 in descending order.\nAnswer: -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2600\/416 - 1\/4 - 69. Let i(f) = -6*f - 380. What is i(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 412, 828, 1264, 1732, 2244?\n\"Answer: 2*c**3 - 2*c**2 + 408*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*r + 74, 3*m - 3*r + r - 44 = 0. Calculate the remainder when 45 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.06, -209, -4, -0.1 in decreasing order.\nAnswer: 1\/8, -0.06, -0.1, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + d**5 - 2*d + 664*d**5 - 349*d**5 + 439*d**5 + (2*d**3 - d**3 - 2*d**3)*(3*d**2 - d**2 - d**2).\nAnswer: 754*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 490532, 490522, 490508, 490490, 490468, 490442, 490412?\n\"Answer: -2*g**2 - 4*g + 490538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - 21. Let a(x) = -x + 4. Let k(m) = -6*a(m) - i(m). What is k(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*c - 37*c**5 - 41*c + 13*c**5 wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(28\/30))\/((-13770)\/(-69615))*(-2)\/(-5).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 66\/18)\/((-4)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - a**2 + 4 - 12 - a + (a - 1 + 1)*(a - 5*a + 2*a).\nAnswer: -3*a**2 - a - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (252 - 2)*(3 - (-4 + -5553)). Round x to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 93.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*k**2 - 182*k**2 + 122*k**2 - 59*k**2.\nAnswer: -401*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3 and 53\/5367?\nAnswer: 5367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 669*y - 2. Let c be i(1). List the prime factors of c - 12*4\/16.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 4) to base 14\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 40695.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 11*z**4\/4 - 4*z**3\/3 + 5*z**2 + 30*z - 11. Is o(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-107)\/(-3). Calculate the common denominator of (-102)\/30*y\/(-6) and 0 + 0 - (-106)\/(-22).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2768 times 17.5923\nAnswer: 48695.4864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 53*c**2 + 197*c + 48. Let d be i(-49). Let n = -15 - -18. Let v be -1 + 2 + (-9)\/3. Sort d, n, v in increasing order.\nAnswer: v, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (256 - 247)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 - (3 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449804.\nAnswer: 2, 139, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-1)\/(3\/(-2)). Which is the third smallest value? (a) q (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132579803*t**5 + 42*t**2 + 330941 wrt t.\nAnswer: -7954788180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213352 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k - 9. Suppose -k = -4*f + 15. Solve -14 = 5*i + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 6) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.027, -2, 0, 2\/5?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518088686*n**2 + 518088636*n**2 + 5 - 5.\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((-7 - 1) + 27 + (-21 - 3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74633816 to the nearest integer?\nAnswer: 8639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175512 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 2, c: 10}. What is prob of sequence jhj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654 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: Expand (0 + 0 + 8*f)*(3*f**4 - 2*f**4 + 2*f**4) + (2*f**5 + f**2 - f**2)*(2 - 3 - 1) - 2*f**5 + f**5 + 2*f**5 + 0*f**5 + 3*f**5 - 6*f**5.\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.27 + -3.236. Let s = k - -0.106. Let o = 3 + 0. Put -5, s, o in descending order.\nAnswer: o, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -65. Suppose n = -n - 2*n. Solve n = -2*a + 7*a + p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 times -39.7\nAnswer: 1826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 224*d**2 - 744*d - 65463. Determine z(-226).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = -63 + 238 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131439 and 3.\nAnswer: 131439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*v - j, 3*v + 2 = v + 4*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1823015348 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -335 times -0.020967\nAnswer: 7.023945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**6\/720 - k**5\/120 - k**4\/24 - 37*k**3\/6 - k**2 - 22*k. Let i(g) be the second derivative of p(g). What is i(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*z + 15, -2*z - 3*z + 4 = 3*o. Suppose 3*v + 2*v = 65. Let y = v + -9. Sort y, o, 0 in decreasing order.\nAnswer: y, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxkr when four letters picked without replacement from xrkkkkkrxxx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 569.\nAnswer: -3\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 179724716 to the power of 1\/2, to the nearest integer?\nAnswer: 13406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*q**3 + 24*q**4 + 21*q**3 + (-4*q**2 + 3*q**2 - 3*q**2)*(0 - q**2 + 0) + 6*q**4 - q**4 - 3*q**4.\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13036431 (base 7) to base 8\nAnswer: 4414261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 5. Let k be q(-5). Let n be (k - -66)*(4 - 3). Suppose -l + 4*l - n = 0. What is the least common multiple of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/8*p**4 + 0*p**3 - 9 - 2*p**2 + 0*p. Let m(b) = -12*b. Give 9*i(z) - 2*m(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 2*w + 104*w**3 + 1 + 6*w - 103*w**3 + 3*w**4 as a + g*w + i*w**4 + l*w**3 + m*w**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8045 - 7939. Solve -f = -24*z - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 9:16 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, b: 1, g: 1, p: 1, t: 1}. What is prob of sequence ptg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*-1*sqrt(66) - sqrt(66) - sqrt(66)))\/(-3*-1*sqrt(6)*1).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 + -102. Calculate the remainder when 230 is divided by a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -50\/3, 7, -41?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 11*k + 12. Determine z(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxsnwpa. What is prob of sequence sna?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + (-1024)\/48)\/((-3)\/90).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 27*m**2 + 16*m - 35. Is a(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 2*q**2 - 12*q + 6. Let k be s(-3). Put 12, -4, k in descending order.\nAnswer: 12, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 3, p: 7, o: 2, s: 4}. What is prob of picking 1 o and 1 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 34.978. Round t to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 3 - 3*y - 2*y**3 + 10*y + 2*y + 2*y**2 to f + z*y**2 + a*y**3 + w*y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 162547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0181 rounded to two dps?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -55, -63?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110420 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 60) + 3 + 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69615863*u**2 + 168*u + 29533.\nAnswer: 139231726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.5 (b) -0.09 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 7*t - 55430 + 502190. List the prime factors of t.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 22 - 6. Is 7 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4452195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13615990181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*u - 120 = 0, -5*u = -2 + 17. Suppose 3*p + 0*p + r = 0. Let w be (p\/8)\/((-6)\/8). Solve 0 = w*x + 10, -2*y - 3*x = -x + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = 3. Let s(f) be the second derivative of 1\/6*f**4 + 1\/6*f**3 + 0*f**c + 5*f + 0. Find the second derivative of s(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -50*w**2 + 28*w**2 + 23*w**2 - 11*w. Let r(j) = 2*j. Give r(s(o)).\nAnswer: 2*o**2 - 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -27. Let w = -66 + 100. What is the remainder when w is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + t = -k + 21, -2*k - 2*t - 6 = 0. Let f be (-16)\/(-6) + k\/12. Let c(m) = m**f - 7*m + m - 2 - m + 2*m. Calculate c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*y - 427 - 157, 614 = 3*g - 4*y. Calculate the remainder when (-2 + (0 - -3))\/(2\/g) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 - 3983*w + 15910. Give y(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/3 - 9406*v**3\/3 + 46996*v**2\/3 - 75176*v\/3 + 12528 = 0.\nAnswer: 1, 2, 4698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from rdrrrrrczrrdrz.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 15*u = 0. Suppose 0 = -2*g - u*g, 0 = -4*h + 2*g + 528. What is the greatest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 11, 5, 3, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165422493.\nAnswer: 3, 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (11430 - -1) + -9.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((490\/(-56))\/(-35))\/(7\/364).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(7) + 1)*-6 + 1 + (sqrt(7) + -1)**2 - (1 + (-3 + sqrt(175) + sqrt(175))**2)).\nAnswer: -707 + 52*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 1025, 1582, 2329, 3266?\nAnswer: 4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6851.\nAnswer: 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-84)\/84)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2163\/4318 - 2\/2159. What is the closest to -0.2 in 1, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/5 - 351*q**3\/5 + 1777*q**2\/5 - 1077*q\/5 - 3204\/5 = 0.\nAnswer: -356, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.1, 0.06, -5297?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 37\/2, 0.57135, 5?\nAnswer: 0.57135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 49 + 286 = 0. Let a be (1\/(-6) - 2375\/(-30))\/1. Is a > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11477 != 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -7*a**3\/3 + 17*a**2 - 4*a - 8. What is the tens digit of k(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -423542.498 to the nearest 10.\nAnswer: -423540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbibbig. What is prob of picking 1 i, 1 g, and 1 b?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b - 58*b**2 + 21*b - 9*b as o + i*b + l*b**2 and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**5*v**2 + 6711*q**5*v - 1963*q**2 + 3*q*v**2 wrt q?\nAnswer: 1080*q**2*v**2 + 402660*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/20 and 8800 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 973151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -24 - ((-4 - 3) + 6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93.5 + 0.068.\nAnswer: -93.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*p**3 + 64*p**3 - 136*p**3)*(1 + 1 - 1) + 203*p**3 - 116*p**3 - 103*p**3 as k*p + i*p**3 + l + g*p**2 and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16081 + 1396 = 0. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 90 = 5*n. Let h be (2\/(2\/(-351)))\/1. Calculate the common denominator of (-14)\/n*h\/36 and 53\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-30))\/((-10)\/3*-1). Let h = 33\/100 - j. Let u = 0.13 + -0.23. What is the closest to u in -0.3, 9, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0768 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/6 - 2*l**3 + 2*l**2 + l. Let r be p(5). Put -4, 2, r in ascending order.\nAnswer: r, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 + 10 - 12 + 7*o wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/10)\/(10\/50). Let y(n) = n**3 + 3*n**2 + 5. Let k be y(u). Suppose -12*i**4 - 3*i**3 + 4*i**2 + 3*i**3 - 4*i**k + 12*i**2 = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -26. Solve 0 = d*q + 16, 4*q + 18 - 2 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 2 = 66 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 726330 by 781.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 + -10113?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Suppose d = 2*d - 2. Which is the third smallest value? (a) j (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/27 + 5\/45\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57.932 - -0.068. Let q = -101 + l. Let p = -60 - q. Sort p, -3, 2 in ascending order.\nAnswer: p, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(32\/9) assuming p is positive.\nAnswer: p**(-32\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 241.3556s?\nAnswer: 241355600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 17 = 4*r - 4*l, 5 = r + 2*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -1, -4058, 2, 4, -5, 5.\nAnswer: -4058, -5, -1, 2, 4, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20403487 and 4708497.\nAnswer: 61210461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c - 30308 + 4*c - 368*c**4 + 30308 + 88*c**2 wrt c?\nAnswer: -8832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 242 = 2*y, -3*y - 213 = 52*v - 55*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/7 - 9704*i**2\/7 - 38768*i\/7 - 5536.\nAnswer: -4*(i + 2)**2*(i + 2422)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7127, -2, -4?\nAnswer: -7127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 3*s, 0 = -6*d + 7*d + 5*s - 20. Let o be (-2)\/(d - 3\/9). Let k = o - -2. What is the highest common divisor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21403336*c**3 - 2302891*c**2 - 12*c wrt c?\nAnswer: 128420016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 55, 48?\n\"Answer: -7*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {d: 2, r: 2, l: 1, n: 5, z: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 h when four letters picked without replacement from {h: 2, k: 2, p: 2, y: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 4*q. Let r be j(-2). Suppose 0 = -2*n - 2*v + 134, -5*n + 2*n + 180 = -r*v. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11931000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 + 5*h - 5. Let y(m) = m**3 - 2*m**2 - m - 3. Let r(a) = a**2 + 11*a + 21. Let z be r(-9). Let b be y(z). What are the prime factors of g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -383, 24, 589?\nAnswer: 1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543148493 + 0.4.\nAnswer: 543148493.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313 + 319. Let y be (-4 - q\/(-2))*21\/7. Let z(m) = -m - 2. Give z(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-4))\/(23\/(-1863)))\/(135\/90).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37877 - 37399. Calculate the remainder when 483 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.54587 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-6)\/(-4)*-4 + 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2. Suppose -4*a + 26 = -6*u, 5*a - 90*u + 88*u - 49 = 0. What is the remainder when a is divided by f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 2*i)*(0 + 5 - 4) + 30*i + 14*i - i + (-2 + 1 + 3)*(i - 4*i + 2*i) to the form y*i + o and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*g - 18 = 0, -140966*g + 140968*g + 16 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4258 + -0.1258. Which is the nearest to -0.29? (a) 2\/3 (b) 4 (c) j (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 389, 335, 271, 203?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3326\/21 - -1118\/7. Which is the fourth biggest value? (a) p (b) -8 (c) 3 (d) 0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 30\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 3*n**2 + 2*n**2)*(-2 + 2 - 2*n) + 12297 - 21*n - 6145 - 6148 - 7*n**3 + 7*n**3 + 2*n**3 - 4*n**3.\nAnswer: -4*n**3 - 21*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)*-5 - sqrt(25))*1)\/(sqrt(10)\/(sqrt(2)*3)) + -1.\nAnswer: -18*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 393*f + 949. Let c(v) = 1964*v + 4720. Let d(w) = 3*c(w) - 16*j(w). Differentiate d(y) wrt y.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52800\/9*125\/(-10)*930. What is c rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9449563112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 24 + 19. Let g be -5*94\/c*1\/(-5). Let q = g - -97. Solve -5*o + 20 = 4*z, -3*z = -z - q*o - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84371a + -666?\nAnswer: -844285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c + 66. Let d be s(8). Solve -k + d = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 37. Suppose -5*v + f - 1 = 0. Let z(t) = -14*t**2 + 3*t + 15*t**2 + v + 3 + 3*t. What is z(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 3*(0 + sqrt(1573)*1 + -3))*2)**2.\nAnswer: -11616*sqrt(13) + 228448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4 + 4955*t**3 - 4802900*t**2 + 4797940*t = 0. Calculate t.\nAnswer: -1594, 0, 1, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/5 - 2*o**4\/5 - 64*o**3\/5 - 32*o**2 = 0 for o.\nAnswer: -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 976 = -2*h, 2*p + 292 + 1177 = 3*h. Calculate the remainder when h is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40534051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1900) + 1 - (1 + sqrt(1900))*-3)**2*-6 + (sqrt(1900) + 4*sqrt(1900))*1*-2 + -2.\nAnswer: -11498 - 580*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2) + -1 + (-27)\/(-1). Suppose -2*p + u = 7. Let f(t) = t - 1. What is the remainder when p is divided by f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612, 1197, 1782, 2367, 2952?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 26, 59, 104?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/5 + 2666*i**4\/5 + 10696*i**3\/5 + 32*i**2\/5 - 42752*i\/5 - 42784\/5 = 0 for i.\nAnswer: -2, 2, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 4, a: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.28, -1, 67, 3?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 966, 3951, 8936, 15927, 24930, 35951?\nAnswer: 48996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150058, -1150065, -1150072, -1150079?\nAnswer: -1150086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*f - 79*f = -4. Let s be 8\/(-12) - f\/6 - 3. Which is the closest to 0? (a) -15 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-10)\/11*2688\/320?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-574)\/1435)\/(3\/(-18)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*f**3 + 6 - 3 + 0 + f to the form s*f**3 + a*f + y*f**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218*o**3 - 59*o**2 + 10980*o?\nAnswer: -1308*o - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240338 and 33047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -35. Let g = 10824 + -10829. Let n(a) = a**3 - 4*a**2 + 4*a + 1. Let o be n(3). Put u, g, o in decreasing order.\nAnswer: o, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Let q be 111 + -4 - (-6)\/t. Solve 13 - 3 + 228*r**2 + 6 + q*r + 190*r**3 + 50*r**4 = 0 for r.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**(-1\/16)\/(z**7\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(-173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s + 4. Let x be w(2). Solve 3*l = -5*z + x, 6*z = z - l + 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k**2)*(1 + 1 - 3) - 2 + 2 - k**2 - 2*k**2 + 0*k**2 + 3*k**2 + (-2*k + k + 2*k)*(-8 - 4*k + 8) - k**2 - 3*k**2 + 3*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (5 - 6) - 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.5, -2\/19, -0.058, 0.2 in ascending order.\nAnswer: -3\/4, -0.5, -2\/19, -0.058, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Suppose 19 - 3 = y + 3*a, y - r*a = 2. Suppose 3*d + 2*s = -0*s + y, 0 = 3*d - 2*s - 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10792 (b) -26986 (c) 1\/4 (d) 0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.271521 litres in millilitres?\nAnswer: 8271.521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 39. Let q(m) = -3*m - 2. Let g be q(-1). Suppose 6*i - 17 = g. Solve 22 = -2*a + i*z, -3*a - 4*z = -2 + u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -74*b**3 - 85*b**2 - 351*b + 440. Let f(g) = -118*g**3 - 128*g**2 - 526*g + 660. Let d(m) = 5*f(m) - 8*t(m). Suppose d(n) = 0. What is n?\nAnswer: -11, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42 + -44)*(-2)\/(-2))\/(4\/(-46))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44629 - 44504. What is the remainder when 673 is divided by m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 1\/6*j**4 + 16\/9*j**3 - 32 + 13\/3*j**2 + 4*j. Solve d(u) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.2 + -5.3. Let k = h + 82. Let i = k + -9.5000005. What is i rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -171, -443, -823?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 3}. Give prob of sequence xw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 5*s = 5*o + 25, 5*s = 5*o + 25. Let d be 2\/3 + (o - 2\/(-6)). Let x(n) = 6*n**2 - 2*n - 1. Let w be x(d). Solve -16 + 1 = -w*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(28)*2 - sqrt(28)))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/15468069 and -65\/3.\nAnswer: 15468069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -644*o**2 - 13*o + 46. Let m(h) = -h**2 - 2*h + 1. Let n(r) = 6*m(r) - u(r). Find the second derivative of n(v) wrt v.\nAnswer: 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 25.2. Let f = u + -11.61. Let b = f - -1.347. Round b to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12289992*r**4 - 32085*r**2 - 32 wrt r?\nAnswer: -294959808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 109, 225, 415, 703, 1113, 1669, 2395?\n\"Answer: 4*z**3 + z**2 + 35*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86386 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (-43 - -3 - -42).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - -3. Let k be (-1220)\/(-18) + (-4)\/6. Let w = k - m. Find the common denominator of 7\/8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1662240 and -74\/155835.\nAnswer: 4986720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -478 (b) 185 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 48401*q**2 + 585446335*q + 5272938225.\nAnswer: (q - 24205)**2*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 4*k - 2 + 3 - 7*k**2.\nAnswer: -7*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79076647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + -1.98. Let q = 11.06 - 11. Let o = q + -1.06. Which is the closest to -1? (a) 0.2 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254.614327 + -130.3857615. Let r = -385 - y. What is r rounded to 6 decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a meter in millimeters?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeqm. Give prob of picking 2 e and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 (base 7) in base 4?\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 4*l, 2*l = -0*l + 3*n - 5. Let c be (-376)\/(-10)*(-25)\/l. Let a = c + 17. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d + e15b?\nAnswer: e198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*k - 19*k + 13*k**2)*(-4*k**3 + 3*k**3 - k**3) + 10*k - 8*k - 10*k**5 + 0*k**5.\nAnswer: -36*k**5 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -910216\/3, -0.2, 0?\nAnswer: -910216\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*-6*(-5)\/10. Let g be -2 + 3*3\/i. Is (0 + g + 2)*521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*m - 5*r, -8 = -657971*m + 657972*m - 2*r for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/208 and -73\/2288?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 90880.\nAnswer: 7906560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 4*y**2 + 0*y + 0*y**3 + 1\/12*y**5 + 0 - 7\/120*y**6 + 1\/12*y**4. Factor f(o).\nAnswer: -o*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2023056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12332\/69 or 180?\nAnswer: 12332\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 9 = -a - 0*f, -5*f = -5*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15434, 5, -4 in ascending order.\nAnswer: -4, 5, 15434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 21*u + 40. Let w be m(17). What is the third smallest value in -1, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 1 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:09 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11011110?\nAnswer: -11011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 784317075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584)*1 + sqrt(1584) + (sqrt(1584) + 1 + sqrt(1584))*-3 + sqrt(1584))**2*-4.\nAnswer: -57124 - 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257\/4 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 787842462 to the power of 1\/2, to the nearest integer?\nAnswer: 28069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 q when three letters picked without replacement from {q: 3, h: 1, v: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -3 (c) 6.7 (d) 666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56300 and 5?\nAnswer: 281500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-27))\/((-1)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 146\/73 + (8\/20 - -3) + -6. Sort o, -0.961, 1\/10, 2\/9 in descending order.\nAnswer: 2\/9, 1\/10, o, -0.961","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (12 + -32) - (-742)\/28.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p + 7. Let k be y(7). Let x = k + 17. Let n be x\/((2 - -1) + -2). Put 1, n, -5 in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*l - 324 = -275*l. What is the units digit of 9\/(-2)*(-9)\/(l\/(-640))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 1. Let q(y) be the first derivative of 3*y**4 - 10*y**2 - 8*y + 14. Let f(u) = -q(u) - 16*s(u). Factor f(t).\nAnswer: -4*(t - 2)*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 906 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -161 - -153 - (3 + (7 - 1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etk when three letters picked without replacement from {e: 2, k: 1, t: 1, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 784 - 766.87. Let h = u - 0.13. Let r = h - 17.0086. What is r rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 6. Let a be x(8). Let f be (-45)\/10*a\/(-3). Suppose q - 3*q = 0. Solve f*y - 8 - 7 = q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1370434, 86, 5 in increasing order.\nAnswer: 2, 5, 86, 1370434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1116, 4, 13 in ascending order.\nAnswer: -1116, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 3*p**2 + p + 1. Let n be h(2). Calculate the greatest common factor of 42 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1431067 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5983855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 144627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, m: 2, j: 15}. Give prob of sequence zjjj.\nAnswer: 91\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 93.8, 1\/91, 0.08?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 3*r + 0*r)*(-5 + 0 + 3 + 1 - 3 + 0 + (-3 + 5 - 1)*(3 - 3 + 2) + 0 - 4 + 5)*(-r - 3*r - r) as g*r + z + t*r**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l**0\/l)\/l)*l)*l\/(l\/(l*l**(-1\/5))))\/(l*(l*l**(1\/4)*l)\/l)**(36\/5) assuming l is positive.\nAnswer: l**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 20*w = -805. Suppose 0 = 4*d - 4*u - 9708, w*d = 20*d + u + 7285. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 14 - 6. Let m(i) = 20*i + 23. What is the remainder when m(0) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-28)*1750\/(-125)*-13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 1 + 1 + 0 - 2 - 1 - 3*x + 2 - 2 - 2*x + (-2*x - 3*x + 6*x)*(-4 - 1 + 3) + x + x - x.\nAnswer: -7*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00905739 rounded to four dps?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 17*g + 12. Let o be u(9). Let j be o\/((-9)\/(-12)) - -1. Let a(r) = -r - 1. Let p be a(-2). Calculate the greatest common factor of j and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2185884 is divided by 1576.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 - 213. Let t(w) = w**2 + 3*w - 3. Let s be t(-4). Solve d = -c - s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -v + 1, 1603*v = 1604*v - 4*p - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, v: 6}. Give prob of picking 2 v and 2 q.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 279 + 414 - 13*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -26*h**2 - 11. Let y(r) = -17*r**2 - 7. Calculate -5*q(k) + 8*y(k).\nAnswer: -6*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 8}. What is prob of picking 2 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 4*z**2 + z - 1. Let s(j) = j**2 + 29*j - 913. Let h be s(19). Let v(c) = c**3 - c + 1. Give h*y(o) - v(o).\nAnswer: o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71282958511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0 - 0) + (-11)\/(-1). Let s = -3 - -14. What is the greatest common divisor of l and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34811, -1, 3, 4, -57.\nAnswer: -57, -1, 3, 4, 34811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-2\/15)*f))\/(f\/(f*f**(1\/8))))**(-18)*((((f\/(f*(f*f\/(f*f*f**(-2\/21)))\/f))\/f)\/f)\/f*f**5*f)\/(f\/(f*f**(1\/4)))**(-30) assuming f is positive.\nAnswer: f**(4097\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/19, 4\/11, -20?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.35 - -0.65. Let v = 1 - 2. What is the third smallest value in y, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) -4 (c) 0 (d) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**3 - 32*b**2 - 27*b + 58. Let y(f) = 3*f**3 - 16*f**2 - 13*f + 29. Let l(z) = -2*c(z) + 5*y(z). Is l(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36722*h - 36769*h = -2549233. What are the prime factors of h?\nAnswer: 73, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 766*i\/5 - 13524.\nAnswer: -2*(i + 138)*(i + 245)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14439 rounded to two dps?\nAnswer: -3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -785232 divided by -261744?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 + 0*n**4 + 6 - 11*n**2 + 3*n**2)*(2*n + n - n).\nAnswer: 6*n**5 - 16*n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yko when three letters picked without replacement from {w: 6, i: 1, k: 2, y: 1, o: 5, x: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1068)\/(-1958) - 194\/396.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8431 at least 2\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -33. Let j = 409.95 - 410. What is the fourth biggest value in -4\/3, 5, u, j?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*s = -241*s - 328 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23399760, 23399761, 23399762, 23399763, 23399764?\n\"Answer: m + 23399759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 23, 59, 111, 179, 263, 363?\n\"Answer: 8*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*n + 2*l - 6*l, -3*l - 1 = -4*n. Find the third derivative of -1 - 5*q**2 - 65*q + 125*q - 60*q + 261*q**n wrt q.\nAnswer: 6264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 76 - ((-40)\/(-18) + 4\/(-18)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, g: 1, c: 2, h: 1}. What is prob of sequence gchc?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -45*f**3 - 3015*f**2 - 408*f - 27328. Calculate x(-67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/(2\/(8\/2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-3)\/60)\/(657\/1752)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -684 + 728. Is 44 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844986 is divided by 500?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let j(o) = 35*o. What is j(x(n))?\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28881 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112556308 is divided by 1166.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 12*v**2 - 3*v - 2. What are the prime factors of i(-12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j + y - 19, 5*y + 7 = 3*j. Let q be (-2 - 0)\/(4\/j). Let t = 7323 + -7321. Solve -q*n + 20 = t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {v: 2, u: 1, j: 4, l: 1, p: 2, c: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000001?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -26*z + 525. What is the units digit of s(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 637397*x. Let a(j) = -287*j. Give a(l(f)).\nAnswer: -182932939*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10455, 67916, 223875, 527580, 1028279, 1775220?\nAnswer: 2817651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*o + 208*o = -201*o - 105*o + 1135 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -17*d**3\/3 - 1521*d + 1483. What is the first derivative of f(s) wrt s?\nAnswer: -34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let l be 7\/(-5) + -1 + 2. What is the closest to -2\/7 in 0, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 16 - (6 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -44*g + 46*g. Let b be 2\/2 - (6 + 0). Sort g, b, -3 in decreasing order.\nAnswer: -3, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwwu when four letters picked without replacement from wlwulllwwlwwll?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37096098 is divided by 35296.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 k when four letters picked without replacement from wkyppyppkpyywz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bb (base 14) in base 8?\nAnswer: -1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 13) to base 4\nAnswer: 10003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 393, -8, 2 in ascending order.\nAnswer: -8, 2, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -139269.32 times -16?\nAnswer: 2228309.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1956, 3901, 5846?\nAnswer: 7791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 4*l**4 - 53*l**3 + 4*l**4 + 3*l**2 in the form h*l**3 + w*l**2 + t*l + r*l**4 + s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 12 = -3*z. Let o(i) = -z + 2 + 2 - i. What is o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 2*x**2 - 15*x + 2. Give n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 - 124 + 95*l**2 - 174.\nAnswer: 95*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*i - 349, -4*d + i + 728 = 5*i. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*c = 0, -3*x + 3*c - 8 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-329468.\nAnswer: 658936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16 - (0 - (2 + -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13077, -35333, -57589?\n\"Answer: -22256*w + 9179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 1326960.\nAnswer: 1326960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0.4, -0.05, 3\/7, -28\/13, -17\/6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01217 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by -115.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {l: 2, u: 1, b: 1, m: 11, k: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, 0.04, -184?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i**2 - 968*i - 29. Let t(a) = -7*a**2 + 483*a + 16. Give 6*n(b) + 11*t(b).\nAnswer: b**2 - 495*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1006682 (b) -4 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 17*r**2 - 15640*r - 281875. Calculate s(-18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6117, 24602, 55415, 98556, 154025?\n\"Answer: 6164*g**2 - 7*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1260 - 1312. Let g = -52.16708124 + 0.16708249. Let z = f - g. What is z rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3\/4, 1, 2, 10, -1\/5 in decreasing order.\nAnswer: 10, 2, 1, 2\/7, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 + -180. Solve 0 = -4*f + 9*f - v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - (sqrt(637) - (sqrt(637)*2 + -3 + sqrt(637)))) + 5)**2 + -6*(sqrt(1573) + -2) + 2)*-6.\nAnswer: -34506 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/35)\/((-2)\/7). Solve -t*g = -3*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 550*b + 11752. Calculate z(-20).\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563806056?\nAnswer: 2, 7, 263, 174077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 - -1431.2763.\nAnswer: 1431.3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*((-10)\/6 - -3). Let a(n) = -5*n**3 - 2*n**2 + n. Is a(l) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 29 = -3*p, -4*d + 2*p + 20 = -110. Solve 8*b - 8 = -d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14667 + -14672. Which is the biggest value? (a) -3.6 (b) -0.3 (c) -9 (d) -0.5 (e) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x)**(3\/8)\/(x*(x*x*x*x**6)\/x)**(-6) assuming x is positive.\nAnswer: x**(441\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45121034 (base 6) in base 5?\nAnswer: -322114010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 + 3 + 1 + 4 + -4 + (sqrt(252)*-1 - sqrt(252)))**2*1.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272040671 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 16192?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 512 - 530 - (2 + -25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-337*g**4 - 12438*g**2 + 12438*g**2)*((3 - 3 + 2)*(g + 0*g + 0*g) + 2 - 2 - g + 4 + 6*g - 4).\nAnswer: -2359*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let l = 8 - 31\/4. Which is the nearest to o? (a) 3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544539 (base 11) in base 5?\nAnswer: 210313130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 13*l**3 + 9*l**3 + 29*l**2.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9921*x - 3323529. Calculate n(-335).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116998 and 3869291?\nAnswer: 54170074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417390.\nAnswer: 2, 5, 13, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11444 - -110201?\nAnswer: 122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3656)\/(-28334)*(-1)\/2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23.17 from -215.26.\nAnswer: -192.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -3*w + 26*m + 10, m = -5*w - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3442850 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/21)\/(4\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426354\/17 or -25081?\nAnswer: -25081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1822.99998939 - -1823. What is g rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 82*s - 79*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 14 = -2*r + 5*z, -r + 2*z = -11. Solve -3*y = r - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7881, 16252, 24623, 32994?\nAnswer: 41365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/55)\/((-4)\/(-10))*-6. Let h(q) = 0*q**2 + 0 - 2*q**2 - 4*q**3 + 2 - 1. Let f(k) = -5*k**3 - 3*k**2 + 1. Determine n*h(g) - 2*f(g).\nAnswer: -2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 3*t**5\/20 - t**4\/2 - t**3\/2 + 3*t**2 - 3*t. Find d such that h(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 14194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (435\/(-261))\/(110\/(-2904))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -348*f + 367*f - 95. Solve 2*y = f*c - 9, -3*c - 12*y + 7*y = 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*n**3 - 39*n**3 + 2*n + 5*n**2 - 2*n**2 - 1 - n**2 to r*n**2 + k*n + l*n**3 + h and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/17 - 404*o**4\/17 - 16750*o**3\/17 - 5440*o**2 + 144728*o\/17 + 12992 = 0. Calculate o.\nAnswer: -29, -8, -1, 2, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/13 + 1070*f**2\/13 - 4304*f\/13 + 4312\/13.\nAnswer: 2*(f - 2)**2*(f + 539)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*j + 86 - 80, 5*f - 2*j + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 + -253. Let y(i) = -5*i**2 + 6*i + 6. Let v(n) = -6*n**2 + 5*n + 5. Let u(l) = -5*v(l) + 4*y(l). Is u(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350783651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 - 24)) + -42 + 38\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*o + 229*o + 3*o**2 - 4*o**3 - 452*o)*((4 - 1 - 5)*(-2*o + o + 0*o) - 4*o - 2 + 2).\nAnswer: 8*o**4 - 6*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1616\/(-303))\/(4\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 6*p - 6*p + 1. Let c(m) = -4*m**2 + m - 1. Let w be c(2). Let h be 3\/(-5) - 9\/w. What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**3\/2 - 3*k**2\/2 - 13*k. Suppose 0 = -4*v + f + 1, -8 = -2*v - 3*f + 3. Let b(n) = 1. Determine v*b(a) + t(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 72.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 68 + 148. Suppose -4*w + 0 = g, -5*t - 4*w = -5. Let c be 6\/(-57) + (-8)\/(-76). Solve -t*p + p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -27*(-2)\/(-4)*(-8)\/6. Suppose -4*d + 3*d = -n - x, 2*n = -5*d + 55. Find the second derivative of -7*o - d*o**3 - 7*o - 12*o + 5*o wrt o.\nAnswer: -78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15317 (base 16) to base 7\nAnswer: 511040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**5*p))\/p)**(-50)\/((p**(-1\/9)\/p)\/(p\/(p*p\/p**9))) assuming p is positive.\nAnswer: p**(2782\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.752826605*1\nAnswer: 1.752826605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p + 1. Suppose -2*i + 4 = -2*f, -2*f - 5*i = 6 - 2. Let u be z(f). Suppose 0 = 4*y - u + 5. Solve 14 = -4*v - x, -2*x = y*v + 2*x + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 10*s - 2030. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 7*c - 276. Suppose -2*h + 0*b + c = -4*b, 2*h = b + 43. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123220?\nAnswer: 2, 5, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 17. Let u = -4.14 - y. Let x = u + 0.1409. Round x to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1643 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1734 + 1734 + 112*v to t + o*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/2)\/((-12)\/48). What is the second derivative of 36*d + 18*d - 22*d**5 - l*d wrt d?\nAnswer: -440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285333031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {i: 7, n: 6, y: 1}.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 6) in base 13?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 9) in base 2?\nAnswer: 10110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f**2 + 7*f + 2. Let m be k(4). Calculate the greatest common factor of m and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 times 1.29?\nAnswer: -1.0449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-134)\/(-18))\/((-8)\/(-24)))\/((-344)\/1032).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*n + 439 = -23*n + 583. Solve -u - t = -n, 7*t = 4*u + 12*t - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 - 17298?\nAnswer: -17297.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*b - 388*b - 190*b + 73797 = -133*b for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9*l - 8*l + 13, 0 = 5*u + 2*l - 58. What is the greatest common divisor of u and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -294 - -334. Suppose -5*q + 52 = -q. Suppose -4*l + 53 = q. What is the greatest common factor of l and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, 103 in descending order.\nAnswer: 103, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1600\/(-75))\/(-16)*6\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 51*g + 449. Give h(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2676.15865 to the nearest 10.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:09 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 = 1. Let t be 6 + -4 - 0\/y. Let s = 76 - 74. Solve -4 = -2*u - s*f, -2*u - t*f = 2*u + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -2796952?\nAnswer: -2237561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.52 at most as big as 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283 + 288. Let t(r) be the first derivative of 11*r**4\/4 - 2*r**3\/3 - 11*r**2\/2 + 3*r + 2. Is t(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 108 = 76. What is the remainder when i is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2503 divided by 14.\nAnswer: 2503\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, w: 1, u: 4}. What is prob of picking 1 w, 1 u, and 1 q?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-3 - -6) + (-16)\/5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7430, -4392, 676, 7780, 16926, 28120?\n\"Answer: n**3 + 1009*n**2 + 4*n - 8444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.32 + -231.42. Let h = t - -210. Which is the third smallest value? (a) -2 (b) 5 (c) h (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 5, 96798 in descending order.\nAnswer: 96798, 80, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 485656 (b) 0.3 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*z - 27 = 0, -3*m + 2*z = 3*z - 53. Let a(c) = 9*c**2 - 56*c - 38. Is a(m) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x**11\/x)\/x)))\/x**(5\/4))**43\/((x*x**(-3))\/(x**(1\/19)*x))**(-8\/5) assuming x is positive.\nAnswer: x**(124779\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -222*k + 3. Let d(p) = -1115*p + 17. Determine -2*d(c) + 11*v(c).\nAnswer: -212*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 11}. Give prob of sequence ww.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15955302773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - i - 96 = -92, -5*g = -4*i - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294 - -299. Let m be ((-7)\/3)\/(6\/(-18)) - g. Factor -16\/5*b - 4\/5 - 16\/5*b**3 - 4\/5*b**4 - 24\/5*b**m.\nAnswer: -4*(b + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzlj. What is prob of sequence lf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -65.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137599 - -285009. What is c rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 32.7 (c) 142\/3 (d) -4 (e) -0.5 (f) 0.1 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105735653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*d**2 + 43*d**2 + 29*d**2 - 8*d in the form b*d + y + g*d**2 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 - 183.73. Let f = j + -28.77. Let r = -28 - f. What is the closest to -1 in 0, 3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.264 + 3.3. What is t rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7934 at least 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 418907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l + 30 = 0. Let r = -5 - l. Let h be r\/(-20) - (-17)\/4. Which is the biggest value? (a) h (b) 2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 31. Suppose -g + 4 = -s - 5, r = -4*g - 20. Let f = 0.2 + -0.5. What is the smallest value in s, f, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.38999 + -0.2\nAnswer: -39.58999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 14. Let g be m(8). Suppose 14*v - g*v = 100. Suppose -d + v = 4. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-3*w + 0*w + 4*w + (3 - 3 - 3)*(-w + 2*w - 6*w))*(-2*w - w + 5*w).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 7*p**2 - 4 - p**2 + 2*p**3 - 4*p**2 to o*p + u + h*p**3 + r*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 7*l + 18. Suppose -3*w - a - l*a = -67, -60 = -3*w + 3*a. Calculate the common denominator of 1\/4*(-120)\/w and -21\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*w - 29, -2*y = -3*y + w + 19. Let u = y + -13. Solve 0 = 4*v - 4 - u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1621, -1827, -2045, -2281, -2541, -2831?\nAnswer: -3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2 + 132*t - 1620 = 0.\nAnswer: -54, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1221 and 22?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -37362604?\nAnswer: 37362604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -16. Suppose 4*f - x = 3. Let p = -36 - -40. Solve 0*g + 20 = p*g, 2*c = -f*g + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 567*v - 87*v - 4438482 + 598482. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 8 + 0*a + 4 - 13. Let l(w) = -6*w - 2. Suppose 0 = -r + 1 + 4. Let n(o) = -13*o - 4. Let g(c) = r*l(c) - 3*n(c). Calculate -3*g(d) - 5*s(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-474)\/(-1264))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 454*w**2.\nAnswer: -2*w**2*(w - 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 219 = 31*h - 688 + 103 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w = p + 367, w - 81 = 4*p. Let v be (1\/(-2))\/((45\/(-730))\/(-9)). Let i = v + w. Solve -5*y + s - 1 = i, y - s - 5 = -6*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393562000 rounded to the nearest one million?\nAnswer: -394000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5489.\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {k: 1, t: 5, j: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.71 times 26146?\nAnswer: -593775.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1127, 1\/4 in descending order.\nAnswer: 1127, 4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 43*s**4 + 86*s**4 + 6 - 6*s - 45*s**4 to a*s**2 + z*s**4 + m + f*s**3 + p*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 50082?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 0.67, -2, -4, -9\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/30)\/((-6)\/(-15))*10\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 5024*q**3 - 1546960*q**2 - 19293888*q.\nAnswer: -4*q*(q - 634)**2*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 1. Let l(o) = o. Let d(g) = -5*l(g) - s(g). Suppose 21 = -4*u + 1. What is d(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-115) - (-1380)\/3703.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48362, 96718, 145074, 193430, 241786?\nAnswer: 290142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 952 and 10788904?\nAnswer: 183411368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (-12 - -2 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x - 1. Let a be -4*x*2\/(-8). Suppose 0*o = o - y - 113, 0 = -o + a*y + 109. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -829 - -843. Let s(c) be the first derivative of -c**3\/3 + 17*c**2\/2 + 22*c + 1. Is s(l) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 - -3. Which is smaller: -0.8 or j?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/2 + 102*i**4 - 10401*i**3\/2 - 305*i**2 + 15402*i + 10404 = 0.\nAnswer: -1, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 13257*u**2 + 14639040*u + 14652300.\nAnswer: 3*(u - 2210)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/33)\/j)\/j*j*j*j**23 assuming j is positive.\nAnswer: j**(760\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 20. Let v be d(-9). Let p(l) = -l**2 - 4*l - 2. Let u be p(v). Let b be (0 - -13) + u + -3. Solve -3*j - b = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 9*d + 2*i - 10 = 0, -5*d + 4*i - 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by -8 + (-504)\/45*-5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*c - 1 = 3, -c + 2 = -2*o. Suppose 0 = -4*i - r + 16, o*i + 2*i - 2*r = 18. Suppose 3*s = -2*q + 15, 6*q = i*s + 2*q - 25. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 5*p. Suppose -3*a + 4*a = p. Let m(q) be the third derivative of -q**5\/60 - q**3\/6 + 2*q**2. Give m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 512392 - 3595682\/7. Let c = f - -182592\/143. Let t = -100921\/18018 - c. What is the common denominator of t and 7\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6399 is divided by 168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 5*w - 26. Let q be f(-6). Suppose 3*u - 456 = r + q, 5*u - 5*r = 1250. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6477.1914958 minus 7?\nAnswer: -6484.1914958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q. Let f be a(3). Calculate the highest common factor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -23*q + 18*q. Let w = -89 - q. Suppose 5*d - 19 + 4 = 0, 108 = m - w*d. What is the greatest common divisor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 4. Suppose 4 - s = 2*j. Suppose t - j = 0, a - 2*t - 4 = t. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 6*v = -35*q - 3*v + 12, -66 = -17*q + 3*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + -36 + 159 - (83 + 1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2. Let b(i) be the first derivative of i**2 + 4. Give m(b(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 10\/3*s**2 + 182*s + 0 - 7\/9*s**3 + 1\/18*s**4. Determine z so that f(z) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 5, k: 2, x: 2, q: 8}. Give prob of sequence qqqk.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 4 (c) 0.3 (d) -0.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 p when four letters picked without replacement from {p: 5, t: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j + 13. Let w(a) = -4*a - 75 + 8*a + 69. Let p(g) = -5*w(g) - 2*y(g). Determine q so that p(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/30 and 41\/1862400.\nAnswer: 1862400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 8*w = 66, -17 = 2*y + 154*w - 151*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 749610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**17*q)*q)\/q)**(-32))**(1\/18) assuming q is positive.\nAnswer: q**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176) + sqrt(275) + -5)**2*-6 + 5*sqrt(33)\/sqrt(3) + (0 + -1 + sqrt(11))**2 + (-5 + 0 + sqrt(99))**2.\nAnswer: -11168 + 753*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -47. Suppose 0 = 3*a - 7 + t. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25593\/1824 - (468\/33 + (-44)\/242)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/3 - 2122*y**4\/3 + 35182*y**3 - 1019278*y**2\/3 - 1346504*y\/3 + 754120 = 0. What is y?\nAnswer: -1109, -2, 1, 15, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 + 74\/15*y**2 + 28\/3*y + 2\/15*y**3 = 0?\nAnswer: -35, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -429, -451, -421, -321, -133?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17483870 divided by 8741935?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157719 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r - 56*r = -4, 0 = -t - r - 1. Sort 23, 4, 3, 6, t.\nAnswer: t, 3, 4, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2 - 7 + 2 - 113*h - 4.\nAnswer: -113*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 266, -3, 0.2?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 + 6 + -7 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2155 <= -2151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 16) to base 15\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11055 and 418.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -1) - -1 - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 a when three letters picked without replacement from {u: 1, t: 1, e: 1, f: 1, a: 1, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11906433?\nAnswer: 3, 7, 11, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66591 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p + 1. Let b be h(-6). Let i be (-474)\/20 - (-2)\/4. Let t = i - b. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(21\/5)*u)\/u**(2\/125) assuming u is positive.\nAnswer: u**(648\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5 + 5. Let l(j) = 31*j - j**x - 31*j. Let o(g) = -31*g. Determine o(l(f)).\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21491 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 965, 1926, 2883, 3836, 4785?\n\"Answer: -2*v**2 + 967*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 989179 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/853?\nAnswer: -4\/853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5466202 divided by 89?\nAnswer: -61418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 21026*h - 10506324.\nAnswer: -2*(h - 9987)*(h - 526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11755.\nAnswer: 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**4\/2 + 115645*h**3\/2 + 578045*h**2 + 1618390*h + 1387140 = 0?\nAnswer: -23119, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -49*j - 353. Give m(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:24 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2. Let t be l(2). Suppose -i - t = -3*i. What is the second derivative of q**3 - 3*q + q + 0*q**i wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/18)\/(1*6)*0. Solve d - 5 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 357*v - 252. What are the prime factors of r(5)?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 28*b**2 + 57*b + 6. What are the prime factors of l(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 632*o*s**5 + 48*o + 13*s**5 - 116*s wrt s?\nAnswer: 12640*o*s**3 + 260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193418750 + 404059858. Let i = q - 210641120.00000092. Let b = -12 - i. Round b to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6265 - 6265 - 1671*d to k + u*d and give u.\nAnswer: -1671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 7*l - 2*l. Let h(i) = -6*i**3 + 2*i**2 + 2*i. What is the lowest common multiple of h(-2) and l?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-40) - 1013\/(-5) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, 1\/5, -0.5, 7, -2.06, -7, 0.02?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45807, 91419, 137029, 182637, 228243?\nAnswer: 273847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 4 = 0. Suppose y = -3*y - 16. Let f = -2 - y. Calculate the greatest common divisor of f and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(-24)\/36. Let t = 4\/21 - 2\/231. Which is the smallest value? (a) 2 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115854337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272943?\nAnswer: 7, 17, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7. What is the tens digit of ((-2)\/(-4))\/(m\/34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Suppose 5*h - 68 = -3*y, 0*h + s*y = -h - 4. Suppose -50 = -d - j - 4*j, 0 = -4*j + h. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 37.41. Let s = 0.01 + q. What is the nearest to -1 in s, -0.3, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(36) + sqrt(144)\/sqrt(4)))\/(-6*sqrt(108)).\nAnswer: 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 1\/12. Let f = 61 + -551\/9. Which is the nearest to g? (a) -4 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -53. Let s(y) be the first derivative of -10*y**3\/3 + 34*y**2 - y + 349. Calculate the remainder when s(6) is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1002?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 - -111?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-2*v - 2*v + 5*v) + (-1 + 6 - 3)*(0 + 0 + 3*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5097 + -5100. Put 3\/2, d, 0.04, 1\/2, -3\/5 in descending order.\nAnswer: 3\/2, 1\/2, 0.04, -3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12*v = 490. What is the highest common divisor of 154 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 11. Let m be -3 - x\/(8\/28). Find the third derivative of -m*r**4 + 4*r**2 - r**2 - 2*r**4 wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/3 (c) -0.5 (d) 0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 divided by 2406?\nAnswer: 2221\/2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 - 3*g**2 - 2*g. Let o(f) = -5*f**3 + 10*f**3 + 29*f + 4*f**2 - 26*f. Let q be 1\/((2 - 5)\/(-3))*-4. Calculate q*s(k) - 3*o(k).\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 485*z**2 + 7154*z - 62. Calculate c(-14).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3)*(3*r**3 + 3*r**3 - 4*r**3) - r**3 + 19 - 19 + (4*r + r**2 - 4*r)*(-1 - 2*r + 1).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0 + 3, 5*m = 4*s + 25. Let d be 49\/(-28) - 45\/20. Put s, -1, -2, d in descending order.\nAnswer: -1, -2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3205 - 76*u**3 + u**3 + 3205.\nAnswer: -75*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - 2 - (1 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7391*q + 7392*q - 1 + 1.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -5*x**2\/2 + 8*x + 1. Let b be n(-8). What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70140.55ug in kilograms?\nAnswer: 0.00007014055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (350*-1)\/(-2) + -6. Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 615 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21949 is divided by 15007.\nAnswer: 6942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 142817506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20 - -28) + -32 - -76) + 11.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013813 rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z = -5*n + 247*z + 778 - 6353, n - 117 = -4*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*c - 14 = -447*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5867547 less than or equal to -5867547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6, -2*o - 208 = -4*h - 2. Let c = o + 99. Suppose 2*r = -5*q - c*q + 2, -q - 3*r = 10. Solve -q*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/8 - 59*v**3\/6 + 68*v**2. Let q be x(25). Solve -q = h + 4*m, 16 = -3*h - 0*h - 4*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*x = -8, 5*z = -5*x + 84 - 24. Suppose -z*t + 4*t = -32. Let f = -4 + t. Solve -13 = 2*d + n, 3*d - f*d - n = 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2 - 2)*(983 - 1018 - 1960 - 284 - 1685).\nAnswer: -7928*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Let o(t) be the first derivative of 6 - 6 + 3 - t**w. Let p(v) = -v**2. What is o(p(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1157 by 89.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 40 = 5*k. Solve -17 = k*h - 2*a, 3*h - 6 = a - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:22 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 27, 37?\n\"Answer: 10*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z - 5*z + 0*z)*(z + 2*z**3 - z) + (-264*z - 127*z - 9*z)*(5*z**3 - 7 + 7) to the form d*z + f*z**2 + n*z**4 + a + j*z**3 and give n.\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 678 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 - 36)*(4 - 2*y - 4).\nAnswer: 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -44 - 3) + 3 + -1325 + 1334?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*x = 250*x. Let q(s) be the second derivative of 4*s + x*s**4 + 1\/10*s**5 + 0*s**2 + 2*s**3 + 0. Find the second derivative of q(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 92?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24663*c - 5647. Is f(-54) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/13)\/(m\/m**1))**4)**(-12) assuming m is positive.\nAnswer: m**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/8, -0.5, -3672, -0.02.\nAnswer: -3672, -0.5, -1\/8, -0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -116, -254, -458, -734, -1088?\n\"Answer: -r**3 - 24*r**2 + r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368 and 3422664?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -421705*f - 843382. Calculate k(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -19*l**3 + 5*l - 16. Let w(m) = -23*m**3 + 6*m - 18. Let g(c) = 6*k(c) - 5*w(c). Calculate g(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooovvvoonvoovovo. What is prob of picking 3 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q**2 - 5. Let u(k) = 10*k**2 + 4. Let w(x) = -3*j(x) - 4*u(x). Suppose 3 + 17 = 20*f. Determine w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let l = -2510\/3 - -837. Let j be 6\/45 - (-79)\/(-30). Which is the closest to v? (a) 1 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 203 = -2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 7*i**2 + i - 6. Let f(p) = -p**3 + 20*p**2 + 7. Let w be f(20). Let n be z(w). Solve n = -3*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + 0\/6. Suppose -5*c - j*k = -5*k + 21, 0 = -2*c + k - 9. Let u = c - -17. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose 4*a - 6*a + 11 = -3*q, z = 3*a - 2*q - 19. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10*u**2 - 67184705*u + 33592350 = 0.\nAnswer: 1\/2, 6718470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36978.14 days in minutes?\nAnswer: 53248521.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -3, -1\/3, -37\/9, 1\/10, 5, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.6269?\nAnswer: 3.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1293 and 89\/8620.\nAnswer: 25860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1102*p + 232 = 1218*p. Solve p*n + 2 = -z, z - 5*n + 5 = -8*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = -c, -i - 3*c - 1 = 4*i. What is the common denominator of 31\/10 and i\/4 - (38 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -58076*d. Let f(i) = 98*i - 2. Give f(c(h)).\nAnswer: -5691448*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**2*k - 25*f**2 + f*k + 32*f wrt f.\nAnswer: 24*k - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 4*q + 41*q + 2*q + q.\nAnswer: 63*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssollohoolrosohosl. Give prob of picking 1 r and 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u\/u**7)*u)\/u)\/(u*u*u**(-1\/3)))\/(u**(-4)*u\/(u*u\/u**6)*u) assuming u is positive.\nAnswer: u**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2*(-2)\/(-8)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r + 2. Let a be i(2). Suppose 17 = w - a*c, -3*w - 2*c - 2*c - 13 = 0. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 494289.3 and 0.1123.\nAnswer: 494289.4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + -0.9. Which is the closest to 1\/2? (a) m (b) 3\/8 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (140 + -1)*(-6)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**7\/1260 - x**6\/270 + x**5\/180 - x**3\/2 + 2*x. Let u(g) be the second derivative of l(g). Factor u(t).\nAnswer: 2*t*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 5*q)*(0*q**2 - 168*q**2 + 28*q**2).\nAnswer: -280*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 - (-6)\/(-2)). Suppose h*o = 3*o + 12. Is (66\/9)\/(o\/(-6)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 11. Let c(m) = -m**2 + 9*m - 10. Let y be c(7). Let w be d(y). Calculate the remainder when (-14 + w)*50\/(-10) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(1216))**2 + sqrt(1216) + sqrt(1216) + 2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10811481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3157944 and 282?\nAnswer: 148423368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 21, 4.8, 0.4, -1\/7, 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1414 + 2892. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - ((-17 - -6) + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -576290 divided by 18590\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16890464, -16890466, -16890468?\n\"Answer: -2*l - 16890462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + 256\/(-112). Let b(m) = m**2 + 4*m + 6. Let n be b(l). Let h be 9*6\/(-45)*-5. Solve n*k = 4*z - h*z - 2, -2*z = -k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a*c*t**3 + 47*a*c*t**2 - 2*a*c + 2*a*t**3 - a*t**2 - 7*c*t**3 - 2686*c*t**2 - 19181*t**3 - 11*t**2 wrt t?\nAnswer: 54*a*c + 12*a - 42*c - 115086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -d + 19, -4*d = -4*f + 6 + 14. Suppose f = -4*y + 2*a - 12, 5*a + 34 = -4*y. Let p(w) = -w**2 - 5*w + 1. What is p(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*p - 0*v + 3*v, 3*p + 2*v - 8 = 0. Suppose -11 = p*b - 27. Calculate the remainder when 49 is divided by (b + -29)*(-4 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*r - 9, 2*s - 3 = -5*r + 5. Suppose 0*a + r*a - 3*u = 457, 879 = 4*a + u. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, r: 2, f: 1, x: 4, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 2}. Give prob of sequence df.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 347000 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 11 - 15 + 276*b + 26.\nAnswer: 276*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 10*n**2 + 0*n**2)*(-2*n**2 - n**3 + 2*n**2) + 3 - 6 + 7 - n**5.\nAnswer: 8*n**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 - 45*w**2 + 160*w - 134. Let k(c) = -21*c**3 + 180*c**2 - 648*c + 537. Let s(a) = 2*k(a) + 9*o(a). Solve s(u) = 0 for u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3) - -2 - 1. Suppose 2*l - 19 = -3*s + 6*l, -s + 2 = y*l. Solve g + g = j - 7, 0 = j + g + s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 1039*q**3 + 5174*q**2 + 4136*q.\nAnswer: q*(q + 1)*(q + 4)*(q + 1034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 1 = p - 24, 0 = -3*p - 5*m - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3077*y**2 - 3100*y**2 + 6178*y**2. Let z(g) = -31*g + 1. Let u(s) = -63*s + 2. Let w(b) = 6*u(b) - 13*z(b). What is w(p(f))?\nAnswer: 25*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1. Let x(n) = -n - 1. Suppose -5*r - 5*s - 10 = 0, -2*s = 2*s - 16. Give r*t(d) - 4*x(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*c + 25. Suppose x + c = 4*r - x, -2*x = -r. Solve r - 2 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 15*h**2 + 41*h - 31. Is r(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + (-10)\/35. Let c = 1304 + -1304. Suppose l = -0*b - b + 4*g + 23, -3*b + 3*g + 24 = c. Solve z = -b*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -47\/5, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.73 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 5, x: 4, i: 2, q: 1}. Give prob of sequence xy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**8\/1680 - d**7\/420 + d**6\/360 + d**5\/60 - d**3\/3 + 2. Let m(t) be the third derivative of o(t). Factor m(i).\nAnswer: -i*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12313488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3438 and 12600?\nAnswer: 2406600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 383, 1083, 2497, 4865, 8427, 13423, 20093?\nAnswer: 28677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626443?\nAnswer: 7, 13, 61, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let n(x) = -x. Let y be n(-8). Let v(r) = r - 10. Let o be v(y). Which is the smallest value? (a) z (b) 0.01 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/100, -1\/4, 14, -1\/8 in ascending order.\nAnswer: -1\/4, -1\/8, 1\/100, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**3*v**(-6\/7)*(v*v**(-2))**(1\/10))**(-14\/3) assuming v is positive.\nAnswer: v**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 20187388\nAnswer: 2018738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 8*c**2 + 11*c**2 - 31*c**2 + 11 to w*c + t*c**2 + d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 11 - 4)*(31*z**4 + 16*z**4 - 16*z**4) + 4*z**4 - z**4 + 0*z**4 in the form q*z + h*z**2 + w*z**4 + y + p*z**3 and give w.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 - 19 = 0. Let p be (-1 - 4\/(-16)) + (-1182)\/d. Suppose 2*w - 3*w = -p. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 142?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h + 4. Calculate f(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 6. Let s be 15\/(1 - 6) + 43. Let w = s - 22. Calculate the least common multiple of a(5) and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 157*u**2 + 10*u - 17. Let d be t(2). Let x(w) = -2*w - d + 315 + 313. Let n(j) = 3*j + 6. Let m be n(-4). What is x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33412 + 1?\nAnswer: 33413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -210*o + 442. Calculate the smallest common multiple of 246 and d(2).\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 1. Let v(w) = -4*w. Let g(d) = 2*v(d) + 3*z(d). Let x = -94 - -94. Calculate g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/55)\/(l*l\/((l\/l**(-3\/4))\/l*l)))\/((l\/l**(-1))\/(l\/(l*l*l*l*l*l**(-2\/19)))) assuming l is positive.\nAnswer: l**(-25533\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*t - 3*t + t)*(6*t**3 - t**3 - 3*t**3).\nAnswer: 2*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398 - -739. Let a = -11439 - -11470. Calculate the highest common factor of n and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b - 5*i + 286, 4*b + 3*i - 1076 = 0. Suppose 979 = 3*j - b. Suppose 3*a - j + 67 = 0. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 786\/87) + 4\/116?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from xydxzxyudyyuxd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let k(i) = -46*i - 42019. What is k(v(m))?\nAnswer: 46*m**2 - 42019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.22, -3, 2844?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2303 - 2337. Sort g, 2, -4 in descending order.\nAnswer: 2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 8 - 39 = 13. Solve q*h = 5*z + 2*h + 33, 7*z - 5*h = -45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227200403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79? (a) -37 (b) 90 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99051\/2 or 49527?\nAnswer: 99051\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = -2*a - 2*g, -2*g = -a + 89 + 132. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k**2 - 106*k + 8. Let v be n(-7). Suppose -v*i + 11*i + 4280 = 4*g, -12 = 4*i. Calculate the remainder when g is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -19*v**3 - 13*v**2 - 11*v + 9. Let a(p) = 6451*p**2 + 4 + 6443*p**2 - 12900*p**2 - 9*p**3 - 5*p. What is 13*a(d) - 6*t(d)?\nAnswer: -3*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87166 and 74.35.\nAnswer: -87091.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5426702.\nAnswer: 2, 59, 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 967668, 967667, 967666, 967665?\n\"Answer: -f + 967669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -30 + -9 + (-4 - (4 + -5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -19. Let y = u - 6. Suppose -y*i + 13 = 5. Solve -3*o + 0 = -i*r - 1, o + 2*r = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t**2 - 109*t**2 + 233*t**2.\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13979 divided by 1714?\nAnswer: 13979\/1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8*h = -9*h - 7243, 2*i = 5*h + 2888. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31422 * 274\nAnswer: 8609628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.88498 + 0.865. Let l = 1.32 + -1.3. Let q = o + l. What is q rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660 divided by -4?\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 3, h: 2, n: 1, e: 1, t: 2}. What is prob of picking 1 h and 2 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1139 and 0.46305.\nAnswer: -1138.53695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t - 144 - t**2 - 153 + 311. Let p be k(-10). Solve -9*u = -p*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 128\/160 + 114\/(-30). Put -24, y, 2, 1 in decreasing order.\nAnswer: 2, 1, y, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 3*g - 22 = 24*p, -4 = 4*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 276613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-1 - 0))*1. Let k(s) be the first derivative of -s**3 + s**2 - 44. Calculate k(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, 10 in decreasing order.\nAnswer: 23, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/28350 and 97\/38612700.\nAnswer: 38612700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 1 - 31. Let a be (-236)\/j - (-12)\/20. Let q = -19 - a. Solve -5*c + 20 = -c - q*r, -12 = 4*c + 4*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38069303?\nAnswer: 331, 115013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.13 - 43.23. Which is the nearest to g? (a) -7\/10 (b) 5 (c) 3 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 11*j - 11*j + (0*j + 4*j - 2*j)*(-4*j + 3*j + 3*j))*(2*j - 4*j + 6*j).\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**2 + 16*y - 623 with respect to y.\nAnswer: 2*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202210110 + -1?\nAnswer: -202210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528.784 + 156.9301.\nAnswer: -371.8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 258*l**3 + 5*l**2 - 7*l + 2. Let i be s(1). Let c = i + -257. What is the lowest common multiple of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 2, c: 2, s: 1, m: 1}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 10771662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 8*n. What is g(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/18 and 17\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 0.13 (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151169.\nAnswer: 5151169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**4\/2 - 10*z. Let q(f) = -2*f. Determine l(q(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.8 (b) 14 (c) -1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 15. Let u be w(-11). Suppose 3*r - u = 46. Let x(b) = -5*b + 24 + 16*b - r. Let m(p) = p**2. Determine x(m(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 4 = 0. Let f be 2*4\/(-8) + 4. Suppose 4 = f*d - j. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a**4\/2 - 20*a**3 + 53*a**2\/2 - 11*a = 0 for a.\nAnswer: 0, 1, 22\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/3)\/x))**(-5\/9) assuming x is positive.\nAnswer: x**(-25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*a + 4*a. Suppose 2*t - t = 0. Suppose t = -5*z - 12 - 13. Sort 5, z, a in descending order.\nAnswer: 5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j**2 + 21 - 5*j**2 - 10*j**2)*(20 + 3 - 4) - 2*j + 2*j - 5*j**2.\nAnswer: 14*j**2 + 399","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 26*v\/3 - 338\/3.\nAnswer: -(v + 26)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*c**2*m*q**2 + 13*c**2*m + 3*c**2*q + 11*c*m*q**2 + 3*c*m*q wrt q.\nAnswer: 64*c**2*m + 22*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 - 2*g**2 - 2*g + 2. Let x be s(-2). Let m = 262 - 285. Let b = m + x. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 3*i + 14 = 0, 3*w - 3*i - 18 = 0. Suppose 1980002 = 2*k - w*r, -4*k - r + 548571 = -3411428. Round k to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -966, -978, -990, -1002?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(6\/5)\/i*i)\/(i**(-4)*i)*(i**1)**(-39) assuming i is positive.\nAnswer: i**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.82 + 1.72. Which is bigger: 274 or c?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*s + 39*s - 25*s)*((3 + 2*s - 3)*(-3 + 2 + 0) - 2*s + 0 + 0 - 113 - 3*s + 113) in the form q*s + w + o*s**2 and give o.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.7 - 7. Let r = 1.3 + n. Let h = -2.3 - -2.7. Sort h, -0.5, r in descending order.\nAnswer: r, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 564468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 1, v: 2, g: 6, l: 3}. Give prob of sequence gvg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h. Let j be d(-2). Let z(v) = v**2 - 3*v - 17. Calculate the remainder when z(7) is divided by 7*-2*j\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15090780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/234*0 + -4. Sort -2, -6, g, 25, -5 in decreasing order.\nAnswer: 25, -2, g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*r - 199*r - 8*r**2 - 70*r - 47*r + 3*r**2 in the form g*r**2 + l + f*r and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 40*z**2 - 39*z + 27. Determine q(39).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 - 13*n - 1. Is i(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 6*h + 10, 202*h + 214*h - 24 + 1 = -5*g + 419*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2*w - w)*(-305*w**2 + 922*w**2 - 179*w**2 + 939*w**2).\nAnswer: 1377*w**3 - 1377*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3869, -16705, -38515, -69299, -109057, -157789, -215495?\n\"Answer: -4487*d**2 + 625*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48718876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*u - 14 = 2*u, -3*u = 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let n(d) = -5322*d**2 - 10*d - 1. Determine n(y(r)).\nAnswer: -5322*r**4 + 10*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 252, 374?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8362, -8366, -8372, -8380, -8390, -8402, -8416?\n\"Answer: -m**2 - m - 8360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -797 (base 10) to base 5.\nAnswer: -11142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 43*f**3.\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.7181ml in litres?\nAnswer: 0.5437181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 1497*h**2 - 109554*h + 213112.\nAnswer: (h - 68)*(h - 2)*(h + 1567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-9 - -2 - -3). Suppose -5*k = -5*m, -1 + b = m. Let s(y) = -3*y - 1. What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 3 = 15. Suppose b*j - j = -3*j. Suppose j = 5*k - 2*d - 98, -5*k + 2*d = 3*d - 86. Solve 3*s + 19 - 5 = -5*c, -s = -4*c - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*((-220 - 247 + 399)*(-3*n + 6*n - n) + (-2 - 2 + 1)*(10*n + 2*n + 8*n)).\nAnswer: 392*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158343723 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose 0 = 2*j + 6, -i*t + 16 = -3*j + 1. Let k(y) = y**3 - 5*y**2 + 8*y - 3. Let d be k(t). Sort -3, 2, d in descending order.\nAnswer: d, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103064?\nAnswer: 2, 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:18 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/162*2)\/((-9884)\/(-4236)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 22*b**2 - 3*b - 72. Calculate s(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-18)*b**(-20))**(-24\/5) assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 3. Let z(d) = 5*d - 13. Let q(h) = 98*h - 259. Let m(j) = 6*q(j) - 119*z(j). Give 2*m(a) + 5*n(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.023, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 3004720.\nAnswer: 27042480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 907 (base 11) to base 6\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1768581 millilitres in litres?\nAnswer: 0.0001768581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4003 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-255990)*-53)\/(8\/100)?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1984 + -21822\/11. Which is the biggest value? (a) 26 (b) j (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, i: 9}. Give prob of sequence ie.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83235.23l to millilitres.\nAnswer: 83235230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001215976201 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2133352 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 16*h**2 + 745*h - 4819. What is w(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8530*m**3 + 3*m**2 + 6*m - 6. Let n(d) = -84890560*d**3 - 29855*d**2 - 59710*d + 59710. What is -29855*b(s) - 3*n(s)?\nAnswer: 8530*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -66\/547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113.9 - 111.9. Which is the third smallest value? (a) 31 (b) 0 (c) 3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 2*y - 90 = 0. Is (-2)\/(6\/18717)*(9 + y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 9*k**2 + 14*k - 46. Let g(h) = -11*h - 69. Let w be g(-7). Let a be j(w). Solve a = -8*t + 7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -98*h**4\/23 + 1050662*h**3\/23 - 1093444*h**2\/23 + 42880*h\/23 = 0.\nAnswer: 0, 2\/49, 1, 10720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 185 + 85 + 93)*(4 - 2 + 0).\nAnswer: -10*v - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v**(-47))\/(v**0)**2 assuming v is positive.\nAnswer: v**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4356674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -856561 (b) 4 (c) -3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**3 + 0*m**6 - 1\/315*m**7 + 0*m**4 + 18*m**2 - 1\/504*m**8 + 0 + 0*m + 0*m**5. Let x(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1\/(-7) + (-3564)\/(-154)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 - 964*d**3 - 31484*d**2 - 262124*d + 294576 = 0. What is d?\nAnswer: -204, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325*z + 81*z**4 - 76*z**3 - 72*z**3 + 146*z**3 wrt z.\nAnswer: 972*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8497118, 8497009, 8496828, 8496575, 8496250?\nAnswer: 8495853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/574284 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 142498.\nAnswer: 7\/71249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -t + 8, -310*t + 313*t - 10 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/24 + 6\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12093 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 4*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16741 is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 1434. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (112\/2184)\/((-2494)\/(-754))\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -135*x. Let l(h) = 21*h**2. Give l(v(y)).\nAnswer: 382725*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11461 (base 7) to base 16\nAnswer: ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(3 + (1 + (-1*sqrt(13))**2 - sqrt(13))) + 1.\nAnswer: -5*sqrt(13) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00592661 rounded to 5 dps?\nAnswer: 0.00593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*o = 4*v - 64, -4*v + o = -46. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*u = -3870*u - 10560 - 13170 + 125234 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*k**2 + 1798*k - 1798*k - 72*k**2 - 21*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.07 - -0.07. Let b = 370 - 373. Sort -3\/5, h, b, 2.\nAnswer: b, h, -3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4169 + -4159. Let k = 12 - 8. Calculate the lowest common multiple of (-2 + 6)*k - 0 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32859815\/95921 + 3\/13703. Let l = h + 11493\/35. Is -13 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131 and 18388339.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*k + 18 = 0, 0 = -p - k + 4*k + 14. Let q(x) = -2*x**3 - x**2 - x. What is the units digit of q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/2655*(500\/10)\/(-10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -9, -25, -61, -123, -217, -349?\n\"Answer: -c**3 - c**2 + 8*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/56 + 3\/56. Let m(l) be the third derivative of 1\/10*l**5 + 0*l + 1\/3*l**3 + t*l**4 + 1\/60*l**6 - 5*l**2 + 0. What is i in m(i) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (2 - 2))*-20. Suppose u = 4*q - 12. Let j = -6 + q. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose l = -a + d, -2*a - 18 = l - 5*a. What is the closest to 2\/3 in -1\/5, l, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79058282 is divided by 3162331.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 16*j - 19180*j**2 - 3 + 1 - 1.\nAnswer: -19180*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 + 622 = -648*u - 298 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**8\/6720 - o**7\/1260 + o**6\/360 - o**5\/40 - o**4\/12 - 3*o. Let y(p) be the third derivative of g(p). Give y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 29 - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r. Let l(s) = s + 19. Determine l(n(g)).\nAnswer: -10*g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/10, -5, -1\/11, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 264246136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282890883 is divided by 94296957.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2. Let l(x) = 3*x + 6. Let k(f) be the third derivative of f**3\/6 - f**2. Let i(z) = 6*k(z) - l(z). Give q(i(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 5*y + k + 30, 13 = -y + 27*k - 30*k for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d - a1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 12}. What is prob of picking 1 t and 1 w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -25 + 2 + -1 - (-30 + 65 + -14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14790700 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/4*4\/5. Let y be 20*2*z\/10. Let q = 8 + 28. What is the greatest common divisor of q and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - j + 1685 = 0, 5*f - f + 2*j - 1682 = 0. Find the second derivative of 210*z + 205*z + 52*z**4 - f*z wrt z.\nAnswer: 624*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37939042 to the nearest integer?\nAnswer: 6159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15840, -31134, -46428, -61722, -77016, -92310?\n\"Answer: -15294*p - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y - 5*a = -5, 5*a = -5*y + 45. Suppose 0 = 6*n - 14*n + 80. Calculate the lowest common multiple of y and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 30*d + 12. Let b(s) = -1 - 161*s + 83*s + 79*s. Let f(n) = b(n) - u(n). What is the first derivative of f(i) wrt i?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 726, 1455, 2194, 2949, 3726, 4531, 5370?\n\"Answer: g**3 - g**2 + 725*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k)**19)**(5\/4)\/(((k\/((k\/(k\/k**2*k*k)*k)\/k))\/k*k*k\/(k*k**(-2\/21)))\/((k**5\/k*k)\/(k**2\/k))) assuming k is positive.\nAnswer: k**(-8999\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26251\/50 + 525. Find the common denominator of -33\/16 and v.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 955, 957?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + (37 - 31) + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u - 17*u = 54. Let m(n) = n**3 + 6*n**2 + 5*n. Let h be m(-5). Put h, 3, -5, u in ascending order.\nAnswer: -5, u, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldldllldll. What is prob of sequence lldl?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -21\/2*i**2 - 1 + 0*i. Let q(g) be the second derivative of g**4\/3 - 65*g. Calculate b(q(y)).\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 2*y - 2. Suppose 5*k - 23 = -i, -i + 3*i - 2 = k. What is the smallest common multiple of i and g(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (1 + -2 + sqrt(539))) + sqrt(396)*6*-6.\nAnswer: -216*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 166?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8570?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(16))\/(sqrt(32)*-5).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 8*v**2 - 9*v + 2. Suppose 2*i + 80 = 6*i. Let q = 11 - i. Let g be u(q). Solve c + g*c - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b + 108 = -5*k, 4*k + 106 - 139 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(6) + sqrt(96)) - sqrt(150)*2)\/(1*((sqrt(27) - sqrt(3)) + sqrt(3)) + (sqrt(3) - 1*sqrt(300))) + 2.\nAnswer: 5*sqrt(2)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 3*x - 35, 2*u = x + 3. Suppose w = -3*w + 12, -3*l - u*w = -33. Is 3\/7 - (-33)\/l*19 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 26580*n + 25206. Let q(b) = 4431*b + 4202. Let f(x) = 23*q(x) - 4*u(x). Differentiate f(w) wrt w.\nAnswer: -4407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Let z(v) = 56*v + 347*v - 1 - 141*v + 1102*v + 67*v. Determine c(z(h)).\nAnswer: 2862*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 1429*i + 80563 + 86525 + 13*i.\nAnswer: 3*(i - 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*d + 156*d + 12*d**3 + (3*d**3 - 3*d**3 - 2*d**3)*(-1 + 1 + 1) to the form j*d**2 + m + n*d + k*d**3 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4400639 rounded to 2 decimal places?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 752863928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 17, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/5 - 21083*w\/5 = 0?\nAnswer: 0, 21083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -26*t + 16*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*y**2 - 500*y + 397*y + 92*y**2 wrt y.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 13.078. Round u to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/110 and (4\/(-18))\/(740\/16761)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, e: 5, n: 5, h: 2, b: 1}. What is prob of picking 1 h and 1 x?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 84333727?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 328 + 11*r - 328. Let o(i) = 3*i. Determine o(n(l)).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.008, -0.1, -1, 1, 0.3 in increasing order.\nAnswer: -1, -0.1, -0.008, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(114)\/sqrt(6)*5 + sqrt(190)\/sqrt(490)).\nAnswer: -180*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 572*n - 1595. Let i(f) = 15*f - 42. Let s(k) = 77*i(k) - 2*q(k). Let r be s(4). Solve d - 5 = 0, 5*d = -r*h + h + 24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3038900 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211121 + 12212210?\nAnswer: 20201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2295\/714 - 36\/168. Solve c*o + 427 - 427 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by 86820.\nAnswer: 217\/86820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1087\/156 - 51\/104. Let g = 47\/6 + p. What is the biggest value in 3, -0.5, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -18. Let k = y + -18. Suppose -2*r - 6 = 5*f, k = 2*f - 2*r - 3. Is f not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 9*m - 10. Let r be w(10). Suppose 5*h - 8 = 3*h - 2*x, 5*h - 5*x - 60 = r. Is 9 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 66 - 3128*h + 189 - 58 in the form y + q*h and give q.\nAnswer: -3128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/8 + 2155*d**4\/8 - 1208473*d**3\/8 + 9574925*d**2\/8 - 6263481*d\/2 + 5360355\/2 = 0.\nAnswer: -2618, 2, 3, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 - n**4\/4 - n**2 + n. Let g(o) = 4*o + 6. What is the remainder when g(5) is divided by f(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*j**2 - 117*j**2 + 6*j**2.\nAnswer: -316*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (425\/(-30))\/(-17) - (-6)\/(-4). What is the third smallest value in 2\/9, o, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 i when four letters picked without replacement from {z: 2, i: 7, o: 9}.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 0 + -1*sqrt(162) + (1*sqrt(162))**2 + 2)*-6.\nAnswer: -5940 + 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 108*s**2 + 128*s + 4157. Give k(52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-118 - -61) - 61?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00633 to four decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 + 212.3. Let s = 15.3 - a. Sort -5, 2\/5, s, -1\/3 in descending order.\nAnswer: s, 2\/5, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63901362?\nAnswer: 2, 3, 7, 79, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.31 - 10655635539.\nAnswer: -10655635535.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*r - 430*r + 420 = 0. Let o = 4.041 - 0.041. What is the nearest to -2\/11 in 1, r, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-5 - 3*sqrt(8).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 44*f**3 + 16*f**2 - 176*f = 0.\nAnswer: -2, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -29. Let z be (-56)\/(-4)*1\/l. Solve -4*y - z - 9 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 294612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q + 6. Let o(z) = -2*z**2 + 49*z + 7. Let v(c) = 6*c**2 - 138*c - 21. Let y(u) = -17*o(u) - 6*v(u). What is y(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3074*r**2 - 38 - 43 + 81 + 3122*r**2.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14392726 + -4792726. Round w to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75421?\nAnswer: 199, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5257 and 161?\nAnswer: 120911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18267.1 and 246813.282.\nAnswer: 228546.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -89715.\nAnswer: -89711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 854705010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Solve r + 2*y = 5*y + 4, x = -4*r + 2*y + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 1. Let x be q(-1). Suppose x*n = -12 + 4. Let o(a) = -a + 4. Let z(d) = -d**2 + 2*d - 9. Suppose 2*w = -4*w - 30. Determine n*z(k) + w*o(k).\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 0*z = -3*z - 9, 1 = 5*n - 4*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5, u: 14}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 51. Let c = x - 14. Solve -6 = -c*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let t = -0.26 - -2.26. Let i = -2.3 + t. Which is the nearest to 2? (a) y (b) 2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c*c\/c**(-12)*c*(c**(-5)\/c)\/c*c**(-15) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 - 161. Let k = 124 - p. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 10*z + 12*z - 16, 3*z = -5*t + 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 27*s. Let m(z) = -7*z. Determine m(c(g)).\nAnswer: -189*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) - (-231)\/(-156). Let n = -42\/13 - w. Which is the closest to -0.1? (a) 4 (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.601557 rounded to one dp?\nAnswer: 49.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -175250000 rounded to the nearest 1000000?\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10 - (3 - (0 - -11))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Let r(d) = d**2 - 10. Let m be r(3). Put m, y, -3 in increasing order.\nAnswer: -3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5667 is divided by 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126113 (base 9) to base 2.\nAnswer: -10010101101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 + -195. Suppose 2*l = -4*w + 54, -2*w + 3*l + 14 = -17. What is the tens digit of (-200)\/(-14) - m\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654063778*v**3 - 77338209*v**2 wrt v?\nAnswer: -3924382668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 28. Let j be g(10). Let b(x) = -25*x**2 + 27*x**j + 5*x - 5*x. Let c(p) be the second derivative of 65*p**3\/6 + 17*p. What is c(b(y))?\nAnswer: 130*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 12*y - 9. Let f be p(-7). Solve d + 8 = -j, -2*d - 2*d = -f*j - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2 and (-10)\/(1100\/(-869))*(-1 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 50. Let f be (3 + -4)\/((-1)\/r). Suppose 2*h + h - 70 = 5*x, -3*h + 68 = -f*x. Solve -d = 3*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.39 - 1.59. Let s = -4.2 - l. What is the nearest to -9 in s, -0.4, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4992 divided by 416.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 92*g - 4\/39*g**3 - 1\/78*g**4 + 0 + 0*g**2. Suppose i(l) = 0. What is l?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, 8 in descending order.\nAnswer: 8, 5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.82 - 10.2. Let v = -1.66 + z. Round v to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 + 149148*s**3 + 24240231*s**2 + 23792772*s - 48182148 = 0?\nAnswer: -161, -2, 1, 49878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9 - -7) + -3 - -8) + -1 + -32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.73 - -0.27. What is the biggest value in -16, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 96*q**2 + 9*q - 156. What is y(48)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 828, 826, 824?\n\"Answer: -2*r + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 94 = -2*l, 0 = -2*s - 5*l + 3*l - 62. Let i = s - -101. Suppose -2*o + i = -r - 73, -o - r = -74. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = g - 2*c, 0 = -5*g - 5*c - 6 - 14. Let k(t) = 2*t**3 + 9*t**2 - 6*t. Let x be k(g). Solve -o - 5*m = -0*o - 5, -x*o - 5*m - 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 280. Let k be 2\/7 - v\/98. Let u(x) = 24*x**3 - x**2 + x. Is u(k) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/4 of a litre in millilitres?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -25141159 divided by 25141159.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3.2. Let v = x + -18.8. Let g = -15.1 - v. What is the closest to -1\/3 in 3, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t**2 + 8*t. Let d(k) be the third derivative of 3*k**5\/20 + 5*k**4\/24 + 33*k**2. What is 8*d(j) - 5*p(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/9 + 3962*a**4\/9 - 22274*a**3\/3 + 90142*a**2\/9 + 396608*a\/9 + 78560\/3 = 0.\nAnswer: -1, 4, 15, 1964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23747 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -598 - 20987.9.\nAnswer: -21585.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/5 + 74*r**2 - 746*r\/5 + 374\/5 = 0. Calculate r.\nAnswer: -187, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 116. What is the hundreds digit of (1 + h\/(-4))\/((-4)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -l, 3 = 3*b + 5*l - 2. Suppose b = -2*v + 5*u + 56, -5*v = u - 3*u - 161. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 9 + m + 9 - 31.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/3 + 1418*f**2\/3 - 1896*f = 0. What is f?\nAnswer: -1422, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/9)\/(2\/(-21)). Let c be 102\/q + (-2)\/7. Suppose 15 = -5*k, -c*k = -3*u - 2*k + 21. Solve 12 = -r - 2*m, 2*r + 3*m + u*m + 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 8*m**2 + m + 39. Let o be k(-8). Suppose 0 = h + 5*v - 2, v - 13 = 29*h - o*h. Solve -11*a + h*a = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -125 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 30*h + 116. Let l be d(0). What is the highest common factor of 52 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 277\/30 - 28\/3. Let p = 11 - 15. Let j = p - -5. Which is the nearest to 0.1? (a) j (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -4310585?\nAnswer: 21552925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 243391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 2}. Give prob of picking 1 z and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/14*(-35)\/10. Suppose 0 = 18*j - v*j + 178. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183672061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-6)\/3432)\/((-54)\/3024).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120044 - -222044. Let b(y) = y**3 - 6*y**2 - 40*y + 2. Let k be b(10). Suppose -k*g + g = t. What is g rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/20 (b) 141 (c) -0.46 (d) -64 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 858 + -857. Let t = 15 + -14.9. What is the fourth biggest value in -3, t, b, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u + 18. Let i = -3 - u. What is the third derivative of -3*k**i - k**2 + 4*k**2 - 2*k**2 + 0*k**3 wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -73055400.\nAnswer: 73055414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -181*q**2 - 176*q**2 + 359*q**2. Let i(z) = 123*z**2. Determine i(p(j)).\nAnswer: 492*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4 and 145\/7523106.\nAnswer: 15046212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 0 - (-14 + -1 + -59 + (58 - -9))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -263 + 257 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -91, -75, -63, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(3*u**3 + 0*u**3 - 5*u**3)*(72*u - 54 + 19*u - 93*u + 35*u**2).\nAnswer: -140*u**5 + 8*u**4 + 216*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54267622?\nAnswer: 2, 1033, 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -14*z + 203 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 254*w**5 + 35425*w**4\/6 + 6827*w**3 - 6041*w**2\/2 - 12526*w\/3 + 22 = 0. Calculate w.\nAnswer: -22, -1, 2\/381, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96128679*k**3 - 37093*k**2 - 582?\nAnswer: 576772074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2999\/5 + 123184\/205. What is the common denominator of s and 0 - 1 - 9\/7?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 - 1 = 0. Let n(a) = a - 1. Let m be n(3). Suppose 2*p + 3*p = 3*v - 3, 2*p - m = 2*v. Put p, 5, -1, g in increasing order.\nAnswer: p, -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*j - 3*h, 2*h + 4 = 5*j - 26. What is r in 2*r**2 - r**2 - 5*r**3 - r**4 + j*r**3 + r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66)*-2 + sqrt(66)))*4 + sqrt(66) + sqrt(66))\/(3*-1*sqrt(6)) - (-3 + sqrt(176) + -2*(sqrt(176) - (sqrt(176) + -1)))**2.\nAnswer: -201 + 110*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 2\/9 (c) 677 (d) 3\/5 (e) -24\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7306 + -7165. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 831026*z**3 + 29*z**2 + 266510*z - 197?\nAnswer: 4986156*z + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*g - 164*g = -72*g + 1962 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 2, z: 2, v: 11}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-708)\/20 + (-2)\/(-5). Let g = h + 71. What is the remainder when g is divided by 1 - (-16 - (1 + 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggpp. Give prob of sequence pgp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2 = -a, 4*a = j + a - 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Let o(v) = -2*v - 3. Let x(s) be the first derivative of 2*s**2 - 14*s - 5. Let g be x(5). Determine g*t(z) - 2*o(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 - 85*w**2 - 84*w + 2. What is m(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13965710002146+1.6\nAnswer: 13965710002147.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1623721, 1623722, 1623723, 1623724, 1623725?\nAnswer: 1623726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.6, 426, 2\/11, -2\/5, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q - q**2 + 2 - 56*q**4 - 26 + 33 wrt q?\nAnswer: -672*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 3. Let t(j) = 3*j + 5. Let k(s) = 2*t(s) + 5*v(s). Calculate the remainder when 13 is divided by k(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 - 10. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 7*b + 6. Let r be h(-7). Suppose 142 = y - 2*k, k = -3*y + r*k + 428. Suppose -5*c - y = -926. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -2. Let c = 8 + l. Let a = -3.3 + c. What is the nearest to -1\/3 in a, -2\/9, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97889611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 5.8. Let t = -3.128 - -0.128. What is the smallest value in x, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -612\/13 - 80\/13*y**2 + 426\/13*y + 2\/13*y**3.\nAnswer: 2*(y - 34)*(y - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - (151 - 145) - 1*14?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 9*s**2 + 2*s - 13. Let v be j(9). Put 22, -4, v in descending order.\nAnswer: 22, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 0, 27, 88, 195?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1312.97738 + 1335.9773756. Let m = z + -23. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -775.97239, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*n + 20988 + 88792 = 0. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(133) + sqrt(133) + (4*4*sqrt(133) - sqrt(133))))\/(sqrt(42)\/sqrt(294) + -6*sqrt(42)\/sqrt(6)).\nAnswer: -714*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135133 - -21?\nAnswer: -135112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 394 = -4*y - 9, 2*y - 172 = 2*d. What is the remainder when 49 is divided by 12\/30 - d\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6931*g - 13854*g + 1 + 1 - 3 + 6922*g. Let b(s) = -2*s**3 + 10*s**2 - 11*s - 11. What is -2*b(a) + 22*w(a)?\nAnswer: 4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*t**2 - 48306*l**3*t - 1475*l**2*t - 2*t**2 wrt l.\nAnswer: -6*t**2 - 289836*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-11 + 1 - 10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108066507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 61 + 57 = -2*n, n = -4*c - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 28*i + 29*i - 8, -6 = -5*o - 4*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) -0.3 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2152 and 44456.\nAnswer: 11958664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8c79d (base 14) to base 13\nAnswer: bc73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6317?\nAnswer: 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + m = 0, -16*a + 21*a + m = 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 4, m: 2, g: 3, e: 3, k: 1}. Give prob of sequence gn.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 8*r + 3. Let u be l(-8). Suppose -2*z - 3*z - 20 = 0, 0 = v - u*z - 15. Solve -3*c + 25 = -5*b + 4, -15 = -3*c + v*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1373, -3140, -5305, -7868, -10829?\n\"Answer: -199*x**2 - 1170*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22*5\/(9 + 1). Let s = k + 12. Let t(m) = 7*m + 2. Let q be t(s). Solve -3 = 3*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71582186, 71582184, 71582182?\n\"Answer: -2*a + 71582188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/67)*v**12*v*v)**23 assuming v is positive.\nAnswer: v**(21528\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Let p be 7 + z*(0 - 1). Suppose 4*g + g - p = 0. Solve 0 = i - g*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-50)*(-2400)\/(-48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/6 + p**2. Let z(h) = 4*h + 2. Let m be z(1). Let y(w) = -2*w - 2*w + 0*w + m*w. What is y(a(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 357*w**2 + 208*w**2 + 2*w**3 - 17 + 0*w**3 as s*w**3 + l + k*w + i*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974525 to the power of 1\/2, to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - f**2 - 3*f**2)*((8*f + 4*f - 5*f)*(-2*f - 5*f + 9*f) + 3*f**2 - 5*f**2 + 0*f**2) in the form c*f**3 + t + b*f**4 + d*f**2 + x*f and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 11 + -21 + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) -1 (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(900)*-2)\/(sqrt(1728) - -1*sqrt(1728))*5.\nAnswer: 25*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131.392 + -39.392. Sort 8, 2, 5, g in ascending order.\nAnswer: 2, 5, 8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*b - 1451*b + 69368 = 734*b + 1207*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + -3.39. Let u = 0.12 + x. Let j = 0.069976 + u. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f + 197*f = 35*f + 1128. Solve -3*x = -0*q - 3*q + f, -4*x = -q - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5\/7 - 23412*q**4\/7 - 1492222*q**3\/7 - 3402772*q**2 + 1492224*q\/7 + 23842816\/7 = 0?\nAnswer: -11642, -32, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787 = 45*z - 697 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*q + m + 332, 2*m - 312 = -4*q. Is q\/48 - (-536)\/6 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*d*f**2*l - 14*c*d*f**2 + 42*c*d*l + 5*c*d + c*f*l - c*f + 2*d wrt l?\nAnswer: 2*c*d*f**2 + 42*c*d + c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728.1 rounded to the nearest ten?\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/7 + 2998*c**3\/7 - 9012*c**2\/7 + 8*c\/7 + 12016\/7 = 0.\nAnswer: -1502, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(5\/((-5)\/3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*f - 158*f + 666 + 206 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18377\/6120 - 3\/1. Let j(p) be the third derivative of 0 + g*p**5 + 1\/18*p**3 + 1\/48*p**4 + 0*p + 5*p**2. Factor j(m).\nAnswer: (m + 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m + 34. Let w be i(-2). Suppose -h + 85 = w*h - 5*y, 4*h - 119 = y. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 216*v**2. Let c(l) = 456255*l**2 + 2. Give c(y(b)).\nAnswer: 21287033280*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10650 (base 14) to base 2\nAnswer: -1001101011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 13 - 1. Let m be 18*12\/9*j. List the prime factors of (-8)\/m - ((-694)\/(-12))\/(-1).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-20))\/((-25)\/200)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(13))*-1)**2 + -3.\nAnswer: -8*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 33*o - 3. Let b(t) = -33*t + 4. Let j(k) = 3*b(k) + 4*z(k). Let q(y) = 3*y. What is q(j(n))?\nAnswer: 99*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 5*n**2 - 6*n + 2. Calculate j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-4*sqrt(192))\/sqrt(2))\/(sqrt(88)\/(sqrt(66)\/sqrt(54))))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 8*t**2 - 31*t - 5. Calculate n(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f = 567*f - 4192 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711269282?\nAnswer: 2, 443, 802787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Suppose 3*l - 8*l + 20 = 5*p, l + 5*p - 12 = 0. Let h(k) = -1 - k**l + k**2 - k + 3*k**2 + 2*k. Calculate h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/30 + 2*b**2. Suppose 4*r = 0, -3*r - 8 + 26 = 3*m. Let w(h) = 2*h + 0*h - m*h + 2*h. What is w(c(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -18 - 20 - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 8. Let o = -81 - -71. Calculate z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = 109*u - 56*u. Suppose 2*r - 4*i - 74 = 0, -4*i = 2*r + 2*r - 88. What is the lowest common multiple of u and r?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -1587*b**4 - 6072*b**3 - 5256*b**2 + 1056*b - 48 = 0?\nAnswer: -2, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 413 - 263. What is the highest common divisor of p and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -719\/537 - -1\/179. Let g = 1 - 3. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:05 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, t: 1, f: 2, b: 3, z: 1}. Give prob of sequence tf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let j be 21\/15 + (-2)\/5. Let v be c(j). Suppose -y + v*y + 12 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*o - 1385 = 3*o, -4*j = 5*o + 1072. Let a = j + 412. What are the prime factors of a?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346885 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 25\/144*a**4 + 0*a**3 + 1\/36*a**5 + 12*a**2 + 1\/720*a**6 + 0*a + 0. Factor b(m).\nAnswer: m*(m + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7782914 is divided by 1833.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4203 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3*f + 22 - 12)*(-1 - 2*f**4 + 1).\nAnswer: 6*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*l**2*q**2 - 134*l**2 - l*q**2 + 3*l*q + 1157*q**2 wrt l?\nAnswer: 372*q**2 - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 162259620.\nAnswer: 162259620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20095 is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - x - 31, -x - 115 = -4*u. Calculate the lowest common multiple of 75 - 55 - (-5 - -3) and u.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-514)\/(-12) - 9\/(-54). Suppose 2*b + 0*b = -q + t, 4*q = -2*b + 142. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39838 - -39832. Let c(w) = -8*w - 4. Let a(j) = 9*j + 5. Let m = -2 + 4. Suppose -10 = 4*q + y + 10, m*q + 4*y = -10. What is d*c(o) + q*a(o)?\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8273393797 + -8275301873.99948. Let g = y - -1908109. Let b = 32 - g. Round b to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.9 - -1.9. Let m = -25 - w. Let x = -69 + 69.11. What is the closest to x in 5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29008 - 11?\nAnswer: -29019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 5) + -173 + 179?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43404 and -0.1.\nAnswer: 4340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x + 12. Let h = -29 - -17. Let y be (0 + h)*6\/8. Let s be n(y). Solve -1 + 4 = -s*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -88, -92, -88, -70?\n\"Answer: g**3 - 5*g**2 + 2*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = -5*i + 3*o, -5*o = -5. Suppose 218 = i*j - 412. Is ((-8)\/(-3))\/(8\/12) + j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*q**3 - q**3 - 26*q**3.\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, -5, -3, 4, -4 in descending order.\nAnswer: 4, -3, -4, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, j: 13}. What is prob of picking 2 d and 2 j?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = 12, -2*t + 532 = 3*o. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 - 3 = 0. Let d be 2\/q + 3\/9. Let v(u) be the second derivative of u**5\/20 + u**3\/6 - u**2\/2 + 30*u. What is v(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11128 and 4066?\nAnswer: 211432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/11 + 8*x**3\/11 + 6*x**2\/11 - 36*x\/11 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*10\/6*(-52)\/((-4940)\/133)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 6)*(g + g - g + (0*g + 0*g - 2*g)*(6 + 0 - 4) + 7*g - 88*g - 259*g).\nAnswer: -2401*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15029798, -30059609, -45089420, -60119231, -75149042, -90178853?\n\"Answer: -15029811*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1414*i + 6. Let s(p) = -6786*p - 30. Let o(r) = 24*k(r) + 5*s(r). Let v(l) = -3*l**2 + 2*l**2 + l - l. What is v(o(a))?\nAnswer: -36*a**2 + 72*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1836553 = 1836544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -u + 262, -84 = 40*g - 41*g - u. Let x(p) = 4*p**2 + 7*p - 12. Calculate the remainder when g is divided by x(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -211\/5. Let z be 2 + (-2 - (-6)\/(-21)). Which is the closest to -1? (a) t (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4843, -9676, -14509, -19342, -24175?\n\"Answer: -4833*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234*x**3 + 174*x**3 + 536*x**3.\nAnswer: 1944*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose -r*o = -4*m - 21, 3*m - m + 3*o = -5. What is the remainder when 0 + -14*18\/m is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmj when three letters picked without replacement from cjjkfjcccjqmjff?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/15))**(-44)\/(f**(-2))**(1\/3) assuming f is positive.\nAnswer: f**(-166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:07 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqeeqqq?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooonoooono. What is prob of picking 2 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*d**2 + 5*d**3 + 12*d**2 + (0*d + 3*d + 0*d)*(-4*d**2 - d + d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021001 + 31?\nAnswer: -1020310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.01207ml to litres.\nAnswer: 0.00301207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w - 2. Let b be y(1). Calculate the greatest common factor of 45 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -7)\/((-4)\/(-10)). Let l = x + -7. Let y = -87 - -90. Solve -19 = -m + 4*g, -y*g = 3*m + l - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 30 + 94 + (-3 - (1 - (7 + -6))).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7052 is divided by 534?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msgx when four letters picked without replacement from pssgmgsppgxjj?\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/644)\/(8\/(-42)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-26)*((-96)\/(-64))\/((-3)\/5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 200*r**2 - 28*r + 89. What are the prime factors of q(3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30477445.\nAnswer: 5, 6095489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 105.87. Let a = -0.23 + f. What is the second biggest value in -5, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-119)\/(-51)*8\/56. Factor -2\/3*d - 5 + x*d**2.\nAnswer: (d - 5)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let u(v) = 806 - 806 + 83*v. Calculate u(s(b)).\nAnswer: -166*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.232 + -0.768. What is the nearest to 0 in 2\/5, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13680 = -14*r. Calculate the common denominator of r\/(-56880) - (-6)\/27 and -47\/10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 50. Put -4, -2, y in decreasing order.\nAnswer: -2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 2*c**5 + 6*c**5 + (2*c - 2*c**4 - 2*c)*(5*c - 4*c + 4*c).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003088517 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 2 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12972 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*c + c - 28, 2*p - 22 = -5*c. Suppose -4*u + 3*u + c = 0. Suppose -27 = -3*o - 3*g, 0 = -u*o + 3*o + 3*g + 9. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304 and 285.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(756)\/(sqrt(24)\/sqrt(2)) - sqrt(2268)*-1) - (3 + (sqrt(1008) - (sqrt(1008) - (-2 + 2*sqrt(1008)))) + (sqrt(1008) - (sqrt(1008) + 0 + 5)))**2.\nAnswer: -4048 + 129*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113485 divided by 5?\nAnswer: -22697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8 + 10*o - 15*o + 16*o - 4 + 3. Let u(p) = -5*p + 5. Give 2*i(q) + 5*u(q).\nAnswer: -3*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-22)\/23 - -1). Let c = a - -19. Suppose 9*s - 11*s = -c. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43737796 and 1244?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 848. Suppose 3*r + 2*q - 254 = 0, 5*r = -q - 2*q + u. What are the prime factors of r?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 145.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2835\/4 - -170101\/240. Let l(h) be the third derivative of 0*h - 9*h**2 - u*h**6 + 1\/120*h**5 + 1\/6*h**4 + 0 - h**3. Let l(g) = 0. Calculate g.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/188 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826509119.\nAnswer: 41, 67, 300877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-26)\/(o\/((o\/(o\/(o*o**(-21)*o*o)))\/o)))\/(o*o*o*o**(-10)*o\/(o\/((o**(2\/45)*o)\/o))) assuming o is positive.\nAnswer: o**(-1757\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*n + 20, -72*n = 5*g - 73*n + 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4 + 22*d**3\/5 + 3*d**2\/5 - 22*d\/5 - 8\/5 = 0.\nAnswer: -4, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1450 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*f = -146*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53529*a**2*z**3 - 3*a*z**3 - 3*a*z + 704*z**3 + z wrt a?\nAnswer: -107058*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) - (-2*sqrt(91) + sqrt(91) + sqrt(91)) - sqrt(91))*-3)\/sqrt(7)*1 + (1*sqrt(117) - sqrt(13))**2 + 3 + 4.\nAnswer: sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 20)\/((-1)\/1200). Round h to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (4 - 4)) + 2 - (-702 + 687).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + 0 + 6 + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-3 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 3*s - 1. Let v(c) = -c**2 - c + 1. Calculate -2*g(d) - 5*v(d).\nAnswer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57180604 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(363)*-5*6 + 2 + sqrt(363) + -4 + 2)*2 + 2)**2.\nAnswer: 5104*sqrt(3) + 4884532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(-1)\/(j*j**5*j*j*j**(-6\/11)) assuming j is positive.\nAnswer: j**(-317\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40403 divided by -3673.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820531849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3177*h**2 - 3022*h**2 + 1308*h**2 - 543*h**2.\nAnswer: -5434*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 852 + 870 = 0. Let d be (-2)\/6 + 10\/3. Suppose 25 = d*m + y, 2*m - 1 = b*m + 5*y. Calculate the remainder when 44 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2230229017 to the nearest integer?\nAnswer: 47225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. Calculate the lowest common multiple of 16 and 2*r*24\/18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**8\/168 + 2*g**7\/105 + 120*g**2 + 2*g. Factor w(j).\nAnswer: 2*j**4*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 708 or 925573?\nAnswer: 925573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.2. Let n = 1\/12 - 41\/60. Suppose -3*t - 2*j = 5, -4*t - 1 = -t - 2*j. Sort i, n, t.\nAnswer: t, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41879\/11 + -3810. Suppose -3*u - 6 + 18 = 0. What is the common denominator of s and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 3 (c) 1528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 72. Let d = -3 - f. Let w = -28 - d. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -3 (c) -0.05 (d) -1\/6 (e) -43 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/5188922?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) - 6*(1 + sqrt(2) + sqrt(2))) + 4.\nAnswer: -66*sqrt(2) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evq when three letters picked without replacement from erevrvqvrer?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + -1.59. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1\/49 (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Suppose 11*i - 7*i - 345 = a, -2*i + 165 = a. Let g(r) = -i*r**2 - 84*r**2 + 16*r**2 + 30*r**2. Calculate g(o(z)).\nAnswer: -123*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:16 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40858?\nAnswer: 2, 31, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -29*d**3 + 2*d**2 - 1. Let h be s(1). Let q = h + 45. Suppose q*g - 16*g = 116. What is g rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20)\/(i\/i**(-1\/11)) assuming i is positive.\nAnswer: i**(-232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from lcckcclklck.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42110, 84233, 126354, 168473, 210590, 252705, 294818?\nAnswer: 336929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88146 + -88142. Determine g so that -37\/2*g**2 + 12*g - 2 + 21\/2*g**3 - 2*g**k = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1986*f - 1931*f - 154 - 146 + 608 - 154 - 154.\nAnswer: 55*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 23. Let x(s) be the first derivative of -s**4\/4 - 2*s**3 - 7*s**2\/2 - s - 2. Determine x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9))**(-2\/93) assuming q is positive.\nAnswer: q**(6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*8\/12. Let x = 3 + z. Let t = 5 - x. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4433c9 + 5?\nAnswer: 4433d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -873?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 886, 954, 1034, 1132, 1254?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-9))\/(2\/(-6)). Let v = -8 - k. Let s = -1 - v. Let x(w) = w. What is x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101404921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 854, -2, 5 in increasing order.\nAnswer: -2, 5, 47, 854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/12)\/(m\/m**(1\/23)))**(-8\/5))**(-2\/5) assuming m is positive.\nAnswer: m**(-964\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - m + 7 = 0, d + 2 = -2*m + 6. Let r(w) = -w - w**2 + 29 - 58 + 29. What is r(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qjxjqqbbqxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 7*d + 3 = -5*t, -t = -3*d + 5. Let k = 50 + -53. Put d, k, -7, 3\/7 in decreasing order.\nAnswer: d, 3\/7, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-390)\/75)\/(-13)*1\/((-3)\/105)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btijststijjqitbiiib. What is prob of picking 1 t, 1 q, 1 i, and 1 b?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6622670, 6622669, 6622668, 6622667, 6622666, 6622665?\nAnswer: 6622664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 8*c + 4. Let g be l(8). Let w = -2 - -9. Suppose -5*z + 13 = -w. Solve -g*j = -4*m + m + 23, 2*j = -z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-2)\/2 - -9. Solve 0*k + z = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 67 = c - y, -373 = -5*c + 4*y. Suppose 82 = 4*d + 2*l, -69 = -3*d + l + 5. Let a = c - d. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**2 + 12*f**2 + 14*f**2 + 10*f**3 - 44*f**2 + 6*f**3.\nAnswer: 16*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5107.\nAnswer: 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/3 + (94\/6 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13896571 divided by 481?\nAnswer: 28891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 9*q = -8. Solve -q*s + 5 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:15 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -61. What is the first derivative of -2 - f*r**4 - 42*r**4 + 0 + 75*r**4 wrt r?\nAnswer: -76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/6)\/(1\/(-3)). Suppose -2*d - 35 = -a*d. Let h(g) = -g + 1. Let f(v) = 5*v - 7. Let m(u) = f(u) + 4*h(u). Give m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 119*f**3 - 2*f + 0*f + 2*f**2.\nAnswer: -119*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/260 and -109\/5385484?\nAnswer: 26927420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9637 = -y - 3*t - 9640, -3*y = 5*t - 3 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18853, -75162, -169007, -300388?\nAnswer: -469305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578 + -570. Which is the closest to f? (a) 2\/5 (b) 2\/19 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 52675?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96)*3*-4)\/(sqrt(18)\/((2*sqrt(12))\/sqrt(2))*-6).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -451 - -859. Let p = h - 266. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-67312)\/43272)\/(19\/(-9) + 1) - (-17)\/(-12)\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 187821*f - 187821*f - 7*f**2 + 28.\nAnswer: -7*f**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 11. Let u be o(13). Solve -u*g - 3*t = 0, 0*g - 4*t = -2*g - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a52 - 13?\nAnswer: -3a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -5. Let n = r + -11. Is n greater than or equal to 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 126*k + 2310. Determine t(-142).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 39. Let c(u) = u**3 + 8*u**2 + u + 8. Let l be c(-8). What is the remainder when d(l) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u**4 - 13 - 9*u + 32 - 2*u**2 + 15 - 35 in the form m*u + q + t*u**4 + z*u**2 + w*u**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 839*c - 2*c**2 - 5*c**2 + 4*c**2 - 16 + 20 - 842*c. Give s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -58\nAnswer: -16\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-10\/9)\/(y\/y**(4\/9)*y*y\/(y\/(y\/(y\/(y**(-5)\/y))*y))))**6 assuming y is positive.\nAnswer: y**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o + 4. Let t be f(4). Suppose 15 + 13 = 4*n - 4*r, 4*r + 8 = t. Solve -x = w - 4, -2*w = n*x + 2*w - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/(-252))\/((-2)\/21)*128. Suppose -4*s + g = 4*s. Calculate the least common multiple of s and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + d + 1. Let z = 8 + -4. Give n(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 98. Let n = -8 - g. Let m = 58.89 + n. What is m rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by 6?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121021001010201 + -20?\nAnswer: -121021001010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.396 (b) -2\/43 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*d)*(-5*d + 3*d + 0*d)*(2*d + 4*d - 4*d)*(-2 - 3 + 2 + (6 + 7 - 5)*(-1 + 0 + 3) - 4 - 2 + 3) as c*d**2 + u + q*d**3 + r*d and give q.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.959 + -0.059. Let g = z + -10.94. Let f = g - -0.04. Which is the nearest to -2? (a) 2\/13 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u**2 - 26*u - 169. Let z(g) = g**2. Let a(i) = -4*w(i) + 44*z(i). Factor a(f).\nAnswer: 4*(f + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358091 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + 1b74a?\nAnswer: 1b770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.3, 4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -21. Find the third derivative of 4*m**6 + 10*m**2 + 0*m**h - 5*m**6 - 4*m**6 wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:18 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p + 96*p - 483188. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/18 + (157480\/12)\/(-5). What is the common denominator of 17\/24 and ((-5)\/70)\/(18\/w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 81119, 4, -0.1, -5, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1108*n**2 - 2*n + 2*n + 1472*n**2 - 568*n**2)*(0 - 2 + 4)*(-2*n**2 + n**2 + 2*n**2).\nAnswer: 4024*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 - 1755\/7. Let h = 37 - 261\/7. Which is the fourth biggest value? (a) t (b) h (c) 5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 34189*k - 3 - 34190*k + 5. Suppose 2*m = m - 2. Let o = 5 + m. Give q(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:57 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(187)*-2)\/(-4*2*sqrt(11)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-561) - 48\/(-340))\/(-2 + 364\/180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26444 minus 2386936?\nAnswer: -2360492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {j: 1, d: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = k. Let s be -3*(4 - 5) + -3. Solve -7*c + k*c - 8 = s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2 + 2)*(1006*p - 15 + 287*p + 15 + 37*p).\nAnswer: 2660*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7465*b = 7466*b - 3 - 0. Suppose -4*x + 64 = 4*o, 5*x = -o + 34 + 26. Put x, -1, -2, b in decreasing order.\nAnswer: x, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 24*c**2 - 10 - 6.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, 260, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**4\/2 - n**3 + n**2 - 3*n + 103. Give q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -9*o - 70. Suppose 6 = -2*h + 2*g, -g = -3*g + o. Solve 0 = 4*y - 6*y - h*f + 2, 2*y - 2*f = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530809943 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z - 3*z = 5*z - 44408. What is the lowest common multiple of z and 244?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331111001 (base 4) to base 7.\nAnswer: 4235430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -q - 73, -17 = -p + 2*q. Calculate the smallest common multiple of p and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 120?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 15, -9 in ascending order.\nAnswer: -9, -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((-1442)\/(-14) - 18). Calculate the greatest common factor of 15980 and c.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 5. Let u be w(8). Let v = -41 + 29. Is u smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = -75. Suppose 0 = -3*r, -2*y - 3*r + 5 = -7. What is the highest common divisor of y and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4073\/11945 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -4, 120, -1202 in increasing order.\nAnswer: -1202, -6, -5, -4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 7, x: 6}. What is prob of sequence xuuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 4*l**2 + 5*l**2 + 6*l**2 to the form g*l + d*l**2 + w and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:38 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5, 0, -10 in ascending order.\nAnswer: -10, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -0.068 (b) -2 (c) -2\/7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 12) to base 5.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*x**2 - 38*x**2 - 29*x**3 - 23*x**2 + 78*x**3 + x**4 + 0*x**4 in the form t*x**2 + s*x + d*x**3 + q*x**4 + p and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/80 (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 155\/2, -4\/3, -131, -3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-15) + (-18)\/24*-4. Is u < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21561795 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*g - 166*g + 663*g + 59*g**2 - 2 - 164*g - 171*g to q*g**2 + z + c*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -893775, -893772, -893769?\n\"Answer: 3*s - 893778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2567354 millilitres to litres.\nAnswer: 0.0002567354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -190*h + 189*h - 3. What is the closest to -2\/7 in h, 0.2, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/4101 + 32786\/45111. Let c be ((-10)\/(-33))\/(2\/6). Solve 24\/11*m + c*m**2 + f = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000423998 rounded to 6 dps?\nAnswer: -0.000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - 5*y - y)*(5 + 0*y - 7 + 5*y) + 0*y**2 - 5*y**2 + 4*y**2 as g + u*y**2 + b*y and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 5ce1?\nAnswer: -5cdf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16883605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 1. Let l be (4 + -3)*(b - 1). Solve l = -w - 3 + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -43\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-8)\/(-48)). Suppose 4*j = 5*l + 65, -2*l - 2 = -2*j + 26. Let q = l - -33. Calculate the greatest common factor of v and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 0 + sqrt(1008) + 3 + 5 + 3.\nAnswer: 11 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/260)\/((270\/105)\/(-18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190234 is divided by 63339.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-35))\/(6\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*j**3 + 4545 - 4543 + 2*j + 6*j**3 - j**2 to the form l*j + o*j**2 + n + x*j**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/g*g)\/g**(2\/3)*g**(2\/15)*g**(-1\/11) assuming g is positive.\nAnswer: g**(-268\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2214*h**3*k**2 - 130459314*h**3 + 5220*k**2 wrt k.\nAnswer: 4428*h**3*k + 10440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 29 = -2*d, -4*d - 56 = 3*y + 7. Let z be (-522)\/d*7\/6. Let g = 50 - z. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -724790 at most as big as -724789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810576 and 8646144.\nAnswer: 25938432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 301.69 - 301.59. Let j = 23756\/15 + -1583. Let w = j + -152\/105. Is w bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 - 6 = 0, -3*v + 3*i = -1374. List the prime factors of v.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19362.17801 rounded to the nearest one hundred?\nAnswer: -19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 65271*k + 3. Let p(y) = -70*y. Give i(p(t)).\nAnswer: -4568970*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 0*v + 0*v + (-171 + 356 + 173)*(1 - 1 - v)*(4*v - 3*v + 4*v).\nAnswer: -1791*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2287*m**3 - 12*m**2 - 7*m + 4. Let w(b) = -18297*b**3 - 99*b**2 - 57*b + 33. Give -33*t(n) + 4*w(n).\nAnswer: 2283*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v**3 + v**2 + v - 1. Let p be 3\/(-5) + 90\/25. Suppose 3*i + p = 6*i. Calculate n(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2453, -19511, -65627, -155273, -302921, -523043, -830111?\nAnswer: -1238597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96045 divided by -5?\nAnswer: -19209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1481*i = -275*i + 75978 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + (-522)\/(-8). Suppose -16 + 1 = -5*z, 5*c - q = 5*z. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(2299) - (1 + sqrt(2299))) + 0 + 5 + 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -2.02. Let q = c - 1.5. Let k = 1091 + -1090.7. What is the nearest to 0.1 in q, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -110030110 (base 4) to base 5\nAnswer: -10121313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.56971 grams to milligrams.\nAnswer: 68569.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2841 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from {s: 1, r: 1, k: 2, w: 2, q: 6, l: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 313343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k + 52. Let y be d(21). Suppose -y - 2332 = -17*p. What is the highest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 3 = 35*u. Solve 4*f + 4 - 1 = u*p, -5*p + 25 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913211613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3190.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.87 - -0.37. What is the closest to -2 in s, 0.5, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -9 (b) -2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-100)\/12))\/((-531)\/(-23895))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742272268 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-14856 - 39648*a + 29699 - 14843) as v + t*a and give t.\nAnswer: -39648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 63 = 57. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 6607198*t + 13214392.\nAnswer: (t + 2)*(t + 6607196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/12 - ((-8)\/12 - -1). Suppose -j = 5*x - 5*d + 2, -5*x = -3*d + 5. What is the lowest common multiple of 506\/(-10)*x + 54\/135 and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 14 - 32. Let l(j) be the first derivative of 7\/3*j**3 + 0*j + 7\/4*j**4 - x + 0*j**2. Find the third derivative of l(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from sqqsiqyteseyqes.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w - 17. Let l(h) = -19285 + 38578 - 19258 + 15*h. Determine -13*f(b) - 6*l(b).\nAnswer: b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263150 by 52630.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021 and 558.\nAnswer: 11.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -1\/5, -1509, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + -8)*-2*(-239)\/4. Suppose -p + 257 = 5*y, 4*p - 5*y - 789 = w. What are the prime factors of p?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10787 + -9958.7. Let m = -757 + c. Round m to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1568?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 138, 379, 750, 1269, 1954, 2823, 3894?\nAnswer: 5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 - 275*u**2 + 791*u + 182. Give j(3).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/((-1)\/(-9)). Let j be 4*(4 - h) + -3. Suppose -31 = 10*v - j. Which is the smallest value? (a) -2 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 0 + 2*sqrt(32) + sqrt(2) + (sqrt(16) - (-2*sqrt(256) - sqrt(256)))\/(-3*-1*sqrt(8)).\nAnswer: 46*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1255215 - 2113?\nAnswer: 1253102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r - 11*r + 0*r**2 + 3*r - 24. Let l be a(9). Solve 0 = -3*g - 0*g - 5*j, -j - l = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g**5\/2 - 687*g**4\/4 - 765*g**3\/4 + 405*g**2\/2 + 165*g + 18 = 0. Calculate g.\nAnswer: -6, -2, -1\/2, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 25*x + 1. Suppose -3*z + 57 = -3*w, 381 = 3*w + 399. What is the remainder when f(2) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 5\/4*l**5 + 35*l - 10\/3*l**3 + 0 - 5\/42*l**7 + 0*l**2 - 1\/2*l**6 + 5\/4*l**4. Determine m so that u(m) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1396*z**3 + 779*z**3 - 7*z - 26*z**2 - 37*z**3 wrt z.\nAnswer: -3924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -197 + -6?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i + 1. Let n be a(-1). Let u = 21 - n. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4972749 or -4972839?\nAnswer: -4972839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 911 = -2*v, 24*w - 604 = 22*w + 3*v. What are the prime factors of w?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 0*n + 0*n)*(n**3 - 8 + 8 - 2*n**2).\nAnswer: 4*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 389, 869, 1541, 2405, 3461?\nAnswer: 4709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 511252.6nm in meters?\nAnswer: 0.0005112526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u**36\/u*u))\/u*u)\/(u*u\/(u*u**4\/u*u)))\/(u*u**15\/u*u*u*u**8) assuming u is positive.\nAnswer: u**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a - 81. Let i be k(29). Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14745 + 21182. Let a = 64317\/10 - w. Find the common denominator of -23\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/3 - 82\/15. What is the biggest value in 3, -2\/5, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:08 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37537?\nAnswer: 37537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 44 - 8*g**3 + (g**2 - g**2 + g**2)*(4*g + 3*g - 6*g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-36)*z)\/z)\/z**(-2\/13) assuming z is positive.\nAnswer: z**(-466\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-132)\/(-4))*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q**3 + 8*q**2 - 3*q. Let s(n) = -10*n**3 - 5*n**2 + 2*n. Let d be (-24)\/((-36)\/(-6)) - (-36 - -27). Give d*h(g) + 8*s(g).\nAnswer: -5*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.177 - 0.223. What is the second biggest value in a, 0.3, 29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*h - 10812481, -2 = -k - 1. Let m = -3862496 + h. What is m rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**4\/4 - 11*g**3\/3 + 8*g**2 - 28*g + 29. What are the prime factors of x(13)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 - 77. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3591 + 3588.841. What is x rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.305 - -0.125. Let y = n + 5.18. Which is the third biggest value? (a) -45 (b) y (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 9*i - 10. Let r be l(7). Suppose -20 = r*d, t + d + 2 = -0*t. Solve 5*b - 10 = 2*n, -3 - 8 = -t*n + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*1\/2*(-157)\/((-79128)\/(-96)). What is the third biggest value in 10, y, 0.4, -36?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/217*(8316\/(-11))\/(-36).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5346 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 2. Let x(k) = 24*k**2 - 3*k + 6. Calculate 6*p(s) - 2*x(s).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15407*l**2 + 15829*l - 422.\nAnswer: -(l - 1)*(15407*l - 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 105, 213, 363?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.12392 rounded to 3 decimal places?\nAnswer: -15.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - i - 18 = 0, 13*m - 6 = 8*m - i. Solve 69 = -m*t + 48 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/88 + ((-2390)\/(-110) - 22). What is the fifth biggest value in 3, 4, -1, -0.2, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 6. Let j be ((-176)\/132)\/(4\/18). Let p(u) = -2*u - 17. Determine j*p(n) + 17*x(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10166*y + 2. Let c(t) = 50*t**2. Determine n(c(u)).\nAnswer: -508300*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 23654 = -898. Suppose -32*j + q = -j. What is the lowest common multiple of 88 and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1394878*z**5 + 668211*z wrt z?\nAnswer: -27897560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-495240\nAnswer: -108952.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*n**3 + 2*n**2 + 85*n - 175927?\nAnswer: 306*n**2 + 4*n + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + 4*h + (4 - 2 - 1)*(-20 + 20 + h) + 0*h + 2 - 5*h - h)*(-4*h + 3*h + 3*h) as k + y*h**2 + n*h and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 285162 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 102839, 102835, 102831, 102827, 102823, 102819?\n\"Answer: -4*z + 102843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 550 = -14*t. Let l = 120 - t. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from apapvpvxvpxavxhx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w + 52. Calculate the remainder when 28 is divided by p(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13684 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 5*c + 25. Determine w(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98799 and 193.\nAnswer: 19068207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793\/(-22)*4\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150779 (base 10) to base 5.\nAnswer: 14311104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 36*b - 1080 = 0. Let y be 2859997\/2 + b\/40. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (sqrt(1216)*1)**2 + -2.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/8))**(-32)*(n**(-9)\/n)\/(n*n*n\/n**(-3\/13)*n) assuming n is positive.\nAnswer: n**(75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261130, 522265, 783400?\nAnswer: 1044535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 5. Let k be b(6). Let z = 2557\/2745 + 1\/549. Let d = z + -79\/90. What is the second biggest value in 2\/15, d, k, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36549 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 p be -2*(-1 - (-6)\/(-4)). Let k = -38.7539 - -42.7539. What is the nearest to 1\/2 in p, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 4 + 1 - 14*f - 5*f as d*f + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*s + 8, 12*p - 15*p = 0. Put s, 127, 3 in descending order.\nAnswer: 127, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**5 - 3*w**5 - 2*w**5)*(2 - 4 - 1).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6) + -3 + (-15)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*w + 338 + 201 = 0, w - 4 = 0. Let z = -97 + s. What is the remainder when 18 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 677, 1379 in decreasing order.\nAnswer: 1379, 677, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -79*k**2 - 2. Let b(j) = j**2. Give w(b(s)).\nAnswer: -79*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u - 2. Let r be g(6). Suppose -r*c = -18*c + 48. What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*u**4 + 9*u**3*z - 6*z + 27 with respect to u.\nAnswer: -28*u**3 + 27*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from tttonanoonaat?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssosssssssssssss. What is prob of picking 2 s and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 32*q**2 + 1111*q - 19502. Calculate v(17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75936 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwwwyww. Give prob of sequence yy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 11*h**6\/360 - 5*h**4\/8 + 11*h**3\/3 - 10. Let g(n) be the third derivative of m(n). Differentiate g(k) with respect to k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62\/(-248) - 98*(-22)\/(-16). Let o be (-12)\/(-2)*(-90)\/h. Solve c + o = 5*v, 0 = -4*c + 6 - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6111 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/4 - -3)\/((-2)\/20). Suppose x - 31 = u. Let r(f) = -766*f - 13. Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 - 5*x**2 + 16*x + 11. Let j(v) = v**3 - v**2 + 3*v + 2. Let d(p) = 11*j(p) - 2*s(p). Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmil when four letters picked without replacement from bhmhmhlimlmlhhhhln?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -728\/9 - -81. Suppose 5 - 52 - 18 = -13*y. Which is the biggest value? (a) -20 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(325))**2 + -3.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1834.6386 rounded to 1 dp?\nAnswer: -1834.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 10*q**2 - 7*q + 20. Let n be t(-9). Solve 0*b - 4 = -n*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 11*a + 36. Let b(f) = -2*f**2 - 22*f + 62. Let u(t) = -4*b(t) + 7*w(t). Suppose 65 = -5*i + 5*g, 35 = -3*i - 0*g + g. Give u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348026618.\nAnswer: 2, 17, 10236077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 2760?\nAnswer: 35880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 28 = -4*l + 168. Let m(p) = -p**3 - p**2 - 2*p + 3. Calculate the remainder when m(-4) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 16 - 6. Let c = 0.036 - 0.088. Let x = -1.948 + c. Put z, -1\/6, x, 1\/6 in ascending order.\nAnswer: x, -1\/6, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 - 7 = 0. Suppose 0*t + w = 2*t. Suppose -3*g = t*a - 19, -4*a - 12 = -3*g - g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + -17. Suppose -49*b + 50*b - 35 = -p, 4*p = b + 160. Let l = p + t. Solve -4*z - 14 - 2 = l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6, 3*p = -c + 7 + 7. Suppose -7*z + c = -20. Suppose r - 15 = -4*l, z*l - 6*l - 4*r = -18. Solve l*f + 0 - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullllllllulllllllll. Give prob of sequence lu.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.547494 rounded to 3 dps?\nAnswer: 2.547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -368*c + 373*c - 15, -4*l = -3*c + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -858\/5 + 171. Let d = 0.62 + -0.12. Which is the closest to 0? (a) 5 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) -2 (c) 5\/4 (d) -2\/11 (e) -0.039 (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v**2 + 3*v + 1. Let r be m(5). Calculate the common denominator of -53\/6 and (-12)\/r*(-70)\/24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*d + 41 = 0, 4*b + 3*d = 5*d + 34. Suppose 0 = -4*v + b + 3. Factor 0 + 0*w - 3\/4*w**2 - 3\/4*w**v.\nAnswer: -3*w**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2430)*-3)\/(sqrt(486)*3))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32013 - 11?\nAnswer: 32002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -507 + 990. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -334, -489, -646, -805?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 5 (c) 0.04 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 2*c + 2. Let q(a) = a**2 + a - 1. Let r be q(0). Let y = r + -1. Let l be o(y). Solve -l*p - 10 = 2*x, 2*x = p - 6*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose -o = -g + 2. Solve 18 = -3*k - 2*n - n, -6 = -2*k + g*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zctdzzdmcmtzz. Give prob of picking 1 c, 1 m, and 1 d.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 8*n - 3*n - 730, 0 = -d - 2. Let r = 148 - n. Solve -r*g = -2*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/24)*t)\/t*t**(1\/15))\/((t\/(t\/t**17))\/(t*t**(-3\/7)\/t)))**(-10\/9) assuming t is positive.\nAnswer: t**(13709\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d + 2. Let w(m) = -7*m**2 - 3*m - 12. Let t(k) = -2*r(k) - w(k). Let g(v) = -14*v**2 - 14*v - 23. Give 3*g(y) + 8*t(y).\nAnswer: -2*y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9291, -9343, -9395?\n\"Answer: -52*c - 9239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 848*w**2 + 962*w - 37. What is the hundreds digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 24389.\nAnswer: 48778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 1958 = -13*u. Suppose -3*s + 1136 = -u. Suppose l - 3*k = 862, -3*l - 3*k + 3351 - s = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1990 and -79\/796.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = 6883412 - 6885656 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(sqrt(931) + -1).\nAnswer: -28*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153672 and 599186.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 155*u**2 + 74*u - 368. Is o(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 10. Suppose -4*a = -v - s, 0 = -2*v + 3*v + 3*a - 2. Let y(b) = -b + 1. Let n(m) = m**2 - 3*m + 5. Calculate v*n(j) + 3*y(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/12 - 19*h**3\/6 + 2*h**2 - 48*h. Let f be d(-12). Solve -16 + 31 = -f*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.30497223 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3766, -7541, -11314, -15085, -18854, -22621, -26386?\nAnswer: -30149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 250489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*z + 2 + 4*z**3 + 31*z - 12*z to u*z + p + t*z**3 + h*z**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51153 (base 11) to base 4.\nAnswer: -102033123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 34.794?\nAnswer: -34.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 11, a: 3}. Give prob of sequence oava.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**3 + 2*g**3 + 4 - 7*g**3. Calculate the remainder when 7 is divided by y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -1094, 507, -3.\nAnswer: -1094, -57, -3, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose 0 = -3*b + 7 - 1, c - 3*b = -1. Suppose -c*l = -9*l + 12. Solve z*h - 2 = 4*h, -2*v - l = -5*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.07?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/90 and -77\/12300.\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1307928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by 5?\nAnswer: 356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0\/1)\/2. Let k be (1 + -7)\/3 + o. What is the units digit of k\/((-4)\/(-2) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/5 - 302*b**3\/5 + 1758*b**2\/5 - 522*b.\nAnswer: 2*b*(b - 145)*(b - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(132) - sqrt(132)*1))\/sqrt(3))\/((sqrt(4000) - (sqrt(4000) - sqrt(4000)*-2))\/(sqrt(20)\/sqrt(2)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -40, 4, 5, -27 in ascending order.\nAnswer: -40, -27, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10111111 (base 2) to base 14\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 8*i - 4. Let x be f(6). Let q be -6*(-3)\/(x + 1). Put -3, q, 3, 0 in decreasing order.\nAnswer: 3, q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10735798 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 102. Let y be (r\/20)\/(-1*4\/40). Factor 0*k + 0 + 4\/5*k**2 + 6\/5*k**3 - 2*k**y.\nAnswer: -2*k**2*(k - 1)*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, 4, -36 in descending order.\nAnswer: 6, 4, -8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 17 - 31 = 5*n, -4*g = -2*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -613391, -613389, -613387, -613385?\nAnswer: -613383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 7*i**2 - 8*i + 4. Let v be 70\/(-8) + 6 + (-189)\/36. What is l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddm. Give prob of picking 1 m and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1 + 2*a**2 + 11*a + 7*a + 16 + 4*a. Suppose 0 = -2*g - 5*k + 3, 0 = -2*g - g - k - 28. What is the lowest common multiple of r(g) and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13152\/307 or 44?\nAnswer: 13152\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**6\/180 + 97*h**3\/6 + 17*h + 2. Let s(g) be the second derivative of w(g). Let l(a) = 81*a**2. Give l(s(p)).\nAnswer: 324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a**5 + 0*a + 0 - 1\/24*a**6 + 8*a**2 + 0*a**4 + a**3. What is the first derivative of b(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3450 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 11. What is the smallest common multiple of t(-19) and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -199*v - 802. Give q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20123*m - 20123*m - 234*m**2 to the form z*m + s*m**2 + a and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -227556 divided by 378\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - 61. Let v = -24 - o. What is the remainder when v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 102, 101, 100, 99, 98?\n\"Answer: -j + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 12. Let a be o(-3). Let d(t) = 35*t**3 + 25*t**2 - 25*t. Let v(g) = -9*g**3 - 6*g**2 + 6*g. Give a*d(r) + 25*v(r).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -224, -349, -492, -659?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8674 - 8525. Calculate the lowest common multiple of t and 251.\nAnswer: 37399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 2\/(-2) + -1. What is the first derivative of 2*k**2 + j + 3*k**2 + 5 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093433 to seven dps.\nAnswer: 0.0000934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 5*y**2 + 2*y**2 - 5*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2. Let o(y) = -5 - y + 3*y + y**2 - 7*y + 6*y. Give -5*d(b) + 2*o(b).\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 474, 2 in ascending order.\nAnswer: -5, -2, 2, 4, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/39 - 878265\/(-195). Suppose -f = -31*l + 23*l. What are the prime factors of l?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 4. What is the third derivative of w**3 - 2*w**2 + 6*w - k*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.04 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -16 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 217498, 14\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -7 - 5 - (-1 - -4). Let y be (-4 + (k - 3))\/(-1). Suppose -3*h = -22 - y. What is the highest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4 - 416*k - 418*k - k**2 + 832*k. Let m(c) = 2*c**2 + 4*c + 7. Calculate -7*d(t) - 4*m(t).\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)\/((-2288)\/(-2464) + 20\/(-8))?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10452, 20640, 30828?\nAnswer: 41016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -3 - (-5 - (-8 + -5)). Let u(n) = -73*n**3 + 4*n**2 + 4. Let m(h) = -72*h**3 + 3*h**2 + 3. Determine c*m(r) + 3*u(r).\nAnswer: 69*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921128*i**3 - 1399807*i**3 - 26467 + 26467.\nAnswer: -2320935*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10152801 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i**2 + 34*i + 1. Calculate the lowest common multiple of q(-4) and 9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 57\/2, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven fifths of a decade?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.0508\nAnswer: -0.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192071 is divided by 2807?\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 > 53.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4559, 1, 0, -23 in decreasing order.\nAnswer: 4559, 1, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*2 + sqrt(121))*2)\/(sqrt(99)\/sqrt(36)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**3 - 308*o**2 - 31*o - 857. Calculate i(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 58*x - 542. Calculate the remainder when 2965 is divided by r(13).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4107438.400127 - -4107471.9. Let j = d - 33.5. What is j rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j**2 + j + 8. Let z be o(6). Suppose 1 = -3*p + 10, 4*p + z = -2*w. Let i = w - -82. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -62. Let b = -1 - z. Let j = b + 109. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k - 2*k + 0*k + (-20 - 9 - 7)*(-9*k - 14*k + 17*k).\nAnswer: 219*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 23. Let h be (-7 + (-77)\/(-14))\/(98\/24 + -4). Determine k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*4 - (-5*sqrt(119)*6 - sqrt(119)))\/((sqrt(175) - sqrt(175)*2) + sqrt(42)\/sqrt(726)).\nAnswer: -253*sqrt(17)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-4)\/40)\/((-2)\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaw when three letters picked without replacement from {c: 2, j: 2, v: 1, k: 1, w: 3, a: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w + 7. Let g be r(-7). Suppose 4*v = 13 + g. Let y = v - 3. Is y less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/2)*(-3)\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11907)\/(-2835)*(-5)\/(-3))\/((-2)\/8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*x - 165 + 165)*(-x + x + 3*x)*(1 + 4 - 1) - 2*x**2 + 0*x**2 + x**2 to t*x**2 + r + v*x and give t.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.4, 4, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -135?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.578579 nanometers to kilometers.\nAnswer: 0.000000000009578579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23259 + -9897. Let m = x - 293905\/22. Let a = 463\/9 + -101\/2. Find the common denominator of a and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*d**2*f*p**2*q + d**2*f*q + d*f*p*q - 2*d*p**2 + f*p**2*q - 6*q wrt d?\nAnswer: 52*f*p**2*q + 2*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*f**6 + 9*f**6 + 0*f**2 - 1 - 5 - f**2 wrt f.\nAnswer: -10920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 4, n: 1, g: 4}. Give prob of sequence kn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2 - 1455256*d - 166273545 wrt d?\nAnswer: 2*d - 1455256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(891\/(-18)))\/((-4)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306309 and 21?\nAnswer: 2144163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Let b be (-4)\/8*(-1 + t). Suppose -5 = -s - b*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2596.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a + 16. What is d(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -95. Let k be h\/2*(1008\/(-6) - -6). Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 2*o**3 - 7*o**3 - o + 10*o**2 - 3*o.\nAnswer: -2*o*(o - 2)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*q - 211*q + 4005 = -492*q for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 + m**4\/3 - m**3\/2 - m**2 - 2343*m - 1. Calculate k(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*-2*(-258)\/(-7998).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x**5 - 816*x**4 - 2892*x**3 - 1873*x**2 - 444*x - 36 = 0.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-242)\/(-33)))\/(-9*5\/(-30))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 0*j + 41 = 0. Let n(u) = 5*u**2 - u. What is n(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61812, -127116, -192402, -257664, -322896?\nAnswer: -388092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 4 + -13 + (50 - 29)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(sqrt(180) - (sqrt(180) + (sqrt(180)*-2)**2)).\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2172655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-1)*q)**(-5\/13)*(q\/(q*q\/(q*((q\/((q**(2\/79)*q)\/q))\/q*q)\/q)))**15)**(-40) assuming q is positive.\nAnswer: q**(63000\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((100\/6)\/10)\/(4\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 26*m**2 + 27*m + 31*m - 6 - 63*m. Let g be -6 + (-4 - (-2 - 3)). Is y(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/57969?\nAnswer: -11\/57969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -30704.\nAnswer: -122816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -16\/3, -7, -1\/5?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r + 456 - 1696 = 0. Calculate the common denominator of 85\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 times -7?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 0 - 328*b**4 - 1 + 420*b**4 - 2*b**2 in the form p*b + o*b**3 + x*b**2 + v + q*b**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/((-102)\/(-90))*(-204)\/36. Solve -x*l = -116 + 31 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 977989\/15 - 65151. Let s = x - 242\/5. What is the second biggest value in -8, -0.3, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:55 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylysssyssyyllsls. Give prob of sequence yy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 9*c - 17*c + 110 = 0, c - 45 = -3*o - 2*o + 2*c - 5*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12871 + -3972. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684626513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 762375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35360, -70714, -106062, -141404, -176740, -212070?\n\"Answer: 3*n**2 - 35363*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472405.\nAnswer: 5, 11, 19, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 559*n**4 + 305*n - 305*n + (-3*n**3 + 0*n**3 + 4*n**3)*(5*n - 5*n + 2*n) + (-2*n**3 + 2*n**3 + 2*n**3)*(-6*n - 3*n + n).\nAnswer: 545*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to 1599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.0559862, 5, -0.25 in descending order.\nAnswer: 5, 0.0559862, -0.25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/a*a*a)**(-11\/6)*(a**(-1\/2))**(4\/21) assuming a is positive.\nAnswer: a**(-106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 26*o**3\/21 - 2*o**2\/7 + 19. Factor f(m).\nAnswer: 2*m*(13*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/63 - (-158)\/14. Suppose -9 - 13 = -t*i. Suppose -3 - 1 = -o. Solve 2 = 2*d - 4*l + o, 8 = -i*d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9866 + -19169\/2. Let f = -821\/3 + m. Find the common denominator of f and 5\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 8 - (-17 + 4) - -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {j: 2, d: 2, z: 1, f: 1, h: 1, r: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {w: 1, b: 10, n: 9}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 18*l - 15. Let v be f(7). Let a = v + 268\/3. Calculate the common denominator of -4 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44533 by -654.\nAnswer: -44533\/654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/4 + 75*i**3 + 447*i**2\/2 + 2*i - 80. Factor q(r).\nAnswer: 3*(r + 1)*(r + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38333814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3193946 and 25\/84.\nAnswer: 19163676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45996867 and 203679?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -893\/4 - -222. Let r = 11 - 14. Let k be 4 + -1 + r + -2. Sort k, -2\/5, y in decreasing order.\nAnswer: -2\/5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2897 divided by -1?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaga when four letters picked without replacement from {y: 4, g: 5, z: 2, a: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -328 or 57?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 minus -0.5?\nAnswer: -412.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4011140*w**3 - 4551842*w wrt w.\nAnswer: -24066840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.18, -376693, -3, 3 in increasing order.\nAnswer: -376693, -3, -1.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155\/6 + 28. Let x = 30139\/33198 + -7\/503. Let h = x - s. Find the common denominator of -53\/9 and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35919 = 5*j + 6889. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 + 796303080*u - 52841549601457200 = 0.\nAnswer: 132717180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.078 - 722.\nAnswer: -722.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/202672 and 19\/118932.\nAnswer: 113698992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 + -222. Let q(f) = 587 - 21*f - s - 195 - 192. Let v(o) = 0*o**2 - 4*o**2 + 3*o**2. What is v(q(y))?\nAnswer: -441*y**2 - 42*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((9\/(-6))\/3). Suppose p + o = -b - 3*p, -20 = 4*b + 4*p. Let f(u) = u**3 - 2*u**2 + 3*u - 3. Let z be f(2). Sort z, b, -3.\nAnswer: b, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/110 and -107\/2105270.\nAnswer: 23157970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n, 0 = 2*v + 3*v - 5*n + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/1 - 98\/14. Let n be 39\/12 + (-3)\/(-4). Sort i, -3, -5, n in descending order.\nAnswer: n, i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -7 + 55. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 487. Let b = u - -258. Which is bigger: -7\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 34. Suppose -5*r = -3*z + 3, -5*z - 2 + w = -4*r. What is the tens digit of (r + (-102)\/2)\/((-18)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 + 21*n. Give j(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 498*d - 494*d - 28, 5*d = 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + -4 + 10 + -5 + (-28 - 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 83*g**2 + 188*g + 1481. Calculate a(-85).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -423\/8*x**2 - 273\/2*x + 39\/4*x**3 - 147\/2 - 3\/8*x**4 = 0. Calculate x.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*g + 1)*(138*g - 174*g - 229*g - 249*g) in the form r*g**2 + x*g + h and give r.\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16844751 and 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 16*q - 10. Suppose -5*r = 4*b - 67, r + 4*b - 27 = -20. Determine o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 72 = 29*p - 27*p, 0 = 4*t + 20. Let c(w) = w - 2. Let s be c(-4). Let m = s - -81. What is the remainder when m is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 141*q**2 + 33*q + 8151. Let a(p) = 17*p**2 + 4*p + 1019. Calculate -33*a(t) + 4*g(t).\nAnswer: 3*t**2 - 1023","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u + 3*n, 9 = -0*u - u - 3*n. What is the highest common divisor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + a**4 - 2*a**3)*(2 + 0 - 1 + (3 + 3 - 4)*(3 - 2 + 0) + 3 - 1 - 4 + 3 - 3 + 1).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:31 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/30 + 17*c**2. Let g(n) be the first derivative of n**2 - 2. Calculate g(w(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185.9 - -186. Is 0.052 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/7754125 and -73\/20.\nAnswer: 31016500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946467127.\nAnswer: 6571, 144037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/11))\/l**13 assuming l is positive.\nAnswer: l**(-131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 31 = 4*m, -954*k + 1 = -m - 955*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -708*o**3 + 10*o**2 + 3*o + 3653. Let j(k) = -355*k**3 + 5*k**2 + k + 1841. Let m(w) = 2*f(w) - 5*j(w). What is the derivative of m(b) wrt b?\nAnswer: 1077*b**2 - 10*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6.4. Let w = -2.3 + z. Which is the nearest to 0? (a) 1\/2 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/28)\/((-1638)\/2520).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 - 101*k + 42. Let m be r(14). Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + 0 - (-154 + 150)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + (-7 - -3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3 + d + 4 + 1. Let g(p) = -5*p - 7. Let c(u) = -11*u - 15. Let k(f) = 2*c(f) - 5*g(f). Calculate -4*k(r) + 11*m(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (-44 - -11) + (-8 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x - 78*x = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and -2662668403588?\nAnswer: 2662668403587.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 12*w - 3*w. Let j = w - 32. Is 9 a factor of j*18 - (-11)\/((-11)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24*f - 13*f = 0. Let r(g) = -13*g + 60. What is the units digit of r(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570*r + 414*r + 738*r + 417*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6888 + 24?\nAnswer: -6864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -6) + -2 - 7) + 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/16*(-14)\/(-8)*2 and 37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwiwwwwiwwiw.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/35)\/(((-637)\/(-65))\/49).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 4*a**2 - 6*a - 6. Let f be ((-1)\/(-3))\/((-2)\/30). Let o be i(f). Is o\/(((-12)\/363)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3318 + -0.3318. Let s be (-774)\/99 + 4\/(-22). What is the nearest to h in 2, s, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42238.6 rounded to the nearest one hundred?\nAnswer: 42200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2237.32 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - 2*g**5 + 2*g**3 + (-14*g**2 + 19*g**2 + 18*g**2)*(0*g**2 + 0*g**2 - 3*g**3) + (-g + g - 2*g**4)*(g - 5*g - 11*g).\nAnswer: -41*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j*k**3 + 78*j*k**2 - 15*j*k - 49*j - 2*k**3 - 2*k**2 + 16*k wrt k?\nAnswer: 54*j*k + 156*j - 12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4455)\/(-290) + -3 - ((-45)\/10)\/(-9). Do 12 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*x**2 - 54*x**2 - 3231*x**3 + 90*x**2 + 938*x - 291*x wrt x?\nAnswer: -19386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84529.\nAnswer: 137, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apppspppppppp. What is prob of picking 1 p, 2 a, and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 + 0.85. Let m = -1 + k. Which is the nearest to 2? (a) m (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:03 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 37490*n + 749700.\nAnswer: (n - 149940)*(n - 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -482 (b) 3\/22 (c) 2\/5 (d) 2 (e) -4 (f) 2\/3 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8330334 > 8330336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 348b71 + 8?\nAnswer: 348b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = c + 2*n - 25, -4*n = 2*c + 6. Suppose -c*b + 461 = -104. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6811378915 to the power of 1\/2, to the nearest integer?\nAnswer: 82531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 9 + 1)*(-3*d + 3*d + d**3)*(0 + 2 - 6)*(-312*d + 160*d + 151*d) to the form z*d**4 + a + i*d**2 + o*d**3 + v*d and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.08, -1\/9, -1, 92?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1490554, -1490552, -1490550, -1490548, -1490546?\nAnswer: -1490544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - -11. Suppose -4*i + z = -27, i - 6 = -5*z + 6. Suppose j + i = b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 63. Let g be o(-26). Is g at most 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 699, 698, 697, 696?\n\"Answer: -h + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 12*m + 3. Calculate v(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 419913590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(297)\/(2*-2*sqrt(9)))\/((sqrt(3) + (sqrt(3) - sqrt(6)\/sqrt(2)*-1))*1*-6).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4910*g - 4918*g - 152 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33\/44)\/((-24)\/(-28384))?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((14 + -14)\/(-3 - -1))\/1. Suppose 5*i + i + 18 = j. Let q be (-160)\/30*(-9)\/(-28). Which is bigger: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 2 - 2. Let q(a) = 2*a + 9. Let c be q(-8). Let x(w) = w + 2. Let j be x(c). Determine d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*((sqrt(612) - (sqrt(612) + sqrt(612)*2))**2 - sqrt(17)).\nAnswer: -4891 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(1536) - (sqrt(1536) - (sqrt(1536) - (sqrt(1536) - sqrt(1536)*2)))) + sqrt(1536))*3)\/(sqrt(392)*2*3))**2.\nAnswer: 432\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 47 = -7. Let r = -4 - y. Let a(u) = -3*u**2 - 4*u. Let x(m) = m**2 + m. Calculate r*x(p) + a(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*c + c**2 - 2 - 256*c + 118*c to w*c + l*c**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60918?\nAnswer: 2, 3, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 2*l**4\/3 - l**3\/6 - l**2\/2 - 2*l. Let q be (1 - 0)\/(-49 + 48). Give c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v - 14097. What is u(381)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -370?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = 0, 119*y - 123*y - 122 = q. Let k(d) = -d**3 - 31*d**2 - 29*d + 32. What is k(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 - -3?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(272) + -3)**2 - (-2*sqrt(17) + 4)).\nAnswer: -44*sqrt(17) + 554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-6))\/2)\/(1\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3477, 3490, 3539, 3642, 3817, 4082, 4455, 4954?\n\"Answer: 3*f**3 - 8*f + 3482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:26 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 380486, 380483, 380478, 380471, 380462?\n\"Answer: -d**2 + 380487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 4*p**5 + 4*p**5 + (-7*p**2 + 9 - p**2 - 8)*(2*p**3 - 4*p**3 + p**3).\nAnswer: 10*p**5 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 3*w - 2. Suppose 9*o - 64 - 188 = 0. Let z be (((-14)\/49)\/1)\/((-2)\/o). Calculate y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/6440 and 129\/280?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-31 - -14 - -12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*v**2 + 3 + 0 - 4 + 147*v**2 as t*v**2 + k + m*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.329, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41838 and 16074.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 22, 18\/5, -0.5, 3 in descending order.\nAnswer: 22, 18\/5, 3, 3\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.717 minus 1200?\nAnswer: -1257.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/129618 and 43\/151221?\nAnswer: 907326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9387 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) - (sqrt(396) - (sqrt(396)*-2 + -1))**2.\nAnswer: -3565 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 5*u**2 + 3*u - 10. What is c(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -7. Suppose -x*y + 14*y + 48 = 0. Solve 3*k + 4*c = 3*c - 3, -5*k - y = -2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78290*q**2 - 2*q**3 + 1757*q**4 - 78290*q**2 - 2575*q wrt q.\nAnswer: 21084*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -32976?\nAnswer: 32978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltti. What is prob of sequence li?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 27 + 15 = 0. What is the third derivative of 180*d**2 + 89*d**3 + 116*d**2 - 85*d**j + 33*d**3 wrt d?\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549, -5, 0, -224, -3 in ascending order.\nAnswer: -549, -224, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1840 - 426. Let w = c + -743. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40896593 to the nearest integer?\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 101*n**7\/105 + 69*n**3\/2 + 28*n**2 + n. What is the derivative of h(c) wrt c?\nAnswer: 808*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + -0.6. Let o = j - -1.895. What is o rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14358502 by -32.\nAnswer: 7179251\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 2)*(6*l**3 + 12*l**3 + 33*l**3) in the form z*l**3 + b*l + s + f*l**2 and give z.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/93)\/c**(-5\/3) assuming c is positive.\nAnswer: c**(51\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose -4*g - 40 = -2*o, -10*o = -6*o + 2*g - 110. Suppose c - o - 12 = 2*l, 0 = l + u. What is the highest common divisor of 306 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53671727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t + 13. Let y(o) = -o + 9. Let s be y(7). Let c be (-2*s\/1)\/(2\/(-3)). Does 24 divide l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 12 + 0 + 34*p**2 + p**3 + 12 in the form g*p + o*p**3 + k*p**2 + b and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1865)\/(-25) - 4\/(-10). Suppose -2*n + c = -65. Suppose -o = p - 58, -n = o - 2*o + 5*p. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 18. Suppose -3*f + m*f - 18 = 0. Suppose f*t - 14 = 28. Calculate the least common multiple of 4 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15371 divided by 212\nAnswer: -15371\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m**2 + 5*m + 5. Suppose 2*c + 5 = 4*b + 17, -c - b = -3. Give i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39481113 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**3 + l - 2. Let d be z(1). Suppose d*n - 4 + 32 = 0. Let g(i) = 10*i + 2. What is g(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(1\/5)*i*i**(3\/5)*i**(-2\/9)*i**(2\/5) assuming i is positive.\nAnswer: i**(134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/21*(-51702)\/8 + 2. Suppose -6*c + 10394 = -t. Suppose -3*d + c = s - 676, 3*s + 5289 = 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936694938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*o - 10*o + 2*o)*(0 - 3 - 2)*(-5 + 3 + 1)*(1 + 0 + 0) + (-o + 3 - 3)*(-2 + 0 + 1).\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 46. Suppose -k*s + 115 = -3*s + q, -4*s = 5*q - 146. Let n = 52 - s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 542031 and 2968?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/530 and 109\/530?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.79 - -32.79. Put 2\/21, 1.64, l, -2\/9 in increasing order.\nAnswer: -2\/9, 2\/21, 1.64, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*u + 44*u + 81. Suppose u*k + 54 = 1044. Calculate the remainder when k is divided by ((-148)\/8)\/((-1)\/2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 7*u - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4169 divide 229557647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 346 and 44?\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/6 + d. Let l(v) be the second derivative of -5*v**3\/3 + v. Determine l(b(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*a - 0*a + 33, -30 = -2*y + 5*a. Suppose -y*p - 3 = -6*p. Suppose 0 = -2*d - p*d + 310. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*d**3 - 9\/5*d - d**2 + 9.\nAnswer: (d - 5)*(d - 3)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11280*n**4 + 115*n**3*w - 4*n**2*w - 56*n**2 + 2*n*w - 1306*n - w wrt n.\nAnswer: -270720*n + 690*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmddzyyymczp. What is prob of picking 2 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150953300 to the nearest integer?\nAnswer: 12286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f, 4*z + f - 9467 = 2601. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10311.12 rounded to the nearest one hundred?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240212234.\nAnswer: 2, 120106117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 431563, 431330, 431097, 430864, 430631, 430398?\n\"Answer: -233*d + 431796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 611913 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(931) + 5 + -4 + -3*(sqrt(931)*-1)**2.\nAnswer: -2790 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + 11121000021121?\nAnswer: 11121000100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 7\/879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003411228304 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83347 is divided by 82828.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.5663125 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**4 + u + 3*u**4 - 2 - u**4 in the form b + l*u**2 + z*u**4 + a*u + s*u**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(72\/(-135)*5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.372 + 44.872. Which is the fifth biggest value? (a) -0.7 (b) 2\/5 (c) -0.4 (d) u (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g - 7. Let x be s(5). Let n(q) = -2*q**3 - 2*q**2 - 3*q - 3. Let j(b) = b**3 + b**2 + 2*b + 3. Let o(k) = x*n(k) - 3*j(k). Determine o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -15*m - 93, -8391*m - 5*y + y = -8388*m + 14 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 23 = -3*h, 8 = 3*h + 57921*m - 57920*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3427876 and -1.\nAnswer: -1.3427876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o**3 + 1\/24*o**4 + 1\/30*o**5 + 0*o - 1\/105*o**7 + 5\/1344*o**8 + 0 - 10*o**2 - 3\/160*o**6. Find n, given that q(n) = 0.\nAnswer: -1, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-1) + 1)*(75 - 76). Put 0, -3, m in increasing order.\nAnswer: -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1011232 and -61\/31759005?\nAnswer: 1016288160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 3388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 60*t**2 - 373*t - 102. Give m(-53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(17\/459*12\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/60 + 2*s**2. Suppose 0 = -0*v - v + 9. Let g(l) = -5*l + 12*l - 7*l - v*l. Calculate g(b(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(-1 + 3 + 0) - 3 + 4 + 1)*(89*y + 30*y - 193*y + (y + 0*y + y)*(1 + 3 - 3)).\nAnswer: -432*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.2 and 55.76.\nAnswer: 736.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21531030 - 0?\nAnswer: -21531030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 4353*k**2 + 0*k + 1272*k**2 - 5624*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away 211.7822?\nAnswer: -223.7822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 251.463 millennia?\nAnswer: 2514.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a)*(a**2 - 2*a**2 - 3*a**2) + (6*a - 3*a - 2*a)*(3 + 12*a**2 - 3).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -25.26. Let u = 0.41 + m. Round u to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74281\/158832 - -28\/1103. What is the common denominator of z and 19\/160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4049778 to the nearest integer?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -49\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 42*v - 5*v + 320 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x = -103*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z + 1. Suppose 5*c + 16 = -r, 0 = -3*c - 3 - 3. Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4442, 19920, 61930, 143738, 278610?\nAnswer: 479812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.3 (b) -1 (c) -0.1 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/((-2048)\/(-384)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624.6 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 92 - 268 = 4*q, -5*q - 97 = -2*c. Suppose -n - 2*y + 7 = -0*n, -4*n + c = -5*y. List the prime factors of (-2 - 12)*(n + -10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 divided by -22?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1071?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + (-7 - -6) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 101\nAnswer: 215\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 103, 77, -15, -197, -493, -927?\n\"Answer: -4*b**3 - 9*b**2 + 29*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - ((-396)\/(-16))\/(-11). Let c be (-198)\/(-72) + w\/8. Factor 4*j**2 - 4*j**4 - j**5 - 23*j**3 - 5*j + 24*j**c + 5*j.\nAnswer: -j**2*(j - 1)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqdqqqqqqqqqddqqqq. Give prob of sequence qd.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -0.4, 2\/239, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 123, 183, 241?\n\"Answer: -s**2 + 65*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -82*f**3 + 2541*f**2 + 38*f - 130. Determine l(31).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14916*d**2*f*m**2 + 122*d**2*m + 2*d**2 + 44*d*m**2 - f*m**2 wrt f?\nAnswer: -14916*d**2*m**2 - m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**2 - m. Suppose -g - 2 = -2*b + 3, -2*b - 7 = 3*g. Is n(b) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.29 - 0.41. Let z = 2.0538 - -0.655. Let a = z + b. What is a rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(3*k**2 + 2872 + k**2 - 2880).\nAnswer: 12*k**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(4\/(-6)*15\/(-20)). Is (4 + -1078 + -5)\/(f + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.48 - -0.48. Let j = 1.87 - -0.13. What is the nearest to 5 in j, u, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11769732 and 76356?\nAnswer: 82388124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 4*k - 1. Let i be w(4). Let z(b) = -2*b**3 + b + 1. Let j be z(i). Suppose -j*u = -u. Solve 2*h - 5*t + u*t - 29 = 0, 0 = -h - 4*t - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from bpttbbptbttttbmbttb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**3 + 81*i**2 - 76*i + 63. Let g(j) = j**3 + 16*j**2 - 15*j + 12. Let l(z) = -11*g(z) + 2*w(z). Give l(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013 - 122?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 112183\/24. Let r = -4668 + h. Find the common denominator of r and -28\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97023 is divided by 724.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 942, 2, -3, -14 in descending order.\nAnswer: 942, 2, -3, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:26 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197692854256\/416173017 + -2\/10671103. Let y = -475 + z. Let o = -6303\/254 + -7\/381. What is the common denominator of o and y?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 455 - (-5 - -8 - 6).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 4\/3*p**5 + 0*p**3 - 29\/30*p**6 + 5\/84*p**8 + 2*p**4 - 16\/105*p**7 + 0*p + 0 + 352*p**2. Determine i, given that n(i) = 0.\nAnswer: -2, -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 2. Let r = -513 - -522. What is t(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6709, -13415, -20121?\nAnswer: -26827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 57599*-0.4\nAnswer: -23039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 222035358 - -2?\nAnswer: 22203535a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 69, 93, 97, 75, 21, -71?\n\"Answer: -o**3 - o**2 + 48*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 404262613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*r + 17, 1199*m - 1190*m = 19*r + 27 + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*3 - sqrt(24)\/sqrt(24))\/((-1*(sqrt(72) - -2*sqrt(72)) - sqrt(72)) + 1*sqrt(72)*2).\nAnswer: -11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 199 - 11*l**2 - 226 - 6*l**2 wrt l?\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 2. What is x(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*u**4 - 4\/7*u**5 - 4\/7*u**2 + 0*u + 4\/7*u**3 + 0 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**5\/40 + k**4\/6 + k**3\/4 - 9*k**2\/2 + 20*k. What is l in a(l) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821644091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84357 is divided by 444.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -88?\nAnswer: 9\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -26*w. Let s(x) = 79*x - 102. Give -s(m) - 3*z(m).\nAnswer: -m + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*s - 362*s = -202*s + 504 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 876919 to the power of 1\/2, to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10512447 (base 9) in base 7?\nAnswer: -61143511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 129*j + 53. Calculate x(-2).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -105. Let t(z) = -z**2 - 34*z + 149. Let w be t(4). Sort 6, 5, w, h.\nAnswer: w, h, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 7)*3\/9. Differentiate 0 - 5 + z*l + 2 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106983031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6678)\/147)\/(((-5)\/42)\/5)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 21*j**2 + 21*j - 20. Is n(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 21578 = -14*g - 3*l, -5*l = 3*g - 32329. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c + 128. Let h be f(-18). Suppose -816900 = -3*r + h*r. Round r to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -21*q + 30. Calculate the remainder when 15 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 48 = 2*j - k, k + 28 = 3*j. Suppose -16 = 8*r - j*r. Suppose -5*h = 20, -5*i + 11 + r = 4*h. Let a(d) = d**2 - 6*d - 1. Give a(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508539414.\nAnswer: 2, 3, 43, 89, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 25 = 0. Which is the nearest to 3? (a) 2 (b) l (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 0*h + 231 - 451 - 2*h + 5*h + 222.\nAnswer: 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*n = 157*n - 1763 + 9287 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, s: 2, g: 4, c: 4}. What is prob of sequence mgg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63840 divided by 31920\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-105) - 21\/(-5). Suppose -68 = -5*f - l*q, 0*f + 2*q - 16 = -f. Is 17 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.22. Let b(q) = -3*q**2 + 7*q + 4. Let z(n) = n**2 - n - 1. Let j(l) = b(l) + 4*z(l). Let p be j(-3). Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77418401527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + 4*j)*(-92 - 42 - 110).\nAnswer: -488*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7464 and 120?\nAnswer: 37320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-8 - -3))*108. Suppose 3*y - n = -y. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 582567, 1164956, 1747345, 2329734, 2912123?\n\"Answer: 582389*t + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -35?\nAnswer: -13\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = -3*v, 9*g - 4*v - 4 = 7*g. Let r(m) = 9*m**2 + 3*m - 6. Let u be r(5). Suppose -g*j = -j - u. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 5\/3*h**3 + 109\/60*h**5 + 60*h**2 + 0*h - 1\/8*h**4 + 0. Find the second derivative of y(x) wrt x.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**(-48)*a**(-6\/5)*a*a\/(a\/a**(1\/11))*a assuming a is positive.\nAnswer: a**(-1007\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15 - 100\/14) + 10*(-91)\/(-130)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 4. Give g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 808 = -512. Suppose -380 = -5*o + 4*g, -2*g - 2*g - b = -3*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.01, -2, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062.091129 rounded to the nearest integer?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -497 at least as big as -54403.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 483035 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ea4 (base 15) to base 12.\nAnswer: -1ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.496 + -5.066. Let r = 4.5 + s. Let o = 1.4 - 1. What is the biggest value in o, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(57\/(-15) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2258 and 89053262?\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Suppose v = -0*j + 2*j + 170. Round j to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*q - 7*q**2 + 689*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -3*y**6\/5 + 57*y**5\/20 - 11*y**4\/2 + 11*y**3\/2 - 3*y**2 - 4*y. Determine w, given that o(w) = 0.\nAnswer: 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 288*t**2 - 413*t**2 + 125*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -15\/14, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7904662 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -2, 0, -1, 4 in descending order.\nAnswer: 4, 0, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 14*a - 5*a)*(6 - 10 - 7*a**3 + 5)*(-4*a + 2*a + 0*a).\nAnswer: 140*a**5 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -40*z**2. Let j(l) = -8*l**2. Calculate k(j(s)).\nAnswer: -2560*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*g**2 - 6952*g**3 + 3477*g**3 + 3469*g**3 + 17*g**4 as i*g**2 + k*g**3 + x + t*g**4 + a*g and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from jfdfaffmjmfrjdmjmrjd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -497397564*m**4 + 188445551*m + 2 wrt m?\nAnswer: -5968770768*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-397)\/4*-1 + 9\/(-36).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241526 rounded to three decimal places?\nAnswer: -0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, n: 9, v: 6}. What is prob of sequence vonn?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 50. Let p(l) = l**2 - 9*l - 11. What is p(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-195)\/(-21) - -3) + (-4)\/14. Let u be (-256)\/k*(-357)\/28. What is the highest common factor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 8*k**2 - 22*k**2 - 1 + 9*k**2 + 21*k**2 + 3.\nAnswer: 19*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4171, 2\/3, 9, 2\/5, -0.3, 0.1.\nAnswer: -0.3, 0.1, 2\/5, 2\/3, 9, 4171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11597 - 11592. Put 1, -5, -787, i, -1 in ascending order.\nAnswer: -787, -5, -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 76, 108, 106, 58, -48?\n\"Answer: -2*z**3 + z**2 + 65*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38207, 38193, 38179, 38165?\n\"Answer: -14*z + 38221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 789 - 7899\/10. Let u = -8808047\/210 - -41943. Let v = -5419\/1155 + u. What is the common denominator of v and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n - 5*n - 8*n - 1)*(-2 + 4 - 5)*(4*n**2 + 2*n**2 - 4*n**2) as f*n**2 + y*n**3 + a + c*n and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 1633.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 13*d + 6. Let i be o(13). Suppose -49 = i*r + 41. Calculate the common denominator of (-3)\/(-5)*r\/114 and 143\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Let x = -70539 - -493770\/7. Suppose -11 = -3*l + u + 5, -3*u = 3*l. Which is the closest to 0? (a) i (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 12802947.38.\nAnswer: 12802853.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2159 - -5. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/4)\/(7943\/(-178412)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*u**2 + 11*u**2 - 3 + 3.\nAnswer: -107*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67417070 and 13937?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 - -143. Let z(q) = -25*q - 5. Let n be z(-6). Suppose -139 = -4*y + i, -t*i + n = 4*y + i. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdg when three letters picked without replacement from {d: 3, u: 3, g: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 2*q**4 - 2 - 4*q + 0*q - 10*q**4 as d*q + c*q**2 + i*q**3 + k*q**4 + x and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2. Let i(s) be the second derivative of -s**4\/12 - 8*s. Give r(i(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/212051 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 25. Let f be (-6 - w)*(15 + 0). List the prime factors of ((-6)\/f)\/(2\/(-50)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 16 - 2 - 7 - 5 + 6*f.\nAnswer: 6*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/35 or -1477.34?\nAnswer: -1477.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1*1894\/(-6). Let s be a\/(-6)*(-4)\/(-6). Let o = 105 + s. What is the closest to -2\/3 in 0.4, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26943, 27890, 29467, 31674, 34511, 37978, 42075?\n\"Answer: 315*v**2 + 2*v + 26626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*1*5)\/(1*sqrt(11)*-3).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -2*r**4 - 11*r**3\/2 + r**2 - 11*r. Let g(k) = -49*k - 34. Let q(p) = -2*g(p) + 3*u(p). Differentiate q(c) with respect to c.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54896 is divided by 2448?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1025 divide 5401750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628527502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 2427*s**4 + 9741*s**3 - 12189*s**2 + 4878*s = 0 for s.\nAnswer: -813, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -115?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) -1\/12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-14)\/(-504)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.2, -4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*(0*l**2 + 15*l**2 - l**2)*(-2 - 10*l + 8 - 8).\nAnswer: 140*l**4 + 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 14\/6)*(-66)\/(-8). Suppose -2*a = 3 - r. Let k(c) = 4*c**2 + c + 1. Let v be k(-1). Solve -a*h - 3*m - 23 = 0, h = -0*h + v*m - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17145\/(-162))\/(-127)*2\/(-10))\/((-15)\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6549 by -7.\nAnswer: -6549\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**8\/168 - 3*l**7\/35 - 33*l**6\/10 - 171*l**5\/5 - 729*l**4\/4 - 567*l**3 + 9140*l**2. Factor s(o).\nAnswer: 2*(o - 21)*(o + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 50. Let x be r(12). Solve 0 = -x*o + 11 - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 1, -75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11717 from 765595580.\nAnswer: 765583863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.958 - -0.042. Let m = h + -2. Let q = -2.9 + -0.1. Put m, q, 0 in descending order.\nAnswer: m, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = -0*y. Solve 9*z + v - 3 = 4*z, y = 2*z + v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by -575?\nAnswer: 97\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-66)\/(-4)*(-384)\/(-72) and 20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = -0. Let z(k) = -15*k - 6. Let d be z(b). Suppose 2*a = 4*x - 3*a - 24, -2*a = -2*x + 12. Calculate the highest common factor of x and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 7*m**2 - 45*m - 36. Let l be g(24). List the prime factors of 2\/(-1)*-2 - l\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -496 - -3475\/7. Let k be 20\/(-275) - (-7)\/(-35). What is the second biggest value in g, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(3800))\/(sqrt(128) - (sqrt(2) + sqrt(10)\/(sqrt(20)\/sqrt(4))))*-2.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -1, 4, 3, 2 in decreasing order.\nAnswer: 4, 3, 2, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:17 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8479, 8499, 8527, 8563, 8607?\n\"Answer: 4*q**2 + 8*q + 8467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*n**4 + 174*n**3 - 1376*n - 43 wrt n.\nAnswer: -1008*n**2 + 1044*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -782*b*h**3 - 3*b*h**2 + 745994*b - 1111*h**3 wrt h.\nAnswer: -4692*b - 6666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Suppose 5*y + q = -6 + 31, 5*y + 3*q - 35 = 0. What is the derivative of -7*o**4 - 7 + 4*o**y + 3 - 3*o**j wrt o?\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 363, 369, 365, 339, 279, 173, 9?\n\"Answer: -2*l**3 + 7*l**2 - l + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 2*n**3 + 0*n**3 - 7*n**2 + 7*n**2 - 6*n**3 + (-n**3 + 4 - 4)*(3 + 5 - 6) in the form q*n**2 + y*n + k + a*n**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*p**2 - 3*i**3*p - 11342*i**3 + i**2*p**2 + 5*i*p**2 - 3730 wrt i?\nAnswer: -12*p**2 - 18*p - 68052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4813507046 and 16.54.\nAnswer: -4813507029.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.9 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1241100988 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1117 rounded to 3 decimal places?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -65, -80, -77, -50?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -4, -3, -14.5, -6?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -801898 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -27 (c) -0.5 (d) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*p**5 + 2969*p**4 - 34*p**3 - p**2 - 163444830*p wrt p?\nAnswer: 3300*p**2 + 71256*p - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (2 - -3))\/(1 - -1). Suppose 0 = 5*x - 5, -5*k + 6*k - 4*x + 2 = s. Solve -k*u = 5*z + 28, 2*z + 0*u - 2*u = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.069 (b) 3\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385565 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191 + 334. Let y = -16375 + 16383. What is the remainder when z is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1516771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-35)\/(-14) - 7203\/(-2) - -3?\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(9*j + 9*j + 19*j) + 0 - 2*j + 0 to x + c*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.311 (b) -2\/7 (c) -4\/3 (d) 1 (e) 0.004 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 11:19 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y + 6*y - 8*y + 3*y**2. Let g(a) = -a**2 - 2*a. Suppose 0 + 1 = j. Suppose -i - 4 = j. Determine i*g(w) - 2*z(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -11. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49928 + -28945. What are the prime factors of p?\nAnswer: 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 8. Let j be n(-7). Let i(m) = -m**3 - 2*m**2 + 3*m - 4. Let u be i(-3). Let z be -6*((-8)\/(-21))\/u. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 135888*c**2 + 1147135284*c - 118425822552.\nAnswer: 4*(c - 102)*(c + 17037)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42044242 + -2?\nAnswer: 42044240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 o when four letters picked without replacement from vvqvqqvo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101000 (base 2) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34776455.\nAnswer: 5, 7, 283, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -1 - (-12)\/4. Suppose -1293 = -4*g - w, -2*g - w + t*w = -654. Find i such that 111*i**2 + 243 - g*i - 36*i**3 + 55*i**2 + 3*i**4 - 4*i**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - -9. Suppose 6*f - y = 2*f. Solve 3*z = -2*c + f, 3*c - 4*c + 5 = 2*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 - 13*r - 13. Let o(f) = -3*f**2 + 7*f + 7. Determine -11*o(l) - 6*x(l).\nAnswer: -9*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhppppphppp. Give prob of sequence hphh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 3, r: 4}. What is prob of sequence cc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, 1393, -1 in increasing order.\nAnswer: -23, -5, -1, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-4 - -3) - 1 - (-169 + 137)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**3 - x**2 - x - 1. Let o(q) = 34*q**3 - 8*q**2 + 4*q + 22. Let f(d) = -15*l(d) + 3*o(d). Factor f(t).\nAnswer: -3*(t - 3)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 6. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:24 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - (-54)\/9*1. Let a = 1 - -17. What is the least common multiple of a and -3 - -23 - (r + (1 - 5))?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/60 - v**4\/12 + v**2\/2 + v. Let d(x) be the first derivative of o(x). Factor d(l).\nAnswer: 2*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*d - 12, 4*q + q = 3*d - 60. Let i(c) = c**3 + 10*c**2 - 5*c - 19. What is the hundreds digit of i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*q + 3*q = -16, 2*o + 2*q - 4 = 0. Let p be (4 - -2) + -4 - 0. Sort p, o, -1 in increasing order.\nAnswer: -1, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2125 and 16375?\nAnswer: 278375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**2 - 30*k**2 + 25*k**3.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/2 + -3)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 805329369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**5\/100 + 7*y**4\/60 - 4*y**3\/15 + 95*y + 48. Let h(r) be the first derivative of o(r). Find v, given that h(v) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218862 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = -15. Let h be 12\/9 - x - 3\/9. What is the tens digit of h*(2 - 0 - -21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let q be 3\/(-6) - (-602)\/(-732). Let o = -2\/183 + q. What is the closest to -1 in o, i, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33940 - -33919. Which is smaller: d or -291\/13?\nAnswer: -291\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 + -82 + 31.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17682421 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9399*b. Let f(d) = -d**2. What is m(f(k))?\nAnswer: -9399*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 100 = 566. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 15214372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*q = 1124 + 603 + 297 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10168 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-40) + 3\/5. Let k(t) = r - 4*t + 3*t - 1 - 3. Let v be (72\/32)\/(6\/(-16)). Let y(m) = -4*m - 15. Give v*y(f) + 22*k(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624543 is divided by 89220.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1010110000111011 (base 2) to base 7\nAnswer: 242355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -2*b + 2, -4 = 5*i + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -29. Solve 2*q - 2*v - 4 = 0, 5*q - 2*q = l*v + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*(f*(f**(8\/3)*f)\/f)\/f)**(-26)*f**7\/f**(-3\/8)*(f\/(f\/(f*f**7))*f)\/(f*f\/f**(-1)*f) assuming f is positive.\nAnswer: f**(-1523\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 2*s**2 - 2*s**2)*(-31 + 60*s - 24 + 55).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114996753?\nAnswer: 3, 1419713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12820258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**3 - 22*p**2 - 7*p + 2. Let u(o) = 14*o**3 + 43*o**2 + 15*o. Let i(q) = -3*u(q) - 5*w(q). What is i(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 9. Let l(j) = j + 9. Determine 3*l(c) + 4*z(c).\nAnswer: -c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 equal to 0.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = 2*n + 104, 4 = -2*v. Let q = n - -130. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 29840.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 41545*w**3 + 41682*w**3 - 2*w**2 + 26*w - 83050*w**3 as r*w**3 + v*w + n*w**2 + c and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 + -1.708. Let b = d + -1.14144. Let j = -0.15 - b. What is j rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 1617?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13331 = 193*x + 14296 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -935438364 + 935438222.9999857. Let t = -141 - g. Round t to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 4. Let f be 0*7*(-5)\/(-70). Put r, f, -4 in ascending order.\nAnswer: -4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*r = -80, 3*r + 7 = -8. Let a(f) = f**2 + 8*f - 9. Is a(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -20*i**2 - 3*i + 2. Let s be m(2). Let o = 1349\/16 + s. What is the common denominator of o and -19\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 4, 2, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -11\/36*n**5 + 3*n**2 - 25\/2*n**3 + 65\/24*n**4 + 3 + 1\/72*n**6 + 0*n. Solve o(r) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 + 1.2. Let h = -6.7 + l. Let b = h - 0.3. What is the nearest to b in 4, 3\/8, 2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -69, -1908, 4 in descending order.\nAnswer: 9, 4, -69, -1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 + 1\/((-15)\/(-20)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2080\/(-5460)*(-9)\/(-12))\/(-1*(-6)\/42)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 - 2*o + 10. Let i be v(5). Let f(b) be the first derivative of 4\/9*b**3 - 3 + 0*b + i*b**2 + 4\/3*b**4 + b**5. Solve f(x) = 0.\nAnswer: -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2463 - -115782\/47. What is the common denominator of 71\/141 and b?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k + 3. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3213104*d**2 + 14682*d + 109 wrt d.\nAnswer: 6426208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 2057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*g - 8 = 0, -g + 31 = -x + 9*x. Suppose -2*m + 26 - 6 = 0. Let v = -4 + m. Solve -5*k - 2*a + v - 23 = 0, -x*k + 4*a - 36 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 43*k**2 - 154*k**3 + 38 - 13*k**2 - 91 + 5 + 172*k = 0. What is k?\nAnswer: -12\/11, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 divided by 20?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 917 - 921. Let r = -2\/129 + 178\/387. Which is the third smallest value? (a) 0.06 (b) g (c) r (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2355 or 2308?\nAnswer: 2355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -23*b**2 + 5*b - 3. Let h be t(-4). What is the closest to 2\/7 in -1\/5, -3\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w*x**5 - 174*w*x**4 + 512*w*x**2 + x**2 wrt x.\nAnswer: 120*w*x**2 - 4176*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 323*d**2*g*j - d**2*j - 2*d*g**2 - 3*g**2*j - 4*g*j + 13*j + 2 wrt d?\nAnswer: 646*d*g*j - 2*d*j - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 890687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*y**5 - 27*y**4 + 1996*y**3 + 87280550*y?\nAnswer: 840*y**3 - 324*y**2 + 11976*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4803*s + 7965*s + 634*s + 8056*s.\nAnswer: 11852*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let m(i) = q*i**2 + 2*i**2 - i + 12 - 5*i**2. Is m(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 4106 + r + 0*r + 0*r.\nAnswer: 2*r + 4106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.379 years in centuries?\nAnswer: 2.61379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:45 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 362*m + 4. Let b(z) = 725*z + 9. Let u(d) = -3*b(d) + 7*s(d). Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45731 is divided by 794.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25162695 is divided by 2096891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 513\/1197 - (1117\/42 - 1\/6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*13\/(156\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 80. Suppose w - b = 17. Is w at least 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - -1*sqrt(75) - sqrt(75)) + sqrt(75) + 4)**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -25*d - 3. Let j(n) = -79*n. Let k(u) = j(u) - 3*o(u). Let w(x) = 5*x - 9. Give 3*k(t) + 2*w(t).\nAnswer: -2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59115.11 grams?\nAnswer: 59115110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**4 - 16*i**3 + 28*i**2 - 16. Let t(b) = -b**3 + b**2 - 1. Let g(y) = -j(y) + 16*t(y). What is the third derivative of g(n) wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -14. Find the third derivative of 4*i**k + 0*i**6 - 10*i**6 - 7*i**2 wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-52)\/(-24))\/(-13)*-2. Let w(q) be the first derivative of 0*q**2 - 3 - v*q**3 + 0*q + 1\/5*q**5 + 0*q**4. What is the third derivative of w(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -1149. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 3*h + 3. Let u be g(3). Suppose 4 - u = k. Let w(b) = 35*b**3 - b**2 - b + 1. Is w(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + q**2 + 3*q. Let p(u) = -3*u**3 - 4*u. Calculate -4*b(k) - 3*p(k).\nAnswer: k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -5 (c) -3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.2. Let x = -1.9 + 1.4. Let g = x - o. Sort 0.1, g, 0.2.\nAnswer: g, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88696?\nAnswer: 2, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from {o: 2, k: 2, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -1339166\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110705 is divided by 36898.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 587*u + 9166. Calculate x(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.4. Which is the nearest to -1? (a) 0.1 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98752457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2 + 7 + -6 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*7\/483*23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 21 - 55 - 1243*o to m*o + n and give m.\nAnswer: -1243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-226204.\nAnswer: 226204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -52. Suppose -4*t - 3*b + 2 = -h, -10 = -t - b. Suppose -3*a = -5*a + t. Solve -m + 2*x - 6 = -a*m, 0 = m + x + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -513*f + 2*f**2 + 1573*f + 2 - 549*f - 518*f. Let r(p) = -6*p**2 + 22*p - 5. Determine -11*l(d) - 4*r(d).\nAnswer: 2*d**2 - 11*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 13. Let z be (-15)\/1*4\/(-12). Suppose 0*t - z = -t. Solve 6*o - 3*o - 3*s = v, 21 = -o - t*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -19*g + 185038. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8136 and 956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*i - 3*i - 202, -2*l + 443 = 3*i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10365187 * -34.\nAnswer: 352416358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.3 + 10. Let y = -1121 + 1125. Which is the third biggest value? (a) 2 (b) v (c) y (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + ((1 - 0) + -14 - (351 - 310)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 1 - 8 - 3 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1117242 (base 10) to base 8\nAnswer: -4206072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/57)*y**(-8)\/y)\/((y\/(y\/(y**(2\/21)*y)))\/y*y)**(-5\/8) assuming y is positive.\nAnswer: y**(-8885\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112210021 (base 3) to base 4.\nAnswer: 111312220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - 3. Let s be 3 + g - (-1 - -3). Let i(t) be the second derivative of -7*t**3\/6 + t**2 - 3*t - 158. Calculate i(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -25 + (-301 - -315) + 0 + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11\/33*3\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3628 + -3624. Which is the nearest to 0.1? (a) 2\/15 (b) q (c) -358 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 455564.\nAnswer: 6377896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 - -12 - -81 - 10\/(-2). What is the highest common factor of 56 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 2*w**2 + w - 1. Let y(c) = 40*c**3 + 10*c**2 + 25*c - 4. Give 5*v(r) - y(r).\nAnswer: -35*r**3 - 20*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 - 19\/6*d**3 + 0*d + 43\/24*d**4 - 41*d**2 - 1\/60*d**5. What is the first derivative of y(t) wrt t?\nAnswer: -2*t + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 8*r**2 + 5*r + 4. Let d be q(7). What is the common denominator of 59\/24 and (-2)\/d - (3806\/60)\/(-11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137023 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w - 41*w - 33*w + 24 + 0*w + 12 + 123*w.\nAnswer: 3*w + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018147 to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 227.2. Let c = -35937585.2000021 - -35937590. Let s = u - c. Round s to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 163, 136, 117, 112, 127, 168, 241?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-7)))\/(q*(q\/((q*q**19\/q*q)\/q)*q)\/q*q) assuming q is positive.\nAnswer: q**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 4)\/(2\/24). Let n = q + 3. Solve -s = -6*s - n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 0. Let m = c - -6. What is the second derivative of -l**2 + 0*l + 4*l**m + 3*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:10 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - w = 13, 32 = 2*h + 2*h - 4*w. Suppose 68 = -o + h*o. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*h - 4, 5*c + 5*h = 204 - 209 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330 + 488 = -18*y. Let w = y - -2911. Round w to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -120021212122211201?\nAnswer: -120021212122211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030979184 to five dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 5*p**2 + 5*p - 7. Let d be r(-6). Let m(u) be the second derivative of -13*u**5\/20 + u**3\/6 + 2*u. Is m(d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 - 3*i**2 - 2*i + 10. Let k be w(5). Let j = k + 6. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288057.\nAnswer: 3, 7, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3087 = 21662. Suppose -s = -5*i - 4*w, -i - 4*i + 5*w = -3715. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879019647 to the power of 1\/3, to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*t**2*u**2 - 77*i*t*u**3 + 1477*i*t*u**2 + 41*i*u**3 + 2*i*u**2 - 3*t**2*u**3 + u**2 wrt u?\nAnswer: -462*i*t + 246*i - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.1514273 and -17776.\nAnswer: -17778.1514273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**10)\/z**(7\/5) assuming z is positive.\nAnswer: z**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 189940770*c + 3006458009016075.\nAnswer: 3*(c - 31656795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 - 2*x + 18 + 2*x + 2*x**2 + x.\nAnswer: 2*x**2 + x + 434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23543025 (base 6) in base 2?\nAnswer: 10110101110001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/24 and (-2)\/(1872\/(-230)) - 4\/(-18)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2) + (46\/(-7) - -5). Which is the nearest to -2? (a) d (b) -1\/6 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 2, 3, -5 in ascending order.\nAnswer: -5, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 23 - 2. What is the remainder when 18 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3182 = -3*b + 3244, 5*b = 110 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -249, -257, -277, -315, -377, -469, -597?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475606465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, s: 1, m: 6, l: 2}. Give prob of sequence ddl.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 82*l = 87*l + 50, -2*w + 4*l + 12 = 0. Suppose w*s = -s. Factor 0*b**2 + s*b + 0 + 2\/3*b**3 - 2\/3*b**4.\nAnswer: -2*b**3*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 17*u - 7. Calculate o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d*d*d*d\/(d*d\/(d\/d**12)))\/d)\/d)\/d)*d)\/(d\/((d**(-8)\/d)\/d)))\/((d\/(d\/d**(3\/4)))\/d*d**(-6)) assuming d is positive.\nAnswer: d**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*t - 1721 = 85, 0 = -2*u + 2*t - 3594. What is u rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let b(u) = -2*u**2 + 4*u. Let a(c) = -b(c) - 4*t(c). What is the first derivative of a(h) wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1545, -49 in ascending order.\nAnswer: -49, 0.1545, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/2184471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1200)\/sqrt(2))\/sqrt(2))\/(sqrt(36)*-2 - (sqrt(4) + (sqrt(576) - sqrt(4)))))**2.\nAnswer: 25\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1709\/285045?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times 6474\nAnswer: -10358.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g - 3*l, -4*g + 1064 - 1053 = -5*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.92 - -0.18.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.168 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 13. Suppose f + 7 = -34*b + 35*b, 6*f = -2*b + 6. Determine u(b).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 127941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + f + 3 = 0, o = 5*o - 5*f - 3. Suppose 16500008 = -n + 4*g, 3*n - o*g + 49499998 = -3*g. Round n to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6023127.67 to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 107, 116, 127, 140, 155, 172?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and 45.9907?\nAnswer: -2345.5257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 115.7. Let o = 17.6 + l. Which is the nearest to -1? (a) -0.5 (b) -17 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -2896719976.847.\nAnswer: -2896719977.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 611, -10, 27\/641 in ascending order.\nAnswer: -10, -1, 27\/641, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3158 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (180\/28)\/5 - (-6)\/(-21). Let m(z) = z**3 + 3*z**2 - 6*z + 4. Let b be m(v). Solve -l - b + 0 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62352215.73000129 + -62352218.5. Let n = -2.77 - k. Round n to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 13 = -3*a + 4*z, 5*a - z = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/30 and -151\/1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38297, 76223, 113407, 149477, 184061, 216787?\nAnswer: 247283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8650, -8641, -8618, -8575, -8506, -8405, -8266?\n\"Answer: a**3 + a**2 - a - 8651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.314 - -1.26. Round z to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 10*u - 17. Let i = -27 + 20. Let h be g(i). Suppose -v = -5*v - h*o + 148, o = 3. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, l: 5, g: 5, k: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 54. Suppose -4*m - 4*y - h = -9, m + 5*y + 4 = 0. What is the units digit of m\/16 - 66\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - k + 6 + (1 + 2 - 2)*(0 + 1 + 1)*(1 + 3 - 6)*(-1 + 3 + 0)*(8*k - 4 + 4).\nAnswer: -65*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/3 - 15*p - 196\/3 = 0. What is p?\nAnswer: -4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*326\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93.1 and -2.\nAnswer: 186.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 15*m - 7. Let t be s(-6). Let q = t - 43. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.47026671 + -0.15906071. Let f = -17.688929 - p. Let c = f - -58. Round c to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 10. Let y(z) = z**2 - z + 1. Let c(d) = -t(d) + 4*y(d). Let s be c(-6). Suppose 2*g = s + 6. Solve -f - g*f + 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/1 - 3\/(-1). Suppose -2*m + z + 323 = 329, 17 = -m + 4*z. Sort f, 0, m, -0.5 in decreasing order.\nAnswer: f, 0, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77613.\nAnswer: 3, 41, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3067, -2216, -791, 1214, 3805, 6988, 10769?\n\"Answer: d**3 + 281*d**2 + d - 3350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2804, 11263, 25362, 45101, 70480?\n\"Answer: 2820*c**2 - c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*u + 12. Suppose -u*z = -3505 + 231. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 470 = 0. Let l be v\/(-154) - (-18)\/(-42). What is the closest to -2 in -1\/2, l, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*21\/(-4788)*54.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -12*y**4 + 37*y**3 - 357*y - 7. Let q(s) = -13*s**4 + 34*s**3 - 358*s - 6. Let i(u) = -7*q(u) + 6*w(u). What is the second derivative of i(t) wrt t?\nAnswer: 228*t**2 - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/p**(2\/5)))**(-3\/23)*p**16\/(p*(p\/(p**(-1\/18)*p))\/p) assuming p is positive.\nAnswer: p**(33437\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, d: 2}. Give prob of sequence kdkk.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -937, -1335, -1635, -1807, -1821, -1647?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v + 4*v + 5 + v - 5 + (-v - 7*v + v)*(-1 + 3 - 3).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1161 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*2*(4 + -5). Let g(u) = 4*u**2 - 5*u - 6. Let n(a) = -3*a**2 + 4*a + 5. What is h*g(j) - 6*n(j)?\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -18611*f**4\/2 + 2*f**3\/3 + f**2. Let b be k(-3). Round b to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460199018.\nAnswer: 2, 211, 1090519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-32)\/(-6))\/(27\/243). Let h be 474\/k - (-74)\/(-481). Suppose 0 = 5*q + 4 + 1, 33 = 4*r - 5*q. Solve 3*m + 2*c = r, -8*c = 2*m - 3*c - h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:24 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 7376.4.\nAnswer: -7350.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14840 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1446.5 + -1442.5. Which is the nearest to 5\/4? (a) d (b) 10 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18.23. Let n = r - -0.13. Which is smaller: n or 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 856*s**2 - 53760*s - 811008.\nAnswer: -4*(s + 22)*(s + 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:15 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 5 (b) 16 (c) 0.11 (d) 0.074 (e) -41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 381290756 and 4532.\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5902360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 9*h**2 - 11*h + 19. Let n be a(10). What is the tens digit of -3 + 3*(-3 + 204\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200.000042 - 200. Round b to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*u**2 + 10*u**2 - 28*u**2 - 3*u**3 - u**3 + 2*u to c*u**2 + q + f*u**3 + a*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 10431?\nAnswer: -10435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -0.85. Let k = -0.09 - v. Sort 0.5, k, 2\/7 in descending order.\nAnswer: 0.5, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-18))\/((-500)\/(-240))*(-30)\/(-282)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110111100010110010 (base 2) to base 16.\nAnswer: f78b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 91*p**2 + 883*p - 207. What is b(80)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrtrrotptpprrro. What is prob of picking 1 o, 1 p, and 1 t?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28848452.\nAnswer: 2, 617, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -573*h**3 - 12*h**2 - 286*h - 2. Let b(j) = 2*j**2 - 2*j. Let y(p) = 6*b(p) + t(p). What is the second derivative of y(q) wrt q?\nAnswer: -3438*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/9*48861\/108580.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7528 and 512?\nAnswer: 481792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8222195*f**2 - 761955*f wrt f?\nAnswer: 16444390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {f: 2, j: 2, u: 2, n: 2, d: 4, a: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:21 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -3, -7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:24 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a + 19 = 24*a + 2*x, -a + 4*x = -11. Let t(y) = y**3 - 6*y**2 - 5*y - 8. Let w be t(a). Solve -w*r - 36 = -6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 2*h**5\/15 + h**4 + 26*h**3\/9 + 4*h**2 + 8*h\/3 + 101. Factor w(i).\nAnswer: 2*(i + 1)**2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -846982.34 take away 12084?\nAnswer: -859066.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197680.5 + -197681. Let v = -1122164\/77 - -14574. Let a = v - 8\/11. What is the third biggest value in -5, 4, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**4 + 2*o**3 - o**2 - 1. Let i(z) = 55*z**4 + 14*z**3 + 11*z**2 - 14. Let f(w) = -4*d(w) + i(w). What is the third derivative of f(q) wrt q?\nAnswer: 1896*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 625*l\/6 + 1821.\nAnswer: (l + 18)*(l + 607)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 41*u + 2. Let a(w) = -144*w - 7. Let y(c) = 8*a(c) + 28*h(c). Let r(m) = 2544*m. Calculate r(y(d)).\nAnswer: -10176*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 725*i**3 + 78*i**3 + 167*i**3 + (-3 + 3 - i**2)*(3*i + 1 - 1).\nAnswer: 967*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173475535 by -5.\nAnswer: -34695107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3125*w = -2305*w + 21320 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*i + 141*i**2 - 42 + 12 + 42*i.\nAnswer: 141*i**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by (12 + -2)*69\/115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x - 5 = n, 9 = -4*n - x. Let i be 4331\/213 + n\/(-6)*-1. Find the second derivative of i*k**3 - 13*k - 11*k + 44*k wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.02182 - 0.941. Let b = -0.0915 + a. What is b rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -108, -6, -1, -5 in increasing order.\nAnswer: -108, -6, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7556 - 2.75. Let r = a - -0.3944. Sort r, -4\/5, -2\/9, 2 in increasing order.\nAnswer: -4\/5, -2\/9, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 25858*j**2.\nAnswer: j**2*(j + 25858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 57*r - 467. Calculate the least common multiple of a(7) and 309.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 46 = -36, -3*l - 133*k + 129*k - 152 = -3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 2, x: 10}. What is prob of sequence xm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/13856777?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 23 - 5 = 0. Calculate the least common multiple of t and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/12 + s**3\/3 + s**2\/2 + 2*s - 10. Let t(x) = -4*x**2 + 13*x + 1. Let v(r) = 5*d(r) - t(r). Determine v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:49 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/4)*w\/((w\/w**(-3\/2))\/w))\/((w**(2\/7)\/w)\/(((w*((w\/w**(-1))\/w)\/w)\/w)\/w)))\/(w**(-6)\/(w**4*w)*w**2*w\/(w**(3\/5)\/w)) assuming w is positive.\nAnswer: w**(1199\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 295, 670, 1195, 1870, 2695, 3670?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1*1 + 5. Suppose s = -3, -6*z = -z - t*s + 8. Sort -5, z, 0 in decreasing order.\nAnswer: 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83379 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 675995771 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9465*b + 9454*b + 41 = 8. Solve 5*l = -5, 153*h + b = 157*h + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 978 + -973.79. Let f = k + -1.21. What is the second biggest value in -1, f, -7\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/19376 and -143\/3210?\nAnswer: 31098480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 + 40\/90. Which is the closest to -2\/39? (a) -1 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 521 = 3*k. Let g(y) = -8*y + 5. Let u be g(8). Let p = u - k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0, 4, 3.\nAnswer: -4\/3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((5 - 6)\/6). Let n(j) = -j**2 + 8*j + 5. Let t(a) = 3*a + 11. Let r(y) = y + 4. Let d(k) = 8*r(k) - 3*t(k). Give s*d(v) - n(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 67?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**3 + z**3 - 4*z**3 - 4*z - 4*z**3 to the form i*z**3 + x + y*z + b*z**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.05 + -33. Let p = 0.05 - y. Which is the nearest to p? (a) 2 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let m = -779.6 + 780. Which is the smallest value? (a) n (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 5341600128361?\nAnswer: -5341600128360.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iittattahapqt. What is prob of picking 1 i, 1 a, and 1 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 7\/12. Calculate the common denominator of w and (-176)\/6*(-2)\/24.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 75, 42, -29, -150, -333, -590?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*f = -430*f - 5*n - 15, 2*n = -5*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147514 is divided by 443?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/18)\/((-270)\/9690) + 6. Let y(s) be the second derivative of 0*s**2 + o*s**4 - 2*s + 0 - 2\/27*s**3. Find h such that y(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(35\/(-13)))\/(4\/100*5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:25 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 1659\/84 - 21\/52\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1962 or 1964?\nAnswer: 1964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9247, 0, 236.\nAnswer: 0, 236, 9247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 232*f\/5 + 6728\/5.\nAnswer: 2*(f - 58)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 150 = 0. Let c be (2\/(-5))\/((-2)\/y). Let w(x) = -x**3 + 11*x**2 - 6*x - 3. Is w(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-29)*(-2)\/18)\/((-8)\/6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 416 and -0.0404.\nAnswer: -16.8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w + 18. Let t be v(0). Suppose 2 = -d + 5. Let f = 5 - 5. Solve d*q + t + 13 = -5*s, -3*q - 6 = f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 12, 20, 0, -1 in increasing order.\nAnswer: -1, 0, 12, 20, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 1238112.\nAnswer: 1238112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -5) + -8 + 0 + 24. Let j = 20 - s. Suppose -2*k + c + 1736003 = j, 2*c + 4340006 = k + 4*k. Round k to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.46 - -15.24. Let w = -186 + 202. Let q = x - w. Put q, 1, 0.2 in descending order.\nAnswer: 1, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 + 137.1. Which is smaller: q or 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29144207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -22, 3, -1, -10, -2 in ascending order.\nAnswer: -22, -10, -2, -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 2 - 5 + 3 - 15 + 15 - 25*l - l + 1 - 1 + (2 + 2*l - 2)*(3 + 0 - 2) + 0*l + l - 3*l to w + q*l and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -120945210 divided by 28694\nAnswer: -4215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 + -259. What is the smallest common multiple of 84 and z?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8933237940 to the power of 1\/3, to the nearest integer?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.8 (b) -48 (c) 3\/2 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 10. Let o be z(-6). Let d(x) = 3*x + 3. Let n be d(o). Solve 9*y - 4*y + n = 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 {c: 3, e: 8, r: 2, q: 3}. What is prob of sequence rrec?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 7*x + x)*(-5*x + x + 2*x) - 2*x**2 + 0 + 0.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*h + 716*h**3 - 718*h**3 - 5 + 65*h**2 + 75*h to the form g*h**2 + z + x*h**3 + q*h and give g.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28098791 is divided by 383?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 5*r - 17. Calculate d(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15) - (3 + (-72)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvvtttv. What is prob of picking 1 t and 1 v?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 811194, 811198, 811202, 811206, 811210, 811214?\nAnswer: 811218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and 27\/5031499.\nAnswer: 10062998","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 363, 540, 715, 888?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 238810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 68*k**2 - 252*k + 324.\nAnswer: -4*(k - 1)*(k + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smscscmcssscssmscms. Give prob of picking 2 m.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19681 is divided by 97.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2174.2 and 0.3.\nAnswer: -652.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/11858 and 19\/32116.\nAnswer: 27202252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 97. Suppose 5*k = -5*g, -5*g - t - 6 = 3*k. Let n be (-2 + -6 - g)*10\/6. Put 4, 2, n in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44 and -286620.2?\nAnswer: 286576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 29*r - 57. Let j be g(27). Let i be (-5)\/(5 + -3 + j). Solve -2*f + 3*o = 21, -f + i*o - 23 = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11724971, 23449942, 35174913?\nAnswer: 46899884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 8*p - 3*z + 16, -20 = 2*p - 4*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 20*b + 24. Is 5 a factor of t(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3 = -2*g, -3*a - 13 = -2*g + 8. Suppose 0*w + 756 = 84*w. Calculate the greatest common factor of w and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100111 - -10101?\nAnswer: -1111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -11448 in descending order.\nAnswer: -3, -11, -11448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 11 + 0)*(-1125 + 1125 - 72*l).\nAnswer: -4176*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*14\/(1260\/(-25)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-6)\/12))\/((-10)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s - 10. Calculate the least common multiple of p(6) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 - 799282*l**4 + 159715326712*l**3 - 958272777584*l**2 + 1916532766736*l - 1277684248352.\nAnswer: (l - 399638)**2*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2952)\/9840)\/(6\/20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -11*a**4\/8 + 4*a**2. Is v(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3.1. Let m = -196 - -199. Which is the smallest value? (a) r (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -125*k + 471. Let v be c(3). What is the highest common factor of v and 5408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1476503 - -4?\nAnswer: -1476477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - (-23176552)\/32 - (-4)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 16) to base 8\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128.81 - 128.2759. Let v = -32.7581 + c. Let n = v - -32. What is n rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 2, -2, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 33844164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3\/3 + 26. Let a(k) = -21*k**2 + 1. What is a(u(h))?\nAnswer: -21*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + -2 + (-206)\/(-40) and (-65)\/(-16) + 1 + -1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z - 85. Let h be (-6)\/4 + z\/(-14). Which is the nearest to h? (a) 0.1 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let k(f) = 5*f**2 + 4*f - 2. Let b(i) = 3*i**2 + i - 1. Let m(j) = -b(j) + k(j). Let c(d) = -d**2 - 2*d + 1. Give q*m(a) - 6*c(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4071597206 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 7.7. Sort 5\/6, -4\/3, q.\nAnswer: q, -4\/3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*b + 2)*(2*b**2 + b**2 - 5*b**2) + 6*b**3 + 18*b**3 + 10*b**3 + b**3 + b - b + (2 + 3 - 6)*(0*b**2 + 0*b**2 + 2*b**3) + b**3 + 2*b**3 + 2*b**3.\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:37 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 c when four letters picked without replacement from cuucuccw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4613?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91801, -183175, -274549, -365923, -457297, -548671?\n\"Answer: -91374*d - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281087\/71 + 3959. What is the nearest to 11 in 0.5, y, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c - 6 = 0. Let m = c - 0. Suppose v**5 - 3*v**3 + v**4 + v**2 + 2*v**3 - m*v**2 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*v**2 - 11*v**3 - 14*v**2 - 4*v**3 - v**3 wrt v?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3) + 1)*(-4)\/(-56). Which is the third biggest value? (a) h (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + 51\/135. Let i(w) be the second derivative of 0 + j*w**5 + 5\/27*w**3 + 1\/9*w**2 - 2*w + 4\/27*w**4. Factor i(k).\nAnswer: 2*(k + 1)*(2*k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 94*h**2 + h. Let j(o) = 8*o**2. What is c(j(g))?\nAnswer: 6016*g**4 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -16218.05 to the nearest 100.\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 65*a - 125. What is x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 31, 95, 215, 409?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:32 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 176.486. Let s = t + 0.014. Let p = -1.1 + 0.1. What is the nearest to p in s, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*y**2 + 466*y**2 - 1423*y**2 - 6*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 11*z - 49 = 0, -h + 48*z = 41*z + 5 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.86 - -266235.5?\nAnswer: 266226.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 421*a - 2539. What is u(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:10 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.036 - 4.964. Let s = z - -5.5. Which is the closest to -3? (a) 3 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1029.546.\nAnswer: 3088.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:26 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 5. Let x(z) = -3*z + 1. Let r = -772 + 768. Let c(a) = 19*a + 7. Let p(f) = r*x(f) - c(f). What is 7*n(l) + 3*p(l)?\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 395573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/21 (b) -2\/11 (c) -2\/13 (d) 0 (e) -4 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4 and -7\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 5*i - 35, 1178397 = z + 5*i + 1178362 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = 0, -z + 5*j = -7 - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(35\/(-3)))\/((-46224)\/47936)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 228899, 228876, 228831, 228758, 228651, 228504, 228311?\n\"Answer: -k**3 - 5*k**2 - k + 228906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (0\/(-2))\/(-3). Let b = -8 - -7. Put q, 3, b in increasing order.\nAnswer: q, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/1352776?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8484 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-705)\/2538*176\/(-40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39495783827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.611025 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 108905.\nAnswer: 217810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 2*y**3 + 0*y**3 + 3*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 24*f**2. Let p(u) = u**2. Calculate -20*p(b) + 2*y(b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468439809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19\/(g\/(g\/(g*g\/(g**(-2\/61)*g)))))**(-12) assuming g is positive.\nAnswer: g**(-13152\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + s = 14, 6*c - 1388*s + 18 = -1386*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 290*f - 4200.\nAnswer: -5*(f + 28)*(f + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/36 and (216\/(-20))\/((-2)\/(-2)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = -4*a + 8, -4 = -4*a + 2*o. Let z(b) = b**3 - b**2 + 10*b - 16. What is the remainder when z(2) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 60*n - 2. Let s be c(0). Let t = s - 25. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**3 + w**2 - 5*w + 3. Let v be f(1). Let p be (-2)\/2*(-4)\/(-80)*v. What is the nearest to -0.3 in 4, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.1. Let m be ((-1)\/4)\/(22\/8294). Let j = m + 94. What is the nearest to j in -0.4, -2, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/270*3 + 2837\/(-15). Let m = 117 + r. Let q = m - -70. Which is bigger: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(108)*-4 - (sqrt(12) - sqrt(132)\/sqrt(176)))\/((-2*sqrt(40))\/sqrt(10) - sqrt(32)\/(-2*sqrt(8))).\nAnswer: 47*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 + -89. Let a = -97 + q. Let i = -27 - a. Solve 0 = -2*f - 3*v - 17, -21 = f + i*v - 3*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -661*x - 20770 + 20770 to the form h*x + m and give h.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8132400 is divided by 1039?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 7*v**2 - 24*v + 18. Is 21 a factor of r(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202590 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i - 7*i + 12*i)*(-4*i**2 + 4*i**2 - i**2) + i**3 - 4*i**3 + 0*i**3 in the form v*i + w*i**3 + l + q*i**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 402*k + 2010. Let f be s(-5). Solve 4*i + 4*q + 5 + 11 = f, -3*i - 5*q = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72288?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0. Let y = p + 0.72. Round y to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + f**2 + 4*f + 0*f. Let x(p) = 2 - 2 + 30*p**2 - 32*p**2. What is b(x(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*r + 92 - 144, 0 = -2*r - 2*o + 32. Suppose 0 = -z - 5*l + 18, -3*l + 50 = z + z. Let w = z - 10. Calculate the highest common divisor of r and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w + 1, -3 = -4*y - 5*w. Let o = 271\/9 - 1415\/18. What is the common denominator of ((-5)\/(-6))\/(y\/9) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*n**3 - 9736960*n**2 + 9736945*n - 2434235.\nAnswer: 5*(n - 486847)*(2*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 49. Let q be u(25). Which is the second smallest value? (a) q (b) -2\/13 (c) -150\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u - 11 = -119*u - 3*b, 0 = -5*u + b + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (1 + 0)) + (-17 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (10 - (-90)\/(-10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -6246\nAnswer: 18738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q + 2. Let g be p(5). Let o = g + -39. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, 9.2, 11\/8, 4.\nAnswer: 11\/8, 4, 4.2, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*u - 188 - 111. What is the highest common factor of u and 1329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*z - 40 - 170 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133.919 + 134. Let w = q - 0.07. Round w to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 824 - -3?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/2005 and -67\/35.\nAnswer: 14035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from fhhfhhbhhfhhhf?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -1, -2 in descending order.\nAnswer: -1, -2, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 98. Let h be j(-31). What is the third derivative of -66*k**5 - 65*k**5 + 147*k**h - 46*k**2 wrt k?\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -145 (b) 10 (c) -8 (d) 0.3 (e) -0.105\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + -26 - (8 - (-6 + 16)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1554 - 6*m + 1554.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i - 1. Let a be t(-5). Let y(c) = -2*c - 30. Let m be y(-25). Find the common denominator of (a\/2)\/(m\/710) and 41\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1673031l in millilitres?\nAnswer: 167.3031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/33)\/((2\/444)\/((-5)\/(-10))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25109.\nAnswer: 7, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 42412.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-one halves of a millennium?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a + a + 5*a + 68*a)*(4*a + 0*a - 2*a + (-1 - 2 + 1)*(-2*a + 4*a - a) - a + 3*a - a + 191 - 191 - 19*a) - 2*a**2 - 3*a**2 + 6*a**2.\nAnswer: -1673*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14331 + -14330. Put 0, 4, x, 335 in ascending order.\nAnswer: 0, x, 4, 335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312 + -11?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-156)\/(-832))\/(17\/272). Factor -b**i - 1\/2*b**2 + b**4 + 5\/4*b - 1\/4*b**5 - 1\/2.\nAnswer: -(b - 2)*(b - 1)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -b - b + 26, 51 = 3*b - s. Suppose 0 = -m + 10 + b. Calculate the remainder when m is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**4)\/w)**(37\/2)\/((((w\/w**17)\/w)\/w)\/(w\/(w**18*w))))**(-1\/13) assuming w is positive.\nAnswer: w**(-185\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 122 + (125 - (128 - 11))\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 7*y - 46 = -3*b, 252*y + 46 = 251*y + 4*b for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6525 and 97121?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 - 9*m. Let v(d) = 14*d**3 + 26*d. What is 11*g(h) + 4*v(h)?\nAnswer: h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17457.64 micrometers to millimeters.\nAnswer: 17.45764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(243) - (-1 + -1 + sqrt(243) - sqrt(243)))*-6 - -5*sqrt(243)*2*-1) + -3)**2.\nAnswer: 5760*sqrt(3) + 62608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5435, 10933, 16433, 21935, 27439, 32945, 38453?\nAnswer: 43963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 4*b - 4\/3*b**3 - 2 + 1\/4*b**4 + 3\/2*b**2. Let l be c(3). Let s(g) = -g**3 + 3*g**2 + 3*g - 4. Give s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192299331 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - 8*o**2 + 19*o**2 - 52*o**3.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3565118.\nAnswer: 2, 1782559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 25*a - 30*a - 3.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 5, -206, -491, -844, -1259, -1730, -2251?\nAnswer: -2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -9, 16, -18.\nAnswer: -18, -14, -9, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 + 3097365*g - 3078620*g + 4 to l*g + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 4196*w + 15405614.\nAnswer: 2*(w + 7343)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in -5, -7, -9, 4.3, 4?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 839*o + 11306 wrt o?\nAnswer: 839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1196 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27525755 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 23546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 748390 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 1142442*q**2 + 5*q + 4*q**3 - 2*q.\nAnswer: 4*q**3 + 1142442*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (15\/3 - 4). Let r(a) = 4*a + 6. Let v be r(6). Let g be v*(c - 17\/3). What is g rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4))**(-1\/45)\/(g*g*g\/(g\/((g**(9\/8)\/g)\/g)*g*g)*g*g**(-3)\/g) assuming g is positive.\nAnswer: g**(281\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 1294, 2806, 4926, 7666, 11038, 15054?\nAnswer: 19726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:27 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 12, 0 = g - 4*g + 3*u + 129. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51721.\nAnswer: 51721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(162)) + 2 + sqrt(162) + -1 + sqrt(162) + sqrt(162) + -4)**2.\nAnswer: -252*sqrt(2) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 19*v + 47*v - 13*v - v**3.\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369837752 is divided by 754?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 11. Suppose 5*c + 18924 = x*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 38*j**2 - 6*j**3 + 4*j**3 + 0*j**3 - 42*j**2. Let w be o(-2). Calculate the lowest common multiple of (w + 4)*(-119)\/(-68) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -119, -158?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 3*x**3 - 188 + 104.\nAnswer: 3*x**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((((-7)\/(-63))\/((-28)\/(-126)))\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*p + 29, -616*b + 2*p = -1273*b + 639*b - 28 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 - 21*k**3 - 115 + 115 + 28*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**18*w*w\/w**(-4\/11)*w)\/((w\/w**(-2\/23))\/(w\/(((w**(-14\/5)\/w)\/w)\/w))) assuming w is positive.\nAnswer: w**(35517\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 307 + 3176*r + 436 - 2689*r with respect to r.\nAnswer: 487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:32 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i - 20*i + 12 - 28*i + 73*i. Suppose -p = l + 1, 3*p - 2*l + 0*l = 2. What is f(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Let n = -73 - -115. Let c(a) = n - 42 + 20*a. Calculate w(c(b)).\nAnswer: 400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -323.6\nAnswer: 7766.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 2*m**5\/15 + m**4\/8 - m**3\/3 + 2422*m**2 + 2*m. Let o(z) = -40*z**2 - 16*z + 11. Determine 11*h(q) + 2*o(q).\nAnswer: 8*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1528 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1148 * 0.03\nAnswer: 34.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22911 - 8016. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + k + 0*k. Let v(r) = r**2 - 21*r + 93. Let o be v(6). Let m(w) = 7 + 10*w**2 - o - 7 + 3. Calculate c(m(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57017 is divided by 1896?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -26*x. Let j(a) be the third derivative of 0*a**3 + 1\/8*a**4 + 11*a**2 + 0*a + 0. Determine j(l(w)).\nAnswer: -78*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 197*f + 12. Let n be k(7). Suppose -3*y - n = 4*i - 304, i + 4 = 0. Let o = -243 - y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3\/21 + (-5529)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 16, d: 4}. What is prob of picking 4 w?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t. Let s(h) = 8*h**2 + 2*h - 2. Suppose -63*x - 26 = 37. Determine x*s(g) + 6*b(g).\nAnswer: -2*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 2, x: 2}. What is prob of sequence tn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/57274 and -27\/130912.\nAnswer: 916384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -204*c - 51. Let y be r(-3). What is the greatest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-358)\/8*(-1292)\/2. Let z = 11770 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568189 is divided by 100.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34577 - -75416. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/13 + 4092*v**2\/13 + 2094882*v\/13 + 2090792\/13 = 0 for v.\nAnswer: -1033, -1012, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 188*g**2 + 14*g + 694. Let x(j) = 96*j**2 + 6*j + 347. Let h(d) = 3*f(d) - 7*x(d). What is the derivative of h(y) wrt y?\nAnswer: -216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 21*m - 88 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2289, 20, 5, -4, -2, 0, 2 in increasing order.\nAnswer: -4, -2, 0, 2, 5, 20, 2289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8283123 divided by -8283123\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211731 and 2301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x - 7*x + 5*x**2 - 9*x**2. Let y(q) = 47*q - 26*q + 1 - 25*q - 13*q**2. What is -7*a(w) + 2*y(w)?\nAnswer: 2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 496*f - 30736. Let p(z) = z**2 - 8. Let o(v) = -c(v) - 2*p(v). What is s in o(s) = 0?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2388 + -3853. Calculate the common denominator of 1\/(-5) - a\/(-550) and 53\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/4 + 2*o**3\/3 - o**2 - 2*o. Give x(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 27 + 6. What is the units digit of (-14)\/x*(-135)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 9.4, 1, 6 in increasing order.\nAnswer: 0.3, 1, 6, 9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -0.08.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74, 40, -52, -232, -530, -976?\n\"Answer: -5*h**3 + h**2 - 2*h + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 11*j + 13. Let v be p(10). Suppose 31 = h - 2*s - 3*s, -v*s + 57 = 3*h. Find the second derivative of 5*x + 17*x - 2*x - h*x**5 wrt x.\nAnswer: -420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110397371?\nAnswer: 7, 17, 927709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:52 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 942.\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 16*k + 21 + 95 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10294, -21320, -32346, -43372, -54398?\nAnswer: -65424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31144711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u**3 - 3*u**2 + 3. Suppose 5*w - 15 = 0, 128*a - 130*a + w = 9. Let i(n) = n**2 - 1. What is a*i(m) - t(m)?\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46439694 divided by -19863.\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 776\/64)*((-546)\/(-140) + -4)?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -810.\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 8, p: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*l + 26*l - 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/3 (c) -1 (d) -43 (e) 2\/9 (f) -13\/21 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44, -52, -64, -80, -100?\n\"Answer: -2*o**2 - 2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/((-4480)\/2900))\/(10\/(-12))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102202110211101 (base 3) to base 14\nAnswer: -b893d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11883 is divided by 1176.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3417 divided by -51\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -374*l + 370*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -801 + 1368. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(20\/16)\/5*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30079160 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (168\/13860*418\/399)\/((-2)\/(-14)*2)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.009936 + 0.01. What is y rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqppuuksoup. What is prob of sequence usoq?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/14)\/((-16983)\/13986).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 - 1406\/9. Let s = 1.1 + -0.1. Let n = s - -3. Put n, 0.2, y in increasing order.\nAnswer: y, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(34)\/(sqrt(2) + (sqrt(2) - sqrt(32))) - sqrt(17) - (sqrt(17) - (-3 + sqrt(68)))) + -3*sqrt(17)*-3 + (sqrt(17) - sqrt(51)\/sqrt(108)).\nAnswer: 28*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(66\/15 - -1). Let y(w) = -36*w + 111*w + 141*w - d*w. Let z(i) = -i**2. Give y(z(n)).\nAnswer: -189*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + 94a?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (59 - (-16 - -34)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/108 - (0 + (-10372)\/(-10032) + -1) and 40\/437.\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-450017)\/(-60) - (-1)\/(-5). Let j = p - 7491. Find the common denominator of 6\/(-30) - 553\/(-90) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 - (-6 - -4). Suppose -25*b = -24*b + 5. Put b, -1, q in increasing order.\nAnswer: b, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9991416 millilitres to litres.\nAnswer: 0.0009991416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/2 - -3)*0. Suppose -4*w - 587 - 540 = -5*m, 4*m - 2*w - 898 = v. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -41. Suppose a*w - 2*r = 7*w + 6, -6 = 2*w + 2*r. Suppose 8*x - 24 = -w*x. Solve -x*u = -4*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/15)*f)\/f*f**4)\/((f\/(f*(f**19*f)\/f*f))\/f**(2\/9)))**(4\/7) assuming f is positive.\nAnswer: f**(652\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -89. Does 16 divide ((-2 - -1) + -177)*h\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/(((o\/(o**(3\/8)*o))\/o)\/o)))*o\/o**(2\/13)*o\/o**(2\/11)*o**(1\/4) assuming o is positive.\nAnswer: o**(6051\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.216? (a) 36 (b) -9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(((-3)\/(-699))\/((-3)\/9)). Suppose -r = -6*m + 175. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13133.68ng to micrograms.\nAnswer: 13.13368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -3 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 2*v - 2. Suppose 8*d - 4*d + 28 = 0. Let o = -9 - d. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2844\/(-198) + (33\/55)\/((-99)\/(-60))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 11826?\nAnswer: 59130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 + -0.4. Let l = -818\/5 - -163. Suppose 7*y = y - 30. Which is the nearest to 2? (a) z (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 239 + 12932?\nAnswer: 13171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 327*f**2 + 449*f**2 - 5*f**2 to the form i*f + w + d*f**2 and give d.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -30*x**3 + x**2 + 3*x - 2. Give c(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 - 8*l**2 + 11*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 + -92. Calculate the highest common divisor of 70 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*w + 77 = 0, 4*h - 71 + 13 = -2*w. Suppose -h*g = -9*g. Is g <= 2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22049, -44096, -66143, -88190, -110237, -132284?\nAnswer: -154331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (-4*(1*sqrt(187) + sqrt(187) - sqrt(187)) - sqrt(187)))*1)\/(3*1*sqrt(396)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -335707 + -4a?\nAnswer: -335755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312800 and 1063200?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/136 and 57\/340?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*l - 7, 2341*l + 5*d = 2343*l - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9519, 9580, 9703, 9906, 10207, 10624, 11175?\nAnswer: 11878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -23\/42 and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let l = 264 + -254. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1285371 and 6828?\nAnswer: 5141484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093030 is divided by 156?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/127 and 34\/19956145.\nAnswer: 19956145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 39, 34, 27, 18, 7, -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -289. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 56*y**3 + 144*y**2 - 136*y + 44.\nAnswer: 4*(y - 11)*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 (base 11) in base 14?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 16926921.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5 + 9. Solve 4*i + 0*o + o = -d, -3*i + 12 = -5*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62517)\/(-2184) + -1*18. Let n = -743 - -3001\/4. Solve 53\/4*o**3 - h*o**4 - n*o**2 + 13\/8*o - 1\/8 + 25\/8*o**5 = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (6 - 3)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 7, p: 1}. What is prob of sequence zpz?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 282.7. Let j = 0.265 - k. Is j smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48176621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, u: 7}. Give prob of picking 2 u.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*a = a - 12, 7 = m - 2*a. What are the prime factors of m - -24 - (5 + -9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momooooxxxmmoxooo. What is prob of picking 2 m and 2 x?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139507.\nAnswer: 83, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, p: 2, d: 2, o: 5, z: 1, v: 1}. What is prob of picking 1 v and 1 d?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose -u + a*u - 280 = 0. Calculate the remainder when u is divided by -6*(-2 + -1 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3 - 2461*w**2 + 1129414*w - 12127104 = 0. What is w?\nAnswer: 11, 594, 1856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4956000 rounded to the nearest one hundred thousand?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7712892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 283987, -0.4, 2\/5, -3?\nAnswer: 283987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 - 68*y - 57*y - 17*y - 11 + 14 - 4 as d + z*y**2 + q*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.5 or 2\/7?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6\/12 + -1 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0323 * 0.18.\nAnswer: 0.005814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 1 q when three letters picked without replacement from xxrxxxxqx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 107.9. Let c = 55 - 60. Let m = o - c. Sort 1\/5, m, 4.\nAnswer: m, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 11075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10 = 2*v, 0 = -3*v + 4*p + 22 + 3. Suppose -3*l = -v*s + 18, -2*s - 8 = 5*l + 8. Let q be -2 + 3 + 3 - (s - 2). Let w(a) = -a + 4. Give w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 + 7*j**3\/3 - 3*j**2 + 8*j. Let f be l(-13). Let q = f + 28. What is the greatest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 18954 - 18954.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94\/91 + (7 - 8). Let h be 1\/(-8) - 1706\/13104. Let i = h + x. Which is the nearest to i? (a) -3 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007330595 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1668 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let s(t) = -4*t + 8. Let j(k) = s(k) + 3*y(k). What is the units digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -12532 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbubu. Give prob of picking 3 b and 1 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from vvovvvvvvoovovvvvvov.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r - 30*r + 27*r - 38*r as o*r + t and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (40\/80 - (-5)\/(-6))*-939 and 9.\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -12)*3\/(-4). Solve -8 = 3*b - 4*f, -5*f - w = b - 0*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 91 = 43. Suppose -12*h + 204 = -v*h. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(90\/(-70) + -3 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o - 3. Suppose -3*g + x - 3737 = 0, -2*g - 619 = 4*x + 1849. Let c = g + 2373. Let i(m) = 1129 + m - c. Calculate y(i(j)).\nAnswer: -10*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 603091340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 403\/5 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 (base 14) in base 8?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -6. Suppose i*q - 2*q + 20 = 0. Which is the closest to 0? (a) q (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405*-1541.2\nAnswer: -624186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1012 + 4038 - 1011 - 1004 + 512*a - 1013.\nAnswer: 512*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-340)\/(-8))\/(2\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 7 = -b. Let q = 27 - b. Let r = 17 - q. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = -5*o. Let q = 9 - 4. Suppose 5*r = 23 + 167. Solve o*j + q*x + 9 = r, -3*x = -2*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 31?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033729 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17311460 is divided by 10024?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*j + 1266, 6*j - j = -d + 663. List the prime factors of d.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/21477111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/2 - z**2 - 15*z. What is the first derivative of p(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6705348151 - -1019226795725\/152. Let d = -91294 + n. Calculate the common denominator of 65\/24 and d.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**35*l*l*l**31\/l*l*l*l assuming l is positive.\nAnswer: l**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220112011022 (base 3) to base 8.\nAnswer: -1656632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193085 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:50 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v + 15 = 0. Let m(f) = 64*f + 336. Let g be m(-5). Sort g, 4, v in ascending order.\nAnswer: v, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t + 53. Let d(j) be the first derivative of j**3\/3 + 1452. Calculate d(n(l)).\nAnswer: 25*l**2 + 530*l + 2809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*g + 12 = 0, 2*k - 575 = -5*g - 584 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4) - -2)*(60 - 48). Sort -0.3, -5.5, l, 0.1 in decreasing order.\nAnswer: l, 0.1, -0.3, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, 5.\nAnswer: 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 680 divided by -70117\nAnswer: -680\/70117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 5 - 10) + 9 - (-25 - -6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3639 - -5318?\nAnswer: 8957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 14*n**5\/3 + 44*n**4\/3 - 68*n**3 + 208*n**2\/3 - 50*n\/3 - 4 = 0?\nAnswer: -6, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.3. Let y = 0.1 + -5.1. Let u = -0.42 - -0.02. Which is the closest to 0.1? (a) y (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11169*w + 9393125. What is j(-841)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, -4, 5.\nAnswer: -4, 5, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61132606 is divided by 5421?\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -af8d (base 16) in base 12?\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 395395 and 1114295?\nAnswer: 12257245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109615.998 rounded to the nearest one thousand?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1618 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 145 + 134*i**3 - 288.\nAnswer: 134*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 19666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37990 * -2080\nAnswer: -79019200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 6. Suppose -k - 3*y = -11, -o*k + 4*y - 21 = 3*k. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04651 - 575390322.\nAnswer: -575390322.04651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 18, 3, -3 in increasing order.\nAnswer: -3, -2, 3, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 + 159 = -7*a. Let k be 609\/a - (-11)\/(-40 + -4). What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127124172 rounded to five decimal places?\nAnswer: -0.01271","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m**2 + 2*m + 1. Let r = -374 + 485. Suppose 32*j - r = -47. What is i(j)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -22, 0, 7 in increasing order.\nAnswer: -22, -5, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110879.825 plus 2326?\nAnswer: -108553.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Which is the closest to d? (a) 5 (b) 2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 5, 2, 7.3.\nAnswer: 2\/11, 2, 5, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g + 8 = 4*k, -10 = -2*k. Let p be g\/18*-6*(-9)\/2. Suppose 0 = u - p - 51. Calculate the highest common factor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/11)\/(-3)*(-2)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 6, n: 4}. Give prob of sequence vnn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 145.9425249 and -13.\nAnswer: 132.9425249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 315\/(-25) - (11 - 23). What is the third biggest value in p, 4\/9, -0.08?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/270 + 17*a**2. Suppose w(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3980111*a**2 - 7590770?\nAnswer: 7960222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8582 - 1484. Does 78 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/4 - 804029*f\/2 + 646462632841\/4 = 0.\nAnswer: 804029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -4*i - 4, 4*k = -i - 12. Let l(y) = -y - 1. Let d be (14\/(-49))\/((-4)\/(-14)). Let n(u) = 9*u + 2. Calculate d*n(m) + k*l(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 10929.36 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2 - -6) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/516250 and 33\/1011850.\nAnswer: 25296250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*m + 8*m - 16843 - 7147 + 428 = 0 for m.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16*t\/(t\/t**(27\/5)))\/(t\/(((t*t**(-16)\/t)\/t)\/t))**(-1\/43) assuming t is positive.\nAnswer: t**(4696\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.4. Put 0.1, 4, g in descending order.\nAnswer: 4, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1182093 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9) + 2 + (-300)\/(-9). Calculate the highest common divisor of f and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53397 is divided by 1089.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 6458\/67 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*i**2 + 235936*i + 101118.\nAnswer: -2*(i - 16853)*(7*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {b: 6, v: 1, a: 2, z: 3, q: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (30\/75)\/((-17)\/((-14875)\/14))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let w(p) = 384*p**2 - 993*p - 2000. Determine w(-2).\nAnswer: 1522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6264008 by 8.\nAnswer: -783001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1521736 divided by -388.\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1dc?\nAnswer: 1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4488*g - 26915. What is r(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635*r = 617*r + 111 - 21. Solve r = v, -2*h + 8 - 1 = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 5. Let q be s(7). Suppose -b = q*b. Let i = 19 + b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by (-48)\/112 - (-1490)\/14?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/4 - 13*l**3\/3 - 13*l**2\/2 - 18*l - 4135. Calculate f(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*t*w - 196*a**2*w - 900*a*t*w + 6*a*w + 3*t*w - 2*t + 325*w + 1 wrt t?\nAnswer: a**2*w - 900*a*w + 3*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 12 = 6*d - 2*q, 4*d + 3*q = 12. Suppose 2*g = -d*g + 2*a + 23, 4*a - 4 = 0. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2925 and 14756300.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508 (base 14) in base 8?\nAnswer: 27274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1705*p**2 + 24*p - 36.\nAnswer: 3410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -506 - -3061\/6. Let o = 26 + -46. Find the common denominator of o and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 122*i**2 - 136*i - 744.\nAnswer: 2*(i - 3)*(i + 2)*(i + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + l + 31 = -x, -5*x - l = -49. Let c = 56 + -27. Suppose c + 119 = 4*u. What is the remainder when u is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 + 44 + 73 + (0 - -1 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13943 is divided by 667.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8\/9, -394, 34, 0, -1\/5 in ascending order.\nAnswer: -394, -5, -1\/5, 0, 8\/9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, i: 1, r: 2, q: 3, e: 2}. What is prob of picking 3 y and 1 r?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*w + 949 - 458 = -11263 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3127375054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*z - 192 = -z, -197 = 3*f - 2*z. Which is the third smallest value? (a) f (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -200\/2053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 423 - 7603\nAnswer: -7180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) 3 (c) 4 (d) 20 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -65287.544 to the nearest 100.\nAnswer: -65300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/19 - 368480*c**2\/19 - 2*c\/19 + 368480\/19 = 0.\nAnswer: -1, 1, 184240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -123 - -0.09\nAnswer: -122.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/57 - 109\/285. Let v = -0.9 - 0.1. Let x = 22\/31 - -58\/93. Which is the nearest to v? (a) x (b) g (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21332021 - 12113312?\nAnswer: -100111333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 14*w**2 + 18*w - 5. What is the remainder when 99 is divided by r(15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224009682 - -2861?\nAnswer: -1224006821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:25 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8584204608?\nAnswer: 2, 3, 7, 709673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-10 + 9)) + (2 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 54.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/((-1080)\/(-1668)) - (-2 - 1) and 53\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3364312401?\nAnswer: 3, 97, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 49. Put 3, 5, j in increasing order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 12. Let z be v\/(-21)*(2 + 5). Solve 2*n = 2 + z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 80588.\nAnswer: -3\/40294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 0*h**2 - 1572 - 2*h**2 + 2*h**2 + 1399 - h to u + r*h + f*h**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 624463.8.\nAnswer: 624494.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -45 - (-47 + -6)) + -14 + 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 1917*x**3 - 921593*x**2 - 2751375*x - 1831698.\nAnswer: -(x + 1)*(x + 2)*(x + 957)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, 13, 55, 119, 205, 313?\n\"Answer: 11*i**2 - 13*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 64*u**2\/5 - 67*u\/5 - 26.\nAnswer: (u - 2)*(u + 1)*(u + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*n**6 + 35*n**4 - 5*n**3 + 17628*n**2 wrt n?\nAnswer: 2880*n**3 + 840*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p - 9. Let i = 0.4 - -0.1. Let f = 17890.4 + -17890. Which is the third smallest value? (a) p (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/3 + 5*b**3\/6 - 9*b**2\/2 + 2. Let v(w) be the second derivative of d(w). Let f(s) = -9*s - 6. Determine 5*f(k) + 6*v(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - (9 - 105)) + (-69 - -16) + 38\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 6*b - 37. Let f be 134\/(-26) + (-32)\/(-208). List the prime factors of y(f).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.0161, 1\/4, -0.5, -4, 1\/7, -15\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2689 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - -1*sqrt(320))\/(sqrt(12)\/sqrt(3)*6) + 4*sqrt(2205)*-2.\nAnswer: -500*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -277, -322, -379, -454, -553?\n\"Answer: -z**3 - 38*z - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 11, 20, 31, 44?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 4*n + n)*(-2*n**2 + 0*n**2 + 0*n**2) + 700 - 700 + 322*n**3 to the form f*n**2 + m + w*n + l*n**3 and give l.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 16 = 51. Let o = 145 + -145. Suppose 0 = -2*b + 7*b - 5*k, o = -5*k + 5. Solve b = -8*i + t*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {l: 1, g: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 129766623 to the power of 1\/2, to the nearest integer?\nAnswer: 11392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from dddjddododdoojdd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113 + 24*u**5 + 113 + 0*u**5 + u**5 + u**5 + (2*u**3 - 6*u**3 + 3*u**3)*(-3*u**2 - 2*u**2 + 3*u**2) + u**5 - 4*u**4 + 4*u**4.\nAnswer: 29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 4*h - 4*h + (3 + 3*h - 3)*(-6*h + h + 3*h) - 3 - 3*h**2 + 3.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*d + 83*d + 7482. Differentiate 225*x - 154*x - 206 - 48 + d*x - 77 wrt x.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*w + 939 = 0, -3*w - 225 + 689 = -m. Let d = -425 - m. Calculate the remainder when 76 is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*u**3 - u**3 - 4*u**2 + 16*u**2 + u**3 wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -30149835?\nAnswer: 30149836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5 + 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10484?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31912590 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*m + 14*m + 121*m)*(-m**2 - m**2 + 3*m**2) - 10*m**2 + 14*m**2 + 26*m**3 - 2*m**2 as r*m + k + z*m**3 + x*m**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 0.24 (c) -4943 (d) 3 (e) 1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(6\/(-4) - -1). Suppose 9 + 32*w**3 + 66*w**2 + 7 - 8 - 14*w**4 + u*w - 12*w**5 = 0. What is w?\nAnswer: -1, -2\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40331949?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.55 + -0.5. Let a = k - -1.95. Let v = a - 5. Put -3\/5, -5, v in decreasing order.\nAnswer: -3\/5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25845901.27 - -1\nAnswer: -25845900.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -890609 - -2671843\/3. Factor -4*k**2 + m*k + 2\/3*k**3 + 0.\nAnswer: 2*k*(k - 4)*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -3, -2, 44, 101, 3 in ascending order.\nAnswer: -23, -3, -2, 2, 3, 44, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -243*35.377\nAnswer: -8596.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -14*p - 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*a - 7 = -k, 5*k - 23 = a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from xotvvxhdvxxv?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*3*(sqrt(152) - sqrt(152)*2 - sqrt(152)))\/(sqrt(288) + 1*sqrt(288)*1 - sqrt(288)) + 3)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3409522 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*k + 264*k + 262*k + 259*k - 1048*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 233b20 (base 13) in base 6?\nAnswer: 25533453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:06 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - -12*(-31)\/124?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -890712 divided by 3\nAnswer: -296904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.207 * 0.0268\nAnswer: -0.0055476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/12 + 67*m**3\/2 - 95*m**2 + 345*m. Differentiate a(h) wrt h.\nAnswer: -2*h + 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.54. Let l = -0.05 + o. Let z = l - 0.05. What is z rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*b - 19373 = 8524 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g + 9. Let d be i(-5). Which is bigger: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 27, 511, 5 in increasing order.\nAnswer: -8, -5, 5, 27, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 8*i**2 + 834*i + 1409. Calculate u(0).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (-1 - -14 - (160 - 173)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -6. Let q be 27\/6*(-4)\/j. Suppose -q*r + 0*r = -50. Solve 5*h - r = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 18, b: 1, d: 1}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200100202223 - -32?\nAnswer: 200100202321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7073714 and 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69406*j*m**2*x**2 - 107*j*m**2*x + 2*j*m*x**2 + 12*j*x - 2*m**2*x + m*x**2 wrt x.\nAnswer: 138812*j*m**2 + 4*j*m + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 5*p + 8. Let m be d(-6). Let z(g) = 1 + 0*g**2 - g**m - 302*g**3 + 102*g**3. Let r be z(1). Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 836304.8kg?\nAnswer: 836304800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 20 - 22 = 0. Suppose j*k + 104 + 123 = a, 2*a + 5*k = 443. Which is bigger: 226 or a?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than -4\/48807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29888 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 4 - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u - 2. Let y(h) = 5*h + 5. Let p(n) = 1. Let d(q) = -4*p(q) + y(q). Suppose -4*l + 42 = -l. Suppose 20*a - l*a = 36. What is a*b(j) + 11*d(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*w**5 + 117*w - 117*w + 2*w**5 + 8*w**5 - 3*w**5 + (-2*w**3 + 2*w**3 + 4*w**3)*(-3*w**2 + 0*w**2 + 4*w**2) - 3*w**5 - 4*w**5 - w**5.\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 207936427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxe when three letters picked without replacement from {z: 1, p: 1, f: 2, o: 3, e: 2, x: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*i = 5 + 4, 0 = -g - 2*i + 9. Suppose g*m + r = 3, -4*m + 3*r - 8*r = 7. List the prime factors of m\/(732\/(-246) + 3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5690987\/729615 - -2\/145923. Suppose 39\/5*m**2 - 9\/5*m - s*m**4 + 12\/5*m**5 + 0 - 3\/5*m**3 = 0. What is m?\nAnswer: -1, 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((12 - 10) + -1)*94391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 3*v**5\/20 + 2205*v**2. Let o(w) = 406*w. Determine o(t(y)).\nAnswer: 3654*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*q + 12 = 2*q, -z + 5*q = 4. Let h = 475\/2 - 240. Put h, z, -2 in descending order.\nAnswer: -2, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**2\/2 + 3*v + 1. Let p = -4 + 6. Suppose 3*f + 13 = 5*y, 5*f + 0*y = p*y + 10. Give t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251157612.\nAnswer: 2, 3, 383, 54647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*2*sqrt(12)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 200 + 63 - 23 = 0. Solve -21*i = -j*i - 4*c + 17, -c + 1 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695611723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 10. Suppose -4*b + 8 = 0, -41 + 117 = j*v + 3*b. Calculate the common denominator of 6\/(-8) - v\/5 and -23\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31193134 is divided by 139255?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -2176, -4861, -8648, -13543, -19552, -26681?\nAnswer: -34936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20245*f*m**4 + 13359*f + 2*m**4 + 5*m**2 wrt m.\nAnswer: 485880*f*m + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 24*z - 1. Suppose -46*q = -3*f - 43*q + 48, -z*f - 3*q + 24 = 0. Solve f*d + 3 = 13*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 1 + 12 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023397 minus 0.2?\nAnswer: -0.176603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51744 is divided by 8622.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -1\/12*n**4 + 0 + 3\/2*n**2 + 2*n + 5\/6*n**3. Let x(r) be the first derivative of v(r). Calculate x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 1539*l**3 - 21*l - 81 + 21*l.\nAnswer: 1539*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121574185129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((96\/6 - 12)*(-2)\/12)\/(-17). Let z(c) be the first derivative of x*c**3 + 0*c + 10 - 2\/85*c**5 - 1\/17*c**2 + 1\/34*c**4. Suppose z(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9))**(-8)*(p**(-1\/2))**(-4) assuming p is positive.\nAnswer: p**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 3*q**4\/4 - 5*q**3 + 13*q**2\/2 + 23*q + 2. Let m(s) = 6*s**3 - 30*s**2 + 27*s + 45. Let o(w) = -4*m(w) + 9*p(w). Factor o(f).\nAnswer: 3*(f - 3)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x + 5*k - 4 = -112*x + 3*k, 0 = 3*x - 49*k + 54*k - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 2*c**3 + 2*c**3 + (-4*c**4 + c**4 + c**4)*(2 - 10 + 1)*(3 - 3 + 2).\nAnswer: 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 645770074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(10\/(-175))*3\/24. Let o = -207\/80 + u. What is the third biggest value in o, 7, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/4 + n**3 + n**2\/2 - 4*n - 14. Calculate x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b - 75. Let m be s(-8). Let l(y) = -12*y + 6. Let r(p) = -4*p + 2. Let v(a) = 2*l(a) - 7*r(a). Let o(q) = -5*q + 2. What is m*o(i) + 6*v(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5\/116, 1, 0.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/7505 - -15004\/22515. Which is smaller: 0.699 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -34*p + p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 5150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551 = 300*x - 3249 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, -31, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 1. Let y be u(-1). Let h(i) = -i**3 + 8*i**2 - 6*i - 5. Calculate h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131\/10218*-169*(-16)\/(-260).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyrrgyggyg. Give prob of picking 1 y and 3 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 930.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/97865, -3, -1\/9.\nAnswer: -3, -1\/9, -2\/97865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 46*q = -110*q + 1480 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 620128807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120200010110100 - 12?\nAnswer: -120200010110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4619600 and -0.5.\nAnswer: 2309800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - -54) + 5 + 0 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10168*g - 10164*g + 20334*g. Let h(j) = -303*j. What is a(h(b))?\nAnswer: -606*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 22*x**5 + 84*x**4 - 1996*x**3 + 7488*x**2 - 9018*x + 1404 = 0.\nAnswer: -13, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Which is the biggest value? (a) 0 (b) -1\/10 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/17)*r)**(2\/125)*r*r**(-12\/19)*r**(23\/3) assuming r is positive.\nAnswer: r**(976898\/121125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, 36195, 5, -3 in increasing order.\nAnswer: -480, -3, 5, 36195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-770)\/(-79640)*584\/(-511).\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 17*p - 12. Let l be m(-15). Let s be l*((-32)\/(-12) - 3). Let z(b) = -b**2 + 18*b + 6. Is z(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbyohoh. What is prob of picking 1 l, 1 o, and 2 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78\/(-208) - (-1846)\/16. Let t be h\/(-69)*(-6)\/5. Solve t + 5 = -z + 4*d, -2*z = 2*d - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03317241406 to six dps.\nAnswer: -0.033172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -27, 4 in ascending order.\nAnswer: -120, -27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/49)*b\/(b\/(b*b\/(b\/b**(-24))*b)) assuming b is positive.\nAnswer: b**(-1031\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4755 = 4*o - o. Let l = -9533\/6 - o. Calculate the common denominator of l and 35\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 - -146.4. Let p = -183.3 + t. Let v = p + 31.300147. What is v rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 0.1444941.\nAnswer: -5.8555059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r + 67*r + 17*r = 777. Solve -l + a = -6, l = 8*a + r + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 909806*b**3 + 3*b**2 - b + 25712105?\nAnswer: 2729418*b**2 + 6*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85965 and 33865?\nAnswer: 1117545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 273937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 8) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3945972*n**4 - 18291334?\nAnswer: -15783888*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24682981259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/5 - 139*g**4\/5 - 648*g**3 - 5384*g**2\/5 + 12976*g\/5 + 4752 = 0. Calculate g.\nAnswer: -110, -27, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 107\nAnswer: 61\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -2, 3, 1 in descending order.\nAnswer: 25, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 7668.48\nAnswer: -7672.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 14 = 3*u, -15 = 3*i - 5*u + 2*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 156714 + 156714 - 51*j**3.\nAnswer: -51*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1534 + 30279624537.\nAnswer: 30279624536.8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2666373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 47*j - 204.\nAnswer: (j - 51)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -1.6?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + g = -6 - 46, x - g + 14 = 0. Let s(d) = -3*d**2 - 34*d + 1. Let v be s(x). Let r = -34 - -166. Calculate the highest common factor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*b - 32, 3*b + 5*l + 4 = 34. Solve -4*w + 3*m + 24 = b*m, 0 = w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3970 - -8792. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1613, -1610, -1607, -1604, -1601?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 2*t**2 - 4*t**2 - 2*t**2 + 6*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90 - (-5 - (-33)\/3). Suppose -34*q = -36*q + i. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632\/(-237)*(2 + 35\/(-20)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 2790 = -198*j - 73*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -850*i**6 - 3*i**3 - 208*i**2 + 4*i?\nAnswer: -102000*i**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633433000.\nAnswer: 2, 5, 43, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 + 15 - (-586 + 592))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3152?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 * 1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 500, 1009, 1516, 2021?\n\"Answer: -w**2 + 512*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/6 + a**2\/2 - 2*a. Let t be d(-3). Suppose -5*o + 63 = 2*z - 1, -t*o - 45 = -z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**5 + 6*z**4 + 14*z**3 + 14*z**2 + 4*z - 4. Let n(m) = 2*m**5 + 5*m**4 + 13*m**3 + 14*m**2 + 4*m - 5. Let w(y) = 5*c(y) - 4*n(y). Solve w(x) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by 6.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30044111 (base 5) to base 11\nAnswer: -152404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:44 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -304\/5?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 677022+-69\nAnswer: 676953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 0.03. Let k = q - 5. Let r = -1 + -1. What is the third biggest value in r, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 1*sqrt(11) + sqrt(11) + 2 + 5 + (-3 + 1*sqrt(11) - (sqrt(11) - (sqrt(11) - (sqrt(44) + -2*sqrt(44)))))**2 + 5) + 5.\nAnswer: -340 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j**5\/3 - 1868*j**4\/9 - 3352*j**3\/9 + 848*j**2\/9 + 2080*j\/9 - 128\/3 = 0.\nAnswer: -12, -2, -1, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 4:12 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 21, 38, 55?\n\"Answer: 17*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:09 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (51\/(-15) - (-432)\/(-720))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-9)*30\/5*2\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*l + 12. Suppose 0 = 3*c + 25 + l. Let i = c - -8. Let v(y) = -y**2 - 6*y. What is v(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(343) + 0)*1)**2*1 + (sqrt(567) + sqrt(567)*2 + -3)**2 + 3 + (sqrt(567) + 2)**2 + sqrt(567) + sqrt(567).\nAnswer: -108*sqrt(7) + 14261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.18, -19, -0.6, 71, 3, -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 3*z**2 - z**2)*(-17*z - 49 + 49)*(-31*z - 12*z + 20*z - 49*z).\nAnswer: 2448*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*u = -140*u. Solve u*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/3*(6270\/(-1463) + 1623\/(-28))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, x: 4, m: 3, q: 7, j: 3}. Give prob of sequence jxjn.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.8343 + -3.3459. Let s = 10.32 - u. What is s rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 237608 + 237408 = 0 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.062531, 4, 0.3?\nAnswer: 0.062531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 - 4 = -4*g, 3*g = -4*w + 5. Sort -3, g, 3.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = -3*s, 4*s - 5*k + 1 = 14. Suppose -h + 131 = 3*m, 5*m = s*h + 246 - 46. Calculate the highest common divisor of 24 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 68. Let f = j - -2. Let z = f - 34.00000065. Round z to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)*8\/16. Suppose -5*l + 10 = 0, -4*y = -q*y + l - 74. Suppose 2*r - y = 22. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19925\/14 + -1430. Find the common denominator of k and 3\/(-50)*49 + (-79)\/(3713\/(-47)).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - -11) + (5 - (9 - (3 + 4 + -12)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qqqpqpqjpj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10694 (base 10) in base 5?\nAnswer: 320234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 171840 = -5*u + 142166, 4*u - 4*j = 251200. What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54233.\nAnswer: 193, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 30*p + 39. Let a be o(-20). Suppose 281 + a = 13*f. Calculate the lowest common multiple of f and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3536 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 82103843?\nAnswer: -82103776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 3*p + 5. Let z(w) = -w**3 + w**2 + 1. Let u(t) = -x(t) + 5*z(t). What is the second derivative of u(h) wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**3 + 1792*j**2 + 194*j - 1035. Give c(-199).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 (base 4) in base 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 1. Let g(k) = 2*k**2 + k - 5. Determine g(x) - 4*u(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180111784?\nAnswer: 2, 23, 6413651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326 - -341. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, u: 2, t: 2, s: 2, p: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + 1 + -6*sqrt(891)) - ((sqrt(891) + -1)*1 + 4 + 5))**2.\nAnswer: -936*sqrt(11) + 150595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**4 + 12*j**3 + 14*j**2 + 4*j. Let h(x) = -3*x + 11. Let s be h(5). Let f(d) = d**4 + d**3. Let z(o) = s*f(o) - t(o). Find w such that z(w) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456\/(-24) + 28 - (2081*-96)\/3.\nAnswer: 66601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 41*k + 295. What is o(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708304 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.072? (a) 1.5 (b) -1.8 (c) 0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12121702?\nAnswer: 2, 97, 62483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2. Let c(t) = -5*t**2 + 6*t. Let m = 3 - 1. Let r(n) = -13*n - 2*n**m + 3*n**2 + 10*n**2. Let g(f) = 13*c(f) + 6*r(f). Calculate g(x(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjbjj. Give prob of sequence jj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 = -2*p + 17, -3 = p. Let r be 3 + 15\/(f + 0). Solve 3 = -r*z + 9*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 19 + 586*f - 41.\nAnswer: 586*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*h + 21464, w + 7528 + 3204 = 2*h. Is h a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 15*z - 4. Let h be d(6). Let s = 0 + h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 37.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-27))**(4\/17))**(-5\/11) assuming u is positive.\nAnswer: u**(540\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 6 = 12*i. Let o = i - -324. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -402711000 to the nearest one million.\nAnswer: -403000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m - 0. Let f(z) = -3*z - 5. Let t be f(-4). Let u(p) = -p + 4. Let j be u(t). Which is the nearest to -1? (a) 0.4 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06255 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2017.29 and -0.3.\nAnswer: -2017.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -1\/6*p**3 + 0*p**2 + 17 - 5*p. Give a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 21. Let u(j) = j**3 - 15*j**2 + 7*j - 137. Let s(p) = u(p) - 6*x(p). Determine s(9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + x + 2*x = 235, 4*y - 188 = -5*x. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**5 - 54*h**4 - 3*h**3 + 2160*h**2 - 2100*h = 0.\nAnswer: -14, -10, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 1492. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865936657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27569 and 477379?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3323 + -1272713\/383. Let g = -3491\/4213 - l. Calculate the common denominator of g and ((-68)\/10)\/((-104)\/78).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*z**4 - 4 - 5*z - 27*z**4 + 5*z + 2*z**2 to n*z**2 + p*z + m + i*z**4 + q*z**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/16 and -173\/68603130?\nAnswer: 548825040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (30 - 34) - 15 - 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -j. Solve -j*l + 2*l = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejxttuy. What is prob of sequence tjey?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/104 in 11, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 - 9*m + 32. Let d(g) = 9*g**2 - 9*g + 24. Let k(t) = -5*d(t) + 4*f(t). Calculate k(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0*p**(-2)*p)\/(((p*p**(1\/3)*p)\/p)\/(p*p*p**4\/p*p)) assuming p is positive.\nAnswer: p**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6217 + -6215. Solve -z + 4 = -v, -n*v - 8 = -10*z + 14*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3157 and -1.4.\nAnswer: 3155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4)\/w*w*w**(-7))\/((w*(w\/w**(1\/3))\/w*w*w)\/(w\/w**(-7\/3))) assuming w is positive.\nAnswer: w**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-9 - -4 - 86). Let x = -94 + l. Let q(n) = -n**2 + 5*n - 2. Let b be q(4). Solve -2*r - x*r + 12 = 0, b*o + 2*r = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1187202 and -21.\nAnswer: -21.1187202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1824\/37 (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 403*f**3 + 2*f**2 + 35*f + 36. Give p(-1).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19059, 76226, 171503, 304890, 476387, 685994, 933711?\n\"Answer: 19055*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 4545.\nAnswer: 58\/4545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 3 + sqrt(2) + 1 - (sqrt(64) - (sqrt(64) + sqrt(64)*2 + sqrt(64)))\/sqrt(2).\nAnswer: 4 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 + 4. Let z be h(5). Suppose 13*v + 50 = 23*v. Solve 17 = v*k - z*q, -2*q + 21 = 5*k - 4*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 4341*f**2 - 2*f**3 + 4341*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence out when three letters picked without replacement from {t: 1, u: 5, o: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-5) + 12\/(-30). Let l(z) = 8 + 5*z - 5 + 0. Calculate l(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 8. Suppose h*x - 5*x = -a + 111, a - 2*x - 109 = 0. Let m = 216 - a. What are the prime factors of m?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2 - 449*l - 158. What is the lowest common multiple of u(43) and 4191?\nAnswer: 50292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-336))\/(6\/945*-7)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5376)\/(-126) + (-4)\/(-3). Let r(t) = 44 + 15*t**2 - c - 12*t**2 - 45*t**2. Let a(y) = -5*y**2. Give r(a(u)).\nAnswer: -1050*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f + 5. Let i be (-4)\/(-6)*651\/14. Let g = i + 1. Calculate the remainder when g is divided by a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/119*(-924)\/99?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-11)\/53656504*40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - 18) + (-41 - -21 - -26).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {i: 3, v: 1, k: 1, p: 3, e: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/1109 - 5611\/12199. Which is the second smallest value? (a) -4 (b) -10 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i - 420 = 72*i + 56*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -295*d**2. Let k(m) = -120 + m + 78 + 42. What is i(k(t))?\nAnswer: -295*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 517335 or 517400?\nAnswer: 517400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1113545)\/371174 - -3)*4\/(-1). Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 18 = 18 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.3 + -9. What is the closest to 0.1 in -4, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18 = -30. Let n = z - 6. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -75*6*6\/(-45). Calculate the greatest common factor of 105 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2120 divided by -27176.\nAnswer: 265\/3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1003303?\nAnswer: -1003312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.037 - -0.037. Which is the nearest to 0.1? (a) 2 (b) 0.6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/3 - 128*z**4\/3 - 219*z**3 - 1060*z**2\/3 - 532*z\/3 = 0. What is z?\nAnswer: -2, -1, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 69*o**2 - 662*o - 3704. Determine s(56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 5}. What is prob of picking 1 l and 1 i?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -28*b**5\/5 - b**3\/3 + 108*b - 157. Find the third derivative of g(f) wrt f.\nAnswer: -672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -23*u**5\/40 + 5*u**4\/24 - 121*u**3\/6 - 4*u**2 + 6*u. Let b(r) be the first derivative of x(r). Differentiate b(j) wrt j.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*g - 9906, -63*j - 14824 = -66*j + g. Is 101 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*r - 4249*r**3 - 207*r + 4224*r**3 + 98*r.\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 1612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 - 12 = 0. Let s(v) be the first derivative of -v**3\/3 - 11*v**2\/2 - 4*v + 535. What is s(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -80, -535, 23 in increasing order.\nAnswer: -535, -80, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + 7. Suppose 8*p - o = 19. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - t - 24. Determine h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-6544340)\/28)\/(4\/(29 + -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:05 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i + 1. Determine y(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -372 - -376. Sort 20, -1, d in decreasing order.\nAnswer: 20, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7037 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:20 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -4\/7, 46, 2 in decreasing order.\nAnswer: 46, 2, 0.1, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 0 - (-4 + 1). Let w(g) = g**3 - 4*g**2 - 3*g - 6. Let l be w(t). Suppose a + 3*k - 51 = -4*a, -3*a + 4*k = -l. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 13*d**7\/105 - 13*d**5\/30 + 3*d**2. Find the third derivative of z(j) wrt j.\nAnswer: 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 9. Suppose 9 - 40 = -q - 3*h, 0 = -4*q + 2*h + 166. Let r = 45 - q. What is the remainder when r is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14 = 2. Suppose 9*p + 25 = b*p, y + p = 6. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5633\/7 + 805. Which is the nearest to l? (a) 2 (b) 0 (c) -2\/183 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + l. Solve 0 = -l*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2 + 542*k - 67816 = 0.\nAnswer: 196, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2127 + -2125. Solve 6*h = 2*h + d*b + 22, 0 = -h - 2*b - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b + -190?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21755\/(-469908))\/(5\/(-9)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1509*g - 2*g**2 + 85 + 6*g**2 - 1493*g. What is the units digit of b(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + 0*a**2 + (-6*a + 0*a + 4*a)*(-2 - 3*a + 2))*(2*a**2 + 2*a**2 - a**2).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1732 - 1809 - (-1 + -73)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 13*n**2 - 6*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u - 3. Let z(o) = o**3 - 2*o**2 + 4*o - 7. Let x be z(2). Let i be p(x). Solve 4*r - 24 = -d, i*r + r = -d + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 635*l\/2 - 1887.\nAnswer: -(l + 6)*(l + 629)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m - 7. Let q be t(-1). Solve 7*i = q*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 10. Let h be l(-7). Suppose -n + 0*n - 12 = h*s, -4*s = 2*n + 8. Let m(j) = 5*j + 0*j - n*j. Let k(q) = -q. Determine m(k(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135061 = -2509*r - 15479 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 468017?\nAnswer: -1404051","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2.3. Let c = 7427\/17 - 437. Put m, c, -2\/7 in descending order.\nAnswer: c, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 694601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226761 is divided by 222559.\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*d**3 - 3155*d**2 + 3155*d**2 + (-5*d + 7*d - 11*d)*(0*d**2 - 4*d**2 + 3*d**2).\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -208 and -208 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(9\/4)\/d)\/((d**(-2\/33)\/d)\/d))\/(d**(-1\/6)\/d**(-2\/15)) assuming d is positive.\nAnswer: d**(2207\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h - 3612 = -45*h. Let c = h - 514. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.112 - 0.858. What is f rounded to 1 decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18643 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 142?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - 2*i**2)*(-2201 + 340*i + 1102 + 1097).\nAnswer: 340*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 15 = -4*j. Let k = 1 + 8. Solve -j*y + 2*v - 7 = -y, 3*v = y + k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t + 2*t**2 - 5 - 11*t**2 + 2*t. Let l be d(8). Find b, given that 5*b**3 - l*b**4 - 3*b + 7*b + 4*b**4 + 8*b**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -277 in 0.3, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o**2 - 18*o**3 + 9*o**3 + o**2 + 24*o**2 + 8*o**3.\nAnswer: -o**3 + 64*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - h - 14 = 0, q - 3*h + 14 = 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let q(t) = 323*t. Determine q(l(v)).\nAnswer: -969*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.69 - 3.9. Let h = -2.22 - z. Let r = -0.01 - h. Which is greater: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221 - y**2 - 4*y**3 - 221 + 2*y**4 to w*y**4 + k*y**3 + i*y**2 + d*y + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 519, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d = -53*d - 3180. Suppose -d = -36*y + 186. Solve 5*m - 2*m + 8 = j, -4*j + 3*m + y = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 14. Let m be o(9). Let v = m - 35. Suppose -4*b - 3*h = -14 - 3, -b - 3*h = -11. Solve 2 = 2*d - b*g, -v*d = g - 3*g - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/24 + 38*t**3\/3 - 3*t**2 + 26*t. Calculate b(0).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656033, 1312055, 1968065, 2624063?\nAnswer: 3280049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -7, 6 in increasing order.\nAnswer: -12, -7, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12769397.\nAnswer: 17, 751141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**2 + 720*v - 40239. Give o(-162).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkkehkkkkhkhkkkkkhk. Give prob of picking 1 e and 1 k.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:00 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.01, -2, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 - 47*q + 14. Determine o(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7754\/38795 - -1\/7759. What is the smallest value in -1, -807, x?\nAnswer: -807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14826, 14823, 14820, 14817, 14814, 14811?\n\"Answer: -3*p + 14829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -196209*p. Let f(y) = 2*y + 113. Give v(f(m)).\nAnswer: -392418*m - 22171617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -25*(0 + -1) + 12. Let b(i) = -i**2 + 4*i + 6. Let d be b(5). Is r at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 35*t**2 - t - 31. Give a(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(2*g - 2*g + g) + 234 - 475 + 436*g + 241 + 2*g + 0*g - 4*g + (-1 - g + 1)*(-4 + 5 - 2) + 5 + 6*g - 5.\nAnswer: 442*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73800?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105370493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 5*n**2 + 362*n - 1127. Calculate z(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05491 + -4?\nAnswer: -4.05491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327390 is divided by 299?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*o**3 - 6416*o**2 + 214684*o + 48024 = 0. What is o?\nAnswer: -207, -2\/9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 7*s**2 - 8*s + 1. Let g be a(-8). Let v(f) = g - 1 - f. Let h(z) = -2*z. Calculate h(v(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 0 - 1\/5*l**3 + 0*l**2.\nAnswer: -l**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2450 or -12257\/5?\nAnswer: -2450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(4398\/(-4) - (6 + -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/503205 and 1\/5260.\nAnswer: 529371660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g - 16*g - 12. Let n(d) = -4 + d - 10 + g. Give n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8*280\/(-2100)*(-5)\/(-2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 178 = -16. Let j = 203 + -113. What is the greatest common divisor of c and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-326)\/(-7498))\/((-1)\/1217) + ((-284)\/92 - -3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/7))**(-27) assuming s is positive.\nAnswer: s**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 5.9. Let h = 4.86 + 0.14. Sort g, -1, h.\nAnswer: -1, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 40. Let x(o) be the first derivative of -o**3\/3 + 7*o**2\/2 + 6*o - 1. What is the units digit of x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1111*t + 1. Let d(o) = -o**2 + 7*o + 9. Let i be d(9). Let a be c(i). What is a rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2522721 from -0.637.\nAnswer: -0.8892721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - -4 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1520, 6517, 15676, 29675, 49192, 74905, 107492?\n\"Answer: 113*m**3 + 1403*m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 - ((14 - -8) + 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*f - 8 - 16, -2*m = -5*f + 12. Suppose f*s = 4*d - 80, -4*s = 2*d - 2*s - 24. Let l = 2533 - 2516. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 51. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5927 = 5907 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-1265)\/69 + 19 + (-58)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 20*n.\nAnswer: -4*n*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 3*k**3 + k**3)*(14*k - 10*k + 4*k)*(-3 + 3 + 2).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 8*j**2 - 5*j - 4. Let g = 11 + -19. Let l be f(g). Is 3 a factor of ((-2)\/2)\/((-6)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253860 (base 10) to base 14.\nAnswer: -6872c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**8\/20160 + c**7\/1260 - c**6\/90 - 2*c**5\/5 - c**3\/2 - 57*c**2. Let n(p) be the third derivative of h(p). Determine n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*u**4*y - 11*u**3 - 1611*u**2*y wrt u.\nAnswer: 1344*u*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 504866 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/13583194 and 43\/1334?\nAnswer: 312413462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**3 - 3 + 3)*(-2*r**2 + 28*r**2 + 16*r**2) - 4*r**5 + r**5 + 4*r**5.\nAnswer: -251*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71472678613 + 16*v + 71472678613.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 958 - 46944\/49. Suppose -78 = -88*k + 10. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(11) + 6*3*sqrt(11) + -1)**2*-2 + -2.\nAnswer: -7994 - 380*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11535*h**6 - 73*h**4 - 32*h**2 + 2*h + 2244?\nAnswer: 1384200*h**3 - 1752*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*o + 259, -458 = k - 3*k - 2*o. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 193*b + 1119. Give g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 8. Let j be p(-10). Let q = 22 + j. Suppose q = 6*v - 61 - 35. Solve -b + 4*k - v = 0, 0*b - k + 4 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -3 - -12)\/(-10 - (-2640)\/252).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/8 + 2*v**3\/3 + v**2. Let l be (-176)\/(-30) + (-4)\/(-30). Suppose 3*c + l = 5*c. Determine q(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447, 3505, 11799, 27945, 54559, 94257, 149655?\nAnswer: 223369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2)*(-6 + 12). Let d be x\/9*(0 - 9). Suppose -1055 = -d*c + c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tede when four letters picked without replacement from ettdddetdeetettdted.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.54 - -1.54. What is the third smallest value in 0.2, w, 6, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(1260\/(-5558)) - 36*(-52)\/(-1170)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 6 + (2 - (-2)\/(-5)). What is the third biggest value in 1\/6, -2\/3, f, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1539) + 5 - sqrt(1539))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4\/6 - 902*n**3 - 33182*n**2\/3 - 4280*n = 0.\nAnswer: -1070, -12, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/9 - (-10)\/(-15)) + 1 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 3*q**3 - 14*q**3 - 4*q**2 + 12*q**3 - 6*q to the form y*q + s*q**2 + l + g*q**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 447463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from spscpspspphccp?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*p**4 + 1 + (-p + p + p**3)*(-4*p - 1 + 1).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*w + 103*w = 378 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2732 + -2730. Let s = 0 - 0.3. What is the third biggest value in s, n, 30?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22. Suppose 0 = 4*s + 5*x - 3, -3 = -m*x + 3*x. Suppose -4*p - 25 = -s*v + 1, -v - p + 16 = 0. Solve -2*k = 3*k + v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - n + 5*n + 25 = 0, 2*n - 20 = -4*m. Suppose 130 = m*r + 5*h, r + 5*h + 0*h = 22. Let z = -29 + 32. Solve r = 2*q - 5*t, z*t - 4 = -3*q - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) 1\/6 (c) 2 (d) 0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x\/x**(-6\/7))\/x*x)\/x)*x**(3\/2))\/(x\/x**(7\/3)*x\/(x**(1\/2)\/x)))**(2\/63) assuming x is positive.\nAnswer: x**(62\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 12. Let a be p(-10). Let z = 6 + 4. Suppose -4*n + 3*n = -12*n. What is the nearest to z in -5, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1913 + -1492.1. Let f = w - 443. Let l = 22 + f. Which is bigger: l or -13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 + 0.48. Which is the second biggest value? (a) 2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -12. Let h = o - -12. Solve -2*z - 1 + 6 = -y, 4*z = h*y + 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.9034ml in litres?\nAnswer: 0.3779034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 561 and 3311?\nAnswer: 168861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 25*g**2 - 50*g + 26. Let z be c(-22). Let p = z + 416. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -106?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53816 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 5. Suppose 9*t + 3*t - 96 = 0. What is the least common multiple of s(-6) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*u + 1)*(15874 - 32761 + 16102).\nAnswer: 1570*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -23*i**4 - 23*i**3 + 30*i**2 + 8. Let s(p) = 8*p**4 + 8*p**3 - 10*p**2 - 3. Let f(x) = 3*q(x) + 8*s(x). Factor f(l).\nAnswer: -5*l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 2. Let y be u(-5). Suppose 0 = -2*m + 2 + 4. Calculate the highest common factor of m and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001100001101010001111 (base 2) in base 10?\nAnswer: 15080079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -787743940559\/6300 + 125038725. Let a = 1\/700 + m. Find the common denominator of -75\/4 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 14*a**2 - 30*a + 19. What are the prime factors of f(8)?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {u: 4, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.06 - 0.06. Suppose 25 = 2*a - 7*a. What is the biggest value in a, -1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2. Let m(i) = -i**2 - 15*i + 18. Let a be m(-16). Let t(d) be the first derivative of -a - 1\/3*d**3 + 0*d**2 + 0*d. Determine q(t(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -81. What is the nearest to w in 1\/2, -1\/6, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 43512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/771862 and -81\/26.\nAnswer: 771862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31051.\nAnswer: 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:20 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from fbffbbbbff?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 582 + 622. Let x(j) = 2*j**2 + 4*j - 4. Give x(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 7*n**3 - 7*n**3 + 2*n**3 + 0*n**3.\nAnswer: 2*n**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 152*g - 20. Let h be o(-1). Which is the nearest to 1? (a) 3 (b) 0 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2242, 1, -20 in descending order.\nAnswer: 2242, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012 at least as big as 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + -1)*-1 + -5 + 1*sqrt(363))*-6 + ((((sqrt(363)*1 + sqrt(363))*-1 - sqrt(363)) + -2)*4)**2.\nAnswer: 2112*sqrt(3) + 52360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 2*t)*(2*t**4 + 0*t**4 + 0*t**4) + (2 - 4 + 1)*(t - t - t**5) + 10*t**5 - 327*t + 327*t.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20589.\nAnswer: 3, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22c (base 16) to base 15.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-34 + 7) - 18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 13*s**3 + 474 - 334.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from mxmmx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-8 + (9 - 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70080 is divided by 3503?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/13 (b) 2\/23 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3002 - -4?\nAnswer: -2ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**2 + 2140*w - 1424 = 0.\nAnswer: 2\/3, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/19)*n\/(n\/n**(1\/4))*(n**(2\/7))**(5\/17))\/(((n*((n*(n*n*n**(-2\/7))\/n*n)\/n)\/n)\/n)**(-3)*(n\/(n*n*n**(1\/4)))\/(n\/(n*n**4*n))) assuming n is positive.\nAnswer: n**(-6233\/4522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/12 - d**3\/6 + d**2\/3 + 2*d\/3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 56*l**2 + 94*l - 36. Let m be x(-29). Let w = 2158 + m. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) 0.3 (c) 1376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -757c?\nAnswer: -758b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10746 minus 0.4?\nAnswer: -10746.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*h, 0 = o + h + 5 - 10. Let q(s) = s**3 - 1. Let u(n) = 9*n**3 + 110*n**2 - 32*n - 2. Let a(z) = o*q(z) - 5*u(z). Let a(j) = 0. Calculate j.\nAnswer: -16, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (24 - (27 + -18)) - 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/142, -0.21 in decreasing order.\nAnswer: 5\/142, -0.21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5796 and 709492.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + 2 - sqrt(3)) + (sqrt(6)\/sqrt(2))**2*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703 - 2977 = -9*r + 239*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s*s\/s**(-4\/3)*s**(-1\/4)\/s*(s**2)**(-4\/9) assuming s is positive.\nAnswer: s**(151\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4 = 2*n - 5*p + 7*p, 5*n + 55 = -5*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3039 is divided by 219.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129361465?\nAnswer: 5, 25872293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 101*o**2 - 155*o - 5310. Give y(-51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 77*b**6\/5 - 170*b**4\/3 - 111*b - 4. What is the third derivative of i(v) wrt v?\nAnswer: 11088*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28881, 57275, 85669, 114063, 142457, 170851?\n\"Answer: 28394*l + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = 2*n, 13 = x + 4*n. Suppose -16*l = -4*g - 19*l + 496, -5*g - x*l = -615. What are the prime factors of g?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 4. Let h(y) = 3*y + 11. Let n(l) = 4*h(l) - 11*q(l). Let t(g) = 53*g**2. Determine n(t(o)).\nAnswer: 53*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 88*k**3\/3 - 9*k**2\/2 + 21*k - 26. Let h be g(7). Round h to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -7c?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232 plus 2489.1136?\nAnswer: 2489.3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**4 - 725*z**3 - 2572*z + 176251369 wrt z.\nAnswer: -8*z**3 - 2175*z**2 - 2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48896256 + -18996256. What is x rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 31 = 5*h, n - 1 = -5*h + 16. Suppose s = -4*r + 2 + 1, 0 = -5*r - 4*s + n. Solve -3*g + r*g - 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*10\/3*(-136)\/(-340)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wweu when four letters picked without replacement from {e: 2, w: 2, u: 1, o: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 11*v**4\/3 - 13*v**3\/6 - v**2\/2 + 270*v. What is the second derivative of l(y) wrt y?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 1569a77?\nAnswer: 1569a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p + 0*p + 70 - 4*p - 71. Give f(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05482 - -3.\nAnswer: 3.05482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 4*y + 3*p, 34 + 127 = -4*y + 5*p. Let i = 1 - y. Calculate the remainder when i is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/12)\/5)\/(9\/6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:58 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 14*x - 15. Does 32 divide z(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 4056*l - 1028196.\nAnswer: -4*(l - 507)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149\/28 + -351\/14. Find the common denominator of s and 47\/363.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4) - -2)\/(57\/152)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**4\/3 - 69418*t**3\/3 - 52070*t**2\/3 + 17356*t\/3 = 0. What is t?\nAnswer: -1, 0, 1\/4, 8678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 58 - 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyd. Give prob of picking 1 y and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) 0.2 (d) -0.4 (e) 0.3 (f) 4 (g) 26.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**(-31)*g*g*g)\/g))\/(g\/(g\/(g*g*g**(5\/14)))*g)*(g**9)**(-6) assuming g is positive.\nAnswer: g**(-1265\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 0.5277, 0, -2\/7, -3\/5, 0.019?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 486885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 25.999785. What is n rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230213 (base 8) to base 10.\nAnswer: -77963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -201598, -201597, -201594, -201589, -201582, -201573, -201562?\n\"Answer: r**2 - 2*r - 201597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*w - 5 = 0, -3*u = u + 5*w + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + 42*k + 0 as b + o*k and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 237, 231, 225, 219?\n\"Answer: -6*j + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from butvozot. What is prob of picking 1 u, 1 v, and 2 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20175 - 39.6?\nAnswer: -20214.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h. Let z(q) = -13*q - 4*q + 16*q - 3*q. Let v(u) = 2*o(u) + 5*z(u). Let r(s) = 5*s. Give r(v(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrlrrl. Give prob of sequence lrl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1033 + -5)\/(-2)*(-34)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*m - 180 = 0, -91 - 11 = -2*c + 2*m. What is the third derivative of c*k**3 + 15*k**2 - 45*k**3 - 5*k**2 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34053.6 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeis when four letters picked without replacement from {e: 2, s: 2, m: 1, o: 5, i: 6}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -10 - (-96 - -95 - (9 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1243 - 544 = 0. What are the prime factors of d?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 23, -4, -3, 0.\nAnswer: -22, -4, -3, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/10 - 46*s\/5 - 666\/5 = 0.\nAnswer: -74, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -304. Let d be 78\/4 - (-2)\/(-4). Calculate the highest common divisor of f and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 4:29 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92ab + 39?\nAnswer: 9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 5*x - 9, -5*p = 32*x - 174*x + 563 - 122 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90604 is divided by 90313.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j. Let y(s) = -52*s**2 - 4. What is y(i(a))?\nAnswer: -832*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 123, 0, -308.\nAnswer: -308, -5, 0, 3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1068.1 - -1069. What is the closest to 1\/3 in x, 0.4, 0.5, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-30))\/((-3)\/107182149). Let o = r + -3576074. Let c = o + 3347. Calculate the common denominator of 69\/16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -597, 3, -5 in decreasing order.\nAnswer: 3, 0.13, -5, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336 (base 10) to base 13.\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -789 + 1285. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:46 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/7)*z**(-2\/3) assuming z is positive.\nAnswer: z**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750776 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132873)\/(-91) - 1\/7. Suppose -50 = 2*d - v. Suppose -4*u + 9*u - d = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.45. Let g = y - 0. Let s = -21 + 20.7. Which is the biggest value? (a) g (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -126*v + 1141. Calculate r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Let q = 10 - v. Let k = 146 + -136. Solve q*p = p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 13. Suppose -3*g - 21 = -7*g - 3*x, 6 = j*g - x. Suppose -12 = 7*c - g*c. Sort -4, 0, c, 5.\nAnswer: -4, c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from jmjmmj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 705*-18\nAnswer: -12690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -427, -4 in increasing order.\nAnswer: -427, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -72.5+12\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d**3 - d**3 + 2*d + 113*d**2 - 221*d**2 - 2 + 110*d**2. Let v(q) = -9*q**3 + 21*q**2 + 21*q - 21. Calculate 2*v(g) - 21*x(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u - 1. Let m be 1*((-4)\/8 - 6\/12). Let d(b) = 4*b**2 + 10*b + 3. Let l(i) = m*d(i) - 3*x(i). Let l(a) = 0. What is a?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.043 - -1.843. Let d = -0.2645 + 0.7645. Which is the biggest value? (a) d (b) -1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 189414.\nAnswer: 5303592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13*x**2 - 8*x**2 + 2*x + 9*x**2 - x**3 + 0 in the form t + b*x + j*x**3 + u*x**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6 + d + 12 - 14. Calculate g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a**3 - 4*a**2 + 42*a - 125. Calculate w(3).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/7 - 2*c**3 - 12*c**2\/7 = 0 for c.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g**(-2\/13)\/g*g))))\/g*g\/(g*g**(-8)\/g))**(3\/4) assuming g is positive.\nAnswer: g**(357\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3969752488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5664 and 469168.\nAnswer: 2815008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + 3 + -1*(0 + sqrt(192) + sqrt(192)).\nAnswer: -16*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otwytqqo. Give prob of picking 1 y, 1 o, and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2161748 millimeters to centimeters.\nAnswer: 0.02161748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/12 + 280*g**2. Let i(k) = 64*k. Give r(i(q)).\nAnswer: -20480*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*g - 28 = -108*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -518*l - 6159. Calculate the remainder when 4727 is divided by v(-12).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, e: 1, q: 6}. Give prob of picking 2 q and 1 i.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let p = x + -1.92. What is p rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 less than -34?\nAnswer: -34.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 7. Let l(k) = -k - 3. Let z(n) = 7*l(n) - 3*s(n). Let w(f) = -3*f**2 + 4*f**2 + 0*f**2. What is z(w(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -300413203?\nAnswer: 300413203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 26*g - 1. Let r(j) = j - 3. Let y be r(2). Let c(d) = d. Let h(o) = y*s(o) + c(o). What is the tens digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1945, -21177, -73373, -175015, -342585, -592565, -941437, -1405683?\nAnswer: -2001785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -32. Let m(q) = 2*q**3 + 2*q**2 + q - 4. Let n(f) = f**3 + f**2 + f - 2. Let w(j) = p*n(j) - 6*m(j). Let z = -4 + 1. What is w(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34864 is divided by 1950.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465149299*d + 465149299*d + 12*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13916102 minus 40.4?\nAnswer: -13916142.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423111530 rounded to the nearest 1000000?\nAnswer: -1423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwy when three letters picked without replacement from cycyycywdyhyccy.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 4. Let d be b(-2). Solve 3*i + 5*p = 4, -12 = 3*i - 5*p + d*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 15, 44, 85, 138, 203, 280?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -m - 389 + 77, 1560 = -5*m - 4*z. Let q = m + 300. Let k(h) = -2*h**2 + 16*h - 14. Let b(t) = -t + 1. Give q*b(i) - k(i).\nAnswer: 2*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/839 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 411\/(-81) - (3 - (-10090)\/(-3510)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.5587 decades to years.\nAnswer: 6055.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in 438, 1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 1\/3 (b) 0 (c) 0.1 (d) 2346 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -0.5, -2\/3, 2\/39, -2, 1 in descending order.\nAnswer: 81, 1, 2\/39, -0.5, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and -13\/115.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 84*o - 1652210 = -112778. Calculate the remainder when o is divided by 147.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = s - 2*b, 5*s = 2*b - 1. Let k be s + 52\/44 - 2. Let p be (1\/(-2))\/((-6)\/36). Sort p, 2, k, 0.2 in descending order.\nAnswer: p, 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r)**(-18))**49\/((r\/r**(-1\/3))**(-2\/33)*r\/(r**(-2\/17)*r)*r**7) assuming r is positive.\nAnswer: r**(-5949467\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(308)\/(sqrt(7) + sqrt(175) - sqrt(7)))\/sqrt(4)*-3)**2 + 2.\nAnswer: -12*sqrt(11)\/5 + 249\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 10. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 5430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 44*k**2 + 5536*k - 1008 = 0.\nAnswer: -126, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 160.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qga when three letters picked without replacement from dgofaqg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 754798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6509 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 5 - 1)*(5 - 3 - 3) - 3 - 4 + 4)*((2*z + 3*z - 2*z)*(-3*z + 2*z + 2*z) + 0*z**2 + z**2 + 0*z**2) as w*z**2 + x + u*z and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.01 (b) 19 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/28917, 0.863, -3 in descending order.\nAnswer: 0.863, 2\/28917, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - s + 2*s)*(5*s**3 + 6*s**3 + s**3) + 179*s**4 - 873*s**2 + 432*s**2 + 434*s**2 in the form w*s**2 + z + x*s**3 + o*s**4 + f*s and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*((z*z**(-2\/5)\/z)\/z)\/z)*z\/z**(-1\/7)*(z**3\/z)\/(z**0\/z*z) assuming z is positive.\nAnswer: z**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26331.\nAnswer: 3, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 1 = 2*c, -5 = -2*h + 2*c + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 - 12*d**2 - 20*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4972, -14531, -24092, -33655?\nAnswer: -43220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**5 - 6*j**2 - 1 - 5*j**3 - 3\/10*j**7 + 0*j**6 + 0*j + 0*j**4. Find the first derivative of c(d) wrt d.\nAnswer: -252*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -426 + 427. Let u(t) = t**2 + 6*t. Let d(o) = 4*o - 1. Let b(q) = n*u(q) + 2*d(q). Determine b(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 611, 2363, 5283, 9371?\n\"Answer: 584*p**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 434.35\nAnswer: 86.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -19*d + 16. Suppose 0 = 12*s + d - 32. Suppose -s*j + 3*u + 21 = -49, 198 = 5*j + 4*u. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxnnxxxnxnxxxxxxnnx. Give prob of picking 4 n.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6665357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**5 - g**4 - g**3 + g. Let b(r) = -6*r**5 + 3*r**4 + 3*r**3 - 4*r. Let i(n) = -b(n) - 3*v(n). What is the second derivative of i(m) wrt m?\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.813115 litres?\nAnswer: 4813.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 4*y + 6. Let s be h(-6). Suppose 2*w - 240 = -4*t, -t + s = 4*w - 297. Let j be (8\/w)\/((-4)\/(-6)). Put -2, j, -1 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = x - 7, 3 = -2*x - 7. Let i be -6 - n - (0 + 0). Is (6 - 4) + (i - -153) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2302*m - 6904. Let w be b(-3). Let t(k) = k - 1. Let l(c) be the second derivative of 0 - 5*c**2 + c + 4\/3*c**3. Give w*l(j) - 20*t(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/7 - 10*j**3\/7 + j**2 + 18*j\/7.\nAnswer: j*(j - 9)*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 10:39 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*b - 9 + 45 = 0, -b - 92 = -4*k. Suppose -18*w + 10*w - k = 0. What is the remainder when 18 is divided by (15\/2 - 2)*2 + w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 7*l**2 + 2*l + 5. Determine m(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1307013645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -661.3 - -2360044.\nAnswer: 2359382.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -21815\/46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682556943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q**(1\/4)*q)\/q*q)\/(q\/(q*q*(q**(-1\/7)*q)\/q))*q**(1\/4)\/(q\/(q*q*((((q\/(q*(q\/q**(-1\/4))\/q*q))\/q)\/q)\/q)\/q)))**(-2\/73) assuming q is positive.\nAnswer: q**(-3\/1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -545 - -1133. Let x = k - 538. Suppose -5*i = 3*s - 560, i + 3 = -2. What is the remainder when s is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -877 = 83*u - 213 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 620.63 - 613. What is v rounded to 1 decimal place?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -91 (b) 2\/8861 (c) -5 (d) -2 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 24, 30, 32, 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120170 divided by 2?\nAnswer: 1560085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 * 6.4\nAnswer: 0.4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 + -13231?\nAnswer: -22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 - 4) + (-4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, -12 in ascending order.\nAnswer: -12, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -17\/2 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 22*i**2. Let z(u) be the second derivative of 59*u**3\/3 - 2*u + 22. Calculate z(x(m)).\nAnswer: 2596*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - 535761?\nAnswer: -535701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136501 is divided by 170.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4111 is divided by 295?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(1224)*2 + sqrt(1224))*3)\/((sqrt(128)*-1 - sqrt(128))\/((sqrt(24)*-1)\/sqrt(6))).\nAnswer: -135*sqrt(17)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*h**4 - 8\/3*h + 0 + 14\/3*h**2 - 7\/3*h**3.\nAnswer: h*(h - 4)*(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181022767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 79935 divided by 15\nAnswer: 5329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10241 (base 5) to base 14.\nAnswer: -37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)*(-3 + 0). Let u = -0.8 + -13.2. Let t = u - -13.6. What is the second biggest value in k, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h - 34*h + 36*h.\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 5*a, -2*w - 3*a + 11 - 16 = -17 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(-6\/11)\/b)*b)*b*b*b**14)\/(b*b**(-2\/3))**5)**(-4\/17) assuming b is positive.\nAnswer: b**(-1424\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/14 - 4013450\/(-245) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/1344 + r**6\/2880 - r**3 - 16*r**2. Let q(y) be the first derivative of m(y). Let q(p) = 0. Calculate p.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40094.21 nanograms to micrograms.\nAnswer: 40.09421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v**2 - 2*v - 3. Let s(d) = 47*d + 1131. Let z be s(-24). Let x(p) = 2*p**3 - 5*p**2 - 4*p - 5. Calculate z*x(n) - 5*t(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*-2*((sqrt(3) + -3)*-5 + 3).\nAnswer: -50*sqrt(3) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8848979?\nAnswer: 127, 69677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508751993.\nAnswer: 131, 191, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -3*k - 6, 2*p = 120978*k - 120981*k + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*v = 35, 0 = 2*v - v + 3. Let a = g - -64. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206963299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let t(y) be the first derivative of -9 - 2 + 2*y**2 + 0 + 2. What is t(x(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*z - 69. Let d(g) = 60*g + 10. Let c(f) = -30*f - 5. Let h(y) = 5*c(y) + 3*d(y). Let n be h(6). What is the greatest common factor of n and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/(16\/120). Suppose -2*t = t - 12. Suppose -2*s = -3*c - 3*s + 9, -6 = -2*c + 5*s. Put c, g, t in descending order.\nAnswer: t, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 0*x = 0. Suppose 437*o - 442*o + 35 = x. Solve 5*g - 9 = 3*s, -o = 5*s + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -96 (b) -5\/6 (c) -1\/2 (d) -1 (e) -0.4 (f) 51\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, x: 1, e: 1}. Give prob of sequence ea.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.976*-16.456\nAnswer: 16.061056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43478 + 14?\nAnswer: 43492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9 - 11 + 9 - 6*f + 0. Let q(v) = 7*v - 8. Calculate 5*q(j) + 6*s(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbxbtb. Give prob of picking 1 t, 1 b, and 1 x.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*p**3 + 2*a - 3*p**3 + 2*p**2 + 2*p - 25 wrt p.\nAnswer: 6*a*p - 18*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*z + 3, 4*z - 1 - 8 = -s. Let k = 3 + z. Let t(n) = 2*n + 10. What is the remainder when 58 is divided by t(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 61 - 165 = 5*k - 42, -11*k = -2*v + 149 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8905*l + 238*l**2 - 239*l**2 - 29*l**3 - 4459*l - 4446*l.\nAnswer: -29*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 262 and 263 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20.41, 1\/6, -0.05, -2 in decreasing order.\nAnswer: 20.41, 1\/6, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/5, 4064, 303 in descending order.\nAnswer: 4064, 303, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/72252? (a) -0.2 (b) 1 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2679 divided by -2679\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225.999779 + -226. What is k rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*p - 6 = 3*l, 2*p + 8 = 0. Suppose 5*i + 9 + 7 = l*a, -12 = -2*a + 3*i. Is (-15638)\/(-42) - ((-2)\/a + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 163.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8428 - -8427.8853. Round m to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/207 and -17\/43907?\nAnswer: 395163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - r - 8 + 24 + 11 in the form y*r + t and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 3*q**2 - 1. Let p(i) = -13*i**3 + 8*i**2 - 4. Give -3*a(s) - p(s).\nAnswer: 10*s**3 + s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 4*x - 16, z + 4 = -5*x. Let g = -8.79 - 0.21. Let n = g - -9.5. Put z, 1, n in decreasing order.\nAnswer: 1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/169 (b) -0.7 (c) -0.5 (d) -2426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 78685.9 days?\nAnswer: 6798461760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1142 and 13.\nAnswer: 14846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17010 and 6570.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91, -89, -87?\n\"Answer: 2*f - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -62166260 divided by 4782020\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.04 - -0.04. Let l = -3 + o. What is the third biggest value in -1\/8, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 - 2*j**2*t - 21*j*t - 1291*t wrt j.\nAnswer: -6*j**2 - 4*j*t - 21*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 + 48*j**3 + 225*j**2 + 324*j = 0.\nAnswer: -9, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q + 0 - 1\/6*q**3 - 15\/8*q**4 + 2*q**2. Let b be s(-1). What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/85)\/((-285)\/(-440895)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39735, -79467, -119199, -158931, -198663, -238395?\n\"Answer: -39732*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**5 + 2*i**3 - i**2 + 101*i.\nAnswer: -180*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62440 and 309535.\nAnswer: 3865473080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739324039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = 126*p + 1899 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*i**2 + 4\/11*i + 2\/11*i**3 + 0.\nAnswer: 2*i*(i - 2)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3*2\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730.049 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) - 36\/(-20). Suppose 4 = -p + 1, -c*p = -5*g + 16. Let q(s) = -2*s - s + 3*s + g*s**2. Let j(f) = -3*f. Give j(q(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, 2\/87, 23, -0.1, -0.15 in ascending order.\nAnswer: -3, -0.15, -0.1, 2\/87, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + 22696b?\nAnswer: 226935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -20*i - 3. Let n(d) = -30*d - 5. Suppose -s - 31 = 4*l, 5*s + 0 = 3*l + 6. Calculate l*j(p) + 5*n(p).\nAnswer: -10*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -28. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/(sqrt(25)\/(sqrt(30)\/sqrt(6))) + ((sqrt(12) + -3)**2 - -1*sqrt(9)\/sqrt(3)).\nAnswer: -10*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d**3 + 5009*d**2 - 75871*d + 70871 = 0.\nAnswer: 1, 131\/9, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -5.95594.\nAnswer: -6.95594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 655 and 318651605.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 24 = 5476*z - 5477*z, 0 = y + 3*z + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 94b?\nAnswer: 95a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jdjdjdjdjjjdjddjjjdd.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3282, -6554, -9826, -13098, -16370, -19642?\nAnswer: -22914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = 12. Let n be (-6)\/(-2) - d\/2. Let u(m) = m**3 - 4*m**2 - 5*m + 3. What is the remainder when 5 is divided by u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689 + 786 - 860 = 22*d - 1013 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from pplplplpppl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-3)\/(-12)*(-120)\/(-100).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4b85 (base 13) to base 9\nAnswer: -15671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*w**3 - 88*w**2 + 88*w**2.\nAnswer: 655*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**2 - 24*w - 7. Give k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 377749*s**6 + s**5 - 46412*s**2 + 2*s - 61.\nAnswer: 45329880*s**3 + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -24?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0494*-0.1.\nAnswer: -0.00494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, g: 9}. Give prob of picking 3 x.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4134 by -318.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -103916*d**2 - 787453?\nAnswer: -207832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.76612644 to 4 decimal places.\nAnswer: 1.7661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 2, m: 1, g: 4, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -104. Suppose 2 = -o, -o = 5*r - 0*o - f. Suppose 0 = 3*u - r - 7. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*((l**(-2\/17)*l)\/l)\/l)\/l)\/(l\/(l\/(l\/(l\/((l*l**(-4))\/l*l))))))**(-2\/99)*l**(-8)*l*l*l*l\/((l**6\/l)\/l*l*l)*(l**0)**(-1\/2) assuming l is positive.\nAnswer: l**(-16928\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**3 + 2*n**2 + 4*n - 4. Let o(c) = -c**3 - c**2 - c + 1. Suppose z - 9 = -6*d + 2*d, 3*d + 5*z - 28 = 0. What is d*q(s) + 4*o(s)?\nAnswer: 4*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 225. Let j(a) = -2*a**3 + 9*a**2 + 114*a - 24. Let f be j(10). Factor -9*u**3 - f*u**3 - q*u**2 - 35*u - 10 - 352*u**4 + 347*u**4.\nAnswer: -5*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4544435 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/7 or -66?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.464*3347.\nAnswer: -24982.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/6*(-15)\/10. Suppose -a*s = 3*d + s + 18, 4*d - s = -4. Let m = d - -4. Solve m*f = 4*l + 5*f + 20, 2*l = 3*f + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 471827*h. Let z(w) = 7*w. Determine v(z(d)).\nAnswer: 3302789*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1326 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234136405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 - 5)*(12*q + 13*q - 20*q - 10) + (3*q - 5*q - 5*q)*(4 + 1 - 6).\nAnswer: 32*q - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*l**6 + 4*l**5 + 586*l**2 + 2*l.\nAnswer: -7680*l**3 + 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14980000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149\/(-447)*2*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 3)*(2*n - n - 3*n - 8) as s + q*n and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*n**2\/2 + 55354*n - 201360.\nAnswer: (n + 10068)*(11*n - 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2144932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 551*b + 7 wrt b?\nAnswer: 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28846c (base 13) to base 15.\nAnswer: 148261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/3 - 288946*x\/3 + 192628 = 0. What is x?\nAnswer: 2, 144471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.04 + -5. Let b = 0.54 - l. Let i = 164 - 167. What is the smallest value in 4, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 50 = 5*m, i - 3*i + 8 = -m. Solve -10 = -i*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 4*n + 3. Suppose -3*b = -8*b - 10. Calculate the remainder when 20 is divided by r(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 + 1.857. What is m rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 4*i - 3*i + 3*i to u + w*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56340 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n + 985. Calculate d(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2274*p + 1 - 1.\nAnswer: -2274*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 27*m - 15*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 - -103. Let u be (1 + j)*4\/2. Solve 3*s = -g + 1, 7 - 1 = -u*g - 2*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -185*b - 3157. Calculate c(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9427 - -9443. Calculate the smallest common multiple of b and 664.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {b: 5, o: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*x - 756*x = -18083 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z**(3\/7)\/z)))\/z*z*z)\/z*z)\/(z*z**11*z)*(z\/(z**(-14)*z))\/(z**(-8)*z) assuming z is positive.\nAnswer: z**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1, 9, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9432983.\nAnswer: 7, 1347569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a = k + 87*a - 4, 3*k + 5*a = 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117728.\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -14494?\nAnswer: 14497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than or equal to -9.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkw when three letters picked without replacement from wwwwwwwwwwwkwww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(208))**2 - sqrt(208).\nAnswer: -4*sqrt(13) + 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-182)\/4)*-13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = -f - 5, -5*o - 5*f = -35. Let m be ((-3)\/(-4))\/(o\/8). Suppose -4*x + 5 = -m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u - 52. Let q(a) = 17*a + 105. Determine 11*j(k) + 6*q(k).\nAnswer: 3*k + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 4*h**3 + 103. Let j(v) = -2*v**2. Determine o(j(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-297)\/165)\/(3\/(-40)). Let c be p - 23 - 0\/1. Solve -3*v = -3*d + 15, -v - 3*d - 6 = -c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 6 = 3*h + 36*p, -2*h - 4*p = -8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000060652 rounded to seven dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -328 divided by 8\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ikiim.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -24889 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6))**(-1)\/(y**(-17)\/((y\/(y**(1\/24)\/y))\/y*y)) assuming y is positive.\nAnswer: y**(287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(209) + sqrt(209) + (1*sqrt(209)*1 - sqrt(209)))\/(sqrt(396)*-2 - sqrt(11)).\nAnswer: -2*sqrt(19)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 397 + (-18)\/12*(-6)\/9. Suppose -3*h + 175 + j = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**6\/135 - w**5\/45 + w**4\/54 + 2*w**3\/27 - 31*w. Factor r(g).\nAnswer: -2*g*(g - 1)*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u**3 - 11*u + 0*u**2 - 61*u**3 - 39*u + 0*u**2 + 126*u**3.\nAnswer: 2*u**3 - 50*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22513733, 22513734, 22513735, 22513736, 22513737, 22513738?\n\"Answer: z + 22513732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/9*9\/6. Suppose b*g + 111 = -a, 2*a + 4*g + 204 = -0*g. What are the prime factors of 1 + (-3 - a\/4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -214, -285, -304, -253, -114, 131?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 - 444*h - 5303. What is w(60)?\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.093, 2, -1\/460908.\nAnswer: -1\/460908, 0.093, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*p + 6*p - 2*p)*(2*p - 4*p - p) to the form a*p + x + l*p**2 and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 - -6. Which is the biggest value? (a) -2\/11 (b) -0.05 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 1 a when three letters picked without replacement from bujavwwujwjjubb?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than or equal to 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = -580 + 160. Calculate the highest common factor of c and 940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2635.4012141 - 2635.4. Round t to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 7*c - 3. Let g be s(3). Let w be (-81)\/(-158) - g\/18. Are 1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - p + 209, 66*p - 61*p - 19 = -s. Solve -3*q = -4*v - 4, s - 82 = 4*q + 3*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/6 and 85\/4874?\nAnswer: 14622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*q - q = -13, q = -3*g + 7. Suppose 2*s - 2 = s. Let d = 2 - s. Which is the smallest value? (a) -0.5 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45855410, 91710822, 137566234, 183421646, 229277058?\n\"Answer: 45855412*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 3773200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1691*h = 2061*h - 1480 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2*i - 3*i)*(2 + 2 - 2) + 3*i + 4*i - 4*i in the form f + m*i and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 2*t)*(5 - 3 - 1) - 144*t + 51*t - 9*t - 129*t.\nAnswer: -230*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4480 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*-3*(-20)\/(-12). Solve 0 = 3*y - 6*y - g*j - 19, y + 2*j = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/13)\/(-24))\/(1\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104963983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 17, -0.4, 0.1, 708 in decreasing order.\nAnswer: 708, 17, 0.4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = x + 4, 4*v + 26*x - 4 = 27*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(480) + sqrt(30)))\/(sqrt(10) + (sqrt(60)\/sqrt(3))\/sqrt(2)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22557 by -219.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -843, -1267, -1691, -2115, -2539?\nAnswer: -2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 57427419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-10 + 6 - -4 - -8) + -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. Let m = 1230 + -1338.1. Let f = m - -108. What is the third biggest value in k, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 + -607bab?\nAnswer: -607b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:48 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, 0.191?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -2*t + 64 - 88, 5*i - 6*t + 3*t = t + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 2\/15, -0.2 in increasing order.\nAnswer: -0.2, 2\/15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111 - -1110010011101111?\nAnswer: 1110010110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-l - 2*l - l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001000101101 - -11100101001?\nAnswer: 1110100101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/12 + 89*n**3\/6 + 2*n**2 - 6*n. What is the tens digit of c(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 12*s**2 - 12*s + 13. Let w be x(11). Solve -2 = -w*n + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 15. Let s be q(2). Let x be ((-11)\/s)\/((-2)\/(-102)). What is the highest common divisor of x and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 26 + 24. Let v = 16 + q. Find the third derivative of -h**3 - 3*h**3 + v*h**3 - 2*h**2 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 + 111\/21. Let u be (9\/15)\/1 - (-17)\/q. Solve -d = -g - 2*g, 0 = -d - g - u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111001110 (base 2) in base 5?\nAnswer: 302203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(16))\/(sqrt(3) - ((sqrt(147)*1 - sqrt(147)) + sqrt(147))) + -1.\nAnswer: -1 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.6 in -2, 0.4, -12\/5, 1\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 24. Suppose 0 = 2*z - 3*z + 14. Is (z\/3)\/(s\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28416*u**6 - 108*u**2 - 27*u.\nAnswer: -3409920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1323696 and 204424?\nAnswer: 133693296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -3*a**5\/80 + 29*a**4\/16 - 131*a**3\/8 - 483*a**2\/8 + 15*a - 17. Determine z, given that l(z) = 0.\nAnswer: -1, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143124 (base 8) in base 16?\nAnswer: -c654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 divided by -313974?\nAnswer: 97\/104658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15885524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 15*j**2 + 15*j - 28. Let o be i(13). Let r = -10 - o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/14 - 7722\/(-378)*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - -10 - -11 - -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27968*p**3*s**2 - 3*p**3*s + 12*p**3 + 29791*p**2 - 47*p*s**2 wrt p.\nAnswer: -167808*s**2 - 18*s + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-108))\/((-741)\/702))\/((-1476)\/(-114)).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 27. What is the remainder when 182 is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*(-44)\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635453 is divided by 408855.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.43269 to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = -15, s + 3*g = 26. Suppose c - 1 = -s. Let v be c*(-3 + 2) + 0. Solve h + v = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*b + 28*b + 58*b + 39*b - 2*b**2 + 2*b**2 - 24*b**3.\nAnswer: -24*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/2*(-10)\/15. Suppose 1 = f*n - 5. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11577 + -11577.07153. What is o rounded to 3 decimal places?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.4, 5, 2\/13, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-2\/13)*p)\/p*p**(3\/7))\/(p**1)**(-26)*(p**2\/p)**26*p**6\/p*p**(2\/15) assuming p is positive.\nAnswer: p**(79727\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 2*n + 3. Let q(z) = -z + 1. Let v(x) = x**2 + 2*x - 1. Let h be (18\/(-12))\/(-2 - 3\/(-2)). Let r(b) = h*q(b) + v(b). Give 4*r(d) - 3*y(d).\nAnswer: -2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m**3 - 5*m**2 - 10. Let w(v) = -13*v**3 - 6*v**2 - 11. Let a(h) = 6*l(h) - 5*w(h). What is the first derivative of a(f) wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 28*f + 145. Give v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 730, 5555, 18656, 44167, 86222, 148955, 236500, 352991?\n\"Answer: 689*o**3 + 4*o**2 - 10*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - (-94)\/(-376)*(-124)\/(-35). What is the closest to -0.1 in k, 5, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153.25 - 154. Let s = -1.05 - x. Sort 3, s, 0.4.\nAnswer: s, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757*p = 763*p - 6. Which is the closest to 0.2? (a) -22 (b) p (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.2 (c) 3106 (d) -1\/9 (e) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Suppose -5*a - 3*q = 0, 10*q + 20 = 6*q. Solve f = -2*n - a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f + 40. Let k(o) = -o. Let c(v) = 3*v + 34. Let q be c(-11). Let r(g) = q*y(g) + 2*k(g). What is the derivative of r(x) wrt x?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/7748 and 15\/386059?\nAnswer: 20075068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 6*z + 1. Let j be h(4). Suppose -279 + 207 = -j*s. Solve 3*r + 1 = 5*l - 6, -s = -5*l + 2*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 49*q - 26. Let o be v(4). Let j = o + 96. List the prime factors of j.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -22. Suppose g = 5*f + 2. Solve -5 = -3*x + f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 2550966*x**2 - 813429717126*x - 813427166162.\nAnswer: -2*(x + 1)*(x + 637741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 12 = 10*u. Suppose -u*v = 91 - 430. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.082531 and 0.021?\nAnswer: 0.103531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*w = 87*w + 3750. Let d = 137 + 58. What is the highest common factor of d and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3 - 2. Suppose 3*i + z - 30 = 0, -2*z - 5 = l. Suppose -f + 40 = 3*b, -3*f - 65 = -5*f - b. What is the remainder when f is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136848663.\nAnswer: 3, 7, 31, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -25, 8, 61, 134, 227?\n\"Answer: 10*x**2 - 17*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyy. Give prob of sequence oyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*b - 25 + 36, 8 = 2*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhohko. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/6)\/(n\/(n**24*n)) assuming n is positive.\nAnswer: n**(145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2\/(-12) - (-8393)\/110. Let w = v - 76. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1741774 and 1.\nAnswer: -0.1741774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*m**4 - 31*m**4 - 6*m**3 + 4*m - 3*m as q*m**4 + u*m + h + y*m**2 + d*m**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 7:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*y - j, 6*j + 27 = 4*y + j. Suppose 9 = n - 2*k, -y*k = -6*k + 6. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298346?\nAnswer: 2, 3, 7, 19, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.864 - 1.136. Which is the biggest value? (a) 14 (b) s (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61038, 2, -1\/2, 0 in increasing order.\nAnswer: -61038, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*i = 0, 0 = -4*f - i - 4*i. Suppose f = 3*j - 9. Solve -b - j*b - 5*a + 6 = 0, -a = 3*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16941285 divided by -201.\nAnswer: 84285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -79*x - 122*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7043.03424 + 7041. Let p = n + 2.142173. Let l = p + -0.108. Round l to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -n. What is the units digit of (16\/n)\/((-16)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.1 + -25.1. What is the fourth biggest value in 0.3, -4, -1\/15, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1151.4 - 1151. Which is the third smallest value? (a) -0.2 (b) 41 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:06 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -34, -31, -28, -25?\n\"Answer: 3*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21493055500 rounded to the nearest one million?\nAnswer: -21493000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*u - 5*l - 6, -5*l - 45 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5851 + 3?\nAnswer: 5854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + (-4)\/6. Let x be (-6 - -12)*(-1 - v). Let r be 0 + x*1*-9. What is the highest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-600))\/(4\/(-60)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 31. Let i be 12\/(-8) - 6\/u. What is the tens digit of i\/2*650\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 140685117047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 - 116251528*q**3 + 6006407868537342*q**2 - 103445048517432478327728*q - 68963368347802961568868.\nAnswer: (q - 51667346)**3*(3*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8131401.\nAnswer: 3, 457, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3303 (base 5) to base 15\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 8*i - 356028 + i - 5*i.\nAnswer: 2*i - 356028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7575 divided by -1515.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1 - 0\/3). Let h be -2 + -1 + (3 - 2). Is 10 a factor of (-1 - h)\/(d\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2653632 by 17.\nAnswer: 156096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*t + 14*t + t = 157904. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.2, 8, -15025.\nAnswer: -15025, 0.2, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*u + 436, 13*u + 146 = 14*u + 2*p. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:45 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114 - 10?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 0 - 30. Suppose -31 = -3*r + 5*t, g*t = -3*r + r - 11. Solve -5 = 7*h - r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27647 and 0.3.\nAnswer: 8294.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -170 and -2.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24\/121 + -359\/242. Calculate the common denominator of q and -119\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**4 - 368*s**3 + 9068*s**2 - 23584*s - 162624 = 0.\nAnswer: -3, 7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.485056 years in millennia?\nAnswer: 0.007485056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 23. Let w be f(-19). Suppose 3*z - w = -2*a, -2*z + a - 2*a + 4 = 0. What is the remainder when 18 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 + 9*t - 85. Let c be n(7). Let a = -213 - c. Solve m - 13 = -5*b, -m - 16 = -2*b - a*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14222\/27363?\nAnswer: -14222\/27363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)*1 - (-15 - -14). Suppose v*x + 5*q = 8 - 3, -4*x - 5*q + 15 = 0. Suppose -4*s = c - 24 + 2, 5*c - x*s = 10. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -27*f**5 + 2358*f**4 - 7599*f**3 + 3216*f**2 + 5028*f + 1008 = 0.\nAnswer: -1\/3, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 50\/6. Let a be (-5)\/((-5)\/x)*1. Solve -2*i + 6 = 0, -4*i = 3*j - 6 - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -5. Let w = f + 10. What is the common denominator of 2\/(-3) + (-30)\/w and -32\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-nine halves of a minute?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 10*w + 18. Let u be a(8). Suppose -u = -6*v + 146. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/15 - 7*f**5\/60 + f**4\/3 - 4*f**2. Let z(q) = -15*q**3 + 13*q**2 - 15*q. Calculate -11*m(t) - 6*z(t).\nAnswer: 2*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 m when four letters picked without replacement from llllllmmllml?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0387432 take away -2389803?\nAnswer: 2389803.0387432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*c + 464*c + 2*n + 9 = 0, 2*c - 4 = n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 30. Calculate u(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -212, -213?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-21\/2)\/(b*b*b\/b**(1\/10)*b*b))\/(b**(6\/7)*(b**13*b)\/b) assuming b is positive.\nAnswer: b**(-1024\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**3 - 3345*b**2 - 143523*b.\nAnswer: -60*b - 6690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2576 = 22*o + 24*o. Solve o*z - 71*z = 60 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*j = 6*b - 20, 4*j = -4*b + 28. Factor -t**3 + 2*t + 0 - 3*t**2 - 1 + 4*t**b - t.\nAnswer: -(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 15*f**2 + 37*f - 23. Let u be q(2). Sort u, -5, 418.\nAnswer: -5, u, 418","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4800)\/(-152) - 712\/(-1691).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 10*l. Suppose k + 2 = o - 0*o, -5*k + 3*o - 16 = l. Let f(m) = 3*m**2 + 9. List the prime factors of f(k).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 z when three letters picked without replacement from {f: 3, z: 2, a: 7, u: 1, q: 3, k: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -7. Let f = 0.5 + y. Let m = -112.2 + 113.2. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -586*m**2 + 3*m**3 - 583*m**2 + 1171*m**2 - 8*m - 2*m**3 + 7*m**4 in the form q*m**4 + z + n*m**3 + b*m**2 + t*m and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -543*a**2*o**2 + 5*a**2*o + 6*a**2 + a*o**4 - 6*a - 9*o wrt o?\nAnswer: -1086*a**2 + 12*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z. Let b be f(2). Factor -1\/2*v**2 + 1\/2*v**4 + b - 1\/2*v**5 + 1\/2*v**3 + 0*v.\nAnswer: -v**2*(v - 1)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 673 = -182. Calculate the highest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(162) - sqrt(162))**2 + (sqrt(162) + 1)**2*6 + sqrt(162) - ((6*sqrt(22)\/sqrt(11))**2 + (4 + -1 + sqrt(2))**2))*3.\nAnswer: 333*sqrt(2) + 2712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-9)\/6)*(-13 + 11 - -4). Is 1\/506 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 - 2*y + 6. Calculate f(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 37. Let c(p) = -p + 1. Let k(u) = -2*u - 22. Let f(g) = j*k(g) + 3*c(g). Let x be f(-5). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-72)\/(-45))\/((-2)\/(-55))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/245)\/((-1)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 + 144. Is 3288\/32 + 1\/j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 64. Let l(s) be the second derivative of -1\/20*s**5 - 5\/6*s**3 + s - s**2 + v - 5\/12*s**4. Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 12 + 23. Let a be (-3 - 0) + (-1 - -6 - k). Let m(s) = -4*s**3 - 4*s**2 + s - 4. What is the remainder when m(a) is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3615 by 5.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 113, 0.1, -6046?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922444195?\nAnswer: 5, 8387, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crll when four letters picked without replacement from {i: 2, r: 2, v: 2, l: 3, p: 1, c: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 + 14*w**2 - 12*w + 2. Let f be p(4). Is (-53158)\/f - 0\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -38*l**2. Let r(k) = 7*k. Determine u(r(h)).\nAnswer: -1862*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*r + 13 = 0, -66*w + r - 13 = -70*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**0*z)**(-46)\/((z*z**(-3\/4))\/z**(1\/8)) assuming z is positive.\nAnswer: z**(-1105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*n - 191 - 3, 30 = i - 3*n. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/5, -8418, -0.5, 4, 0.1 in ascending order.\nAnswer: -8418, -5, -0.5, 0.1, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7078.442 - 7078. Is a less than or equal to 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316135759 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 734468 and 476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((-728)\/(-13))*92.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/42 and 131\/2046.\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**14*(o**(-17)*o)\/((o*o**(-11)\/o)\/o) assuming o is positive.\nAnswer: o**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*m**3 + 1)*(-3*m**2 + 0*m**2 + 5*m**2) - 4*m**5 + 3*m**5 + 2*m**5 - 34*m**5 - 359*m**4 + 32*m**5 - 135*m**4.\nAnswer: 3*m**5 - 494*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 402628, 17, -3, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 = 4*p, -27*h - 4*p = -25*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-195) - (-22)\/10. Is 1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**3 + 9*u + 9. Calculate the remainder when i(-3) is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 0)\/(26\/(-26)))\/1 - 9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + (-388)\/(-6) + 5. Which is smaller: 63 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -16 (c) -0.11 (d) 18 (e) -4 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*w - 28*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15778 + 15780. Which is the nearest to 146? (a) f (b) 0 (c) -4 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87923 - -0.26377?\nAnswer: 87923.26377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)\/j)**45 assuming j is positive.\nAnswer: j**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9302437?\nAnswer: 137, 67901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5440b (base 13) to base 2\nAnswer: -100101001011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 571*y + 825*y + 10 in the form p*y + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3*w - 10*p**2 - 4*w + 50 wrt p.\nAnswer: -6*p**2*w - 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/4 - 8*o**4 - 336*o**3.\nAnswer: o**3*(o - 56)*(o + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 975 and 675?\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 6:15 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - 1010444310?\nAnswer: -1010444224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4619, -4618, -4617, -4616, -4615?\n\"Answer: a - 4620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6 + 4*f - 3*f - f**2 + f + 2*f. What is n(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2632*h = -5204 - 7956 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and ((-3)\/(2 - -1) - -3) + 330?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 + 2884*g**2 - 8670*g = 0.\nAnswer: -1445, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = -6*f + 24*f + 342684. Is f a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 2*b**2 - 2*b**2)*(b**2 + 0 + 0) + 4*b - 3*b**2 - 2*b - 17528*b**4 - 2 + 17525*b**4.\nAnswer: -2*b**4 - 3*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 617300 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -6, 5, 0.4, -24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-303)\/1818*36\/11.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490)*-1)\/(sqrt(320) - (sqrt(320) - sqrt(320)*-1)))**2.\nAnswer: 49\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 23782*l - 71347. Calculate n(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1237*c**2*f**3*x**3 + 1982*c**2*f**3 - 19*c**2*f**2*x**3 + 169*c**2*x**3 + 3*c*f**2*x**3 - 2*f**2*x**2 - 56*f*x**2 wrt f?\nAnswer: -7422*c**2*x**3 + 11892*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.46 - -0.06. Let x = -1.6 + l. Which is the third biggest value? (a) 2\/7 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -9 - 1*-3. Find the second derivative of -2*i**x + 7*i**3 - 2*i + 2*i**2 - 2*i wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2167, 2045, 1843, 1561, 1199, 757, 235?\n\"Answer: -40*o**2 - 2*o + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4095733138 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 5*d**2 + d - 4. Let m be x(5). Let n be (-4 + 3)\/(m\/(-4)). What is j in -4*j**2 - 16*j**3 + n*j**4 + 2*j - 2*j**5 + 16*j**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -635.0000108 + 635. What is k rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*d**2 - 8 + 75*d**2 - 2*d - 21.\nAnswer: -6*d**2 - 2*d - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1232)\/(-280))\/(2*(-4)\/20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = s - 32, 3847*r - 3844*r = -12*s - 111 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 6*b - 2*b - 27, -10*o - 9*o - 21*b = -16*o + 63 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 838009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**2 + 2*f - 1. Let b be d(1). Let w = 2 + b. What are the prime factors of w\/15 + (-57)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.8 + -24. Let o = p - -0.2. Let u = 4 - 2. Which is the nearest to o? (a) 0 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/(-6))\/7)\/(2226\/1908).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a. Let k(r) = -190 + 4*r + 93 + 97. Let n(q) = -2*q**2 + 2*q + 17. Let h be n(4). What is h*k(i) - 3*s(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**2*q**2 - 460616*i**2*q + 6571*i*q**2 - 3*q**2 wrt i?\nAnswer: -14*q**2 - 921232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in 2, 51.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 6:02 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -6. Let h be f + (-10)\/6*-3. Let t(o) = -7 - 4*o**2 + o - o**h + o + o. Give t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:55 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/72)\/(2\/(-4)). Suppose -4*c = 3*r, -2*r = -4*c + 2*r. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 1, -4, -11.\nAnswer: -11, -4, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -31.7 * -0.963975\nAnswer: 30.5580075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(832))\/sqrt(4) + 1*sqrt(13)*-3.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1. Let c(m) = -m**2 + 6*m + 9. Let b(j) = c(j) + 6*f(j). Let o be b(5). Let g be ((-8)\/6)\/(o\/(-12)). Solve 0 = d - 0*d - g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 2557*m.\nAnswer: -m*(m + 2557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*p + 104*p + 112*p + 4960*p**3 + 108*p.\nAnswer: 4960*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7737248*c + 4*b = 7737247*c + 70, 0*c + 2*b = -4*c + 4*b - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*l + 1, -2*l + 18 = 4*b + 3*l. Does 12 divide b*2*(0 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 + -11 - -12 - -5 and 1740.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12492669 to the nearest integer?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -52, -93, -134, -169, -192, -197, -178?\n\"Answer: a**3 - 9*a**2 - 15*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 31*o - 2175. Let h be (o\/20)\/5 - 5\/(-20). What is the biggest value in h, -5, 1.4, -4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + d + 1328, -1324 = -12*g + 9*g + 5*d. Let l = 114 + g. List the prime factors of l.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 5105509*d**2 - 6516573406515*d + 45615763676007.\nAnswer: -(d - 2552751)**2*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4834b + 0?\nAnswer: -4834b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.74613*0.5.\nAnswer: -0.873065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-2*1)\/2). Let o(l) = l**2 - l - 3. Let p be o(0). Let d = p + i. Put 1, d, -5 in ascending order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -698 * 5.\nAnswer: -3490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169.999999404 - -170. Round z to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2227 + 282825\/127. Let k = -667\/1016 - z. Find the common denominator of k and 29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68875, 137772, 206697, 275662, 344679, 413760, 482917?\nAnswer: 552162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5) + -4 - 3*(sqrt(13) + 0).\nAnswer: -2*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 33, 0, -8, -5 in increasing order.\nAnswer: -8, -5, -4, 0, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -2*h - 4*o + 32, 8*h + 1245*o = 1240*o + 183 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 75*i - 23*i + 490 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -93760 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -115, -167, -219, -271?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10649 and 1213646.20698?\nAnswer: 1224295.20698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -m - 9, 0 = -2*m - 3*p - 5. Let w = 2 - m. Let a be 2\/12 + 2\/w. What is the closest to -1 in 0.2, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874485931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 + p + 8. Let h be y(-6). Which is the third smallest value? (a) -1 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1593550770 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532672665 to the power of 1\/2, to the nearest integer?\nAnswer: 23080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -63. Let t(a) be the second derivative of a**3\/6 + 3*a**2\/2 - 3*a - 13. Calculate t(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let q(c) = 170*c**2 - 158*c - 424*c**2 + 80*c + 78*c. What is q(l(a))?\nAnswer: -254*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -4 - -2)\/(4 - 15). What is l in -q*l**2 + 0 - 6\/11*l = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/9 - 4256*h**4\/9 + 7248*h**3 + 2020340*h**2\/9 + 3499058*h\/9 - 1860124\/3 = 0 for h.\nAnswer: -2143, -14, -3, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1647, -6 in ascending order.\nAnswer: -6, 7, 1647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v + 1896 = 1301 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 2?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4) + (-7)\/(-14) - -6. Suppose -u*y - 3 = -4*m, -5*m - 5*y + 1 = -7*m. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3807441689 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24741199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 1:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 + 458.554. Let p = k - -0.046. Let m = 174 - 1215\/7. Which is the nearest to m? (a) 4 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 15*w**2 - 16*w - 31. Calculate a(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 3:04 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -146142?\nAnswer: -146138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 7*h - 6. What is n(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/156 in -3, 2\/11, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -49*h**6\/30 - h**5\/20 - h**3\/6 + 17*h**2 + 2*h + 3. Find the second derivative of v(x) wrt x.\nAnswer: -588*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 + -151. Solve -u = -2*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3030067*p*r - 30057022*r with respect to p.\nAnswer: -3030067*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a + 2. Let g be c(8). Let u = -34 + g. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2230 - -0.2\nAnswer: -2229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 10*l**2 + 9*l - 6. Suppose 3 = -2*c + c, -a = -3*c - 18. Determine o(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2294, 2953, 3620, 4301, 5002, 5729, 6488?\n\"Answer: w**3 - 2*w**2 + 658*w + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-1*-3*-6*6)\/(-2*2*sqrt(1452)*5).\nAnswer: 27*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 20. Suppose -5*t + 58 = 2*g - g, c*t = -2*g + 106. Solve 4*i + g = 4*j + 8, -5*j + 40 = -3*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let z(m) = -7*m**s + 9*m - 3*m + 6*m**2 + 3. Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7156 = 598*m + 6598 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 12*p - 1. Suppose 4*i - d + 20 = 0, 4*d + 18 + 22 = -4*i. Give m(i).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(1331)*3 + 0)*-3 + 2*(1 + sqrt(1331) + -1)))**2.\nAnswer: 4928*sqrt(11) + 1043568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 - -b2?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 19 + 29. What is the nearest to -2 in 1\/8, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(3808\/102))\/((-6)\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445 + 14684\/33. Let v = o + 7\/33. Put v, -4, 0.04 in increasing order.\nAnswer: -4, 0.04, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 1703\/2?\nAnswer: 1703\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 12858130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44018 * 52.26.\nAnswer: -2300380.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543695 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -5 (b) -23\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197503 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: Simplify 3*-3*(sqrt(605) + 0 - sqrt(605))**2*5 + -1*(-2 + sqrt(605)) + (sqrt(605) - ((sqrt(605)*-3 - sqrt(605))**2*-2 + sqrt(605))).\nAnswer: -11*sqrt(5) + 19362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 129, 133, 139, 147, 157, 169?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/7)\/(k\/(k\/(k\/(k**(-2\/29)\/k)))) assuming k is positive.\nAnswer: k**(-478\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-3*-3.\nAnswer: 81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0503 and -0.1?\nAnswer: -0.00503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 204*h**2 - 77*h + 162. Determine d(2).\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 11*c**2 - 15*c + 43. Calculate the smallest common multiple of j(9) and 220.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 10*g + 17. Let c be 1\/2*8*-1. Let u be v(c). Let q = 32 + u. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 18 - 8 - 1. Let d be (0\/(-7))\/((0 + 2)\/(-2)). Determine s(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 26 = -15140*s + 15143*s, -2*s + 3*q = -11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064 and 37544.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 8*i**2 + 6*i - 3. What is r(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -51, 19 in descending order.\nAnswer: 19, -28, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6 - 6. Suppose o*v = -v - 77. Let z(s) = -s**2 - 11*s + 3. Let w be z(v). Solve 3*g - 27 = w*p, g - 2*g = 4*p + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/855 and -157\/30?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9000.318 milligrams in tonnes?\nAnswer: 0.000009000318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19495 and 2555?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1426, -15247, -52780, -125881, -246406?\nAnswer: -426211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -32)*(-7)\/14*42\/28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1 - sqrt(77))*-6)\/(sqrt(22)\/(sqrt(4)\/sqrt(2))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(3\/4)\/c)\/c**(1\/4))\/(c**(-1\/6)*c*(c\/(c*c\/c**1))\/c))\/((c\/((c*c**2)\/c)*c)\/(c\/(c*(c\/(c*c**(2\/19)\/c)*c*c)\/c)))**(-1) assuming c is positive.\nAnswer: c**(146\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) -6\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*((x*x*x\/x**(1\/3)*x)\/x)\/x*(x*x**0)**(20\/7))**48 assuming x is positive.\nAnswer: x**(1520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 2*i**2 - 10 + 5*i**2 - 23*i**2 + 8*i + 19*i**2. Determine s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 392364*x.\nAnswer: x*(x - 784728)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + u + 3. Let c be (1\/(-2))\/((-3)\/(-18)). Let b be y(c). Suppose -i + b = 2*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5 - 9. Suppose 32 = 2*r + 3*g, 2*r - 6 = a*g - 2. Suppose 2*c = r - 6. Solve y + c*i + 14 = 6, -21 = 2*y + 5*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f, 3*n - 3*f - 16 = 2*f. What is the third derivative of 3*k**2 - 2*k**2 - 2*k**2 + n*k**6 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 + 21*y**4 + 12*y**3 - 36*y**2.\nAnswer: 3*y**2*(y - 1)*(y + 2)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 302, 994, 2338, 4550, 7846, 12442?\n\"Answer: 36*o**3 + 2*o**2 - 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/48 and -13\/300048?\nAnswer: 300048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2515041846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 54*b**2 - 175*b**4 - 54*b**2)*(3 - 5 + 0 + 1 - 2 + 2 + (2 + 1 - 4)*(0 - 2 + 0) + 3 - 5 + 4).\nAnswer: -525*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 29322?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7944 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5662 - 0.4662. Which is smaller: 296 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26703672.\nAnswer: 2, 3, 1112653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2 + 4*p. Let g(f) = 5*f**2 - 3*f. Let j(o) = 3*d(o) + 4*g(o). Let a(i) = -5*i**2 + 5*i + 1. Calculate -a(m) + 3*j(m).\nAnswer: 2*m**2 - 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) 1 (b) 873 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-2 - (-5 + 2 + 5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73257687 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 1. Let m = -6 - -6.4. Which is the biggest value? (a) v (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/35)\/(3\/(-60)). Let s be 11\/5*(-3 - g). Solve 2*x = -3*h + s, -x - 14 = -6*h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541*z**3 + 412*z**2 + 2*z wrt z.\nAnswer: 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/7 - 1528*o**2\/7 - 299338*o\/7 - 2842580\/7 = 0.\nAnswer: -377, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13218?\nAnswer: 2, 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**7\/2520 + x**6\/240 + x**4\/4 + 4*x. Let v(u) be the third derivative of j(u). What is v(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2526*y - 191916 = 1280*y - 252*y for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, d: 3, x: 9}. What is prob of sequence dwdd?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, 35, 241, 603, 1163, 1963?\n\"Answer: 7*l**3 + 15*l**2 - 2*l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2152363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 15 - 94*q + 11*q + 27.\nAnswer: -83*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -23, 64, 7, 6, 3 in decreasing order.\nAnswer: 64, 7, 6, 3, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-673 - 112 - 399 - 551 - 1744)*(-2*l**3 + 0*l**3 + 4*l**3).\nAnswer: -6958*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -41*c**3 - c**2 + 2*c + 2. Calculate k(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 2, s: 7}. What is prob of picking 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -434 - r + 486 + 3*r - 3*r - r. Give h(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21972.88 litres in millilitres?\nAnswer: 21972880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4501 in 3\/4, -4.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 5*u = -43*j + 65, 5*u = 140*j - 144*j - 55 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 + 6)\/(6\/(-432)). Let v = b + -430. Solve -v*t + 1 = 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 0.26. Let p = h + 1.2. Let y = -0.46 + p. What is the biggest value in 0, y, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 18*w + 2. Let b be f(18). Suppose 2*z + 566 = -2*p, -4*p + 2 = -6. Let h be 1\/((-55)\/z) - b\/11. Solve -h*o + 11 = -9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*a - 189*a = -p - 1, p + 1 = 4*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o + 3. Let n be b(-4). Suppose 4*q - y + 142 = 620, 2*q + 4*y = 248. Suppose 0*p + q = 3*p. Solve 0*h - 3*h - p = -5*z, -n = -4*z + 3*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/9)\/((-2890)\/36414)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1822894098*f - 276911907710269467.\nAnswer: -3*(f + 303815683)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 + 182005*v**2 + 1811734120*v + 2759264327120 = 0.\nAnswer: -17276, -1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 + 56*h**3 + 180*h**2 + 208*h + 80 = 0. Calculate h.\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/1881 and -93\/418.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(272)*-2 + sqrt(272) + sqrt(272)) + (sqrt(1700) - -1*sqrt(1700)*1)*4)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -451 + 249. Let h = 18.041419 + -220.042309. Let g = u - h. Round g to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*v, -2*t - 5*v + 1460 = -9*v + 1430 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380777 is divided by 138060.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 1276*u = -1275*u - 12, -c + 20 = 3*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**3 - 28*o**3 + o**3 + 12*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from bxtabxbatabaxxx.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:25 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 432, 884, 1346, 1824, 2324?\n\"Answer: i**3 - i**2 + 448*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/c)\/(c\/c**(-11))*(c\/(c*c**(-4)))**(2\/115) assuming c is positive.\nAnswer: c**(-2292\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/5, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1868 = 479*c + 109*c - 361 + 845 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-55) + (-21)\/(-55). Let u = -27 - -25.9. Let f = 0.1 + u. Sort f, y, -2\/5.\nAnswer: f, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) 7 (c) 3\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahaa when four letters picked without replacement from {h: 1, f: 10, a: 5, p: 4}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 + 14.3205?\nAnswer: 2429.3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.3 + 7.3. What is the closest to 2\/7 in 4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-1))\/(-15)*-11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 5, q: 1, l: 1}. What is prob of picking 1 q, 2 n, and 1 l?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - 5*p + p)*(0 + 0 - 4)*(-87*p**2 + 62*p**2 - 78*p**2) as q*p**2 + z*p + t + f*p**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 11, 23, -5, 4 in descending order.\nAnswer: 23, 11, 5, 4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + -1)**2 + sqrt(10)\/(sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4 + 65244*x**3 - 266016096*x**2 - 266081344*x = 0 for x.\nAnswer: -1, 0, 8156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 222 = -3*k + 60, k = -4*v + 1095. Let w = v + -2461\/9. Let h = -87 - -437\/5. Sort -5, w, h.\nAnswer: -5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 44 - 44)*(0*n**2 - 2*n**2 + 4*n**2) as y*n**2 + u*n + w*n**4 + f*n**3 + x and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - m - 3*m)*(-4 + 2 + 6)*(2 + 4 - 2).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v - 72. Let x be 4\/v + (-99)\/81. Put -3, x, 5 in ascending order.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*((m\/(m*m*m\/(m**36*m*m)*m))\/m)\/m)\/m)\/m)\/m)\/(m*m**(-8\/13)))**(1\/85) assuming m is positive.\nAnswer: m**(398\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 292306169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-33)\/((f**(-1\/3)\/f*f*f)\/f**1)*(((f\/(f\/(f**(4\/3)\/f*f)*f))\/f)\/f**(-7))**(5\/7) assuming f is positive.\nAnswer: f**(-292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 247*v**2 + 763*v + 158. Determine u(250).\nAnswer: 3408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*w - 12. Solve a + 6 - w = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**3 + 2. What is k(2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4 - 1)*3\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*c*q**2*u - 3*a*q**2*u + 6*a*q*u + 444*c*q**2*u + 2*q**2 + 4*q*u wrt c?\nAnswer: 2*a*q**2*u + 444*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**7\/1470 - v**6\/140 + 13*v**5\/420 - v**4\/14 + 2*v**3\/21 - 16*v**2. Factor j(g).\nAnswer: (g - 2)**2*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*q, -6 - 14 = -y + 3*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-3) + -2 + 1. Let t be -3 + 3\/((-9)\/(-42)). Let o = -8 + t. Solve -5*d = -k*s - 35, 13 = s + o*d - 0*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 1, t: 2}. Give prob of sequence ttea.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k - 292. Suppose -27*i = -36*i + 333. Calculate the remainder when k is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.813 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11924*z - 214570. Calculate o(-18).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose 0*g = -5*g - 5*h + 45, -2*g - h = -13. Suppose -2*j - 140 = -2*l + p*j, -g*l + 280 = j. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/19, 44, 4, -2\/5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.5977 rounded to one decimal place?\nAnswer: 34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*y - 10*c**3 + c**2*y + 4*c*y + 2*c + 6*y wrt c?\nAnswer: -12*c*y - 60*c + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 2097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(0 - 2 + 6).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjwjwwjjjwj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914 - 119*q + 206 - 464 + 115.\nAnswer: -119*q - 1057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 2*y, -p = 5*y - 14 - 10. Suppose 0 = -3*c - 22 + 10. Let o(u) = 5*u - 2. Let q(j) = -4*j + 2. Let k(l) = c*q(l) - 3*o(l). Give k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112223212 (base 4) to base 7.\nAnswer: 20105314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 15*z**2 + z - 12. Let a be g(15). Let o(i) = i**2 + i + 1. Let y be o(-2). Let u = y - 3. Sort u, -5, a in decreasing order.\nAnswer: a, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3083 (base 9) to base 2\nAnswer: 100011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {m: 2, s: 1, k: 1, c: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19120 != 19120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -345 in -5, 135\/14, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/11))**(3\/31)\/(r**(-5\/8)\/(r**(-22)\/r)) assuming r is positive.\nAnswer: r**(-60967\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -53. Suppose -7 = -u*t + 3*d + 6, t - 1 = d. Suppose -t*z - 1253 = -2*g - 146, 2*g - z - 1087 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 10020?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*u + 45, -12*w + 7*w - u + 45 = 0. Calculate the greatest common factor of w and 285.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, d: 10}. What is prob of picking 4 d?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*d**4 + 145*d**3 - 155*d**2 - 25*d.\nAnswer: 5*d*(d - 1)*(d + 5)*(7*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*y. Let z(r) be the second derivative of 0*r**3 + 0*r**2 - r + y - 1\/12*r**4. Let n(v) = v**2. Give n(z(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 410 and 22.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 + 5)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -7)*-1 - -37. Suppose -o*h = 4*u - 30*h - 105, u - 5*h - 20 = 0. Let n = 228 + -156. What is the remainder when n is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-140)*-7*(-8)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = j. Let w be ((-28)\/(-49))\/(j\/(-14)). Let s(t) = -3 + 2*t + 0*t**2 - 3*t**2 + 2*t**2. Calculate s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.1, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36603 divided by -2443?\nAnswer: 5229\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y - 4. Let g(u) = -u**3 + 28*u**2 - 16*u - 38*u**2 + 28*u**2 - 20. Let d be g(17). Give f(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143.4 + 143.399997468. What is c rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-30))\/((-8)\/(-100)). Solve 2*l = 6*l + i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 26, 92, 218, 422?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 12 = 2*a. Let r = a - 4. Solve 4 + r = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i, -4*j + i + 258 = 1507. Round j to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -2\/11 (b) -61031 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 135\/21 - 15\/35. Suppose k*z + 308 = 13*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*u + 346 = 353, -5*p - 7*u = 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 3645827?\nAnswer: -3645822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 8*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c**2 + 0*c - 155*c**2 + 0*c - 196*c**2.\nAnswer: -267*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = f - 3*s + 8*s, 2*s + 14 = 4*f. Let v be -2 + f + 4 - -2. Solve -y = 1 - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {q: 1, f: 1, t: 4, z: 1, g: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*f + 6*f + 4 = 0, -3*f = 5*u - 13. Suppose 3*a + 6 + 6 = 3*n, a = u*n - 7. Suppose 0 = 4*k - n*t - 16, 0 = 3*k - t + 3*t - 29. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392080172 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/48*3928*-6. Let o = -2645 + z. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 60320590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*k - 3)*(2 + 1 - 2)*(-2*k - k + 2*k)*(1 + 0 + 1).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1769 + 2501. List the prime factors of z.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 7:00 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192519412?\nAnswer: 2, 7, 1627, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 4037330.\nAnswer: 28261310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/6 and 145\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 216*t - 9272. What is z(-59)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/6)))\/(x**(-2\/3)\/x*x))**16\/((x\/(x**(2\/3)*x))**(-16))**(3\/19) assuming x is positive.\nAnswer: x**(664\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 + 3. Let d be i(0). Let h(b) be the first derivative of -b + 5\/3*b**d - 3 + 5\/2*b**2 + 1\/4*b**4. What is h(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(6\/4 - 1). Suppose 3*y = -4*m + 21, y + 8 - 23 = -4*m. What is the third derivative of c*x**y - x**2 + 2 - 2 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -23. Let r(b) = 2*b**3 + g - b**3 + 50*b**2 - 22*b - 67*b**2. Is r(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212300033 (base 4) to base 3.\nAnswer: 22001202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/78639 and -25\/235917?\nAnswer: 235917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11440, -11570, -11606, -11548, -11396?\nAnswer: -11150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330821 is divided by 6848?\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(52) + 3.\nAnswer: 6 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/(3*5\/45). Are 0 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.45 + -0.55. Let d = -3401\/4 + 850. What is the closest to d in 24, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 5 - 35. Solve 9 = 2*w + 4*a - j, 2*w = a - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**2 + 305*p - 2010 = 0?\nAnswer: -67, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-80))\/(3\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175 - -189. What is the greatest common factor of g and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/4)\/l**(-1)*(((l**(3\/7)\/l)\/l)\/l)\/l*l\/(l**(-1)\/l*l)*l*l*(l\/l**(-5\/6))\/(l**(-2)*l)*(l**0*l)**5 assuming l is positive.\nAnswer: l**(757\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - -3 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:46 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:53 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 232, 482, 708, 898, 1040?\n\"Answer: -2*r**3 + 264*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -37 + 55 + 35?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504930300 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2781260556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4446\/6)\/((-90)\/(-223612)) + 3. Let g = x + -1849216. Let h = g + 8146. What is the common denominator of -57\/2 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 20, -22*c - r = -19*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/7)*f*f*f)\/(f*f*f*f*f*f*f**7) assuming f is positive.\nAnswer: f**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45076127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*y, -879 + 843 = -4*t + 2*y. Solve w = -5*f - 12, 4*w + 12 = -2*f + t*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 2:19 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32501856.\nAnswer: 2, 3, 19, 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211.35 - -212.35. Let u = 0 + 1.5. Let b = 2 - u. What is the third smallest value in 5, b, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4290.642 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.33 - -5.33. What is the second biggest value in -5, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + -26. Is t a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + h + 128*h**2 + 2*h**3 + 69*h**2 - 66*h**2 - 105 + 102 as x*h**3 + y*h**2 + k*h + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -18809 (c) 0.0531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 535\/3 less than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8466, -33910, -76316, -135684, -212014?\nAnswer: -305306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = 43. Find the second derivative of 39*a**4 - a**2 + 18*a - x*a - 4*a**4 - 6*a**4 wrt a.\nAnswer: 348*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 3 - 35 = 0. Suppose -2*g + r - y*r = -92, -135 = -3*g - 3*r. Let j = g + -43. Let k(t) = t**2 - t. Calculate k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 77 - -77a8a?\nAnswer: 77b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2. Let b(n) be the first derivative of 2*n**2 - 4*n - 314. What is b(u(c))?\nAnswer: 16*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 5*k**3\/6 - 3*k + 1. Let s(m) be the first derivative of h(m). Let z(q) = -q. Calculate z(s(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(605) + (sqrt(605) + sqrt(605)*1 + 3)**2 + sqrt(605) - (2 + -2 + sqrt(605) + 3).\nAnswer: 154*sqrt(5) + 2423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110502?\nAnswer: 2, 3, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (87 - -26) - -7 - 6?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -12.09301\nAnswer: 19.90699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/43 + 197\/129. Let i = -5802\/11 + 528. What is the second smallest value in n, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**2 + 4*l + 9. Let i be (-1280)\/680 - (-2)\/(-17). Let o(n) = -3*n**2 - n - 2. Calculate i*k(h) - 9*o(h).\nAnswer: 5*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -450*r + 435*r + 360, -3*r - 108 = -2*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1\/288*z**6 + 1\/6*z**3 + 7\/480*z**5 + 0*z + 2*z**2 + 0 + 1\/48*z**4. Let s(f) be the first derivative of g(f). Factor s(r).\nAnswer: (r + 1)*(5*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**3 - 69*x**3 + 29*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/60 + b**4\/4 + 7*b**3 + 47*b**2\/2 - 237*b. Let l(p) be the first derivative of g(p). Determine l(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-2)\/(-7))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4243524.\nAnswer: 2, 3, 353627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/3)\/((-21)\/(-6)))\/(734\/1101)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 140*q**2 + 1412*q - 1548 = 0. What is q?\nAnswer: -9, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z + 1420. List the prime factors of u(0).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781103 is divided by 93740?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 915837 and 1719549?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1035597\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**2 - 1573*b + 1573*b - 1 as d + z*b**2 + s*b and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.1, -0.5, 4, -2.\nAnswer: -5.1, -2, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 14. Let h(w) be the third derivative of -w**4\/8 - 51*w**2. What is h(s(v))?\nAnswer: -6*v**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.2. Let f be (2\/4)\/((-2)\/24). Let r be 30\/(-15) - f\/4. Put b, r, 1\/2 in decreasing order.\nAnswer: 1\/2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15462567389 and -1.15?\nAnswer: 15462567387.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83993 is divided by 8381?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212120 + -1200?\nAnswer: 2210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 7*h - 29. Is a(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 14*j + 20. Determine m(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -43.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2. Let g(l) = -8*l + 39*l - 19*l. Give v(g(z)).\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017565 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-7))\/(-9*1\/42). Let a be (3\/8)\/(i\/16). What is the second smallest value in 0.1, 1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25414.6 years in decades?\nAnswer: 2541.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13729836?\nAnswer: 2, 3, 1144153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 680996501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 2*t - 1. Let h be w(-1). Suppose 0*n + 5 = -n, -h*n - 20 = -2*c. Suppose -4*f + 12 + 156 = c. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*d + 39*d - 613*d = -11645 - 14399 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose 0 = -n - f*n + 1. Let b = n + 3. Solve x = 3*a + 2*a - 30, 15 = -b*x - a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*4\/6*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -53 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 5*i + 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/55)\/((4\/20)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = -2*w. Let f = w - -8. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(1\/1) + (-304 - 47)\/(-39)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = -2*w, 3*f = -2*w - 0*f - 5. Let h = -8 + -1. Let n be (-6)\/(-15) - h\/(-10). What is the biggest value in n, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168423410 divided by -60715\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 41*k - 9. Calculate u(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-48)\/(r*r**(-26))*(r**(1\/25))**(-37) assuming r is positive.\nAnswer: r**(-612\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64988 or 8806?\nAnswer: 8806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147839\/5 - 29567. Let z be 2*1\/6*15. Find t, given that -2\/5*t**4 - 16\/5*t**3 + 8\/5*t + x*t**2 - 2\/5 + 8\/5*t**z = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 7*p - 10 + (-3 + 3 - p)*(-1 + 1 - 2) + 33*p + 10*p - 11*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3679.743t to milligrams.\nAnswer: 3679743000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 14. Suppose 3*r = 7 + b. What is the derivative of 7*c**3 + 6 - 3 + 5 - r*c**3 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 8075 + 1885. What is the third derivative of -1245*l**5 + 163*l**6 + 97*l**2 + z*l**5 wrt l?\nAnswer: 19560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 35*f = -220 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5684 and 28420.\nAnswer: 28420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14334886 to the power of 1\/2, to the nearest integer?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/17)*v*v*v*v**(-3\/5)*v*v*v)\/(v**(-15)*v**(-4\/7)) assuming v is positive.\nAnswer: v**(13143\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from lxlxgll?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrb when three letters picked without replacement from rpkbhdr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2572000 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*r + 5, 5*v + 0*r - 2*r - 17 = 0. Suppose -2*d - v*w = -8, -w - 3*w = d - 4. Let i = d + -2. Solve -4*m = -4, -4*l - 3*m = i*m - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**12)\/r*r**(2\/53) assuming r is positive.\nAnswer: r**(-634\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 2*m**4 + 0*m**4 + (m**3 + m**3 + 0*m**3)*(3*m + 4*m - 4*m) + 508*m**4 - 424*m**4 - 369*m**4 - 2*m**2 + 4*m**4 + 2*m**2.\nAnswer: -274*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -0.1 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1250)\/(-15)*6\/4. Suppose 243 + w = 5*c + 4*q, -4*q - 164 = -2*c. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 3*w = -43*i - 24, -15*i - 4*w = 63 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40049 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 502*f**2 + 3*f**4 + 0*f - 239*f**2 - 77*f - 40*f**2 wrt f?\nAnswer: 12*f**2 - 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -154177, -154273, -154369, -154465, -154561?\n\"Answer: -96*x - 154081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3192 and 272517?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 231420401 (base 6) to base 5\nAnswer: 2043421122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-7) - (-2)\/7. Let v be 19\/(-8) + 2\/l. Let n = -0.7 + 0.4. Sort n, 1, v in descending order.\nAnswer: 1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 19.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(25\/(-6)))\/(27\/720). Suppose -c = 7 - z. Calculate the highest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648032 by 29456.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, 4*u + v - 4459 = -1047. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x. Let m(h) = h**2. Let j(q) = q**2. Let u(r) = 3*j(r) - 4*m(r). Calculate u(a(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(24)\/sqrt(3) + sqrt(8) - sqrt(8)))**2 + sqrt(180) + 1.\nAnswer: 6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.95 - -1. Let q = -0.08 + m. Round q to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 28*c**4 - 13*c**3 - 130*c**2 + 132*c + 72 = 0. Calculate c.\nAnswer: -2, -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100110110 (base 2) to base 11\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k**2 - k**2 - 3*k**2)*(-3 - 1 + 2) - 5*k**2 + 3*k - 1916 + 1916 to the form t + p*k + u*k**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 2*l**3 - 3*l**3 - 5*l**3 - 10*l**3 + 4*l**3 + (-2*l**2 + l**2 + 2*l**2)*(-4*l + 4*l + l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (1 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s**3 + 12*s**2 + 2*s + 6. Let y(v) = v**2 + v + 1. Let k(d) = -a(d) + 6*y(d). What is the third derivative of k(b) wrt b?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3586*k = -3636*k + 12 + 538 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*g - 7233 = 161*g - 1139 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**41)**(-14) assuming l is positive.\nAnswer: l**(-1148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 10*a - 6. Let m be g(-9). Suppose 2*p = m*n - 8, 5*p = -n + 20 - 6. Put 0.2, 2, n in decreasing order.\nAnswer: n, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/323 - -24239\/646. Let h be 8*29\/(261\/18). Factor v*l**3 - 85\/2*l**2 + h*l - 2.\nAnswer: (3*l - 1)*(5*l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137920 is divided by 568927?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.5604475ms to hours.\nAnswer: 0.00000154456875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.33773 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - k = -84 + 312, -213 = -h - 2*k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9650032 or 125450434\/13?\nAnswer: 125450434\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, b: 1, q: 1, w: 4}. What is prob of sequence tqwt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*y = 3*b - 10, -4*y - 24 = -4*b. Suppose -8 = -b*v + 58. Suppose v = -16*p + 17*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*p - p**3 - 106*p**4 - p**3 + 104*p**4 as m*p + h*p**2 + i*p**4 + f*p**3 + n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8644 and 2593200?\nAnswer: 2593200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/77*-70)\/((24\/33)\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4996.\nAnswer: -1\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1682 divided by -16.\nAnswer: 841\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (61 + -6 + 8)*-5. Let x = o - -321. Let v(j) = -j**3 - 6*j**2 + 2*j - 8. Let u(r) = -r**2 - 1. Determine x*u(a) - v(a).\nAnswer: a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 562 - 320. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233992 (base 10) to base 13\nAnswer: 82675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 y, and 1 l when four letters picked without replacement from {y: 2, l: 1, w: 2, c: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 16}. Give prob of sequence eee.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29942648 by -8.\nAnswer: -3742831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 + 4. Let s be 2 + 5 + 1*4*426\/(-240). Which is the biggest value? (a) -3 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 390, 879, 1572, 2463, 3546?\nAnswer: 4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 85. Let n = 57 - c. Solve 0*r + 5*a = -2*r - 25, 20 = -r - n*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6957\/11 + 631. Suppose -5*p - 2 + 12 = 0. What is the common denominator of o and p\/5 + (-362)\/30?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2415*v = 2424*v - 11727. What are the prime factors of v?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -8. Let i = -8 - s. Let w = 1170 - 12872\/11. What is the third smallest value in i, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 169*x + 7948. Let z be k(-47). Solve -z*m = -2*j - 21, -56*m + 58*m = -j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -860 and 74.152?\nAnswer: -63770.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.087 and -1.053.\nAnswer: 0.091611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, a: 2, q: 4, h: 4}. What is prob of sequence aeh?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -49893*v. Let m(c) = 789*c. Give m(n(r)).\nAnswer: -39365577*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449*b**2 + 1020*b**2 + 438*b**2 + 750*b**2)*(4 - 5*b - 4).\nAnswer: -8795*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) 2 (d) -0.312 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dthpdrktddhtht. Give prob of picking 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:54 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) - -1*sqrt(2178))\/(sqrt(18)\/(sqrt(48) - sqrt(3))) + 3)**2 + 0.\nAnswer: 396*sqrt(3) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*n - 14. Calculate the remainder when (-1320)\/72*(-27)\/15 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4237 and 2325221.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = t. Let z = -10 + 18. Let i be (z\/(-6))\/((-2)\/6). Solve -t*s = -2 - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 2, -2, 3.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/9)*36\/(-27). Let x(h) = -3*h - 5. Let t(o) = 1. Let p(a) = -4*t(a) - x(a). Determine p(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3943 + -27603\/7. What is the closest to b in 0.05, -17, 7\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (-6 - -5 - (-16 - -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 11*c + 18)*(-2*c**2 + 2*c**2 - 2*c**2)*(-1 + 2 - 3) to the form g + s*c + n*c**2 + l*c**3 and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1553 + 8.3457. Let z = -0.596 - -0.595. Let r = z + t. What is r rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 53. What is the remainder when 636\/5 - (-3)\/(-15) is divided by n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-1\/34))*(((w**(3\/13)\/w*w)\/w*w)\/w*w)\/w)\/(((w**(-2\/5)*w*w)\/w)\/(w*(w*w**(-15\/4)*w)\/w)) assuming w is positive.\nAnswer: w**(-13917\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -61*p + 9. Give d(2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3986 is divided by 1412?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6838*g + 2*g**4 + 2*g**3 + 6838*g - 39*g**2 as s*g**4 + j*g**2 + x*g + l + p*g**3 and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)*w*(w\/(w\/(w\/w**10)))\/w)\/(w**(-2\/17)\/(w*w**(7\/3))) assuming w is positive.\nAnswer: w**(-979\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -acb9 (base 15) to base 7.\nAnswer: -211530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 4*k)*(-208*k - 1099*k + 50*k).\nAnswer: -2514*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27986 + -15756124\/563. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 24*b**2 + 14*b + 94. List the prime factors of f(11).\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233820 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, l: 1, h: 6, p: 7}. Give prob of picking 2 p.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 2, 0.02, -2, -30, 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16181471.5 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170548, 170560, 170572, 170584, 170596, 170608?\nAnswer: 170620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 36642.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001022058509 to 5 dps.\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.097 (b) -4 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6535\/3 or 2178?\nAnswer: 2178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v**(-1\/10))\/(((v\/v**0*v)\/v)\/v)**(-5\/9)*v*v\/(v\/(v*v\/v**5))*v**(-2\/17)*(v\/(v\/v**(1\/2)))**(10\/11) assuming v is positive.\nAnswer: v**(-14517\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfgggggfff. Give prob of sequence ff.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121012210 + 1222?\nAnswer: -121010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6211 times -10?\nAnswer: -62110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -323917280 and -323917275 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u - u)*(-477*u - 2180954 + 2180954).\nAnswer: 477*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35607 and -121.6.\nAnswer: -35728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - f = -8, 0 = -i + f. Let k be 11\/i - (-2)\/(-4). Calculate the greatest common factor of 55 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:34 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*t - 21. Let b = -3 + t. Suppose -2*a = -b*a - 2. Calculate the lowest common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 4.98. Let a = -236789 - -236791. Put y, 3, a in descending order.\nAnswer: 3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.779 * -0.3111\nAnswer: -0.5534469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 - 8*d - 5. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 + 276. Solve n*a - 14*a = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 433218.\nAnswer: 27725952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -15566.1.\nAnswer: 466983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0521 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*x + 6. Suppose -11 = -2*t + 4*t - d, 0 = 5*t + 4*d + 21. What is the remainder when 20\/(-8)*6\/t is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 280*k**2 + 1212*k - 21156. What is j(284)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 187\/(-12) + 3\/(-18). Let o = -142969\/20 + 14265\/2. Let r = o - n. Which is the nearest to -1? (a) r (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 724 = -806*h + 810*h. Suppose -16*l + 15*l = -h. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011101111111100 - -1?\nAnswer: 1101011101111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -66360\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35666 (base 7) in base 6?\nAnswer: 110512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -685659 + -4?\nAnswer: -685663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 - 125. Suppose -2*h + 2 = -8, -4*h = -w - a. Let i = w + 93. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmmz. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 10 + 25. Suppose -s*h = z - 25, 0 = -3*z + z + 3*h - 2. Solve 25*x**3 + 21*x**2 + 8*x**z + 20*x**4 - 3*x**5 - 11*x**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524748 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**3 + 95271*f**2 - 288734.\nAnswer: 9*f**2 + 190542*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2657570.4 months?\nAnswer: 221464.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2253.\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 90548?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28966.302 months in millennia?\nAnswer: 2.4138585","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 1905314.42 rounded to the nearest ten thousand?\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/54)\/((-15)\/(-12)*-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/6281, 4\/5, 2\/5, -220.\nAnswer: -220, 2\/6281, 2\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 10*f**2 - 25*f + 222. Determine p(11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 110000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1150 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047258241 to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.09101?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u - 8. Suppose i + 5 = u. Is (-6)\/i*-1 - -108 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*c**4 - 7148*c**3 - 6846*c**2 - 45*c - 3?\nAnswer: -1872*c - 42888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 15f?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 3*m = -1017, -176*p + 171*p - 4*m + 80 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26709 divided by 1394\nAnswer: 26709\/1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2367 - -3525\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i - 9. Let c(s) = 35*s + 30. Let f(n) = 2*c(n) + 7*d(n). Let r(w) = w - 1. Calculate f(z) - 4*r(z).\nAnswer: -11*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/4 + 3*d**2 + 3*d - 8.\nAnswer: -(d - 2)**2*(5*d + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/18851364 and 23\/223704?\nAnswer: 490135464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 19779147.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 10:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 1, h: 1}. Give prob of sequence jhu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901794 is divided by 829.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -36011 take away -0.6?\nAnswer: -36010.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwllllllwlwlllllll. Give prob of picking 1 w and 1 l.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 10*k**2 + 24*k + 23. Let l be u(-7). Let w be (-3)\/(0 + -1) - -1. Sort 1, l, w.\nAnswer: 1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - 2. Let a be -1*(-2)\/((-4)\/(-6)). Let p be t(a). Let r be (13 + 2)*(-78)\/(-10). What is the highest common divisor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1157*c - 591*c - 1459*c - 615*c - 81*c**2 - 871*c wrt c.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2299*s**2 + 6918*s + 73. Calculate d(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14608 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 89*i\/3 - 176\/3.\nAnswer: -(i + 2)*(i + 176)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/84)\/((-3)\/24) and 2\/23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 7*m - 12. Suppose -4*j = -3*b + 70, -20 = -b + 5*j + 18. Calculate the greatest common divisor of b and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 24, -4362*x + 39 = 3*v - 4366*x. Sort -855, -4, v, -3 in decreasing order.\nAnswer: v, -3, -4, -855","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 4*d**2 + 165*d.\nAnswer: -d*(d - 15)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p + 6*p - 198. Let o be (-1 - 65)*(-6)\/4. Let b = 140 - o. What is the remainder when b is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -4*q**2 - 49*q - 11062. Determine m(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnggggnnngnnnggg. What is prob of picking 2 n?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n = 40*n - 2*h - 1, -6*n = h + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 430?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwxx when four letters picked without replacement from {w: 4, x: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1305)\/(-2) + -5 + (-11)\/(-2). Let v = -368 + a. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.19 + -9.09. What is the nearest to -1\/4 in -3, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -47599700 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 7. Let b be m(0). What is the units digit of b*(-2 - -3)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54329302 >= 54329302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(-1))**(-32\/3)*(p*p**(-6)\/p*p)\/(p**(-6\/7)*p) assuming p is positive.\nAnswer: p**(-1004\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.311 * -2.\nAnswer: -0.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 383?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129.32? (a) 2 (b) -4 (c) -1\/4 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q - 3*q - 2*q + 0*q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-138)\/(-948)))\/(-1) + (-161)\/23.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -m. Let w(j) = -j**3 - 3*j**2 - 2*j. Let d be w(m). Solve y + 4*k = 5*y, d = 4*y + 3*k + 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 0*s**2 - 5*s**2 + 2*s in the form o*s**2 + a + i*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024629888 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*o + 320, -136 = -4*o - 5*x + 196. What is the remainder when 633 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.44765 - -2172390.55235. Let o = 2172439.3999978 - c. Let l = -2.4 + o. What is l rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -488*z**3 - 1033*z**2 wrt z.\nAnswer: -2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = -0. Let s(b) = -218*b + 1 - 2 + 207*b. Let z be s(c). Solve -3*h + 0*h - v + z = 0, 4*v - 16 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1885)\/(-2600) + (-4)\/32.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - -21. Let c be (-705)\/(-105) + (-3)\/((-21)\/2). What is the greatest common factor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = -11*x + 2*x. Which is smaller: x or -53?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17198 - 103183\/6. Let d(z) be the third derivative of 1\/96*z**6 + 0 + 0*z**4 + 0*z - r*z**3 + 24*z**2 + 1\/16*z**5. Factor d(w).\nAnswer: 5*(w - 1)*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/3 - 3\/(-9). Suppose 3*q - 9 = 0, -2*t - o*q + 0 = 2. Let g = -4 - t. Solve u - 3*h + 7 = 0, -11 = -3*u + h - g*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 39127?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44661*g - 89286*g + 44649*g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57.62 and -248576?\nAnswer: 14322949.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/720 - q**4\/24 - 3*q**2. Let k(j) be the second derivative of a(j). Let y(z) = 4*z - 2*z + 0*z. Calculate k(y(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442, -438, -420, -382, -318, -222, -88, 90?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*x + 132, -x - 63 = -2*h - 12. Let c = 60 - h. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 7. Give r(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10321437.\nAnswer: 3, 7, 491497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(((-15)\/(-9))\/(-5)). Let r = 21 - b. Suppose 4*v = v + r. Solve -3*x - 20 = -4*o, 2*o = v*x + 6*o + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -4. Let i be -18*a\/(-6) + -3. Let u(s) = s**3 + 17*s**2 + 10*s + 7. Is u(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 438121\/165 or 2655?\nAnswer: 2655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*f**4 + 65*f**2 - 114*f**2 - 63*f**4 + 86*f**2 + 2*f**3 + 2 as g*f**2 + c + v*f**4 + l*f + p*f**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14129737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 15. Let z(l) = -1278*l + 890. Let f(n) = -10*c(n) - z(n). Differentiate f(r) with respect to r.\nAnswer: 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44417182*c - 38113608 wrt c?\nAnswer: 44417182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 87*m**2 + 2*m**4 + 8 + 0*m + 2*m**3 + 87*m**2 to the form u*m**2 + g*m + r*m**4 + v*m**3 + c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -30. Suppose y = -0*y - 4*z - 17, 2*y + a = -3*z. Is 2\/105 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957028 divided by 14284.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -480?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 17*g - 19*g to the form c*g + k and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3443, -6893, -10343, -13793, -17243, -20693?\nAnswer: -24143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/3 - 7*u**2\/2 - 6*u. Suppose 0 = -t - 6. Calculate d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2240)*2 + sqrt(35))\/(sqrt(42)\/(sqrt(6) - sqrt(96)))*-3)**2 + -3)*1.\nAnswer: 117042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.8 + 8. Let z = 7878.738887 + -7865.939. Let x = z - k. Round x to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -33577?\nAnswer: -33573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 949024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 + 5*i**2 + 0 + 4 wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000269642 to 7 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-8)\/240*-6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -23*a - 8. Let f be a\/6*41\/(-10414). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 21*q**2 - 72*q - 38. Calculate the lowest common multiple of 2220 and l(-17).\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 3) to base 13.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.27. Let m = -198 - -202. Put m, -2, r in increasing order.\nAnswer: -2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(1 + 1)\/1. Let i(z) be the third derivative of 1\/120*z**6 - 1\/12*z**5 + 0 + 1\/6*z**3 + 16*z**2 + 0*z + 5\/24*z**4. Calculate i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194933145*y**3 - y**2 - 23131867 wrt y?\nAnswer: 1169598870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -644. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:25 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1011 (b) -3 (c) -0.461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4015*f**3 - 45792*f**2 + 45792*f**2.\nAnswer: 4015*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + -7 + 5 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -17.6?\nAnswer: -598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 61 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31687420 to the power of 1\/2, to the nearest integer?\nAnswer: 5629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 618981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66349, -265192, -596537, -1060384?\n\"Answer: -66251*x**2 - 90*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39374 is divided by 365.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0 + 2*j + 5 - 9*j + 8 + 0. Calculate c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -168, -182, -212, -264?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 59 - 1\/2*b**2 + 0*b. Let c(t) = -130*t. What is q(c(o))?\nAnswer: 130*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:14 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*j - 3416 = -254*j + 2249 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(-6*14\/252)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 16*d - 9. Give p(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98932 + 158439. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2201202221?\nAnswer: -2201202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272 - -1627\/6. Let k = -6\/3989 - -387149\/143604. Find the common denominator of v and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17*l**3 + 2. Let p(u) = 85*u**3 - 11. Calculate 22*i(w) + 4*p(w).\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2079168 + 2.17.\nAnswer: 2079170.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1952, 5.\nAnswer: -1952, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 373003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + -12.95. Let p = 16.6 + 0.4. Let r = d + p. What is r rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183090051 and 10770003.\nAnswer: 183090051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13722428*a**2 - 23774*a - 214.\nAnswer: 27444856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*n - 1 = 0, 3 - 35 = 5*z + 4*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 14) + (58 - (13 - -27)) - 37\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10580 divided by -5?\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -0.3 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1211*u**2 + 2430*u**2 + 2 + u + 13*u**4 - u**3 - 1218*u**2 as h*u**2 + g*u**3 + l + v*u + f*u**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/7 - (129570\/(-49) + 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17047 + 29464. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + -521?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 + 5*j**2 - 6*j. Suppose 3*x - 20 = -2. Let c(s) = 4*s**3 - 4*s**2 + 5*s + 1. Let h(r) = x*c(r) + 5*n(r). What is the units digit of h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 23 = 10 + 30 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1798 (base 12) to base 8.\nAnswer: 5444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*t + 169346425 = -13443875. Round t to the nearest 10000.\nAnswer: -1490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 3. Let n(b) be the third derivative of b**5\/60 + b**3\/6 - 2006*b**2. Determine -3*n(r) + s(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17497 + 6438891\/368. Calculate the common denominator of 41\/92 and d.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 3 - (3 + -2) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-10368534)\/(-12))\/11)\/((-2)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/(-1960))\/((-15)\/21)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r + 4*t, 4*r + 2*t = 2*r + 12. Suppose -r*i = -i - 45. Let k = i - 10. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 - 168. Let s be 35012\/(-120) + (-9)\/(-15). Let z = q + s. What is the common denominator of z and 27\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340150.\nAnswer: 2, 5, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 4. Let r be y(7). Let i(t) = r*t + 8*t - 2*t + t. What is the tens digit of i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 21. Let k(x) = -x - 20. Determine -2*f(y) - 3*k(y).\nAnswer: y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3078 and 65\/1368.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -230, -627, -1294, -2369, -3990, -6295, -9422, -13509?\n\"Answer: -23*d**3 + 3*d**2 - 245*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6110083, -6110080, -6110077, -6110074, -6110071?\nAnswer: -6110068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/3 + 40*s**3\/3 - 60*s**2 - 120*s + 594 = 0. Calculate s.\nAnswer: -3, 3, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47\/85 - -6\/17. Let l = 0.14 - 0.24. Which is the smallest value? (a) l (b) s (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - -2579268?\nAnswer: 2579251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a - 0?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 399176151 divided by 133058717\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**18*q*q*q**(-27\/7) assuming q is positive.\nAnswer: q**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 = -t, -3*o - 4*t + 7*t = -30. Let k(w) be the second derivative of 1\/2*w**4 + 0 - 2\/3*w**3 + 4*w - 1\/10*w**o + 0*w**2. Factor k(u).\nAnswer: -2*u*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 5)*((-i + 0*i - i)*(3 - 2 + 1) + 112*i + 115*i - 221*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -15. Let u be 64\/(-40)*(-50)\/4. What is the highest common factor of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9028 and -0.011299?\nAnswer: 9027.988701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18 - -14)*6\/(-4). Solve -4*c + 2*x + l = 32, -3*c - 32 = -4*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 689846*t - 3449280.\nAnswer: 2*(t - 5)*(t + 344928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1705 divided by -341\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 6*m + 1. Let x be q(5). Let t = x + -7. Does 7 divide t\/(3 - 219\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 74, 43, -8, -85, -194?\n\"Answer: -i**3 - i**2 - 7*i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/3)\/r*r*r**19 assuming r is positive.\nAnswer: r**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/((-14)\/40))\/(4\/(-14)). Suppose 5*y + h = 3*d, 4*y + 3 = 3*d - 2. Which is the second smallest value? (a) y (b) -8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 270*g + 1645.\nAnswer: 5*(g - 47)*(g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2776 + 2985. Calculate the least common multiple of 114 and w.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1\/10 (c) 5 (d) 0.4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 3*d - d - d**2. Let k be s(1). Let b = -2 - -6. Solve -4*n - b = -k*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2 + 61*r - 37. Let v be i(15). What is the common denominator of v\/56*6\/56 and -57\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78470759747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*r**2 - 8*r**2 - r**3 - 8*r**2 + 1 - 3*r**4 + r**4 to o + t*r**2 + m*r + a*r**4 + f*r**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*g - 8*g + 1140 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t - 2*d + 19, 2*t + 5*d + 5 = 0. Let r(v) = -2*v + 6. Determine r(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 52 = 2*s. Let m(t) = -t + 15. Let z(n) = -n + 30. What is s*z(r) - 5*m(r)?\nAnswer: 2*r + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 9496*f**3 + 5944460*f**2 + 818305200*f - 4241322000 = 0 for f.\nAnswer: -270, 5, 2909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 348554 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190 or 59987\/318?\nAnswer: 59987\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002 (base 5) in base 6?\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-22)*(-237)\/316*-33\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -8, 390, 109 in ascending order.\nAnswer: -8, 2\/9, 109, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:30 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-1)\/(-22)). Let u be (-2)\/6 - 144\/(-27). Suppose x = 2, u*b + 2*x = 3 + 41. Solve 0 = -2*g - 2*v + b, -7*g + 2*g + 4*v + c = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13b + 5?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + -0.14. Which is the second biggest value? (a) q (b) -0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 + (-22)\/(-6). Suppose -2*m + 0 + 5 = p, 0 = -4*m - v*p + 9. Let l be (4\/20*1)\/((-2)\/(-10)). Solve m*w = 2*w - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9503, -20724, -33673, -48350, -64755, -82888?\nAnswer: -102749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.415093393 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 7, m: 1}. Give prob of sequence myy.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = g + 13 - 55, -4*i + 4*g = -32. Let k be (4 + -5)\/1 + i. Let h be (k\/18)\/((-2)\/(-12)) + -3. Solve h*r + 16 = 4*r, -l - 2*r = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + u - 1. Let r(t) = 3 - 5*t**2 + 1 - 4*t + 6*t**2. Let v = 139 + -137. Determine v*f(o) + r(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 491 - 490. What is the nearest to f in 0.4, -0.4, -1\/4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8314 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u + 59. Suppose -35*d = -16*d. Let q be b(d). Is 57 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201222 + 1200?\nAnswer: -200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5243 - (5 + 2))*(-472)\/(-3). Round z to the nearest ten thousand.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*d - 3*y, -9*d + 6*d + 5*y + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/5 + 12*r**2\/5 - 99*r\/5 - 238\/5 = 0 for r.\nAnswer: -17, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from nggggcnntggnggingngg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*a + 151*a + 52. Solve 13 = -a*g + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:09 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -16 - -6 - 18 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(sqrt(175)\/sqrt(5) - sqrt(35)))\/sqrt(7) + ((sqrt(55)\/sqrt(11) + 0)**2 - sqrt(45)\/(sqrt(54)\/sqrt(6))).\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -995.999998505 - -996. Round q to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126691*r - 126678*r = -624 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y*y\/y**(-3))*y*(y*y**(1\/4)*y)\/y)**(-3)\/(y*y\/y**(2\/3)*y\/y**(-2\/15)*y*y\/(y*y**(-2))*y*y**3) assuming y is positive.\nAnswer: y**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/34121 in -3, -41, 1\/3, 20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: a0bd12 (base 14) to base 4\nAnswer: 110221002230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -404*x - 353*x - 22650 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w + 2. Let q be j(3). Suppose 0 = -4*v - 2*m + 24 + q, 5*m = -v + 8. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2989413535.\nAnswer: 5, 17, 43, 817897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.28 + -0.72. Which is the nearest to 1? (a) m (b) 2 (c) -2\/5 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15097*c + 15097*c - 752*c**2 to the form h*c + y + g*c**2 and give g.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -196299, 98 in increasing order.\nAnswer: -196299, 1, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)\/(349\/2443)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -49, 0.01, 24 in descending order.\nAnswer: 24, 1, 0.01, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368176 by 2.\nAnswer: -184088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17628.\nAnswer: 2, 3, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 54 - 75 = -t, t = 3*g - 11. Let i(v) = v**2 - 2. Let q be i(3). Put q, g, 6 in increasing order.\nAnswer: g, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/45 and -46\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3 = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 20 - 2)*(13*u - 36 + 36)*(-4 - 4 + 3) as j*u + m and give j.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288734 by -62.\nAnswer: 4657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2231 - -1?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from culcuukltpuc. What is prob of picking 2 l and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.01068?\nAnswer: -0.03204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.34 and 74562?\nAnswer: 74562.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 98. Let l be k(25). Let t be 2\/7 - 892\/(-14). Let y = t - l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21815, -21791, -21753, -21695, -21611?\n\"Answer: c**3 + c**2 + 14*c - 21831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 17 + 1. Let b be 264\/679 - i\/14. Let p = b - 3659\/679. Calculate the common denominator of -17\/11 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*2*-6 - ((sqrt(132) - (sqrt(132)*-1*5 + sqrt(132))) + sqrt(132)))\/(-2*(sqrt(12) - sqrt(108)\/(2*sqrt(9)))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 7 - 19. Let i(f) = -2*f**3 - 27*f**l + 12*f**2 + 15*f**2. Determine i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i + 61 = 3*h, 0 = 2*h + 3*i - 59. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105456.8 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3384, -13454, -30188, -53544, -83480, -119954?\n\"Answer: 7*t**3 - 3374*t**2 + 3*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 3*p**2 + 2*p**2)*(-3*p**3 + 18*p**3 - p**3).\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438167126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71450, -571585, -1929102, -4572695, -8931058, -15432885, -24506870, -36581707?\n\"Answer: -71449*n**3 + 3*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 1 p when three letters picked without replacement from {p: 5, t: 7, f: 5, u: 1}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1205504634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 392*d**6 - d**5 - 4*d**2 - 393*d wrt d?\nAnswer: 47040*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 4*u**3\/3 + 183*u - 2. Let p(z) = -1. Let o(y) = -3*y - 3. Let s(r) = o(r) - 3*p(r). Give v(s(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 2*j = 28, 11900*q - 11948*q - j + 281 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60043697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32893128 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 - 36*x**4 - 474*x**3 - 1952*x**2 - 3207*x - 1692 = 0. What is x?\nAnswer: -4, -3, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 5*w + 7. Let z be m(3). What is the highest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v**2*(v**0)**19)**31 assuming v is positive.\nAnswer: v**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109659239 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 10 - 21228*x + 42467*x - 21232*x + 1 in the form d + c*x and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Suppose 3*s - 2*s = c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 5508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:15 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 25 = -5*u, -4*x - 175 = -5*u - 197 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -35*n**2 + 969*n + 1331. What is b(29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(17) + 1 - sqrt(204)\/(sqrt(12) + sqrt(24)\/sqrt(2)) - -1*sqrt(170)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 27*sqrt(17) + 1413\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 2, x: 5, b: 1, c: 8}. Give prob of picking 1 c and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*h**5 + 205*h + 8*h**5 - 341*h**5 wrt h.\nAnswer: -11120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*1*((sqrt(612) + 4 - sqrt(612)) + -2 - sqrt(612) - (sqrt(612) + -2 + -4)))**2.\nAnswer: -43200*sqrt(17) + 565200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 116 = 158. Calculate the remainder when 167 is divided by f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - p + p - p - 17 + 25 - 6*p. What is q(7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4018360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287*h - 3*h**3 - 63*h**4 - 180*h - 105*h + 27*h**2 to the form c*h**2 + p*h**4 + f*h**3 + v*h + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -24*p - 211 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/13 - (500\/(-130) + -4). Sort -7, p, 3\/4 in ascending order.\nAnswer: -7, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 + 1672*o**2 - 60457*o - 62130 = 0.\nAnswer: -1, 38, 1635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -395163, -395184, -395205, -395226?\n\"Answer: -21*o - 395142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -34 + (46 - -32).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 25742*i + 102936.\nAnswer: 2*(i - 12867)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15890004 by 882778.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-11))\/(804\/75174)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 7. Let m be y(-4). Suppose 2*t = m*x + 190, 2*t = -3*x + 7*x + 188. Suppose -6 = 5*f - w - t, 5*f - 4*w - 98 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let r(d) = 374*d + 5. Determine x(r(k)).\nAnswer: 279752*k**2 + 7480*k + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-22 - -24)) + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.188064ml?\nAnswer: 0.003188064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 6*i**2 - 8*i + 3. Let o be j(-7). Suppose 3*m = 7*m - 80. Let g = m - o. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10841\/1116 - 10\/279. Find the common denominator of v and -97\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.28 - -46.18. Which is smaller: b or 11768?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -18*c**3\/7 - 2874*c**2\/7 - 57200*c\/7 + 5071352\/7 = 0?\nAnswer: -286\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -11 + 10 + (-8 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*f = 206*f - 30. Suppose 0*d - 28 = -d. What is the remainder when d is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3079*q - 2 - 4133*q + 285*q.\nAnswer: -6927*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1180, -10593, -28226, -54079, -88152?\n\"Answer: -4110*i**2 + 2917*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*g = 29*g + 1254 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13548061.\nAnswer: 13548061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67483 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -43189881.\nAnswer: 4318988.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 89697 = -4*i, -19*i = -23*i + 8. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*m**2 - 311*m - 2*m**4 + 311*m in the form s*m**2 + r + t*m + g*m**4 + k*m**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -113. Suppose -c + 19 = 3*x, -2*c - b*x + x + 18 = 0. Solve -5*f + 3*q + 3 = 0, -4*f - c*q + q + 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 85*t**2 + 311*t - 39583. Give c(83).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (164\/(-12) - (-36)\/3)\/((-5)\/9). Sort 101, 1, 5, b.\nAnswer: 1, b, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h**3*k*q**2 + h**3*q**2 + 2*k - 139*q**2 wrt k?\nAnswer: 7*h**3*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 178180\/(-44548))*-1. Let m = -35709\/25810150 - 21699446132027\/1724685843300. Let j = m + r. Find the common denominator of j and 59\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9206?\nAnswer: 2, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 0.56.\nAnswer: -25.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/1*(2 + -1). Let j be 4\/(-18) - (-846)\/162. Solve 3*t - j*l + 25 = -t, -25 = -c*t - 5*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 34935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.655 to one dp.\nAnswer: -107.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - 2 - 48\/8. Suppose 2*o - 5*o = -4*t + 2, -17 = -k*o - t. Let w(q) = -q - 3. Give w(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/18 and -18 - -22 - (-16)\/(-21)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 176, -4 in increasing order.\nAnswer: -4, 93, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494 and 4727086.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(11088\/(-720) - (1 + -17))\/((-36)\/30)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2\/17 + 1176286*k\/17 - 294072\/17.\nAnswer: 2*(k + 147036)*(4*k - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5529444339.\nAnswer: 3, 1843148113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, y: 2}. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -128*r + 35. What is y(3)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2 + 30*n**2 - 25*n**3 - 15*n + 15\/2*n**4.\nAnswer: 5*(n - 1)**3*(3*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6829.231um?\nAnswer: 0.6829231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((140\/5)\/7)\/((-1)\/(-2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23 = -18. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 24*m - 240. Let j(p) = 6*p**2 - 44*p - 481. Give -11*i(v) + 6*j(v).\nAnswer: 3*v**2 - 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*x + 139*x + 3*d = -12746400, -x - 6373200 = 2*d. What is x rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - y**2 - 2 + y**2 + 5*y**3 + 8*y**4 - 9*y**4 to the form p*y**4 + r*y + a + k*y**3 + i*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (24 - 23 - (13 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 0*(-15)\/(-225)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 117190*f**4 - 686323065*f**3 + 4122979060*f**2 + 4809184940*f = 0.\nAnswer: -11722, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 289631829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 78845*l + 157686.\nAnswer: (l - 78843)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -c, 5*d - 1 = c + 7. Is 7718 - c\/((-10)\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 10*g - 5. Let y(u) = -1. Let f(s) = -c(s) + 5*y(s). Let m be f(10). Factor m*r + 1\/2*r**2 - 1\/2*r**5 - 1\/2*r**4 + 0 + 1\/2*r**3.\nAnswer: -r**2*(r - 1)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 48. Suppose 0*r + 130 = 5*r. Let i = r + w. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/341 and 17\/124.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Is ((-424)\/(-32))\/(j\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 29, 47, 105, 221, 413?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)\/(18\/(-108)). What is the common denominator of -95\/2 and (-53)\/(-6)*k\/(-4) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*d**2 + 165*d**2 - 402*d**2 + 73*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -5 - ((-2)\/4 - (16785\/2250 - -4))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2206 = i - c - 2191, 2*c - 6 = 7*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 5*d**2 - 40 - 9*d**3.\nAnswer: -9*d**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7077203849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1101000000 (base 2) to base 14\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52350636.\nAnswer: 2, 3, 13, 73, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*b**2 - 537 + 190 + 188 + 175 - 678*b**2 to m*b**2 + t + v*b and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*p = 91*p - 296. What is the smallest common multiple of (-2)\/5 + 282\/30 and p?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 1\/3, -2\/47, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 123321791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*y - 1, 51*y = 2*x + 56*y - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Suppose 3*a + 3*h = 27, -5*h + 28 = 2*a + 1. Suppose -3*c = -a*c + 6, -l - 14 = -4*c. Is 3 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2881 + 1998. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.03 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1822831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 + 2817*g - 1433080 = 0.\nAnswer: -3257, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/7018 and 97\/2805.\nAnswer: 1789590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -95*q + 28*q - 33*q. Let k(p) = -6*p**2 + 5*p**2 + 0*p + p + 1 + 0*p. Give k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.058783 - 0.059. Round p to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*i - 821, 4*j - 3*i + 2*i + 1103 = 0. Let x = j + 585\/2. Let y = 19259\/1060 + -690\/53. What is the common denominator of x and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 36, 60, 84, 108, 132?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i**2 + 0*i)*(5 - 5 + i) + 12*i**3 + 13 - 13 + 158*i**3 - 19981*i**2 + 19981*i**2.\nAnswer: 168*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.63 to one dp.\nAnswer: -41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x - 13. Let u(l) = 28*l + 50*l - 83*l + 6 + 0. Determine 4*r(n) + 9*u(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125 * -11.\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1032\/7 bigger than -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -5 (b) -0.28 (c) -2\/11 (d) -0.1 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/7)\/k*k**(-11))\/((k\/k**(-24)*k*k*k)\/k*k)**(18\/13) assuming k is positive.\nAnswer: k**(-4698\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -119, -129?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 197 = -3*i - 189, 0 = -4*i - 2*x + 16. What is the closest to i in 7\/4, -2, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414729921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 1, h: 6, a: 5}. What is prob of sequence hhch?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90798, 181584, 272366, 363144, 453918, 544688?\n\"Answer: -2*w**2 + 90792*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 - 2*f - 1. Let l be z(-2). Let w(b) = b**2 + 6*b - 22. Let k be w(l). Solve -5*x - k = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 - 15464*l**3 + 77532*l**2 + 433424*l - 495488 = 0. What is l?\nAnswer: -3871, -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1178 and 161324?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*(r\/(r\/r**(-1\/14)))\/r)))\/(r**(-2\/11)\/r*r))**(5\/13)\/(r\/(r**(1\/11)*r)*r**0\/r*((r**0\/r)\/r)**37) assuming r is positive.\nAnswer: r**(150417\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3326, -3833, -4340?\nAnswer: -4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88\/48*(-18)\/(-3) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 6*o - 20 = 0, 90*t + 5*o = 48*t + 44*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/371436 and 131\/156.\nAnswer: 371436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 438747*v*y**2 + 156*v + 1215486428*y**2 wrt v?\nAnswer: 438747*y**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**2 + 4*i - 2. Let n(q) = -7 - 5*q - 19*q**2 + 9 + 8*q**2. Give 4*n(f) + 5*t(f).\nAnswer: 6*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 445461, 445455, 445445, 445431, 445413?\n\"Answer: -2*m**2 + 445463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**9\/168 + 7*r**5\/60 + 2*r**2. What is the third derivative of d(f) wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 10 + 4 + 4 + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 32319.15 to the nearest 100.\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) 2\/5 (b) 0.0103 (c) 0 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 152475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:19 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2060842 and 65652538.\nAnswer: 459567766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)\/o*o**(3\/2)*(o**5)**(4\/29))**(30\/13) assuming o is positive.\nAnswer: o**(-12015\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871432 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 2. Let o be v(5). Let f = -1 - o. What are the prime factors of -1*4*(-16)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. What is the smallest common multiple of j(3) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 7604416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*5 + (0 + sqrt(19) + sqrt(19))**2 + 1.\nAnswer: 5*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*c - 20, -2*c + 25 = 5*a - 4*c. Suppose -4*q - 3*x - 3 = 18, -4*x - 12 = 0. Let j = q - -7. What is the remainder when a is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+14.547845447\nAnswer: 23.547845447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 9 + 9 + 16*y + 7*y to j + c*y and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 9*g - 7. Let o(j) = 8*j - 6. Let w(n) = 2*h(n) - 3*o(n). Let q be w(3). Which is the closest to 0? (a) 3 (b) 2\/15 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 3\/4 (c) -4 (d) -3\/4 (e) 4565\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1832 - -0.1832. What is the closest to 3\/8 in g, 37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 41942.\nAnswer: 209710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2472144.\nAnswer: 2, 3, 51503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2605924.\nAnswer: -5\/2605924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 62. Let s be -1 - (-5 + -2 + n). Suppose -152 = -5*h - i, h - i - 46 = s*i. What is the highest common divisor of h and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 1. Let p = 18 + -14. Let n be c(p). Suppose -d + 60 = 2*x, n*x = -4*d + 2*x + 240. Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2. Let o be m(-5). Let l = -7.07 + 0.07. Let w = 2 + l. Which is the third biggest value? (a) w (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/84107 (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxuyxwxdwxw. What is prob of picking 1 u, 1 w, and 2 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10974 and 558?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + w + 5. Let k be s(0). Solve -2*v + m = -0*v + 9, 4*v = -k*m + 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (158\/(-6))\/1 + 4\/(-6). Let g = k + 31. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29334 + 40862260\/1393. Let x = 39955098998\/6965 + -5736554. Let w = v - x. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/6 + 22447*m**4\/6 - 448537*m**3\/6 - 67343*m**2\/6 + 695257*m\/3 - 448540\/3 = 0 for m.\nAnswer: -2, 1, 20, 22427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 1. Let a(l) be the third derivative of -7*l**5\/60 + l**4\/24 - l**3\/3 + 13*l**2. Determine -a(y) - 6*h(y).\nAnswer: y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l)**(-2\/175)*l\/((l\/(l**(-4\/5)\/l))\/l)*l**(-1\/3)\/l*l assuming l is positive.\nAnswer: l**(-577\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673100 is divided by 2589.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*r**2 + 11*r - 5*r - 8*r - 190*r**2 + 181*r**2.\nAnswer: 161*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143722*t - 138511*t - 1 + 1 + (-t + 0*t - t)*(1 - 3 + 1).\nAnswer: 5213*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1395 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 44. List the prime factors of (-168)\/(i\/(-4)) - -1.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5574, -11142, -16710?\nAnswer: -22278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*o**3*w**4 + 51*o**3 - 2*o**2 + 98*o*w**4 + 8*o*w - o wrt w.\nAnswer: 276*o**3*w**2 + 1176*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2154 (base 7) to base 10.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36743 and 326424.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4056, 4, 6, 43, -4, -1 in increasing order.\nAnswer: -4, -1, 4, 6, 43, 4056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 210 = -g. Calculate the greatest common factor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 792968188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2. Let b(w) = -6667*w. Let c(z) = 198*z. Let l(x) = 7*b(x) + 236*c(x). Give h(l(t)).\nAnswer: 27848*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 29 = 11. Let y = 15 - m. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317073.\nAnswer: 3, 105691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2164294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 2:24 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857387205 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1)*(154\/1155 - 32\/15). Solve -4*a - 29 = 3*s - 8*s, 2*a = z*s - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9)\/(2\/9). Suppose -q*a - 5*s + 2 = -6*a, -5*a = -5*s - 10. Let r = -2 + a. What is the lowest common multiple of 10 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (276\/42)\/((-2)\/56*-2) is divided by 54.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 12, -5*f + 3 = k - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 6) + -4 - -3) + -6 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2528, 3650, 4766, 5876, 6980?\nAnswer: 8078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 12:35 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3304)\/(-944))\/((-6)\/60).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*b + 88, -2*z - 52 = -3*b - z. Solve -4*h + 4*k = 3*k + b, 0 = -h + 3*k - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*n + 30, 5*z - n = -18 - 2. Suppose -3*c + 20 = 5*v, 5*c - 23 = -v + 3*v. Let o(j) = -j**2 + 2 + 2 - v. What is o(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*r = -126. Suppose -q + 3*v - r = 0, -5*q - 3*v = -0*v + 90. Let s = q - -36. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*t - 3*t. Suppose -t*c - 2*c = 15. What is the second biggest value in c, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 = -232*n + 265*n + 34 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b. Let j(l) be the third derivative of l**7\/2520 - 31*l**5\/60 - 18*l**2. Let g(c) be the third derivative of j(c). Determine z(g(h)).\nAnswer: 4*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 - -6.87. Let a = 5 - m. What is the closest to 2\/3 in a, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 7) + (-3025)\/(-1575) - (-80)\/(-70).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -1\/4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*a - 38 = 2*m, -2*m - 5*a = -8 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 1. Solve 0 = 3*v + u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 7*q + 10. Suppose 3*i = 13*i - 40. What is l(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76686 + 76737.417. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-3)*(-135)\/(-63)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/3*2\/(-4). Suppose -y + u = -1. Solve o + 0*o = -3*j + 10, -22 = y*o - 4*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 872914471.0443466 - 1551249154.6443025. Let y = s - -678334311.6. Let m = y - -372. What is m rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -703 or -704?\nAnswer: -704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose -15*m + 55 = -4*m. Put o, m, -11 in descending order.\nAnswer: m, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687*t - 3373*t - 45 = -1683*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (2 + (3 - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r**2 - 11. Let b(o) = 5*o**2 - 4. Suppose -3*w = -15, 2 + 14 = -u + 2*w. Calculate u*m(l) + 17*b(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -598\/63 + 68\/7. Sort 2\/11, o, -1.\nAnswer: -1, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 12*s + 30. Let m be (-1)\/12 + (-4)\/(-12). Let o = 4 - 8. What is the third smallest value in s, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w**2 + 9*w + 15. What is the hundreds digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 3*n - 36 = 0. Suppose -g + 20 = n*g. Solve g*d - 8 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1)**(-2\/63)\/(b\/b**(-4)*b**(-1\/4))*(b**(-1\/5)\/b**(-2\/15))**(28\/3) assuming b is positive.\nAnswer: b**(-967\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2921 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -2163?\nAnswer: -2162.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*s - 273, 0*s = y - 3*s - 47. Solve -7*n**3 + 5*n**4 - y*n**2 + 37*n**3 - 33*n + 20 + 93*n + 118*n**2 = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 17*s + 4*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 24*z - 28 = 20*z, 5*p + 4*z = 28. Let n(c) = 4*c**2 - c**3 - c + 3*c**2 + 23 - 6*c**2. What is n(p)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 1, r: 5, c: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.391 - 0.061. Let k = 0.13 - x. Which is the nearest to k? (a) -0.3 (b) 0 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 20. Let f be 2 + (-1 - (c - 1)). Solve -2*d - 14 - 14*d**f - 10*d + 2 + 11*d**2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + (sqrt(648) - -6*1*sqrt(648)))\/((sqrt(1050)*2)\/sqrt(7))*2.\nAnswer: 48*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4173\/(-107)*4\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxp when three letters picked without replacement from {l: 5, p: 7, x: 8}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11001854*q**3 - 2*q**2 - q + 6. Let y be m(2). Suppose 4*d = 52785172 + y. What is d rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13.1 and -63393829962.\nAnswer: -63393829948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 29*i - 10. Let q(k) = 10 + k**i - 18*k - 4*k + 28. Let c be q(20). Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = 393 + 551. Is -236 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1943\/22 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*p - 19*p - 41*p + (0*p + 2*p + 0*p)*(4 - 1 - 1).\nAnswer: -92*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 692.687 + -689.8. Let a = k + -2.9. What is a rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -792 - -490099.\nAnswer: 489307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 22*n**2 - 4)*(-19*n - 2 + 33*n - 20*n) - 5*n**3 + n**3 + 3*n**3 + (-1 + 1 - 2)*(-5 - 2*n**3 + 5).\nAnswer: -129*n**3 - 44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/28 and 137\/774?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*l + 1 - 5 + 5 + l + (-1 - 1 + 0)*(3*l + 2*l - 4*l) + 0*l - l + 0*l + 3 - 2*l - 3.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 9334*u**2 + 18676*u.\nAnswer: -2*u*(u - 4669)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 12*b**2 + 13*b - 14. Let a be y(11). Suppose -36 = a*d - 92. Factor -d*h + 5*h - h**2 - 8*h - 4*h**2.\nAnswer: -5*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2088.371 - -2066.4. Let v = u + -0.029. Let k = v - -22.0012. What is k rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3*7\/(-63)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94118162.\nAnswer: 2, 23, 2046047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v\/(v**(-11)\/v)*v)\/v)\/v))\/v**(-10)*((v*v**(-2))\/v)**38 assuming v is positive.\nAnswer: v**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7447910*z**3 + 2603633*z**2.\nAnswer: 44687460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48*(-85664)\/(-120) - 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48\/265 - 1\/53. Let t be ((-27)\/140 - (-4)\/16)*-5. Which is the closest to 4\/5? (a) t (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 21354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6 + 5 + 7 - 6 + 2*b. Let y(j) = 10*j - 12. Let v(c) = c - 1. Let q(g) = 12*v(g) - y(g). What is -4*p(i) + 3*q(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -56356 times -4.71\nAnswer: 265436.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -40*c - 320. Let j(n) = n**3 + 23*n**2 + 6*n + 2. What are the prime factors of j(c)?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41260 is divided by 77.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6978, 28124, 63434, 112908, 176546, 254348, 346314?\n\"Answer: 7082*u**2 - 100*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(175) - (sqrt(175) + 1))**2 - (-2 + sqrt(175) + -3)) + (sqrt(175) - (sqrt(175) + 0)**2) + -2 + sqrt(175)*3 + sqrt(175) + -2.\nAnswer: -172 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let t(g) = 702224*g - 1088. Let b(r) = -7717*r + 12. Let z(c) = 544*b(c) + 6*t(c). Determine j(z(x)).\nAnswer: 15296*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40040*o**2*r**5 - 1053*o**2*r**2 - 2*o**2*r + 2*o*r**2 wrt r?\nAnswer: -2402400*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 711292577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 27. Suppose 4*v = -v + 2*u + 128, 2 = 2*u. Let j be x(v). Which is the nearest to j? (a) -5 (b) 10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**2*h\/h**4*h*(h**(1\/3)*h)**(9\/11))\/((h*h**(-2\/3))\/(h*h\/h**(1\/6))*((h*h*h\/h**(1\/6)*h*h)\/h)\/h**(-4)) assuming h is positive.\nAnswer: h**(-272\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*u = 282. Calculate the least common multiple of 10 and u.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*x**3 + 6660*x**2 - 24528*x - 7552 = 0. Calculate x.\nAnswer: -2\/7, 4, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2.1117?\nAnswer: -2.1117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*d**4\/2 - 273*d**3\/4 + 13809*d**2\/2 - 23553*d\/4 - 1863\/2 = 0. Calculate d.\nAnswer: -23, -3\/22, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/2)\/(4\/(-96)). Suppose 3*g - a = -0*g. Suppose 5*o = j - 120, 4*o = 2*j - 6*j + 384. Calculate the greatest common divisor of g and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 36\/30*14\/(-6)*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s**3 + 5*s**2 + 18*s**2 + 25*s + 41*s**2 - 9*s**2 - 15*s**4 = 0.\nAnswer: -5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15325 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111188645 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 422 - 417. Suppose m*l - n - 2063 = 0, 3*l + 5*n + 1663 = 7*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-3)\/(-9)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = q + 8, 2*i + 4 = -5*q - 2. Suppose i*b - 10 = -3*b. Put b, 3, -7 in ascending order.\nAnswer: -7, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11427 + 14324. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3)*(-18)\/120*36\/(-26).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70586.\nAnswer: 2, 29, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/120 + t**5\/60 - t**4\/12 + t**3\/3 + 2*t**2. Let b = -408 - -96. Let r be ((-18)\/10)\/3 - b\/120. Determine s(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*m**3 + 1 + 732*m + 727*m + 687*m - 2150*m.\nAnswer: 288*m**3 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -101. Let t(o) = -o**2 - 19*o - 35. Let r be t(f). Let y be 5\/r*(-336)\/5. What is the highest common factor of y and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -375066?\nAnswer: 375068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -2.1. Let j = -10 + 9.9. What is the second biggest value in l, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315092 and 71336.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 110 = 31*j. Let s(y) be the second derivative of y**5\/10 - 5*y**3\/6 + 5*y**2\/2 + 252*y. Let u(w) = -w**3 + 3*w - 3. What is j*u(f) + 3*s(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:40 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -61380308 divided by -11\nAnswer: 5580028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.5 (b) -3\/7 (c) -3\/481 (d) 12\/7 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 556716*s**3 + 98517846*s**2 + 5812142156*s + 114301423281.\nAnswer: (s + 59)**3*(s + 556539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 846896*o. Let c(s) = -s**2. Determine k(c(q)).\nAnswer: -846896*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*v = 5*a - 2465, 0 = -4*a + 4*v + 3280. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8995400 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l + 52. Let j(s) = -3*s + 26. Let t(i) = -7*j(i) + 4*v(i). Let k be t(-6). Suppose -19*n - 6 = -k*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 316 and 24?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -522326, -1044754, -1567182, -2089610, -2612038, -3134466?\n\"Answer: -522428*f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27443493889.97919 - 27443668443. Let k = p - -174555. Let d = k + -1.98. Round d to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 179*w - 956. Give g(4).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*d + (-4 - 8 + 8)*(6 - 6 + 10*d))*(5 - 1 - 2)*(1 + 0 - 3).\nAnswer: 152*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0 + 4 + 4*d - 5. Let g = 3 + 1. Let v be (-25)\/(-10)*g\/5. Determine l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-646297)\/(10 - (-3 - -14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 4*c = -20, -3*c - 3 = 0. Let r = x + -1. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3455 + 3500. Which is the nearest to 1? (a) -4 (b) u (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7727037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -159*c**3 + 3*c**2 - 26*c - 6. Let o be p(8). What is o rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:23 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + p + 2*p)*(2 - p**3 - 2) + 115*p - 4 + p**4 - 115*p as l*p**3 + j*p**4 + y + g*p + i*p**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9*r**3 + 9*r**3 + 2*r**3 - 6 - 32*r**2 - 17*r**3 as y*r**2 + d*r**3 + j + i*r and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 11449*a**4\/3 + 1819535*a**3\/3 - 136088*a**2\/3 + 848*a = 0.\nAnswer: -159, 0, 4\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -12 - (-7 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*2*sqrt(52))\/sqrt(144))*5.\nAnswer: -25*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -18*i + 9. Suppose -o - 2*o + 2*x + 530 = 0, i*o + 5*x = 523. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 9*n - 1189*n**2 - 3*n + 3*n**3 - 38 + 1189*n**2.\nAnswer: 3*n**3 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -0.14. Which is the third biggest value? (a) -1 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyanny. What is prob of sequence nay?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 5*c**4\/48 - 5*c**3\/6 + 15*c**2\/8 + 25*c + 42. Let i(x) be the first derivative of b(x). Let i(v) = 0. Calculate v.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/28 + (-87)\/(-84). Sort -0.5, a, 4\/7 in decreasing order.\nAnswer: a, 4\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2080779603, 2080779602, 2080779601, 2080779600, 2080779599, 2080779598?\n\"Answer: -d + 2080779604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2493997819 + 0.2494. What is p rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*(m\/(m\/(m**(-8)\/m)))\/m)\/m))\/(((m*m**(-1\/39))\/m)\/m) assuming m is positive.\nAnswer: m**(469\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 753\/(-1)*((-28)\/(-12) + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6074122.\nAnswer: 2, 523, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 - -0.25032. Round y to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthhhhttchhcctoccctt. Give prob of sequence ot.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.142419 decades?\nAnswer: 0.3142419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 96. Let z(t) = 5*t**3 + 6*t + 6. Let d(v) = -4*v**3 - 5*v - 5. Determine s*d(g) + 5*z(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*o - 11*o - 189*o)*(3*o - 2*o + o)*(0*o + 3*o - 2*o) to r*o + j*o**3 + s*o**2 + z and give j.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(2\/11))**(-32) assuming c is positive.\nAnswer: c**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*r**2 + 0)*(1 + 3 + 0)*(155*r + 1122400 - 1122400).\nAnswer: -1240*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 989, 992, 995, 998?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049022988.\nAnswer: 2, 13, 79, 255361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 126 + 46 = 0. Suppose -x = -5*g + g. Let j(p) = p**2 - 4*p + 5. Calculate j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3564 - -3816. Calculate the smallest common multiple of k and 108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23083921 at most as big as -23083920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 7*c + 2339. Determine k(55).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-32))\/((-6)\/16*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 6697284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000299119 to 6 decimal places.\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Let z(o) = o**3 + 5*o**2 - 4*o + 7. Let t be (7 + 8\/(-2))*1. Let i(u) = -2*u**3 - 5*u**2 + 5*u - 8. Let n(x) = t*z(x) + 2*i(x). What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1264*p - 665 = 1269*p, 2*x - 5*p = 1345. What is the greatest common divisor of x and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-9)*(-6)\/8. Suppose -w*j = 4*c - 16, 0*j + c + 3 = 3*j. Suppose -b = j*b + 117. What is b rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Suppose 4*n = y*n. Factor 0*q**3 + 3\/5*q**5 + 0*q**2 + 0 + n*q - 3\/5*q**4.\nAnswer: 3*q**4*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 20*c + 60. What is f(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6*(-100)\/75*89\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -6*k - 0*k. Calculate the remainder when k is divided by 159\/12 + (-4)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4026 = 4*a - 2*j, -a = 3*a + 3*j - 4051. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/(4\/10). Let d(p) = -4*p**2. Let v be d(1). Let r(l) = l**3 + 3*l**2 - 3*l + 5. Let m be r(v). What is the highest common factor of h and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16278483061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225543690.\nAnswer: 2, 3, 5, 307, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 64 + 97 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*q + 3. Sort q, 2, -4, 3.\nAnswer: -4, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13424 and 56?\nAnswer: 93968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 147.\nAnswer: 382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 173465524 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -516231150 rounded to the nearest 100000?\nAnswer: -516200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/1339 and 101\/234?\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:52 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/4 - 2*b**2. What is the remainder when 25 - (-2 + -3 + 7) is divided by o(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-13 - 2) - (731 + -696).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3021, -6037, -9051, -12063, -15073?\n\"Answer: a**2 - 3019*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 2\/5*f**3 + 0 + 4\/5*f**2 = 0 for f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2487 is divided by 157.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 2*m - 30 + 12*m in the form l*m + f and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + (-11 - -15 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/36)\/((29\/(-128))\/(-29))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 14}. What is prob of picking 2 z and 2 c?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from rrrffrrfrffrrrrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2 - 17*v + 11. Let d(c) be the first derivative of 93 - 9\/2*c**2 + 4\/3*c**3 + 6*c. Calculate 11*d(b) - 6*w(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 0*t. Suppose 3*k - o + 39 = 0, 9*o + 33 = -4*k + t*o. Let b be (12\/5)\/(k\/(-30)). Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1609353)\/(-27) + 32\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 8, h: 2}. Give prob of sequence hk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 182565317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2) - (1 + -9). Suppose d*a = 1 + 14. Suppose -5*o = -a*o - 10. Solve u = o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)\/(s\/(s*s**(10\/7)))*s**(-2\/9)\/(s*s**19) assuming s is positive.\nAnswer: s**(-2381\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 254, 505, 856?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*r = -0*r + 114, -159 = 3*t - 2*r. Let b = t + 131. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(10965\/172))\/(((-740)\/14)\/((-21)\/49))?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = 2. Let g be (1\/((-3)\/6))\/u. What is the derivative of 1 - 3*h - 6*h**g + 3*h wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-10))\/(2*(-12)\/35220) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 112 = 21*v. Suppose 0 = 5*a + k - 53, 4*k - 12 = -0*k. What is the smallest common multiple of v and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -62*y**2 - 335*y + 12. Let k(v) = 57*v**2 + 335*v - 11. Give 11*i(t) + 12*k(t).\nAnswer: 2*t**2 + 335*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002322893164 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*9\/2. Suppose 2*d = -u, k*d - 12 + 2 = u. Suppose 5 = -5*r, -3*r = d*m - r - 68. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 1934*x - 33*x**2 + 123 - 1934*x.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.6299 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -18. Let u be 1*3 - (o + 4 + -5). Suppose 0*z - y = -4*z + 456, -u*z + 228 = 5*y. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-717426)\/15 - (-4)\/10. Suppose -i - 4*i - s = -365856, -219508 = -3*i - 2*s. Let f = i - a. Round f to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 464?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(468) - (1 + sqrt(468) + 2))*-2)**2.\nAnswer: 576*sqrt(13) + 16912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7541, -7532, -7517, -7490, -7445, -7376, -7277, -7142?\nAnswer: -6965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 2. Which is the nearest to -2? (a) t (b) -0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4\/7)*x\/x**(-2)*(x**(1\/4))**11*((x\/x**(-3)*x)\/x**(-3\/5))\/(x**(-2\/3)\/(x*x**(2\/7)\/x)) assuming x is positive.\nAnswer: x**(5347\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j**2 + 0*j + (2 + 0 - 4)*(-2*j**2 + j - j) + 3*j**2 - 3*j**2 - j**2 - 2*j)*(-32*j**3 + 1012*j - 1012*j).\nAnswer: -128*j**5 + 64*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/37204 and 127\/8520?\nAnswer: 1116120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 96*k + 183. Let l(c) = 55*c + 91. Determine 4*g(w) - 7*l(w).\nAnswer: -w + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/70*(-2)\/(-9)*-3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 - 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + w + 9, w = 5*l - 7 - 4. Let f(z) = -z**3 + 3*z**2 + 5*z - 3. Let x be f(-3). Calculate the common denominator of (l + 0)*(-70)\/x and 107\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637157.3 litres to millilitres.\nAnswer: 637157300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvvbvmvvm. Give prob of sequence mvm.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let a = 5 + o. Find the third derivative of -2*m**5 - 4*m**2 + 5*m**a - m**5 + 2*m**2 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262088, 262186, 262284, 262382?\nAnswer: 262480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 48 - 6 = 0. Suppose -118 = -5*q - j. Suppose 0 = 2*y - q - 2. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 4)*(-3*z**4 - z**4 + z**4) - 3*z**4 + 3*z**4 - 2*z**4.\nAnswer: 19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02 (b) 0.2 (c) -56.501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3307 is divided by 699.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2*c**6\/21 + 4*c**5\/35 + 2*c**4\/7 - 8*c**3\/21 - 2*c**2\/7 + 4*c\/7 - 4. Factor t(d).\nAnswer: -4*(d - 1)**3*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:28 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 201367 (base 9) in base 4?\nAnswer: 131011123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212\/(-265))\/((-4)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-9)*(-6)\/(-4). Let t be 33*((-1)\/(-3))\/1. Let j = t - 8. Solve 0 = j*b - 10 + 4, l = w*b - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - 292. Let d(c) = -483*c + 136. Is d(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/420 - h**6\/180 - h**5\/60 + 23*h**4\/24 - 26*h**2. Let k(q) be the second derivative of j(q). Factor k(x).\nAnswer: 2*(x - 1)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j - 12 = -32*j. Suppose -17 = -p - c, 3*p - 47 + j = 5*c. Suppose 3*s = -p + 43. Solve 3*m - s = -2*f, -34 = -5*m - 2*f + 5*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 226 = 118. Does 36 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -273, -659, -1199, -1893, -2741?\n\"Answer: -77*q**2 - q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-2\/15)\/f)\/f*f*f*f\/f**(-2\/21))**(-49))**48 assuming f is positive.\nAnswer: f**(-23072\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 6. Suppose -5*l + 20 = 0, v*z - 2*z + 4*l = -96. Let j be z\/(-10)*(-30)\/(-4). What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-539)\/35)\/((-14)\/10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007110695 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.58, -5, 2, -7.43 in descending order.\nAnswer: 18.58, 2, -5, -7.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 - 9*u + 1. Let m be q(10). Let a = -5\/9 + 1\/3. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 31. Let d be b(11). What is the highest common divisor of 4 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2 + 24*y + 20. Let n = 20 + -25. Let j = n + 6. Let q(o) = o**2 + o + 1. Let c(h) = j*b(h) - 4*q(h). Let c(k) = 0. Calculate k.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 168315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21999460 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-54)*(-39819)\/(-18) - (-4)\/18. What is the highest common factor of 649 and v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114b066 + 2?\nAnswer: -114b064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1114 + -10?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 10*a - 10. Sort 4, a, 77 in descending order.\nAnswer: 77, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2817 + 2812. Put g, 2, 5, 1.14 in decreasing order.\nAnswer: 5, 2, 1.14, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 3*v**2 + v - 7. Calculate the remainder when 22 is divided by k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22851 + (8 - 966\/105)*(-5)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466057 (base 8) to base 2.\nAnswer: 100110110000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.61? (a) 39 (b) -0.1 (c) -1\/4 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -51 + 27 + (-4 - (-24 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from yzzsssjyszkyzk.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.3 - -0.7. Let h = o + -10.998. Round h to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -8, -0.3, 0, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t = -104*t + 5880. What is the highest common divisor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.8 - 3.8. Let y = -7 + 3. Let v = 554 + -532. Sort y, d, v in increasing order.\nAnswer: y, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*h**3 - 172*h + 260*h + 29*h + 417*h.\nAnswer: 796*h**3 + 534*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 * 0.2.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:45 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 61b9?\nAnswer: 61b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16807879 is divided by 553.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 - -36?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:03 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 5*u**4\/4 + u**3 + 28. Let a(c) = c**3 + c**2. Let y be ((-1)\/(-1) + 0)\/(-1). What is y*n(h) + 4*a(h)?\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g + 1. Let h = 5337\/19 - 281. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02777 minus -3504.2892?\nAnswer: 3504.31697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223202 - -2?\nAnswer: -2223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 13519674.1 to the nearest 100000.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -548 - -2195\/4. Which is the closest to -10? (a) 1 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351\/4 - 88. Let h = 19\/3 + -79\/12. Let w = 0.4 + -0.3. What is the nearest to o in -6, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 18 + 3 = 0, -2*p = 5*h - 8695. What are the prime factors of p?\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 - 63*w**2 + 73*w + 29. Calculate u(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 12*p + 10. Let b be l(-10). Let t be b\/(-3)*(-12)\/10. Let y(j) = -5*j - 6. List the prime factors of y(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 262\/((-10)\/(-5)). Suppose 4 = s*q - 138*q. What is the second biggest value in -0.4, -0.2, -1, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/75962 and 31\/8?\nAnswer: 303848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 375446 + -2160?\nAnswer: 373266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**(-3)\/(d**(2\/57)\/d*d**(-1\/43)))**(-13) assuming d is positive.\nAnswer: d**(159692\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6059 - 6042. What is the smallest value in -0.3, 1\/6, h, 1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -27025*j - 135128. Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m - 8. Let j be -2*(-2)\/m*26. Suppose -19 = -2*b + j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x - 4. Let h = x - 9. Which is the third biggest value? (a) h (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -65405760.\nAnswer: 196217280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 50 + 13 - 11*y - 66 + y**2. Give a(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 163. Let i be w(33). Suppose -4*x = -4*y + 8, -4*y - 7 = 4*x - i. Let s = 8 + -5. Solve 16 = 2*o - 5*d - s, -x*o = -2*d - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70039997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 453 and 30.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6119.52 and -199.\nAnswer: 1217784.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j - 3. Let s(g) = g**2 - 5*g - 6. Give -5*k(w) + 3*s(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50115034?\nAnswer: 2, 31, 808307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/3*(-8253)\/(-1441).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -3\/4, 0.1, -5, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -18*u**2 + 3*u + 5. Let l be d(-5). Is (2 + 15\/(-6))\/(2\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2499 + -2472. Solve -o = 3*n - 39 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**2 - 3*p**3 - 2*p**2 + 7*p**2 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - 8502\/(-10). Let f be k\/18 + (-10)\/45. Let m = 80 - f. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (1 + sqrt(68))**2) + 1*((sqrt(68) - (-2*sqrt(68))**2)*2 + sqrt(68)).\nAnswer: -808 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 72*q - 2. Let o(t) = -4*t. What is o(a(j))?\nAnswer: -288*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55)\/4 - (-4)\/(-16). Let y be (15 + -8)*(-1 + 5). Let d be y\/(-5) - b\/(-35). Which is smaller: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9787, 11611, 16589, 26299, 42319, 66227?\n\"Answer: 263*l**3 - l**2 - 14*l + 9539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 5*t + 19. Suppose -t = -15*u + 95. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101120 + -12?\nAnswer: -1101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 627509.2 to the nearest one thousand.\nAnswer: 628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18615 and 845997.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*-4*-2*sqrt(30))\/(-2*1*(sqrt(100)*-2 - sqrt(100) - sqrt(100))\/sqrt(10)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 26*r**2 + 13*r - 106. List the prime factors of z(-33).\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/(-480) + (-28)\/16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -8*b. Let h(t) = t. Let c be h(b). Let k = -0.55 - -0.65. Put k, 4, -1\/5, c in ascending order.\nAnswer: -1\/5, k, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.8.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and 3212583.41189?\nAnswer: 3212584.61189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.167?\nAnswer: -0.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42198776297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4785)\/120 + 15 - -25. Sort 6\/11, -2.84, 0, y in descending order.\nAnswer: 6\/11, y, 0, -2.84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.11*5.\nAnswer: -10.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1399211314 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7002 - -7000.9. What is the nearest to -2\/9 in 0.1, -4, s, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1749757 - 4?\nAnswer: -174975b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.212 - 57.188. Let z = -57 - x. Which is the nearest to 0.3? (a) z (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2995 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -5) + (-3 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d8 + -796ee?\nAnswer: -797d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1094728.71 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/63))\/j**(2\/7)*(j\/(j**(2\/33)*j)*j)**(-31\/2) assuming j is positive.\nAnswer: j**(-19147\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*l - 7, m + 3 = 5*l - 0. Let a(i) = -6*i**m + 4*i**2 - 3*i**2. Let u(z) be the first derivative of -z**3\/3 + 31. What is a(u(n))?\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32891 - -0.323. Round g to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/q**(-3))\/q))*q)\/q*q**(1\/2)\/q*(q\/(q\/(q\/(q**(-2\/49)\/q))))\/(q*q\/(q*(q\/(q\/(q\/(q*q\/((q**5*q)\/q)))))\/q)) assuming q is positive.\nAnswer: q**(641\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 19*c**2 + 20*c + 62. Suppose -13*p = -15*p + 14. What is the remainder when l(-18) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*s + 937 + 467 - 384 = -77*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-79520)\/350)\/((9\/30)\/((-3)\/4)) is divided by 283.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-11 + 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*f + 28671 = 27834 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p*w**3 + 483*p*w**2 + 2238*p - 6920029*w**3 + 2*w wrt w.\nAnswer: 42*p - 41520174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 106 + (-75)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 23, 31, 35, 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 645172 = u + 5*u. What are the prime factors of u?\nAnswer: 2, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661583 by 3.\nAnswer: 661583\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(20544\/640 - (11 - -23))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*-2)\/((-40)\/400)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Put 0.3, c, -1\/4 in descending order.\nAnswer: 0.3, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*n - 4616. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25267 - -49475\/2. Let m = u + 11575\/22. Calculate the common denominator of -44\/79 and m.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*r**2 - 4*q**2*r + 102*q*r**2 + 33*r**2 + 22428 wrt r?\nAnswer: -4*q**2 + 204*q + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514593.93 + -511649. Let l = -2961 + i. Let k = l - -16. Round k to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7. Let h(d) = -5*d - 437. Calculate h(v) + 3*k(v).\nAnswer: -5*v - 458","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Let d be 163\/(-5) - (-49)\/(-35). Let u be d\/(-1) - o\/1. Solve 4*t = -u + 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 184 = 2*q - 176, -4*q + x = 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198613 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b - 224504 = -53*b. Let u = b - 97126. What is u rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.9 - -107.1. What is the third biggest value in 429, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19\/4 (b) 46 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081.\nAnswer: 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 + 6*d**3 - 8*d**3 - 17*d**3.\nAnswer: -46*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/3 (b) 0.036 (c) 4 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -596.9723*0.169\nAnswer: -100.8883187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343771\/20 + 17183. What is the common denominator of 83\/120 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 12*b**2 - 10*b + 7. Let l be r(6). Let q = l - 94. Suppose -2*u + u = -q. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 - 10 - 12 - 9*j**3 + 31 wrt j?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12652, 23990, 35328, 46666, 58004?\nAnswer: 69342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -174*d**2. Let q(t) = 2*t**2 + 4777 - 4777. Determine q(s(u)).\nAnswer: 60552*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 33*j**2 - 18*j + 68. What are the prime factors of g(-9)?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6) + 353290\/(-287679).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6088.31 to the nearest 10.\nAnswer: -6090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290941, -290943, -290961, -291007, -291093?\nAnswer: -291231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*t - 36 - 124, -4*t = -2*h - 138. Let y = -12 + t. Calculate the remainder when 74 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -432 + -10?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568 + 31*o + 209*o**3 - 567 + 1136 + 14*o**3 wrt o?\nAnswer: 1338*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 88 - 428 = 3*i, -k - i - 70 = 0. Let v be 2\/7 - k\/140. What is the third biggest value in 7, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:04 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -552731290 rounded to the nearest one million?\nAnswer: -553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220688.96 - 23.\nAnswer: -220711.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -277584339, -277584351, -277584377, -277584423, -277584495, -277584599?\n\"Answer: -v**3 - v**2 - 2*v - 277584335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/5 - 42\/5*o**3 + 8\/5*o**4 + 34\/5*o**2 + 66\/5*o = 0. What is o?\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 60*n**2 - 1.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 802662 to the power of 1\/2, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079 < -1110917\/1031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20295 <= 20281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.19474634.\nAnswer: -0.9737317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/(-15)*175\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -4\/9 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s = 12*s - 300 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 2*v - 18, 15*n - 20*n - 6*v = 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let s(o) = -o**3 + 19*o**2 + 2*o - 10. Let q be s(19). Suppose 4*v - q = -4*k, -v - 2*k = -6*v. Put p, -0.4, v in descending order.\nAnswer: v, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 489 - 434 = -4*h - 2*b, 5*b = -4*h - 97 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + b**2 - 5)*(96 - 179 - 230) + b**2 - 6*b**2 + 3*b**2.\nAnswer: -315*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*h + 7)*(-1 + 1 + 10*h)*(-h + h - 7*h) - 4*h**3 + h**2 - h**2.\nAnswer: -214*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25891376 a multiple of 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102127 to 6 dps.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/6 - 1\/(-3). Suppose 0 = -2*h + 3*u + 11, -3*h + u = 5 - 4. Sort -5, h, p in descending order.\nAnswer: p, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -16. Suppose -5*i = 3*m - 20, -2*i + i + 4 = -m. Let h(j) = -j - 9. Let c be h(-7). Put a, m, c in decreasing order.\nAnswer: a, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105, 2\/5, -0.4, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/2 + 804*z**3\/5 + 1593*z**2\/10 - 1603*z\/5 = 0.\nAnswer: -1603\/5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/336 and 13\/224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-30))\/(-4))\/((-2)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2599 and 1.6.\nAnswer: 2600.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 1458646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 7*b + 37. Let g be q(10). Solve -g*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 + 0)*2)\/(35\/140). Let a(i) = i**3 - 9*i**2 + 10*i - 13. Let t be a(x). Solve 0 = -s - 2*m - 11, 4*s - t*m + 6 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, 1 f, and 1 s when four letters picked without replacement from bfcsbpr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 - 2\/9*h - 2 + 2\/9*h**3 = 0. What is h?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3109 + -3104. Let s(k) be the first derivative of -6 - 9\/5*k**b - 14\/3*k**3 - k - 4*k**4 - 1\/3*k**6 - 3*k**2. Let s(n) = 0. What is n?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562595039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 10:28 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02297 in 111, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = 8. Let i(n) = n**2 + n - 1. Let z(k) be the second derivative of 5*k**4\/12 + 4*k**3\/3 + k**2 + 5*k. Let b(u) = l*i(u) + z(u). Give b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3)*5\/20*3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0 + 72\/(-120)*-35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 15*v**2 - 9*v + 27. Determine l(16).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 - 7. Let m = k - -1. What is the third smallest value in m, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(17)*-2 + 3 - sqrt(17)) + 0)**2.\nAnswer: -18*sqrt(17) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (25 - (-8 + 40))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1470 and 91200?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 - 198*h\/5 + 392\/5.\nAnswer: (h - 196)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + v - 41, z + 4*v = 390 - 382 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtu when three letters picked without replacement from {u: 2, t: 3, w: 10, z: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 - 5*w - 6. What is k(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1717, 3416, 5115, 6814?\n\"Answer: 1699*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10608 to three dps.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -e?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/(-6))\/((-1 - 3)\/(-8)). Let o = 13 + s. What is the derivative of 11*m**3 - 13 + 8*m**4 - o*m**4 - 11*m**3 wrt m?\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 11*y - 17. Let g be q(7). Suppose 12*b = g*b + 32. Suppose 2*u + 0*u - b = 0. Calculate the greatest common divisor of u and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, 1 w, and 1 k when four letters picked without replacement from kggagagdwdd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -868, -1592, -2320, -3088, -3932, -4888, -5992, -7280?\nAnswer: -8788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n**2 - 955*n + 4085 = 0.\nAnswer: 19\/4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3126 - -8873. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926 + 24983 = -638*t + 2998 - 17859 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730*c + 730427 = 731*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -2. Let t = 2.9 - g. Let q = 0.085 + 4.915. What is the second smallest value in t, q, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:32 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -81*m**3 - 2*m**2 - 3*m - 2. Calculate r(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 22. Let z = -103 - -304\/3. What is the smallest value in t, z, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 2*(sqrt(19) + (0 + sqrt(19))**2) + 5).\nAnswer: -90 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 0.1 (b) -6\/67 (c) 2\/9 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17554429, -35108864, -52663299?\nAnswer: -70217734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2528950 and 10936.\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.745 + -1.74507576. What is t rounded to 6 decimal places?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 7*x**2 - 5*x - 61. Calculate v(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 4) + -9 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 9*q**2 - 5*q - 18. Let l(n) = -9*n**3 - 17*n**2 + 9*n + 33. Determine -11*h(g) - 6*l(g).\nAnswer: -g**3 + 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-17)*h\/((h*(h*h**(-2\/9))\/h*h)\/h)*(((h\/h**(-1))\/h)\/h)\/h*h*((h\/(h\/(h\/h**7)))\/h**(-3\/5))\/(h**(2\/3)*h*h)**(-35) assuming h is positive.\nAnswer: h**(3967\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than 60.65?\nAnswer: 60.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 - -219. Calculate the remainder when 85 is divided by h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 7:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 23212.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 18, e: 2}. What is prob of sequence kkk?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 98*f - 117*f - 96*f + 310*f.\nAnswer: -f + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 70*u**2 - 9*u + 17. What are the prime factors of q(4)?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (81 + 38 + -106)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95) + -2*sqrt(95) + sqrt(95) + sqrt(95)))\/sqrt(180).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-375860)\/(-24) - (-1)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let k(s) = 4*s - 4*s + 8*s. Let g(v) = -7*i(v) - 2*k(v). Let z(c) = -2*c**2. Determine g(z(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwwbbxbwbbwbwxwx. Give prob of picking 1 b and 1 x.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 2*q**2 + 5*q - 3. What is a(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*j**4 + 5\/3*j**3 + 0 + 13\/3*j**2 + 7\/3*j = 0. Calculate j.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4\/3 + 4*f**3 + 516*f**2 + 2932*f\/3 - 1496 = 0. What is f?\nAnswer: -17, -3, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 799 + -841 + (2 - -47)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 = -2*f. Let z be 5 + (-2)\/(-2) - f. Suppose -z*a - 16 = -4*b, -a + 4 = -4*b - 3*a. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 25*x**2 + 5*x + 7. Let g(b) = 12*b**2 + 3*b + 4. Give 7*g(w) - 4*i(w).\nAnswer: -16*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, q: 14}. Give prob of sequence ii.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:50 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2883 - 5774 + 2889 - 17*s**2 + 76*s as j + v*s + u*s**2 and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -1136\/167?\nAnswer: -1136\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 26. Let a = 23 - h. Let w(v) = v + 5. Let f be w(a). Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - b**2 - b + 1. Let i be g(0). Let w = 0.304 + -16.004. Let x = w + 16. What is the nearest to 0 in 2, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(22)\/(sqrt(44)\/sqrt(4)) - sqrt(20)\/(sqrt(40) + sqrt(10))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 18 (c) 2 (d) 4\/15 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (-43)\/((-817)\/(-76)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let n(k) be the second derivative of -5*k**4\/12 + 5*k**3\/6 + 5*k**2\/2 + k. Let i(r) = 5*r**2 - 6*r - 6. Let t(a) = 5*i(a) + 6*n(a). Give t(m(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 167\/3. Let c = -8483 + 8483.5. What is the nearest to l in c, -0.3, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 95 = -9*q. Let h = q + -85. Suppose -6*v = -h*v + 256. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*b - 15834 = 220*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/99 - 357\/2079)*-177 - 88\/33.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 5 - 2 + g - 33.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/40 - 30\/80.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*t - t + 2*t - 13776. Which is the third biggest value? (a) -1 (b) -3 (c) t (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 2*y + 5*y + (-17*y - 23*y + 14*y)*(2 + 4 - 2) + 0*y - y + 0*y to a*y + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 4 + 4 + (-6*b + 2*b + 2*b)*(5 - 2 - 1))*(-3*b**3 - 3*b**3 - 3*b**3 + 2*b) as f*b**4 + r*b**2 + v*b + w + g*b**3 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/((-7)\/((-49)\/18)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/36 (b) -3\/8 (c) -2951 (d) -3\/2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-48))\/((-1)\/4*-1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 207?\nAnswer: -88\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3*o + 4 - 2*o + 4*o - 6*o - 1 - 2*o + 1 - o + 2*o + o - 2*o - o + o + (-5*o + 2*o + o)*(-4 + 3 + 2) - 2*o + 3*o - 3*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33261 is divided by 33075?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 8*p - 10. Let s be l(6). Suppose -s = -2*q + 2. Solve -q*z = -2 + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l - 3. Let o be y(3). Calculate the lowest common multiple of 11 and 1*(3 - 0) - o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j - 5*x = -21810, -3*x = -3*j + 65430. List the prime factors of j.\nAnswer: 2, 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 73*l - 26*l + 19 - 28*l.\nAnswer: -4*l + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**3 + 4*b**3 - 2*b**3)*(300*b + 151*b - 66*b) as s*b**3 + p*b**2 + a*b + y*b**4 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1058, -878, -640, -314, 130, 722?\n\"Answer: 5*u**3 - u**2 + 148*u - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-156)\/(-40))*(-27)\/45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, -3\/8, 62\/7 in increasing order.\nAnswer: -2, -3\/8, 1\/4, 62\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 14 = -3*d, -8*t = -7*t + 5. Let h(y) = 2*y**3 + 5*y**2 - 4. Let g(n) = -2*n**3 - 6*n**2 + 5. Give d*g(j) - 4*h(j).\nAnswer: -2*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 - 4. Let h be w(3). Suppose h = 3*a + 2. Calculate the lowest common multiple of 10 and ((-3)\/(-2))\/(a\/8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154996837.\nAnswer: 1154996837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1872) + sqrt(1872) + (2*sqrt(1872))**2*3)*5*-3.\nAnswer: -1010880 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 61, 107, 0.1, 35, 36 in descending order.\nAnswer: 107, 61, 36, 35, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*p = -49, -77 = -7*d + 2*d + 3*p. Suppose 2*u - 17 = -d. What is the tens digit of (-735)\/10*(10\/(-3) + u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902838?\nAnswer: 2, 7, 199, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91 + 1375?\nAnswer: 12b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 4:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 5*o = 44. What is the remainder when (-28)\/(-98) + 2194\/14 + o is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*d - 42, 4*s - 9*d = -6*d + 104. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 9*f + 3*u + 3, -42*f + 4*u = -43*f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 42*z + 40*z + z. Let m be u(1). Suppose 4*x + 27 = m. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 - -368. Is 81 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 10*l. Let c(q) = -q**2 - q. Let n(o) = o**3 - o**2 - 5*o - 27. Let y(f) = 2*c(f) - n(f). What are the prime factors of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.09, -1, 5, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -536 + 598.1. Let g = -61.5 + a. What is the nearest to 1 in -0.06, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/60 + 25*j**4\/24 - 13*j**3\/3 + 34*j**2. Let m be s(-26). Solve l + l + 8 = m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. Suppose z + 1091 = 1090. Let i(d) be the first derivative of -2*d**2 - 12*d + 1. Let l(v) = z*i(v) - 5*q(v). What is l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**23)**(8\/15)*(w**11)**(2\/41) assuming w is positive.\nAnswer: w**(1706\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 - 36*o**4 + 92*o**3 - 44*o**2 - 96*o + 80 = 0. What is o?\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*y - 28, -y - 21 = 5149*v - 5146*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1474, 1472, 1470, 1468, 1466, 1464?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 66. What is the common denominator of 82\/15*((-75)\/s + 3) and -35\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -18. Suppose -3*o = 2*o + 4*p - 6, -o + 6 = -4*p. Suppose 3*a + o*a = -25, 2*a = -3*t + 11. Calculate the smallest common multiple of t and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 49, 3, 1 in descending order.\nAnswer: 49, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00744049 - 136852.13.\nAnswer: -136852.13744049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 146, 142, 112, 38, -98, -314, -628?\n\"Answer: -3*l**3 + 5*l**2 + 2*l + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyxyyzyyjryyyyx. Give prob of sequence xzjr.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 57783.9.\nAnswer: -115567.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-98)\/6 - -1)*54\/(-4)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626732024 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 172. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.34. Let g = f - 2.52. Round g to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 151 + 153 + 151 + 52*v - 455. Let g(q) = -2*q. What is t(g(b))?\nAnswer: -104*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -189*k. Let s(t) be the third derivative of -t**4\/4 - 198*t**2. Determine s(l(m)).\nAnswer: 1134*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/69228 and 115\/11538.\nAnswer: 69228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 914*s**3 - 15451*s**2 - 5*s - 325083477 wrt s?\nAnswer: 2742*s**2 - 30902*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 5 = 13*g. Calculate the remainder when (g\/(-5))\/(3\/(-225)) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.165 + -4.165. Let r = -0.2 - 0.3. What is the nearest to 1 in 2\/3, r, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*i + 7 = 0, z = 5*z - i + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030120 (base 5) to base 14.\nAnswer: -c128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7673 + -4?\nAnswer: -7677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9601072 is divided by 4800508.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5866147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -21. Let j = 0 - -8. Let d(y) = y**2 - 7*y + 4. What is the remainder when u is divided by d(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3528000 to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 44, -38, 361.\nAnswer: -38, -4, 44, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30202221 (base 4) to base 11\nAnswer: -3565a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-790*m - 3101 + 788*m + 9619)*(3*m**2 - 6*m**2 + 4*m**2) in the form b*m + j + z*m**3 + f*m**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077*n + 1141*n = 128 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517570 is divided by 2627?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-84 - -107) + -6 + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2\/5) + 378\/45. Let p(b) = -b**3 + 11*b**2 - 3*b - 30. What are the prime factors of p(n)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0409, 5, -1\/4, -4, -2\/5, -0.222?\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360443709 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + z - 32790 = -4*z, 2*l - z = -13116. Let n be (-7)\/((-21)\/l) - 2. Let m = -1348 - n. Round m to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3640, 7270, 10902, 14542, 18196, 21870, 25570, 29302?\nAnswer: 33072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/5) + 3. Suppose 5*l - q*l = -54. Let p = 33 - l. What is the greatest common factor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30)*-11*15\/(-44)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -842 + 223622*v - 223622*v - 3*v**3 as d + c*v + r*v**3 + o*v**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*j + 5 - 29, 2*j + 5*b = -3. Suppose -4*y = -5*o + 260, -2*y = -4*y - 10. What is the smallest common multiple of ((-9)\/j)\/((-9)\/o) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70136000 to the nearest 100000.\nAnswer: 70100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5908 + -5588. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 26. Let g(q) = 4 + 1 - 2*q**3 + 3*q**3 + 5*q**2. Let p be g(-5). Solve -3*z = 3*b + d, 2*z - 3*b - p = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -8, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 51896 + 12956 = 0. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 3*r)*(0 + 0 - 2) - 14*r + 37*r - 8*r + (-6 - 1 + 3)*(-2*r + 7*r - 3*r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 9. Let z = 22 + -34. Let w be (z\/(-10))\/(36\/(-270)). Let x be (21\/w)\/((-1)\/(6\/(-2))). Determine a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**2 + 2*n**2 - 10*n**2 + 4*n**2. Let v(m) = 48*m**2. Give v(y(z)).\nAnswer: 768*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4112 - 1400420?\nAnswer: -1341303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170932566 divided by 41318.\nAnswer: 4137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.6 and -177335?\nAnswer: 177333.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 - 360. Let q = h + 492. Solve -5*g + 5 = 2*x - 1, -q*g - x = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46709306 is divided by 23354637.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(3\/2))\/i)*i)\/((((i*i**(3\/8)*i*i)\/i)\/i)\/i)*(i*i**(-4\/3)*i*i)\/i**(-1\/10))**(-1) assuming i is positive.\nAnswer: i**(-587\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40002, 80004, 120004, 160002, 199998, 239992?\n\"Answer: -j**2 + 40005*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 4. Let s be p(-4). Suppose -4*t - 62 = -3*m, 0*m - m + 4*t + 34 = s. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 73\/1633247?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 + 2 - 1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -27326002.8.\nAnswer: -8197800.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**4\/6 + f. Let j(r) be the third derivative of r**4\/8 - 5*r**2. Give j(t(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*56\/(-120) + -1 + (9 - (-3577)\/(-455))\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-5))\/(((-243712)\/2040)\/64)?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v**3 + 1)*((4 - 3 + 1)*(-6 + 7 + 1) - 20 + 1 - 7).\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054420543 less than -23?\nAnswer: -1054420566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, -61388, -2\/23, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1916625\/(-442350) - 13\/(-3). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 411\/2 - 206. Let w = -12 - -5. Let h = -7 - w. Which is the nearest to x? (a) 2\/5 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - (1 + sqrt(76) + sqrt(76)))*-3 + sqrt(76) - 1*sqrt(76)*-1) + ((sqrt(76) + 1)*5 - sqrt(76) - -6*sqrt(76)*-2))**2.\nAnswer: -96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 100747701?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.121 (c) -0.27 (d) -1 (e) -3\/7 (f) 0.4 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:08 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g + 255. Let c be b(-25). Solve -5*s + 18*t + 10 = 23*t, -c*s = -5*t - 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 399, 410, 421, 432, 443?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -176. Let d be 354\/(-42) - (-9)\/21. Let h be (-78)\/24*d\/2. Calculate the highest common divisor of r and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*m - 0*m - 3*x, -4*m - 4 = 3*x. Find the second derivative of -19*g**m + 23*g - 19*g**2 + 30*g**2 wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66379033, -132758075, -199137129, -265516201, -331895297, -398274423, -464653585?\nAnswer: -531032789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(-1 + 1 - 2*n) + 0*n + 4*n - 6*n - 5*n - 2*n + 0*n)*(3*n**4 - 2*n**4 + 4*n**4).\nAnswer: -25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308979771.\nAnswer: 3, 53, 1943269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117315, -116710, -115699, -114282, -112459, -110230?\nAnswer: -107595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -796928.165062 + 796929. Let t = v - 1.09499. Let u = t + 0.26. What is u rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -14*j - 43 - 26 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252080, -504159, -756238?\nAnswer: -1008317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/21)\/(3\/(-6)). Which is the second smallest value? (a) 0.4 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - 1 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296348919\/11648 - 2206011\/91. Let p = -1200 + v. Let t = -7337\/640 + p. Calculate the common denominator of t and 49\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(432)\/sqrt(8))\/(sqrt(189)\/sqrt(7)) - ((sqrt(32)*2 - (sqrt(2) + sqrt(10)\/sqrt(5) + 4))*-5)**2.\nAnswer: -2195 + 1201*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let h(p) be the third derivative of p**5\/20 + 8*p**2 + p. Give o(h(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -83, -119, -143, -149, -131?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose 6 = -2*v, v = 4*f - k*v - 1. Let r = 3 + f. Calculate the lowest common multiple of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*i - 6*i + 3 = 0, -2*i = -3*x - 6. What is p in 6\/5*p**3 - 2\/5*p**4 - 4\/5*p**2 + 0*p + x = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.38 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.522848 times 3?\nAnswer: 61.568544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -3, 13, 33, 57, 85, 117?\n\"Answer: 2*x**2 + 6*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -21030?\nAnswer: -21033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 + 0*v**3 + 3*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1563295?\nAnswer: -2\/1563295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-15))\/(-8))\/((-2)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -697 - -399. Let m = f - -292. Which is the second biggest value? (a) m (b) -3 (c) -2\/15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*o = -5*o + 3*o - 14697 + 14723, -3*f = 4*o - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20802 = -5*h, 7049 = 3*h + 7*v - 5438. Calculate the greatest common factor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.208 in -46\/5, 0.2, -14, -1\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + 0.5. Let l = 0 - r. Let w = 0.4 + 0.6. Which is the closest to w? (a) l (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/5 - 12877*z**2\/5 - 543057*z\/5 + 5929821\/5 = 0. Calculate z.\nAnswer: -51, 9, 12919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3097 divide 252027506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/15 and 8\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204 + 205. Let g = 0.5 - -2.9. Let v = g - 3. Which is the closest to w? (a) 1\/9 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13602017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2 + 4*j + 4. Let y be g(-5). Let r = y - 74. Is -1*(-3 + -1 - r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2415)\/(-2530)*(-12)\/21.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-2)\/(-24))\/((-276)\/(-7728))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 3547749610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 8*t + 14. Determine m(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10008 and 10847282.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2987 and 812?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 49. Let y(l) = -3*l. What is y(k(i))?\nAnswer: 3*i**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, 19, 2, 1, 7, 3, -9 in ascending order.\nAnswer: -9, 1, 2, 3, 7, 19, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 155*a**2 + 80*a + 147. Give z(-78).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k**2 + 4. Let p be v(0). Suppose 5 = -d + p*i - 3, -31 = -4*d - 5*i. Suppose 5*w - d = w. Which is greater: -2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 31, 84, 189, 364, 627, 996?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 = -h, 5*f - h - 41 = -0*f. Calculate the lowest common multiple of 43 - (-1 - (3 + -1)) and f.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804369 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*60\/(-80)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, t: 7}. Give prob of sequence tcc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 + -3799\/16. Are -1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose -n = f*n. Suppose 0*z + 3*z = n. Solve -a + 8 = r - 6*a, z = -5*a - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11303 - -25454. List the prime factors of z.\nAnswer: 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1747 - -2797. Calculate the common denominator of -143\/108 and 286\/(-90) + (d\/(-28))\/(-25).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.199916084 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202210 + 200021221?\nAnswer: 210001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-2)\/(2 + 0)). Suppose -h - 2*r - r - 5 = n, 5*r - 1 = 3*h. Does 3 divide (-2 - -1)*-1 - h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-46)*-2*-1. Let f = -31\/115 - j. Which is the second biggest value? (a) 2\/3 (b) f (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.079 * 0.67\nAnswer: 0.05293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and ((-1)\/(-6))\/(9\/81)*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + -13.5. Let p = -1719\/4 - -431. Which is the second smallest value? (a) v (b) p (c) -0.4 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 + 4*c**2 + c - 2. Let z be q(-2). Which is smaller: -142\/7 or z?\nAnswer: -142\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1308*l**2 - 1306*l**2 + 43 - 43.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2\/7 + 20*y\/7 + 16\/7 = 0 for y.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13636\/1923 or -6?\nAnswer: -13636\/1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b9a5 (base 13) to base 3.\nAnswer: -102110200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 9. Let m be n(18). Let i be 1\/((-2)\/m)*(-2)\/(-3). Let k be 1 + (-2)\/3 - (-1)\/i. Put -5, -3, k, -1 in decreasing order.\nAnswer: k, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:47 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(22)\/(sqrt(66)\/sqrt(6))) - ((sqrt(567) - (0 + sqrt(567)))*-3)**2.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.08, -107, 2\/7, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10835207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.2. Let p = i + 4.6. Let l = 0.5 - -3.5. Sort 2, p, l in increasing order.\nAnswer: 2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.1684317 + -49.56842485. Let s = m - 29.6. Round s to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 26*i**2 + 23*i**2 + 53*i**2 - 105*i**2. Let q(x) = 371*x. Give q(k(p)).\nAnswer: -1113*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -5, 8 = -5*z + 2*j. Let d(h) = -h**3 + h**2 + h + 35. Is d(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/(5\/(-15)). Let w(z) be the first derivative of 2*z**3\/3 + 28. What is the units digit of w(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3977078717.\nAnswer: 101, 39377017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -6 + 17 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swasqwztt. Give prob of picking 2 t and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 25*y + 14 = -w, 3*w - 5*y = -14. Factor 4\/11 + 10\/11*m + 2\/11*m**3 + 8\/11*m**w.\nAnswer: 2*(m + 1)**2*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 + 197 = 6*b. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19162 and 858.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, 14, -4, -216 in ascending order.\nAnswer: -216, -4, 0, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w - 4*z, 0*z - 10 = 4*w - 5*z. What is the nearest to 0 in 0.2, -0.02, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71778229 to the nearest integer?\nAnswer: 8472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 5*i + 7. Let h be v(5). Let w(a) = 0*a - a**3 - 5 - 4*a + 4*a**2 + 3*a + h*a. Let p be w(5). Solve -c = -p*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 124663.\nAnswer: 623315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g**2 - 19*g + 86. What are the prime factors of s(5)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1 - -1)*1. Suppose 4*c = 3*h + 2*h - 23, -5*c - 19 = -3*h. Let q(u) = u + 0*u + 2*u**2 - h*u**2 + u**3 + 7. Calculate q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 48200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (429\/11)\/(((-18573)\/(-82))\/151)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 2*i**3 - 3*i**3 + (-18*i**3 + 7*i**3 - 8*i**3)*(0 + 1 - 3).\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 207 = 93. Suppose -2*y - 3*y + h = 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 11*o**2 + 26*o - 4. Give b(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((1680\/(-100))\/(-21))\/(4\/37210).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15484 and 2156?\nAnswer: 170324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.809 - 11.7. Let h = -246.4 - -245.329. Let z = d - h. Round z to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(832)*-1)**2 - (-4 + 1*sqrt(832)*-4).\nAnswer: -66556 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 103854806 divided by 123343\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433124?\nAnswer: 2, 19, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-16))\/(2\/4). Let m(h) = 1. Let q = 7 + -6. Let u(c) = 2*c + 1. Give p*m(z) + q*u(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1599200 and 49\/4597700.\nAnswer: 36781600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4 = -4*g, z - 5*g + 8 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*l + 23, -2 - 6 = 4*m + 4*l. Calculate the remainder when 6 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - -15. What is the greatest common divisor of d and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 - 1 = 0. Let o(v) = v - 2. Let w be o(7). Suppose -3*s + 7*s = w*i + 61, 5*s - 83 = x*i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35397 and 698441805.\nAnswer: 11799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -8 - 2\/4)*0. Suppose -4*d - 1710 + 75 = -c, 5*c - d - 8194 = t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26261 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (2*sqrt(209) + sqrt(209))*2)\/(sqrt(891)*2).\nAnswer: 7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0*c - 6 = -4*f, -2*c + 2*f - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.528 less than 0.1?\nAnswer: -45.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 + (-1256)\/(-64))*-16. Calculate the highest common factor of i and 24558.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 1163.\nAnswer: -34.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*c - 22 + 26, 10 = 5*j + 2*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -127, 662, 1 in increasing order.\nAnswer: -127, -4, 1, 662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:19 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1\/2*g**2 - 1\/2 + 0*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jub when three letters picked without replacement from okuubuj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -51659 at least as big as -51134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 26*u**2 - 25*u - 15. What is k(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3640 by -95.\nAnswer: 728\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010074049 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/94, -2\/9, 0.1, -1\/2?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2128 - -2139. Let d(b) = -b**3 + 12*b**2 - 9*b - 16. Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*4 + 1 + (-1*sqrt(7))**2.\nAnswer: 8 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - h + 3. Let x be q(3). Suppose -x*y - 43 = 11. Let r(z) = -z**2 - 8*z - 1. Determine r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -610 + 721. Let j = -71 - -87. Calculate the remainder when s is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2111*g**2*m**2*r - 23*g**2*m**2 + 61*g**2*m*r + 3891*g**2*r**2 + 559*m**2*r**2 + 2*m*r wrt r.\nAnswer: 7782*g**2 + 1118*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d + 51*d + 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u**2 + 77*u - 4. Give r(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/1764*14*91?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34466035502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80055584?\nAnswer: 2, 7, 17, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/10*(4 + -2). Determine v so that -12*v**3 + 5*v**l + 10*v**2 + 12*v**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/17, 5, -1 in decreasing order.\nAnswer: 5, -2\/17, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -15. Suppose 5*h + k*g - 69 = -9, -5*h = -5*g - 60. What is the remainder when 41 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 14*m**2 + 10*m + 17. Is 10 a factor of u(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = -2*f + d, -4 = 3*f + d. Let k be (16\/24)\/(f\/(-9)). Solve 0 = y - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 116*v - 2287. Give o(25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 - -386. Let q = 36 - n. Round q to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q)**31\/(q*q\/q**3*q\/(q*q\/(q*(((q*q**(2\/17)\/q*q*q)\/q)\/q)\/q)))*(q*(q\/q**2)\/q)**33*q*q*q**(2\/3)*q**(-5\/2)\/q assuming q is positive.\nAnswer: q**(-6421\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 32460 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 2412 = 5*y. Let n = -412 - y. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149 + 1155 = 2*d - g, 5*d - 3*g - 13 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2509595.58 - 2509029.581716. Let d = g + -566. What is d rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -12) + 1 + 1. Let a = l - 10. Suppose 3*t + 2 = r - 0, -2*r + 9 = -t. Solve 0 = 2*j - a*n - 10, 5*n + 25 + r = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 + 5*u + 10. Determine n(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 273468868 to the power of 1\/2, to the nearest integer?\nAnswer: 16537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k. Suppose k = -u + 11 + 1. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -h + 5*b - 2*b, -b + 159 = 3*h. Suppose h = 3*c + 15. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/3*q + 1\/3*q**2 - 5 = 0. What is q?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 33*s**2 + 36*s + 77. What is z(-34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 114*k - 5142 = -1918 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -73*z**4\/4 - 57*z + 32. What is the derivative of o(n) wrt n?\nAnswer: -219*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17083793 + 0.4.\nAnswer: 17083793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/7, -50111, -1, 4, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/50312 and -11\/2804894?\nAnswer: 11219576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 376 + 853 - 392 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + (-2)\/(-4). Let y = 2\/557 - -3332\/2785. What is the biggest value in y, z, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39c2 + -42a?\nAnswer: 3597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/30)\/(2\/(-6)). Calculate the lowest common multiple of 5 + 26 - 0*(2 + w) and 9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 - -144. Let w = -10 - -30. Suppose 128 - w = p*v. Calculate the greatest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11399, -22824, -34247, -45668, -57087, -68504, -79919?\n\"Answer: t**2 - 11428*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1 + 6 = 0. Let b = 4 - f. Suppose -19*o = -27*o - 48. Sort b, 5, o.\nAnswer: o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = -36*d - 48. Suppose 2*q = 6*q - d. Let m be 4\/(-3)*(-12)\/8. Solve -q*j - 2*k = 15, j - m*k - 21 = 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 65. Solve -4*m + 8 = -t*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/1080 + x**5\/270 - x**4\/27 + 901*x**2. Find q such that y(q) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * -52161\nAnswer: -57377.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781972 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*k = -75*k + 199 - 63 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*((-29)\/10 - -3). Let z = 0.03 + 0.27. Let v be 2\/4 + (-66)\/84. Which is the nearest to v? (a) 1 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-120)\/(-75))\/((-4)\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134*w - 1680 = 713*w + 749*w + 720*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*g = 107*g - 10. Suppose -3*l - 8 = 4*z + 3, 0 = 2*l + g*z + 19. Let d be 34\/17*(1 + 0). Solve -l*m + 1 = -d, -3*x - m + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 - 2*y**3 + y**2 + (-14 + 14 + 2*y**2)*(14*y - 27 + 27))*(13 + 5 + 3) in the form x + c*y + l*y**3 + d*y**2 and give l.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 16 + -55 + 85?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9746091358.239 + 1\nAnswer: -9746091357.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 203 (b) -4 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1444 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2. Let l(f) = 49*f**2 + 4*f. Let d(o) be the second derivative of 825*o**4\/2 + 135*o**3\/2 + 11*o. Let r(b) = 4*d(b) - 405*l(b). Give r(g(p)).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/385092 and 17\/45603.\nAnswer: 3465828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 - (15 - 15))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*(-9)\/(540\/24).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.53 + -0.07. Let h = y - -0.598. What is h rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90838, -90837, -90836, -90835, -90834?\n\"Answer: q - 90839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 6*(sqrt(132) + -1*sqrt(132)))*-3)\/((sqrt(108)*2)\/sqrt(9) - (sqrt(108) - sqrt(108)*-1))*-5.\nAnswer: -15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqvqv. What is prob of picking 2 q and 2 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(198)*-2)\/sqrt(6))\/(sqrt(99)\/(sqrt(9)*-1*-4))*3.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 31. Let h be 34\/(-6) + 1\/(-3). Let o be (-16)\/h*(t\/(-12) + -2). Which is the third smallest value? (a) 3 (b) o (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/2 - 2235*h**3 + 17847*h**2\/2 - 11148*h + 4458 = 0.\nAnswer: 1, 2, 1486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -32 (c) 291 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 divided by 2904?\nAnswer: -515\/2904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*w**5 - 908*w + 908*w + (3*w**5 + 2*w**5 - 2*w**5)*(0 - 2 + 3).\nAnswer: 157*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325085 * -3.4.\nAnswer: 1105289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34d5 (base 14) in base 8?\nAnswer: 21763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -133. Let i be 381*((-7)\/f - 5). Let z = 5123 + i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.58 - 36.5794769. Round y to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-22)))\/d)**(-3\/23))**(-21) assuming d is positive.\nAnswer: d**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 - -341. Let x = k - 209. Is 18 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + (2 + -3 - -2) + 86 + -87?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:45 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - k. Let j(i) = i. Suppose -144 = 8*h - 288. Let b be (-11)\/(66\/8)*h\/12. Calculate b*u(t) - 2*j(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and 431.714 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:08 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:40 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120a (base 11) to base 10.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 14*j + 17. Let l be m(-14). Let r = l - 14. Put 1, r, -2 in decreasing order.\nAnswer: r, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 79792*j**3 - 200729104*j**2 + 1966808966400*j - 2430332242560000 = 0. Calculate j.\nAnswer: -12024, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/9300062 - 483089395564\/32550217. Let s = -14835 - p. Find the common denominator of -59\/26 and s.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oto when three letters picked without replacement from {t: 12, o: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -200961 divided by -149?\nAnswer: 200961\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let u = 1.9 + -1.65. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 36*a**4 - 12*a**4 + a**3 + 2*a - 25*a**4 to d*a**2 + y + x*a**3 + w*a**4 + o*a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 529295 + 3*y**2 - 529287 + 190*y**3 in the form f*y**3 + l*y + z + o*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 14*k + 6. Let v(t) = -10*t**2 + 29*t - 13. Let o(a) = 13*b(a) + 6*v(a). Let c(i) = i. Calculate o(c(j)).\nAnswer: -8*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q**2 + 419*q + 37. Let m be r(28). Solve 2*i - 18 = -5*x, -2*x + 15 + m = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*o + 48*o - o**3 + 63*o + 64*o - 238*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -194, 1, 5, 1309, 4, -1 in ascending order.\nAnswer: -194, -1, 1, 2, 4, 5, 1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let r = 397 + -398.82. Let c = -0.18 + r. Sort -1, o, 4, c in descending order.\nAnswer: 4, o, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/2)\/((-3)\/60). Suppose -2*y - 21 = -7*n + 4*n, 40 = 5*n - 5*y. Suppose -n*b = -10*b + w. Calculate the remainder when b is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2133370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49665511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3041251 by 156.\nAnswer: 3041251\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -321*y - 1284. Calculate q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 - 6402*v**3 - 6401*v**2 = 0.\nAnswer: -6401, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1 (c) -1\/3 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**6\/30 - 93*u**5\/10 + 7*u**3\/6 + 25*u**2\/2 - 10*u + 12. What is the second derivative of f(g) wrt g?\nAnswer: -12*g**2 - 1116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and -16523.\nAnswer: -16523.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165 at most as big as 2152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(17940\/27)*1280\/(-384).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - ((-4 - -4) + -10)) + 5 + (3 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 + x - 7. Let n be t(7). Suppose n = -s + 33 - 21. What is the units digit of -14*4*s\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:24 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.039932 meters?\nAnswer: 2039932000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3304192 in decreasing order.\nAnswer: 0, -1, -3304192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30218*f**4 + 742*f**3 + 5*f**2 + 2*f - 84421 wrt f?\nAnswer: -725232*f + 4452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23844 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1022841.0838 - 1022639. Let a = -202 + q. What is a rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*n = -51*n + 66*n - 3175392. Is 62 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/17300634 and -3\/168376.\nAnswer: 69202536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82548.\nAnswer: 2, 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -828*p - 235*p + 53150 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 200080400 to the nearest ten thousand.\nAnswer: 200080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.8\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.2, 13\/4, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = 3*h, 0*h = 5*l - h - 6. Let j(u) be the first derivative of u**2\/2 + u + 34. Let b(n) = -n - 1. Calculate l*b(m) + 3*j(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07006837 and 4.\nAnswer: -0.28027348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 17. What is the highest common divisor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10319 = 3467. Suppose -2*i = -v + z, -4*i + 5161 = 3*v + i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2231356252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-315)*2*4\/(-28)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 76*m + 1. Let d(l) = 691*l. Give d(f(b)).\nAnswer: 52516*b + 691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 14*b - 45. Suppose -3 = 3*f - 4*d - 14, -b*d = f - 10. Suppose 4*x - 2*x = 4. Put 0, f, x in decreasing order.\nAnswer: f, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2 - 9*d + 14. Let v(q) = -15*q**2 - 19*q + 25. Let h(g) = 6*v(g) - 11*z(g). Determine h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h + 4. Suppose 16 = 3*p + 6*m - m, 0 = 3*p - m - 4. Suppose -t + 2 = s - 5, -4*t - p*s = -26. What is the units digit of f(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22.732453258 and -2.186.\nAnswer: 20.546453258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/12)\/2*6)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-70) - (-25 - (-1476)\/60)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h + 24. Let d(r) = r. Let i(z) = 4*d(z) + g(z). Let o be i(-9). Let p be ((-168)\/(-10))\/(14\/o). What is the greatest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in 3\/8, 3, 418, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34865\/187148 + 30\/767. Calculate the common denominator of p and 87\/2.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286.99 + -287. Let v = -7\/6 + 2\/3. Sort u, 4, v in descending order.\nAnswer: 4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/407 in -1\/2, -5, 0.3, 2\/27, 4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 27*q + 1126 = 0. Let y = q + -602. Put 3, -2, y in descending order.\nAnswer: 3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*c - 1428971 + 1432271 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three fifths of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2*6 + sqrt(84))\/(sqrt(54)*-4))\/(3*(sqrt(200) - -2*sqrt(200))*-4).\nAnswer: 13*sqrt(7)\/4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277659 divided by -36?\nAnswer: 1277659\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + 1 + sqrt(1377) + 1 + -4 + -2))**2.\nAnswer: -144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:13 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27418740, -54837485, -82256232, -109674981, -137093732, -164512485, -191931240?\n\"Answer: -w**2 - 27418742*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 22. Let k = q - -2. Is k < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2328 and -1\/28823.\nAnswer: 67099944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 1 - 2 - 1)*(-47 + 87 - 54) - y + 1 - 1.\nAnswer: -29*y + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.15 - -15. Let f = b - -4.15. What is the smallest value in -2\/7, 2\/15, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by ((-16)\/12)\/(5\/(-75)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.31.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12711 + 50767\/4. Calculate the common denominator of a and 17\/(-48) - (-2 + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*g - 26*g + 154. What is the closest to 3 in 0.2, g, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 230?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3595837658 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11) + -3087 + 3149?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1583*z**5 + z - 7?\nAnswer: -31660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + 0.32. Let r = 0.48 - o. Let s = -0.32 - r. What is the second smallest value in s, 1\/5, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 - 614456?\nAnswer: -614553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 100*a + 25*a)*(-a + 0*a - a + (0*a + 3*a - a)*(0 + 4 - 5) - 2*a - 3*a + 0*a).\nAnswer: -1116*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 5. Let p = 3 + z. Let s(r) = p*r**2 - 2 + 2 - 19*r**2. Let v(x) = -8*x**2. Give s(v(l)).\nAnswer: -192*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -85. Suppose 3*v - 36 = -d*v + 5*i, 4*v = 5*i + 53. Suppose -p + 60 = 4*p. Calculate the remainder when v is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17945)\/194)\/37*((-9)\/12)\/(-1).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -5\/24*t**4 + 0*t**7 + 0 + 0*t**6 + 0*t**5 + 0*t**3 + 0*t - t**2 + 1\/336*t**8. Find the second derivative of z(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 9*z - 4. Let a be h(8). Suppose 2*l = m - 18, -4*m - l + 27 = -9. Solve a*y + 12 = 0, -5*r + 5*y - m = -0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d**3 + 1472*d**2\/7 - 546*d + 108\/7 = 0. What is d?\nAnswer: 1\/35, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432155836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0104 and -2238088.8422.\nAnswer: -2238088.8318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 99. Suppose -7*c + v = -39. Let l = 37 - c. Calculate the remainder when l is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-68)\/20 + 4)*11*5. Suppose -4*l = -2*i - 2*i + 124, 2*l + u = i. Solve 0 = 2*b + b - 4*f - i, 4*f = -5*b - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5284416607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.03, 31, -3\/4, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002243 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 2 - 17, -2*c + 2531*v - 22 = 2529*v for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 - 3*r**2 + 8 - 11 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bb34 - 5e?\nAnswer: 2bad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + 3.93. Let g = 316.5 + -317.9. What is the smallest value in w, g, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:00 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*w + w. Is 10 a factor of 4\/3*(-216)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397487 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 6\/11, -1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -141, 1\/2, 9, -2\/7 in descending order.\nAnswer: 9, 1\/2, 0.1, -2\/7, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 26.1. Let p = -200 - -137. Let w = p + 67. Which is the nearest to x? (a) 0.4 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 17*f**2 + 636*f - 106. Let d be w(18). Suppose 4 = 2*m + 4*g, 3*g = -3*m + 6 - 0. Solve -5*n = -20, -m = -3*t - n + d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-1)\/(1 - (-32)\/(-47)). Which is the second biggest value? (a) -1 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(40)\/sqrt(10)))\/((-5*sqrt(512) - sqrt(512)) + sqrt(8)) + -3)*2.\nAnswer: -6 - 2*sqrt(3)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43656334 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2 (c) -3 (d) -0.3 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 541822 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 320*y**3 - 8*y**2 - 14473*y. Let j(l) = 1120*l**3 - 28*l**2 - 50655*l. Let k(s) = 5*j(s) - 17*q(s). What is the second derivative of k(o) wrt o?\nAnswer: 960*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3201479308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2860*13*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 7 = 0. Let a(g) = 4*g**2 - 9*g + 6. Let s be a(o). Suppose 0 = 2*k - 219 - s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a4 + -120?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 12 = 0, 2777*a - 3*f - 57 = -2777*a + 5552*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 20 = 4*h, 2*x = -4*h + 9*h - 25. Let j(o) be the third derivative of -25\/6*o**3 + 0*o**4 + 0 - 16*o**2 + 0*o + 3\/5*o**h. Differentiate j(r) wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(5) + sqrt(5)*3))**2.\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 2139, 7183, 16997, 33171, 57295, 90959?\nAnswer: 135753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13187 is divided by 100?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times -13?\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v + 8*v - 2 - 20*v + 3*v - v**2. Calculate a(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*q - q. Calculate the smallest common multiple of q and 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213263333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7.53*3\nAnswer: -22.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*d + 6, 4*d = -d - 5*g - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 - 165*q**2 + 156*q + 324 = 0. Calculate q.\nAnswer: -1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2815 or -2858?\nAnswer: -2815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 35, 44, 53?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/5, 10, -2\/515, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29964*m - 3 = 29962*m - t, 0 = 4*m - 3*t - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(-5)\/135*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10886*v**2. Let y(s) = -10*s**2. Determine h(y(x)).\nAnswer: 1088600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 7\/(-5))*(-105)\/(-7). What is the tens digit of ((-1)\/(2\/(-20)))\/(u\/57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 723*j**2 - 866*j - 949 + 1778*j - 890*j. Let w(v) = -242*v**2 - 8*v + 316. Let f(h) = -11*w(h) - 4*y(h). What is the first derivative of f(n) wrt n?\nAnswer: -460*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 468\/5? (a) -1\/3 (b) 9 (c) 16 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 36. Let d be 7\/s + 2 + (-324)\/(-60). Let p(r) = 8*r**3 - r**3 - 6 + 4*r + 2*r. Let f(c) = -15*c**3 - 13*c + 13. What is d*f(l) + 13*p(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g + 5. Let d(u) = 3*u + 2. What is -9*d(l) + 4*n(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 81*r**2 + r + 1. Determine f(-1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810333 and 5370.\nAnswer: 8103330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90 + -2)*7\/(-14). Let l = 36 - g. Is l <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = -u + 4*p, 5*u - 19 = 3*p. Solve u*k - 14 = -m + 2*m, -2*k = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -73 + 65 + 2 + 9 + -2. Calculate the highest common factor of 47 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 23 + 7 = 2*g, 5*m - 238375*g - 24 = -238372*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13366810 to the nearest integer?\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 13*h = -11690. Suppose 11*u - 22273 = -h. What are the prime factors of u?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from jsjjsjjjjjhjhjjhj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.023 (c) 4 (d) -3 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -24*s + 2 - 1\/2*s**2 + 0*s**4 + 1\/2*s**3 - 1\/4*s**5. What is the second derivative of y(z) wrt z?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (143\/(-11) - -25) + 3498. What is v rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.375 + 0.015. Let p = 18.3 + -18.7. Put p, -2, -5, h in descending order.\nAnswer: h, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 - (-126)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.1. Let x(d) = -d**2 + 8*d - 5. Let k be x(5). Let i be 6\/k + 0 + -1. What is the third biggest value in 1, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q - 8. Let m(d) = 8*d + 8. Let t(f) = 6*a(f) + 5*m(f). Let h be t(-10). What is the greatest common divisor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 243 = 2*u. Suppose 0 = -0*o + 3*o + 5*z - 89, -o = -2*z - 37. Suppose -o + u = 3*g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 37. Let z = 23 + m. Let w = 0.7 + -2.7. What is the smallest value in w, 2\/21, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 112?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwbqwbwqw. Give prob of picking 1 w and 1 q.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 138 - 125 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 6. What is the remainder when 133 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256507560 and 44888823?\nAnswer: 1795552920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1431 - -1432.493. Let g = r + -140.693. Let n = -139 - g. Sort 4\/9, 2\/17, n, 0.4 in decreasing order.\nAnswer: 4\/9, 0.4, n, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2153 or 15?\nAnswer: -2153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 234543061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 - 11*f - 1\/12*f**4 + 1\/6*f**3 + 2\/5*f**5 + 0*f**2. Let w(y) = y**3 - y**2 - y - 1. Let i be w(2). What is d(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 5*z + 12. Calculate the remainder when y(12) is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1045, -2, -3, -5 in descending order.\nAnswer: -2, -3, -5, -1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -92 + 105 + (-28 - (-1 - -9)) + 6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 11*u + 2004. Does 48 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 1. Let p(k) = 3*k**2 - 5*k**2 - 2*k + 4*k**2. What is p(q) - 2*x(q)?\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2130433324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + -4)*(-39)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18880355, 18880356, 18880357, 18880358, 18880359?\n\"Answer: i + 18880354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202242 is divided by 508?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 23 + 3*x + 6 - 1. Let l be t(-8). Solve 7*w = -l - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 a factor of 233015323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -d48 (base 14) to base 6\nAnswer: -20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 331 - 330. Let t = 17\/5 - 73\/20. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 8. Let a be l(6). Let x = a + -30. What is the units digit of (-36)\/21*x\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 5. Let a be z(-8). Suppose 5*i = -a*k + 51, 2*k - i - 21 = -0*i. Suppose -18 - 117 = -3*o. What is the remainder when o is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-245)\/(-65) - 4)\/(2\/(-26)) + -30.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-24 - 86)\/(3\/96*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1584) + (sqrt(1584) + -2)*5 - (-5 + sqrt(1584)*-1)) + 0)**2.\nAnswer: -840*sqrt(11) + 77638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173670989*x**2 + 53117610*x.\nAnswer: 347341978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -13. Let q = -7 - w. Suppose -2*h + 48 = q*u, -25 = -h - 0*u - 3*u. Calculate the greatest common factor of 76 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or 24?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39664, -159624, -359890, -640456, -1001316?\n\"Answer: n**3 - 40159*n**2 + 510*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(10*n**2 - 10*n**2 - 2*n**3) + (2*n**2 - 1 + 1)*((-3 + 2 - 2)*(3*n + 0*n - 4*n) + 4*n + 0*n - 8*n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8959 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/11 - 24*s**2\/11 - 34*s\/11 + 60\/11 = 0.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/21 and -22\/78729.\nAnswer: 78729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -707.79 and -2.3.\nAnswer: -710.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvbqcquvbccuvqqyvv. What is prob of sequence uu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 32. Solve w - r*w + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*y**3 - 12*y**3 - 127*y**3.\nAnswer: -206*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 263*h**3 - 176*h**2 + 4*h + 4. Let n(c) = -3*c**2 + c + 1. Let y(d) = -4*n(d) + q(d). What is the third derivative of y(b) wrt b?\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 13) to base 15.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 38*a - 195. Let n be m(8). Which is bigger: n or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**3 - 11*x**2 + 9*x - 19. Let t(i) = 6*i**2 - 9*i + 10 + 4*i + 0*i + 5*i**3. Determine 6*q(l) + 11*t(l).\nAnswer: l**3 - l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*f = 65, -123*f + 128*f = -4*j + 100 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2. Let y(o) be the second derivative of -o**3\/6 - 4*o. Determine y(f(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -4*s - 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2120 = -15*y + 5*y. Suppose -4*d = -y - 176. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15900 is divided by 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5192963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2\/5 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 25. Let p = -8 - -3. Which is the biggest value? (a) l (b) 0.2 (c) p (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 7*a**2 - 7 + a + 15*a**2 - 4 - a**3. Let o be t(11). Suppose -3*c - 3*f + 111 = 12, -c - 2*f + 30 = o. Does 28 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 26*c**2 + 9796*c - 1380240. Calculate a(-486).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.22, 4 in ascending order.\nAnswer: -0.2, 0.22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -463*n + 14. Let f(m) = 72*m**2. Determine v(f(j)).\nAnswer: -33336*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*d - 5, 72*d - 13 = -x + 70*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 + 4 + 3131 + -34. Calculate the highest common divisor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let v = 16 + -11. Let y be -7*v\/((-70)\/76). Let r(g) = -y*g - 15*g + 70*g. Give r(m(q)).\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3314)\/3*(-63)\/2760. Let s = -4\/115 - i. Calculate the common denominator of (4\/(192\/(-9)))\/(3\/(-158)) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40939 and 3.\nAnswer: 122817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. Let o = 8 - l. What is the units digit of (-100)\/(-12) + o\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/3 (b) 0 (c) 0.3 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -0.2. Let i = -3.29 - -109.29. Let o = i + -103. Which is the third smallest value? (a) -5 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 12*u - 26. Let b(l) = -u + 3 - 73*l**2 + 74*l**2. Let i(s) = -s**3 - 4*s**2 - 4. Suppose -2*q = -17 - 7. Calculate q*b(m) + 3*i(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029671673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5775 and 6930.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 86030, -0.2 in decreasing order.\nAnswer: 86030, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1492 is divided by 351?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-48)*44\/(-33). Let d(h) = -h**3 - h**2 + 1. Let u(r) = 2*r**2 + 3*r - 3. Calculate p*u(v) - 2*d(v).\nAnswer: 2*v**3 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086 + -61.1942719?\nAnswer: -61.1082719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 4 - -2)*71. Suppose -4*t = -133 - n. What is the remainder when t is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568881 is divided by 374.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6963 and 5192?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -2\/17 (b) 1\/6 (c) 0.8 (d) 0 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 + 90. Let m = 7092\/7 + -30951\/28. Let g = m - p. Find the common denominator of g and 53\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205485 * -2\nAnswer: 410970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -95*o - 76. Let a be x(-3). Suppose -617 = 3*p + 2*g, -28*p + 4*g = -29*p - a. Is p bigger than -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + 472\/(-14). Let k(h) = 36*h - 298. Let l be k(9). Let a = g + l. Which is greater: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1 + (110 - 7 + 77)*(-2 + 8 - 2))*(t - 1 + 1).\nAnswer: 723*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s**2 + s. Let j(d) = 4*d**2 + 56*d + 2. Let n be j(-14). Let z(c) = 5*c**3 - 3*c**2 + 2*c + 1. Calculate n*m(p) - z(p).\nAnswer: -3*p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 286776 (base 11) to base 2\nAnswer: 1101101011010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 6, w: 7}. What is prob of picking 2 w and 2 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 111?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.79 + 6.07. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(24\/(-66))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85404 is divided by 290.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13470*p**2 - 13*p - 13. Let x be q(-11). What is x rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 3*j. Let k(h) be the third derivative of -14*h**2 + 0 + 1\/12*h**5 + 0*h**3 + 4*h + 5\/24*h**4. What is -6*k(m) - 10*w(m)?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 24. Let p be v(-5). Does 10 divide -5*(-8)\/60 + 381\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52592*x**2 - 1354*x - 15.\nAnswer: 105184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 28775*m - 861440. Calculate a(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jajz when four letters picked without replacement from {z: 3, j: 2, a: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t + 50. Let f be h(-4). Let c(o) = -6*o**2 + 5*o + 5. Let k(u) = 2*u**2 - 2*u - 2. Let a(g) = f*c(g) + 5*k(g). Let y(d) = 5*d + 2. Give a(y(z)).\nAnswer: -50*z**2 - 40*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 299*s - 451. Let f be a(4). What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 3513\nAnswer: -165111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 54 - 64 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*3 - (sqrt(567) - (2 + sqrt(567)))) + 3 + -2.\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4 - 2. Let k(d) be the first derivative of -1\/2*d**b + 2 + 0*d + 2\/3*d**3 - 1\/4*d**4. Factor k(c).\nAnswer: -c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*k + 359*k + 54*k + 5610 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654 and 1542598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -4055025046144.\nAnswer: -4055025046149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-28) - 9\/21)*(-2158)\/31291.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/6*(-2 - -8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -44*i + 232 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 16*v + 22. Let j = 2 - 19. List the prime factors of g(j).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -224*t**6\/15 + 114*t**2 + 3*t - 16. Differentiate m(h) wrt h.\nAnswer: -1792*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 74172*t + 519154. Calculate x(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/1745 - 102891\/27920. What is the common denominator of -37\/14 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4252 - 726.\nAnswer: -722.5748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.093 - -0.1134. Let m = -0.5024 + u. Let n = m - -0.5. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 6*b**2 + 4*b + 8. Let g(n) = -n + 3. Let v be g(9). Let t be r(v). Does 24 divide (1 - (-20)\/t)\/((-3)\/1668)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455*o = -1417*o - 30959360. What is o rounded to the nearest one thousand?\nAnswer: 815000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (399\/(-6))\/(3\/(-36)). Suppose -11*k + n = -4*k. Let h = 172 - k. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = -p. Suppose p*k - 2*o = 62, 3*o + 0 = -5*k + 50. Let q = 23 - k. What is the highest common divisor of 90 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 11:21 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1100378 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 422363 - 9?\nAnswer: 422354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -832*k**3 + 48?\nAnswer: -2496*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -403*i - 14. Let g(f) = 403*f + 12. Let c(d) = 4*g(d) + 5*v(d). Let o be c(-4). What is o rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 453\/198*(3\/1 + -2) and -59\/14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*f - h - 6, 3*f + 3*h - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299564.\nAnswer: 2, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 142922685, 285845363, 428768039, 571690713, 714613385, 857536055?\n\"Answer: -k**2 + 142922681*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j - 3*k, 20*j + 10 = 25*j - 2*k. Let p(g) be the second derivative of 0*g**j + 1\/42*g**4 - 6*g + 0 - 1\/21*g**3. Factor p(n).\nAnswer: 2*n*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 3) to base 9.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/20 - (-3 + 1). Which is greater: b or 1\/361?\nAnswer: 1\/361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) -1\/3 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19)\/((-665)\/13980) - 4\/(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-6)\/(-4) + 376\/(-16). Let j be (-268)\/(-5)*(-165)\/t. Let x = j + -141. Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.15 + 2.15. Let i = -15 + 20. Let k = -278 - -3612\/13. What is the closest to -1\/9 in b, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -0.1. Let i = -3.3 - y. What is the second biggest value in i, -5, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 + (-22 - -10 - (12 + 11)) + 103?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:28 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 5*v - 5. Let f(r) = r**3 - 2*r**2 + 2*r + 2. Give 5*f(t) + 2*j(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27837 - -0.07837. Which is the nearest to -2\/5? (a) -4 (b) 122\/5 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 3*s - 45 = -41*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*a - 5 = 0, -5*x = -9*x + 21*a - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1122*n**3 + 2*n*t**2 - 1474*t**2 with respect to n.\nAnswer: 3366*n**2 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469492 is divided by 1500.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9922311 to the power of 1\/2, to the nearest integer?\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20950, -20948, -20946, -20944?\n\"Answer: 2*i - 20952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(306\/765).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*k**3 - 947*k**3 - 270*k**3 + (2*k - 2 + 2)*(-3*k - 3 + 3)*(-1 + 1 - 2*k).\nAnswer: -1177*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n**(-2\/11)*(n\/n**(-2\/3))\/(n\/n**(-2)) assuming n is positive.\nAnswer: n**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 10*h + 146*h + 181 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 80d?\nAnswer: 7fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.5, -30\/17, -3, -1.15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*l = -127, -g - l = 2*l - 41. Let b be g\/6 - (-11)\/(-33). Let u be 2\/42*b\/(-3). Is u != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/9))\/k*k**(3\/7)*k**6\/((k*((k\/(k*k**(-3)\/k*k))\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(314\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311266949 divided by 753673.\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.787493mm?\nAnswer: 787493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*f*r*y - f*y + 13*f - 5*r - 3*y**2 wrt y.\nAnswer: 17*f*r - f - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14110, -28215, -42320, -56425, -70530, -84635?\n\"Answer: -14105*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 16*o**2 - 19*o + 5. Let i(u) = u**2 - 17*u - 9. Let g be i(18). Let p be m(g). Which is the nearest to -2\/7? (a) 25 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 b when three letters picked without replacement from {k: 3, q: 2, b: 2, a: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1446261 times 3?\nAnswer: -4338783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from njndjd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -249. Let p = j - -157.999909. What is p rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((560\/(-126))\/(-4))\/(10\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 22 = -3*q. Let i(c) = -24*c**2 + q*c**2 + 10*c**2. Let w(o) = o**2. Give i(w(x)).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/(w**(1\/2)\/w)*w)*w\/w**(-2\/25)*w assuming w is positive.\nAnswer: w**(-21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v + v**2 + (-221 - 226 + 36*v + 446)*(4*v - 4*v - v).\nAnswer: -35*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.230195059 rounded to five dps?\nAnswer: -0.2302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b10c (base 13) to base 10.\nAnswer: 224275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*r = -b + 24, 3*b - 25 = 4*r. Let p(a) = a + 4. Let j be p(-1). Suppose -j*f = -b*f + 52. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24024 and 91182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 296996?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -156, -1\/6, -7, 3\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f**3 - 243*f - 16. Let z(a) = -11*a**3 - 243*a - 14. Determine -7*l(r) + 8*z(r).\nAnswer: -4*r**3 - 243*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 4*r**4 - 3*r**4 + (-4*r**4 + r**4 - 3*r**4)*(5 - 4 + 0).\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18684 - 1?\nAnswer: 18683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20*v + 259. Let x be l(23). Is -202 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 2, f: 1, n: 1}. What is prob of picking 1 t and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11 = r + 4, 3*x = -4*r + 35. Suppose -r*b = -72 - 713. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810596 is divided by 810366?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -640, -2980, -6880, -12340?\n\"Answer: -780*u**2 + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-13 + 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 7:11 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79722 divided by 26574?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-5 - 2))*4\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303011789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 + -1)*-1)\/(2\/(-2)). Calculate the common denominator of (-415)\/120 + 2\/2 and k\/(-6) - (-6674)\/(-1128).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*(m\/m**(-8\/7))\/m)\/m*m*m**(1\/26)*m)**(-38) assuming m is positive.\nAnswer: m**(-17917\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08844*181.\nAnswer: 16.00764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 1239, 4255, 10131, 19821, 34279, 54459?\nAnswer: 81315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 20, 2*b - 2146 - 5252 = -x. Let v(u) = -13*u - 61. Let w be v(-5). Suppose 0*p = w*p - x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/3)\/(91\/67431) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, 70, 432, 1182, 2446, 4350, 7020, 10582?\nAnswer: 15162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 366 + -370. Let g(b) = b**2 - 2*b - 4. Let d be g(3). Sort -3, d, i in decreasing order.\nAnswer: d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + 5 + -82 - 6) + -18?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/5, -1, 0, -1\/11 in decreasing order.\nAnswer: 0, -1\/11, -1, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3622 + 3625. Solve -5*j + 2*k + 16 - 9 = 0, -p*j + 13 = k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30242 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369361\/38 - -29158\/3. Find the common denominator of 3\/12 - (-179)\/60 and y.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 40*o**2 - 386*o + 973. Determine t(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58377?\nAnswer: 3, 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 - 68. Let i = -41 + r. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 + 3*m + 4. Let q be y(-4). Let f = q - -13. Let w(u) = u - 3. What are the prime factors of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244808 and 1136?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15598957?\nAnswer: 11, 137, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/(sqrt(10)*1 + sqrt(10)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(10\/(-60)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2015 and 23595.\nAnswer: 731445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 183*v**2 - 109*v + 1565. What is l(92)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 - 10*c**2 - 3*c + 3. Let v(i) = -4*i**3 - 9*i**2 - 3*i + 4. Let m(g) = -3*d(g) + 4*v(g). What is m(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*l + 15 = 0, 3*l + 12 - 29 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319095528 = -83*j + 114164472. Let y be (3\/2)\/((-6)\/(-40)). Suppose -y*c = -c + j. What is c rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-940)\/752)\/((-40)\/(-12)*-1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 4, 5, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -24. Let b(n) = 57*n - 9. Let h be b(s). Suppose -4*q + h = -71. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**2 - 9*g - 5. Suppose s - 8 = -3*o + 2*o, 0 = 3*s. Is k(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Suppose -5*k - 5*v + 25 = 0, 3*k - 3*v + 10 = -v. Suppose -4*h + 16 = -k*w + 4*w, -4*h = 2*w - 6. Give p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -285, 0.5, 2\/5, 3, 253 in ascending order.\nAnswer: -285, -1, 0, 2\/5, 0.5, 3, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703.\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h - 8. Suppose v + 12 = 2*c, -3*c + 17 = -0*c - 2*v. What is the remainder when (3 + 16)\/(h\/(-2)) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 61*x**6\/6 - 1307*x**3\/6 + 676*x. What is the second derivative of z(k) wrt k?\nAnswer: 3660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/3 (b) 5 (c) -6 (d) 10\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/5)*h*h**17)**41 assuming h is positive.\nAnswer: h**(4018\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5066599 millennia to months.\nAnswer: 6079.9188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502 (base 16) to base 4.\nAnswer: 110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3)\/o**6*o**(1\/3)*o*o**11 assuming o is positive.\nAnswer: o**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let a(c) = 6*c**2 + 3*c**2 + 8*c**2. Determine l(a(q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 4 + -20 - (-6 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15556432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(605) + 1)**2.\nAnswer: 22*sqrt(5) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrurgrargugarrr. What is prob of sequence aaru?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and 244470.\nAnswer: -78230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*d + 431, -r + 82 = 3*d - 11. Calculate the smallest common multiple of 203 and r.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 8*f + 15. Let b be ((-10)\/(-18))\/(2\/18). Let c be t(b). Solve 3*y + 11 = l, -13 = -2*l - c*y + 3*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 at most as big as 627\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 1 + 2*k + 0*k + 0*k. Give x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**3*o - m**3 + 7*m**2*o + 58*m - 12*o wrt m.\nAnswer: -54*m*o - 6*m + 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2011696 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1577.45193 - 1710.4519247. Let p = 161.7 + -28.7. Let j = p + o. Round j to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2212*r**2 + 1528*r**2 + 1526*r**2 - 5270*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2 - -14) + (45 - 89) + 31 + -71.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82062952?\nAnswer: 2, 31, 330899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12262798 divided by -6131399.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 7*h - 50. What is the remainder when 25 is divided by f(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*h*n**2*o - 482*h*n**2 + 2*h*n*o + 9649*h*n + 13*h*o + h + 41*n**2*o - 3*n**2 - 2*n*o - 7*n wrt n?\nAnswer: 226*h*o - 964*h + 82*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*(-5 + 7 + 1). Calculate the greatest common divisor of 68 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(-5 + 2*sqrt(1573)) + (sqrt(13) + (sqrt(637) + 0)**2 - sqrt(65)\/(sqrt(5)*3))).\nAnswer: -656*sqrt(13)\/3 + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x. Let t(m) = -3246995*m. Determine t(v(z)).\nAnswer: -16234975*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.276921 times 3?\nAnswer: 6.830763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 11\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045468878 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*a - 21. Suppose -5*k + 4*c = -101, -2*k + a*k - 4*c = 50. Suppose h = r - k, -2*r = 3*h - 2*h + 11. Is h < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.18.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 20*i**4 - 6304*i**3 + 48912*i**2 + 76608*i - 884736 = 0.\nAnswer: -4, 6, 1536\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 100*b - 1213. Calculate s(-28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:13 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114564847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 26. Is m equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 104471 + 29?\nAnswer: 10449a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 49*k - 82*k.\nAnswer: -145*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {h: 4, p: 2, g: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 9. Let g = -89 + 0. Let z = g - k. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 + q + 12. Let z = -10 + 16. Let b(w) = 2*w**2 + 1. What is the remainder when b(-4) is divided by y(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6841*-1.\nAnswer: -0.6841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623803063.\nAnswer: 13, 3389, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 545551965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 - f**4 - 3388*f - 5*f**2 + 1760*f + 1722*f + 2 - 2*f**3 as a*f + u*f**4 + g + s*f**3 + y*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1420 by -20.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 4, k: 8, u: 2}. What is prob of sequence zkb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 4*a - 1. Let v be p(-5). Let s(z) = z**2 - 3*z - 3. Let d be s(v). What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/160 + q**5\/10 - 17*q**4\/32 + 5*q**3\/4 - 14*q**2 - 4*q. Factor l(y).\nAnswer: -3*(y - 5)*(y - 2)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u - 4*d + 73, 2*d - 24 = 2*u. Let g be (-2)\/(-3)*270\/u. Let j be (-4)\/g + 1\/9. Which is the closest to -1? (a) -1 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**3\/3 - 8*c**2 + 64*c + 34. Factor z(s).\nAnswer: (s - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6159, -4, -13, -3 in descending order.\nAnswer: -1, -3, -4, -13, -6159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/4)\/(-17)*1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -2, 29, 79 in increasing order.\nAnswer: -86, -2, 29, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g = 879*g + 462*g - 40107 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*s - 82 = 0, 128 = 4*a + 6*s - 2*s. Let z be 4\/14 + a\/(-7). Is 25 a factor of (-75)\/(z\/8*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -2863564?\nAnswer: -15\/1431782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 481979420 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -354 - -353.8. Put 4\/7, l, 192 in descending order.\nAnswer: 192, 4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4487 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + 922?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/7)*f**4)\/(((f\/(f\/f**(-2\/3)))\/f)\/f)**(2\/117) assuming f is positive.\nAnswer: f**(11695\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - -2 - (-183)\/63. Which is the smallest value? (a) 3 (b) 8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100032517*-1\nAnswer: 100032517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7076)\/10)\/((-6)\/(-30)*38\/(-114)). Calculate the highest common divisor of t and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*29\/(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(448)*-1*-2 + 2 + -4)**2.\nAnswer: -192*sqrt(7) + 7177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**2 - 1\/4*p**4 + 0*p**3 + 0*p + 0. Let o(n) = 4*n**2. What is m(o(w))?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*l + 39 = 39. Let r(c) be the second derivative of l + 30*c + 8\/3*c**3 - 47\/2*c**2. What is the derivative of r(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*((0*b**2 + 2*b**2 + 0*b**2)*(1 + b - 1) - 22 + 29 - 19 + 13*b**3) to the form w*b**2 + u*b + n + x*b**3 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1463?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10134d - 0?\nAnswer: -10134d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 4 = 19*c. Let b(w) = w - 2. Let g be b(4). Let d(z) = -3*z**2 + g - 5*z + 0 + z**3 + 4. What is d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75357 = 4*y + 5*w - 66507, 3*y - 106375 = 2*w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 890910 + -1932860. Round g to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 - 104056*p\/3 - 69371\/2.\nAnswer: (p - 208113)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 12 = -19*q. Let w = -31 + 19. Let l be (-6)\/(-15)*w\/(-8). Do l and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79.1 - 79. Which is the nearest to -9? (a) k (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 89168*n**2 + 267476*n + 178312.\nAnswer: 4*(n + 1)*(n + 2)*(n + 22289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2137591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536607.114 - 0.32.\nAnswer: 1536606.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2 + 6*m - 17. Let u = 23 + -35. Let w = 6 + u. Let b(l) = 2*l**2 - 2*l + 6. Let c(v) = w*k(v) - 17*b(v). Find n such that c(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -18, -31, -44?\n\"Answer: -13*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/6 + o**3\/2 - 186*o**2. Give q(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15165302 is divided by 371?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:26 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-28)*((y\/y**(-27))\/y)\/y assuming y is positive.\nAnswer: y**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/391, -1\/5 in decreasing order.\nAnswer: -1\/391, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 12*m**2 - 30*m - 20. Let c(k) = k**3 - k**2 + 4*k - 4. What is the remainder when c(2) is divided by x(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let v(c) = c**3 - 4*c**2 + 4*c + 2. Let b be v(p). Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5 - g**2 - 1 + 21*g**3 - 2 - g to the form i + u*g + y*g**2 + b*g**3 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*g - 28 = 0, -2*s + 7*s - 3*g = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*h**6 + 1597*h**5 + 3607*h**2 + 2*h + 1 wrt h.\nAnswer: -1320*h**3 + 95820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-432)\/14)\/(-6)*525\/2. Calculate the highest common divisor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.78? (a) -2\/7 (b) -26 (c) -4 (d) -2\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 18*p - 5 = 0. Let h = 0.05 + -0.08. Let o = h - 1.97. What is the second biggest value in -1, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/20)\/((-90)\/20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9683123?\nAnswer: 9683123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*q - 23. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 7*i - 5. Let d be p(6). Let v = 12 + -8. Let r = 14 - v. Solve 2*b = -j + d, 4*b + 5*j = -b - r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 3070 in descending order.\nAnswer: 3070, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457256 and 12139.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -1240.\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 71 = 111 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 18c2770?\nAnswer: -18c2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*j + 21, 4*a + j = -0*a + 13. Suppose a*n = -2 - 0. What is the tens digit of 198\/12 + n\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -964645128458.9192 + 965052192824.91920011. Let s = -407064373 + m. Let i = -7 - s. What is i rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 + 14*p - 16. Let u be b(5). Let y = u - -53. Calculate the lowest common multiple of (-14)\/(-2) + (-3 - -4) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12081686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((184\/48)\/(-23))\/((-6)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**5 + 3185486*p**4 + 205*p - 3582 wrt p.\nAnswer: -60*p**3 + 38225832*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 7) to base 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6273.279 centuries?\nAnswer: 7527934.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**7\/1260 + s**6\/240 - s**5\/60 - s**4\/6 - 8*s. Let p(k) be the third derivative of l(k). Determine p(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/27*3)\/(1\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 + 145. Let b be (-3)\/(-2) - 33*(-6)\/u. Let x(o) = -o**2 - 4*o + 1. Calculate x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 678389?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Suppose -6 = -2*b - 0. Solve f = b*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31261751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 + 1486*b\/11 + 418996\/11.\nAnswer: -2*(b - 961)*(b + 218)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*f = -145, 4*f + 70 = 4*m - 134. What is the remainder when 105 is divided by m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8863)\/(19 + -11 + -9)?\nAnswer: 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43612 is divided by 8717?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 78*b**2 + 152*b - 4. Give k(-76).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4*o - 1. Let m be l(3). Let r be (5\/m)\/((-2)\/64). Suppose -3*n + 8*n - r = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6270*z = -w - 6265*z - 26, -4*w - z = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**9)\/u)**(3\/8)*u**(6\/13)\/(u**(-1\/5)\/u))**32 assuming u is positive.\nAnswer: u**(-3564\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:44 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43211\/20 + -2161. What is the common denominator of x and -103\/352?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**7\/21 + v**4\/6 + 4*v + 6. Let o(n) be the first derivative of w(n). What is the third derivative of o(c) wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 11*a + 2054. Let n = 203 + a. Is 3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let i = 0.066 - -0.434. Sort -18, i, z in decreasing order.\nAnswer: i, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.4791461 to 1 dp.\nAnswer: 133.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451429 divided by 15.\nAnswer: -451429\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636421570 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5593 = 5*c + 2*z, c = 5*z + 1431 - 334. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*y + 240. Calculate the greatest common divisor of 1552 and y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2208)\/(-14168))\/((-6)\/(-14))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 691*g**2 + 26*g + 27. Let c(y) = 347*y**2 + 15*y + 15. Calculate -7*c(d) + 4*x(d).\nAnswer: 335*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*m = 323*m - 117. What is the remainder when 165 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2278.0008546 + 2278. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/858 - (-354)\/(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**2 - 9*w - 22. Let k(x) = -6*x**2 - 4*x - 12. Let z(s) = 5*k(s) - 3*r(s). List the prime factors of z(-10).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3226 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 9. What is the highest common factor of q and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*c + 156 = 0, -c - 77 = 3*m + 32. Suppose -84*x - 810 = -79*x. Let u = m - x. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136511227, -136511225, -136511223, -136511221, -136511219, -136511217?\nAnswer: -136511215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/11, -5, 0.0389?\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = -9. Suppose q*f = -0*f - 12. Put 2, f, 7 in decreasing order.\nAnswer: 7, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.63 - 378.88. Let p = j + 369. What is p rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u + 17*u**3 - 7*u)*(0*u - u - u) to the form k*u + g*u**3 + r*u**2 + m*u**4 + z and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2546*f**2*q**3 - 2*f**2 - 6*f*q**3 - 4088*f*q**2 wrt q.\nAnswer: 15276*f**2 - 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582333.\nAnswer: 3, 389, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*a + 258688, -a - 133041 = 5*r + 190323. Let c = 425327 - r. Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 15. Let f(y) = y. Let u(b) = -b**2 - 4*b + 14. Let x(n) = 4*f(n) - u(n). Let v be x(-9). Put v, 3, g in ascending order.\nAnswer: g, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + -47)\/(-444) - 10\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.416575 and 0.0089839.\nAnswer: -2.4075911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1820, 7444, 16878, 30122?\nAnswer: 47176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2597920 divided by 649480\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 92.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -2*b**3\/3 - 11*b. Let n(t) = 3*t + 5. Let k(j) = 2*j + 3. Let f(w) = 5*k(w) - 3*n(w). Determine f(m(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(342)*-3)\/(sqrt(96)\/sqrt(3) - ((sqrt(50) - sqrt(100)\/sqrt(2)) + sqrt(50) - sqrt(50))).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = -21*c - 16. Which is smaller: c or 618?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 4*q + 5. Let r(i) = 11*i**2 + 7*i + 10. Let x(m) = 9*d(m) - 4*r(m). Calculate x(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2, 3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11880 and 3430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -4\/39 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124.5718 - -112.571592. Let b = 12 + s. Round b to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*j - 52*j - 21*j + 715 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -16. Let a be ((-9)\/(-5))\/(4\/20). Let v = 8 - a. Let w(r) = r**2 - r. Let o(d) = -2*d**3 + 4*d**2 - 4*d. Give b*w(j) + v*o(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 4. Let c be i(-4). Suppose 2*s + s - 3 = c. Sort 0.4, s, 0.5 in increasing order.\nAnswer: 0.4, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4748826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 2*m - 5. Let q(c) = 7*c**2 + 4*c - 10. Let w(r) = 5*a(r) - 2*q(r). Let z be w(-4). Suppose z*p + 1 = 67. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -13.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 14*x - 6. Let o be 6 - (3 - (-2 + 4)). Suppose 1 + o = 2*t. What is the smallest common multiple of x and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 61 = 28*a. Let i(n) = 14*n**2 + 12. Let y(j) = 6*j**2 - j**2 - 3*j**2 - j**2 + 1. Let l(s) = i(s) - 12*y(s). Determine l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let h(l) = -4 - 2*l + 0 + 0*l. What is the units digit of h(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 8*q**2 + 7*q - 10. Give n(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1. Let v(c) = 12*c - 5. Calculate 4*b(p) + v(p).\nAnswer: 12*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 y when four letters picked without replacement from qqyhhyyhhyy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 207 = -5*q, -29 = -m - 3*q + 40. What is the remainder when m is divided by (2\/3)\/((-6)\/(-90))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 10*c + 35. Suppose 2*f + 5*t = -51, -5*f + 3*t = -f + 37. Let r be s(f). Let v = r - -458. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64658774 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 463429 + 463473 = 4*b, -4*b = 5*y + 76 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 23*s - 97. Let m be l(-11). Suppose -b + 724 - m = 5*r, -r + b + 139 = 0. Which is smaller: 139 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 24*a. Let z(o) = 2692*o. Calculate z(l(b)).\nAnswer: -10768*b**2 - 64608*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 0. Suppose 9*m - 5*m = q. What is the second derivative of m*h**4 + 11*h**4 + 0*h**4 + 5*h - 3*h wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*30646.\nAnswer: -91938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -295, -665, -1171, -1807, -2567, -3445, -4435?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:19 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7 - 2 = -4*a + 5*a - 12, 3*x = -x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 1)*(3 + 20 - 14 + 2*o) to w + f*o and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*-9*(-2)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 605 = -4*c - 2*k, -2*k = 4*c - 598. Calculate the greatest common factor of 30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, 5, -4, 7.33058, 4, -13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y - 5. Let d be 4\/((-10)\/20*(-4)\/1). Let h(v) = v**3 + 6 + 4*v - 10*v - v**2 + v**d. Give -6*g(a) - 5*h(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 110. Calculate o(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*w + 22875 = 245*w. List the prime factors of w.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 944746377 and 3841.6?\nAnswer: 944742535.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a**4 - 44*a**3 - 462*a**2 - 388*a - 16 = 0. Calculate a.\nAnswer: -2, -1, -1\/23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. Let c be l(3). Let h be (-1 - -2)*(0 - c). Suppose 2*o + 5*r - 29 = 0, h*o + 5*r - 8 = 42. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/1247, 2\/5, 82 in decreasing order.\nAnswer: 82, 2\/5, -19\/1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*9.9.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35083159379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -17.7?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.55424 years to centuries.\nAnswer: 0.7155424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = 30. Sort -2, 5, k.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 85 = 41. Let c = -3 - -3. What is the smallest common multiple of w and (2 + 16)\/(1 - c)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108*i - 205*i + 12460 = 59416 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12957997*c**4 - 7*c**2 - 2425*c + 13 wrt c.\nAnswer: -310991928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*g + 7, 0 = -5*g + x + 2*x - 29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Let u(s) = -s + 12. Let b be u(11). What is the highest common factor of g and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20815, 41630, 62447, 83266, 104087, 124910?\n\"Answer: i**2 + 20812*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-14 - 6)) + 1 + (4 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20\/12 - 196\/(-12) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.564 times -10\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1176864 and 216384?\nAnswer: 115332672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/5)\/(6\/4). Let p be ((-10)\/45)\/((-5)\/(-42)) + 2. Sort p, f, -5 in ascending order.\nAnswer: -5, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + b**2 + (2*b - 2 + 2)*(1 - 1 + 2*b) + (0*b**2 + 1 - b**2 + 6*b**2)*(1 + 2 - 1).\nAnswer: 15*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730 equal to 566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.5527 and -20676.\nAnswer: -20688.5527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + ((sqrt(490) + sqrt(490)*2 - sqrt(490))\/sqrt(10)*-3)\/(sqrt(35)\/sqrt(80) - sqrt(112)\/sqrt(4)))*-1.\nAnswer: -24*sqrt(7)\/7 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 177*g**7\/70 + 169*g**3\/2 + 1711*g**2. Differentiate z(s) with respect to s.\nAnswer: 2124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6 + 2279*u**4 - 2*u**3 - u**2 + 62*u + 28 wrt u.\nAnswer: 120*u**3 + 54696*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35 at most as big as 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 0) + 1*1040\/10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24*(715\/26 - (-6)\/8). Let d = -618 + y. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111101?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 667645, 667725, 667795, 667849, 667881, 667885, 667855, 667785?\n\"Answer: -o**3 + o**2 + 84*o + 667561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 484542082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 12 - 29)*(j**3 - j**3 + 2*j**3) to m*j**2 + a*j + x + h*j**3 and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33016.6 weeks to seconds.\nAnswer: 19968439680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 526. Suppose 0 = 4912*d - 4908*d - 8. Suppose 5*y - h - 531 = -3*n, 4*n - d*y = 1050. List the prime factors of n.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5784442 is divided by 1928030?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32617 and 845.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 78*w**2 + 1969*w + 1133. Give u(-98).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/88495672 and 91\/18?\nAnswer: 796461048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 + 234333?\nAnswer: 234234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1149, 1189, 1251, 1335, 1441, 1569, 1719?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42) + (-104)\/(-24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -133, -114, -75, -10?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -26. What is the tens digit of 196\/3 - o\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13571\/924 + -1065\/77. Calculate the common denominator of 127\/48 and f.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*o + 7, 126*k = o + 127*k + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 + 59*y**2 + 154*y + 57. Let t(n) = -4*n**3 + 40*n**2 + 103*n + 38. Let i(v) = -5*g(v) + 7*t(v). Is i(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246517729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Let q(g) = 1887*g**2 + 3*g. What is b(q(i))?\nAnswer: -5661*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -349, 5 in ascending order.\nAnswer: -349, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40402 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -16. Suppose -q*o + 544 = -10*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/34*(-26)\/195 + (-74)\/15 - 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igqqiilgi. What is prob of sequence gl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/(z*z*z**(-2)))**(16\/7))**(-5\/4) assuming z is positive.\nAnswer: z**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -8 + 29. Suppose 14 = -8*t + 142. Let w be 4\/t + (-21)\/(-12). Solve g*j = -u - 4, -w*j - 8 = -3*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319082, -318997, -318910, -318821, -318730, -318637?\nAnswer: -318542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - 3. Let c = 1232 + -1229. Suppose -2*p = c*b - 50, 0*p - 88 = -5*b - p. Calculate the greatest common factor of b and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8293393 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/6)*z**(-28) assuming z is positive.\nAnswer: z**(-167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((126\/16)\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115479\/(-7371) + (-2)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 51 = v, -2*v + 102 = -0*v + z. What is the remainder when v is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 443\/44 - 41\/4. What is the closest to 2\/7 in 1\/6, -20, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueueelfluuef. Give prob of sequence ufel.\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5643, 6 in decreasing order.\nAnswer: 5643, 6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20927635, -7 in descending order.\nAnswer: 20927635, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let h(w) = 12258*w. Determine k(h(x)).\nAnswer: -24516*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 - m + 69. What are the prime factors of b(0)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-2)*s)\/s**(-5)*s\/(s*s**2)*(s\/s**(3\/2))\/s)**(-3) assuming s is positive.\nAnswer: s**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/20 - (-1)\/(-2). Suppose 14*v**3 - 2*v**3 + 3*v**2 - 7*v**5 - 5*v**h - 3*v**4 = 0. Calculate v.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-10)*(0 - 6). Let d = 2 + -2.4. What is the nearest to 0 in j, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(275) - (3 + sqrt(275))) + sqrt(11) + -4 - (-2 + sqrt(11) + 4)*3)**2.\nAnswer: 52*sqrt(11) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4\/5 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302256433.\nAnswer: 302256433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 + -114. What is the third derivative of a**4 - 3904*a**5 + 2*a**4 - 191*a**2 + 6*a**4 + 3902*a**f wrt a?\nAnswer: -120*a**2 + 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126.31 - -0.31. Let h = 125 + n. Which is the fourth smallest value? (a) -5 (b) 5 (c) h (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/93420 and 173\/21168.\nAnswer: 18310320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30.2 in -21, 2\/29, -5, -2\/11, -0.4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Let y(w) = 7*w**3 + w**2 - w - 1. Let f be y(1). Suppose -3*s + 12 = u, -2*s + 2 = -q*u - f. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27686479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a**5 - 28989*a**4 + 7135392*a**3 + 2974776*a**2 - 28541808*a - 11435280 = 0.\nAnswer: -2, -2\/5, 2, 290, 1643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) + -3 - (2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + w + 19 = 0, 4*x = -w + 2*w + 27. Let c = x - 5. Let r = c + -8. What is the smallest value in 4, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*(b*b**(3\/4))\/b)**(-20))**8 assuming b is positive.\nAnswer: b**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*o + 64 + 5, -37 = -u - 3*o. Suppose 5*y - u = 62. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*c + 90*c + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:30 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -264b6 - 44c?\nAnswer: -26935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 574\/70 + 4\/5. Suppose -c*v - 32230 - 11870 = 0. What is v rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4 = -l. Let t(z) = 17*z - 41. Let s be t(l). Suppose -b + 3 = -0. Calculate the greatest common factor of b and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.99 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -378*k + 3792. Let t be a(10). Solve 10*m - 8*m - t = s, -2*m = 5*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11398518.9 - 1\nAnswer: -11398519.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 46 - 52 = -3*l, -9 = -2*q - 3*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 215\/3. Let w = 7.6 - 8.6. What is the second smallest value in b, -2\/5, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927332939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-54)\/((-24)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 11396.16?\nAnswer: -2279.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27511078?\nAnswer: 2, 7, 1965077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6896 + 4546 = 0. Suppose 2*y - 4*d - l = 0, 0 = -2*y + 3*y + d - 1898. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4340101 (base 6) to base 10.\nAnswer: -215173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288915701 + 498185701. What is f rounded to the nearest 1000000?\nAnswer: 209000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - -6.7. Let l = 3 - z. Suppose 0*p = 3*p. Sort 5, p, l.\nAnswer: l, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377561311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - p**3 + 461995042292*p**2 - 461995042292*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 11 + -1949 + 1879\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 s when three letters picked without replacement from hriusos.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/3 - 202*y**3 + 14994*y**2 + 46818*y = 0. Calculate y.\nAnswer: -3, 0, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0, -4047?\nAnswer: -4047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -3*q**2 - 10 - 3\/2*q**4 - 12*q**3 + 2\/15*q**5 + 1\/30*q**6 + 0*q. Factor a(g).\nAnswer: 4*(g - 3)*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -69a?\nAnswer: -6ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 + 18\/(-45). Let p = m + 3. Find the first derivative of 6 + 12*i**p - 3 - 14*i**2 wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032168 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.967 + 0.033. Let x = 22.7 - j. Round x to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 10*r + 4. Let j(u) = -2 + 19*u - 11*u - 2*u**r + 3*u**2. Let g be j(-9). Which is bigger: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 111272a?\nAnswer: -1112732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2701226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q = 4*b + 54*q - 7, -5*b - 5*q - 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, and 1 e when three letters picked without replacement from ncwwawwwvvve?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k. Let c(j) = -58*j - 3. Let q(r) = -26*r + 2. Let z(t) = c(t) - 3*q(t). What is z(p(a))?\nAnswer: 100*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 16) to base 9\nAnswer: 5571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j. Let s(y) = 9*y. Let v(o) = 5*q(o) + 4*s(o). Let a(w) = -14*w**2. Calculate v(a(p)).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 4:34 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1052908886 + 331167067. Let k = a - -721741804.99999923. Let h = k - -14. Round h to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let d(h) = h**2 - 3*h - 1. Let v be d(4). Suppose -4*f = -v*f - u. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 19*a - 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 12633220?\nAnswer: -12633207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 2)*(-3944 - p + 3944) to the form f + w*p and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0167 rounded to 1 dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 9\/2, -0.5, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*i - 343*i = 4. Let d be (3\/(-18))\/(2\/(18*i)). Let z = -3.5 - -3. Sort d, z, 8\/3 in increasing order.\nAnswer: z, 8\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/24 - 11*l**3\/6 - 51*l**2 + 2*l. What is a(11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -3 (b) 2 (c) 40.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1334 - 912. Which is greater: m or 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1332 and 53710828.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 13201?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13898*o**3 - 18*o + 13*o + 2*o.\nAnswer: 13898*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9350406 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/231)\/(3\/9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34577, -138202, -310911, -552704, -863581, -1243542?\n\"Answer: -34542*g**2 + g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.136 in -0.2, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -33*d**2 + 2*d. Let r(f) = -333*f**2 + 21*f. Let i(p) = -21*g(p) + 2*r(p). Let q(o) be the third derivative of o**5\/15 - 14*o**2. Give i(q(a)).\nAnswer: 432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16 + (-15)\/(26 + -11) - 16)*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.903836l?\nAnswer: 903.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.3999999. What is f rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2619, 4388, 7327, 11430, 16691?\nAnswer: 23104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12*n - 7. Let y(m) = -7*m - 4. Suppose 4*p = -g + 13, 4*g + 1 = -4*p + 5. Let z(x) = g*a(x) + 5*y(x). Calculate z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13*p. Let g(v) = -15*v + 4 - 4 + 13*v. Let w(k) = -k. Let n(s) = 2*g(s) - 6*w(s). What is h(n(l))?\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1110)\/(-1850) + 17\/(-10)*(-72)\/(-164))\/3?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b + 8209*b**2 - 8209*b**2 + 247*b**3 - 18*b - 405*b**3.\nAnswer: -158*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236391 by -109.\nAnswer: -236391\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.3781 millilitres in litres?\nAnswer: 0.4453781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386624 and 896.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12915 and 29565?\nAnswer: 8485155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 52*m + 4 as h + j*m and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/278410 and 1\/5317631.\nAnswer: 53176310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.56 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**2 + 1. What are the prime factors of q(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -g + 58. Which is smaller: g or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12820\/26*(5\/10 - 0). Let g = -246 + m. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5121 is divided by 2515?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 12. Solve z + g*z = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16548373 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (32 - 30 - 2) - -126\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 731 (c) 1 (d) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 0, -14 in decreasing order.\nAnswer: 7, 4, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 - -189. Suppose p - 4*i = 536, -v*p + 1311 = 3*i - 1323. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285.079505993 - 34.079507383. Let z = b + -251. Round z to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + 9430\/(-287) + -3)*(0 + (-49)\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 6*z**2 + 9*z - 8. Suppose -11*o + 27 + 39 = 0. Suppose 2*c - 20 + o = 0. Give k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -78 + 0 + -3 + 3. Let d = o - -80. What is the third derivative of -2*k**2 - 28*k**4 + 7*k**d + 5*k**4 - 4*k**2 wrt k?\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:57 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 19. Let k be c(15). Suppose 0 = -5*g - 415 - 220. Let y = g - -129. Solve k*i + 2 = -y*z, -4*z + 6 = -14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2, 0.1, -2.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**22\/b)\/b)**11*(b**(8\/11))**(-16))**12 assuming b is positive.\nAnswer: b**(28956\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5637 times 42.06\nAnswer: 237092.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 13*g**3\/6 - g. Let m(n) = 8*n**2. Let i(a) = -2*a**2. Let r(k) = -5*i(k) - m(k). Determine r(c(o)).\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13691*m - 13693*m + 0*m**2 + 653 + 3*m**2)*(1 - 6 + 3)*(-1 - 4 + 1).\nAnswer: 24*m**2 - 16*m + 5224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17588907 and 1.\nAnswer: 0.82411093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 3665\/(-180) - -1. Let g = -43\/36 + i. What is the common denominator of g and 19\/97?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 7*k**2 + 7*k - 7. Let r be f(6). What is the least common multiple of (r\/1)\/(7\/(-49)) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 146 = 26*n. Let f be n\/(-4) + 65\/30 - 2. What is the fourth smallest value in 9, -3, 3, f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*f - 5 - 40*f + 1)*(7*f**2 - 7*f**2 + 2*f**3).\nAnswer: -138*f**4 - 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 3*u - 1. Let h(r) = -36*r**3 + 20*r - 8. Calculate -h(y) + 8*s(y).\nAnswer: 20*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 152.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073499 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 1175*k**6\/6 + k**4\/4 + k**3\/3 + 3*k**2\/2 - 1355*k - 1141. What is the second derivative of g(i) wrt i?\nAnswer: 23500*i**3 + 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 11521220.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u + 35. Let m be x(-6). Suppose m*j - 21269 = 130*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -9)\/(1\/5). Let t be -2 + -2 + r\/(-8). Which is smaller: t or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1283 + 0.5283. Which is the nearest to l? (a) 11 (b) -5 (c) 4 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnbbbnnnnnn. Give prob of picking 2 b and 2 n.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*a*z**2 - 19*a*z - 5*a - 4123*z**3 + 955427 wrt z.\nAnswer: -72*a*z - 19*a - 12369*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26882 or 25\/14?\nAnswer: 26882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 14*x + 8. Find the second derivative of -2*u - u + x*u**2 + 3*u**2 + 0*u**2 wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 40*d - 9. Let t be m(3). Suppose -114*q - 108 = -t*q. Which is the biggest value? (a) 3\/8 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 2*r**2 + 3. Let i be l(-3). Let x = -296 - -435. Let w = -79 + x. Calculate the highest common factor of w and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414380?\nAnswer: 2, 5, 61, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from rrrbrb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, d: 1, l: 7, o: 3}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 16*p + 54 = 22*p, -19 = -k + p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 140377930.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 18*i**2 + 3*i - 5. Let u be m(18). Let n = 73 + u. What are the prime factors of n?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-925)\/4)\/(7\/(-2254))*54. Let b be m\/12 - (2 - 21\/12). Let z = 198919 + b. What is z rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let m(o) = -2*o - 16. Let y be m(-7). Sort -1, q, y in increasing order.\nAnswer: y, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2937291 and -0.28.\nAnswer: -0.082244148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 0.0647.\nAnswer: 1.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 4, e: 1, c: 3, b: 1, x: 2}. Give prob of picking 1 b, 2 c, and 1 g.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - w**2 - 4)*(-6*w - 4*w + 7*w - 2*w + 0*w + 0*w + (-2 + 2 + 1)*(2*w + 2*w - 3*w) + 3*w - w + w) to the form k*w**3 + c + u*w**2 + f*w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -53668.2905 to the nearest 100.\nAnswer: -53700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4061 - -4061.2. What is the third smallest value in -1\/6, o, -17\/43?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527005*a + 34137*a - 31968*a - 289984*a.\nAnswer: -814820*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -20598077.\nAnswer: -4\/20598077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*j - 5*z, 3*j + 13 = -5*z + 83. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqeeqqreeqqqer. What is prob of picking 1 r and 1 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1006, -1023, -1066, -1147, -1278, -1471?\n\"Answer: -2*j**3 - j**2 - 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 1. Let i be y(-4). Let b = 135945 + -135949. Sort 1, i, b.\nAnswer: b, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40216 (base 7) in base 12?\nAnswer: 5757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -143\/4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 + 100. Calculate the lowest common multiple of 40 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.024 + 0.02434. What is w rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10356724 and 4068713.\nAnswer: 113923964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 5*b - 3*b + 3*b + 0*b - 6*b + (-2 + 2 - 2*b)*(2 - 1 + 2) + 4 + 2*b - 4.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and ((-55)\/(-30))\/((-2)\/(-12)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-26)\/(-1188) + (-5)\/((-385)\/14) and -119\/66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2807 - 70154\/25. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*69\/46. Which is the closest to d? (a) -4 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 79639867\nAnswer: 238919601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1215, 1246, 1263, 1260, 1231, 1170, 1071?\n\"Answer: -z**3 - z**2 + 41*z + 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3 + 4*k - 7*k - 8*k**2 + 20*k**2 - 8*k - k**3. What is v(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6003*t - 6007*t = 2*p + 34, -5*p - 53 = 2*t for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1141 = -13*v + 1056. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3172980458?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18965, 18967, 18969?\nAnswer: 18971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 37387.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7538*w + 188469. What is s(25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 178701 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 4*u, 5*z - 2*u = -1141 - 1152 + 2321. Factor 12\/7*j - 22\/7*j**3 + z + 9\/7*j**4 - 19\/7*j**2.\nAnswer: j*(j - 3)*(j + 1)*(9*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 30 - 43)*(2*p + 0*p - 4*p)*(1 - 5 + 2).\nAnswer: -564*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 3*p - 69 = 0, 3*x - 4*p + 66 - 117 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 8*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((0 - (-4)\/34) + (-23276)\/(-1564)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 485 + -488. Let t be 4\/v*(-102)\/(-340). Let n = -1\/65 - 127\/195. Put n, 2, t in descending order.\nAnswer: 2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*p = -4, -6*q = -10*q - 4*p - 32. Suppose 5 = -t + 3. What is the units digit of -1 - t - (0 + q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95957*b**3 - 11738*b**3 + 26088*b**3 - 71033*b**3.\nAnswer: -152640*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977004695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-415204*7\/(-84))\/((-2)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f - 73*f + 173*f + 87 = 0 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*m + 592, 4*m - a = 347 + 233. Suppose s - 5*s = -m. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7831 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m**2 - 6 + m**2 - m**2 + 4*m. Let y be l(-8). Suppose w - s - 16 = 0, w - 3*s - y = -0*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0 - 122*m + 2\/3*m**3 + 9\/2*m**2. Determine z(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 0 = 92 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4704 and 1568.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 298?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from {d: 2, b: 5, o: 6}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icolpci. What is prob of sequence lp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1473 - 1473 - 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (15 - 35) - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 15 + 4 + 0 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/42 + l**3\/21 + 2*l. Factor u(d).\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 908003.\nAnswer: -908003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.2 - -8.54. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2170 - 6*l - 1455 + 2849.\nAnswer: -6*l + 3564","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, z: 3, o: 3, e: 6, v: 4}. What is prob of picking 1 s and 1 f?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/3)\/d**(-2\/43)*((d**(2\/15)*d)\/d)**6)**(-5\/11))**(-28) assuming d is positive.\nAnswer: d**(39368\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((sqrt(900) + (sqrt(900) - -3*(sqrt(900) + -1*sqrt(900))))\/(sqrt(12)*-1*4 + sqrt(12) - (sqrt(1452) + 2*sqrt(1452) + sqrt(12))))**2*-5).\nAnswer: -5214\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 19*x**2 - 20*x - 11. Let s be (-1)\/(8\/30)*(-24 - -20). Is 10 a factor of m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8270 - 8325. Which is the closest to -0.05? (a) -2\/15 (b) 2 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14690 - -14697. Let b(t) = 2*t. Give b(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 + 10*w - 47. Let m(j) = 5*j**2 + 11*j - 48. Let d(s) = -6*m(s) + 7*n(s). Is 29 a factor of d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3422*z**3 + 2*z**2 + 2*z - 14?\nAnswer: 20532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4721*-1.3\nAnswer: 6137.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/2 - 1749*s**4\/2 - 109743*s**3\/2 - 1146411*s**2\/2 - 519210*s = 0. What is s?\nAnswer: -45, -12, -1, 0, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 39223.2 to the nearest one hundred.\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/48664 and -117\/24332?\nAnswer: 48664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 118 + 48*a**2.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1878 and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**3 - 254*l**2 + 3401*l + 17. Let x(q) = q**3 + 50*q**2 - 567*q - 3. Let r(c) = 6*m(c) + 34*x(c). Factor r(n).\nAnswer: -2*n*(n - 94)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 2. Let o(x) = x + 1. Let k(g) = -6*o(g) - z(g). Let m be k(-8). Solve w = 5*w + 5*i + 24, -3*w - 3*i - 15 = m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3854*w + 3864*w - 90 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(102))\/(-6*sqrt(24)\/sqrt(4))*-5.\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350055\/26 + -13466. Let a = -5429654631259\/1167483878060 + -11\/170934682. Let r = 1\/1366 + a. Calculate the common denominator of r and u.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + n**2 + 0*n**2 + 7)*(-4 + 37 - 207) as y + r*n**2 + z*n and give y.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62\/17*i + 2\/17*i**2 + 0.\nAnswer: 2*i*(i + 31)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**23*r)\/(r\/(r*r**(1\/5)\/r)) assuming r is positive.\nAnswer: r**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -5)*(-1 + 2). Let v be 16\/(-10) - 2\/5. Let f = l - v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -1) + (-6 - -55 - 51) - 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14423 (base 9) in base 4?\nAnswer: 2121132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110.912 + -111. Let r = 0.407 - y. Let v = r - 0.015. What is v rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.99999951 - 88. What is q rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5122)\/2364)\/(244\/30) and -47\/366.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 2*l - 35, 35 = -303*x + 304*x - 6*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a - 1034 = -57*a. Calculate the highest common factor of a and 2491.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 1\/8*u**4 - 1\/6*u**3 + 33*u**2 + 0 + 1\/6*u**6 + 0*u**5 + u. What is the second derivative of h(y) wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/33 + -271\/1353. Which is the closest to 1? (a) q (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*m - 114*m + 2*c - 2 = 0, -3*c + 19 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187017953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11293.1 - -7621. Round y to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 0, -2\/5, -5, -4, 5 in descending order.\nAnswer: 5, 2\/27, 0, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.78881818 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + h + 4, -5*h - 20 = r - 2*r. Solve r = -7*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4)*(13 + -9)*(-2 - -1). Suppose 2*l - 6*l = 0. Solve -r*i - 6 + l = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522334, 522333, 522332, 522331, 522330?\nAnswer: 522329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z + 3. Let q be o(-5). Suppose 2*h + y - q = 2*y, h + 6 = -2*y. Let 7 + 5*u**3 - 5 - h*u - 8*u**2 + 3*u = 0. Calculate u.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in -6, 1\/5, 5\/2, 172?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from {e: 4, r: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -b05a (base 15) in base 6?\nAnswer: -444134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5 = 3*u, u + 22*o - 18*o = -13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 6*n - 32. Let m be 4\/n*16\/(-22). Let l = m - -7\/22. Is 1\/2 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7004593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116257, -117757, -119257, -120757, -122257, -123757?\nAnswer: -125257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v + 14 = 4*z, 4*v + 12 = 0. Suppose 4*j = 5*g + 200, 371 = z*j + g + 150. What is the lowest common multiple of 72 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 31 - (-1 + 3) - 64 - 2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 11*w**3 + 16*w**3 + 25*w**3.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24744, 25062, 25960, 27738, 30696, 35134, 41352?\nAnswer: 49650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 0*a + a**3 + a**2 + 0*a**2 + 3 - 3*a. Let k be t(0). Let h = -1 + k. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2838 divided by 2.\nAnswer: -1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424423 + -3?\nAnswer: 424420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 88 - 3) + 526 + -565.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4.4. Let i be (2\/(-4))\/((-52)\/(-16)). Let n = -7\/39 + i. Which is the second smallest value? (a) u (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -296 (b) -436540 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 + 36. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105515572 and 12?\nAnswer: 316546716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) -1\/9 (c) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/18)\/(2\/(-3)). Let x = 0.08 + -5.08. Sort u, x, 5 in ascending order.\nAnswer: x, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 12*v - 17. What is the hundreds digit of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -4 (b) 23 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 24. Let i be z(-7). Let m be (-9)\/(-15) - 3\/5. Sort m, i, -1 in decreasing order.\nAnswer: i, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52652, 52617, 52572, 52511, 52428?\n\"Answer: -j**3 + j**2 - 31*j + 52683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*p - 6, 11*h - 9*h = -p + 3. Suppose -2*o = h*k + 2, -2*k = 7*o - 4*o + 3. Let g(s) = 2*s - 8. Let x be g(6). Solve k = -3*d - x - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*d = 9, 76*a - 73*a - d = 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 7409*g - 2*g**2 + 7409*g.\nAnswer: -2*g**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3433 + -3424. Let d(u) = -u**2 + 6*u + 3. Let j be d(-4). Let p = j - -63. Calculate the remainder when p is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:12 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1378194*j*r**3 + 27647546*r**3 wrt j.\nAnswer: 1378194*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + p = 108, 6*p = 3*h + 4*p - 99. Calculate the remainder when 1614 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 6*k + 55. Let v be l(-10). Suppose -v*u = -1444 - 311. Calculate the greatest common factor of 273 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -17*v - 137. List the prime factors of v.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110697, 442792, 996271, 1771128, 2767357?\nAnswer: 3984952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {k: 1, f: 1, q: 1, d: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.01 - -0.01. Let x = -7942 - -7937. Put x, -3, 4, d in increasing order.\nAnswer: x, d, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(1573) + 3)**2 - sqrt(156)\/(sqrt(72)\/sqrt(6))) + -3*((sqrt(52)\/sqrt(4))**2 + 0 + (sqrt(65)\/sqrt(20))**2).\nAnswer: -6523\/4 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 3*z**2 + 0*z**2 + 3*z**2 + z**2 - 3*z**2 + (-3 + 3 + 2*z)*(-1 + 1 + 2*z) + 3*z**2 + 1 - 1 - 2*z**2 - z**2 + z**2 + 3*z - 3*z + 2*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/54461 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f - 4. Let t be w(-8). Let o = -71 - t. Solve -3*k + 2 + 0 = -2*g, -o = 5*k + 5*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {x: 2, q: 3, y: 1, w: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/40 + 7*q**5\/15 + q**3\/2 + 2*q**2 + 111*q. Let a(m) = m**3 + 9*m**2 + 1. Calculate -7*a(k) + 2*g(k).\nAnswer: -k**3 - 7*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1686476320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - l - 3348, y - 2*l - 10049 = 4*y. Let x = -4 + y. Let u = -2302 - x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4601402 divided by -2.\nAnswer: 2300701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4 - 6 + 2 + 4 - 1 - q. What is y(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58381.\nAnswer: 79, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5950 + -5944. Let q = 13\/6 + -103\/42. Which is the second smallest value? (a) 1\/4 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000107328 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211913 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 - (-23040)\/(-270))*-54.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*c - 392*c + 188*c - 114 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -107, -96, -83?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 61, 149, 281, 463, 701?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/6, 2\/3, 102, -0.257?\nAnswer: -0.257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f = -2*f + 87. Suppose -4*o + 0*o - 20 = 0, -f*o = 2*k - 625. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209\/4 + -52. Let b(a) be the first derivative of 3\/2*a**2 + i*a**4 + 1 + 3*a - 4\/3*a**3. Calculate b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3485 is divided by 1157.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 + -5 - -1 - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 + 0.05. Let s = 10 + 5. Suppose 5*l = -s - 10. What is the closest to 1 in 1, l, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3 - 2*n**2*y**2 - 215*n**2*y - 6*n*y - 3558*y**2 wrt n.\nAnswer: 12*n - 4*y**2 - 430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**3 + 0*h**3 + h**3)*(88844 + 1771*h - 88844) + 6*h**4 - 3*h**4 - h**4 in the form b + x*h**4 + y*h**2 + n*h**3 + u*h and give x.\nAnswer: 8857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j - 10 = -27*j. Let t = -25 - -34. Let v be (-9)\/(-45) + t\/5. Solve v*d = 3*x - 8, -2*d + 3*x - 5*x = -j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p = p. Let k be p + -4 - ((-1550)\/16)\/25. Sort 7\/10, k, 5\/2 in decreasing order.\nAnswer: 5\/2, 7\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*k - 28 = 0, -5*w - k = k + 35. Let p be 1*25\/(-4) + -19 + (-292)\/(-16). Is p equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. What is the derivative of 5*b - h*b + b - 35 - 4*b**2 - 4*b wrt b?\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6592 = 4*z - 2564. Suppose -y - 6*y + z = 0. List the prime factors of y.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 16. Suppose -i*f + 6 = -7*f. What is the tens digit of 10*(-1 - f - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731279244.\nAnswer: 2, 43, 59, 170603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let n = 51 - -69. Suppose 8*d = 13*d - n. Calculate the greatest common divisor of d and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287 - 464. Let v = 755.67 + g. What is v rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/28)\/((-14)\/(-539)) - 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3 - 182*f**2 = 0.\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850132 is divided by 424939?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 2*z + 12 - 9. Let j be t(-3). Let k(w) = -w**2 + j*w**2 - w**2. Let u(c) = -3*c. Determine u(k(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/sqrt(144) + sqrt(504)\/(-2*sqrt(8)))\/(sqrt(81)\/sqrt(81) + sqrt(729)*2).\nAnswer: -3*sqrt(7)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9869.823 months in millennia?\nAnswer: 0.82248525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1651307377287\nAnswer: -1651307377289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 18. Let t be 70\/21 - g\/6. Let c(o) = 0*o**t + o**2 + o**2. Let r(m) = m**2 + 5*m. Give r(c(f)).\nAnswer: 4*f**4 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -767044 (base 12) in base 4?\nAnswer: -13022211310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 816 divided by -100\nAnswer: -204\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + (-8)\/3. Let h be (1 + -1)\/j + 2. Factor i**h - 2 + 11 - 6*i + i - i.\nAnswer: (i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1709 + 2742. Let c = x - -44. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1 + -1 + 1). Suppose 0 = -b + 6 - w. Solve -q - q = -b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 24 - 216 = 0. Solve 3*m - f*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1269*w - 1269*w + 64*w**2 to y*w + z + r*w**2 and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 - 3*l + 3 + 1 - 5. Let z be b(1). Let q(r) = r**2 + 3*r - 1. Let a be q(z). Solve a*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -1\/30*n**5 + 0*n**3 + 0*n**6 + 0*n**4 + 0*n**7 - 1\/84*n**8 - 4*n**2 + 0*n + 0. Find the third derivative of v(s) wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 3*x, 4*l = -x. Suppose -5*s + n + 10 = l, -5*n = -4*s + 7 + 1. What is the units digit of 1*(s - -3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0124495941 to 6 dps.\nAnswer: -0.01245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v - 8. Let d be m(8). Find the common denominator of 69\/20 and -1 - 4\/(d\/107).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85851 * 0.02\nAnswer: -1717.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32984783*k**2*m - 6883310*m + 7 wrt k?\nAnswer: 65969566*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 8*b**2 - 7*b - 4. Let y be k(7). Let m(f) be the third derivative of -f**6\/120 - f**5\/15 + f**4\/12 + f**3\/2 - 19275*f**2. Calculate m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37757, 66426, 95095, 123764?\nAnswer: 152433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010 - 100011100000011?\nAnswer: -100010111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31441440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.75 - -3.92. Let t = q - 1.1095. Let n = -0.060499617 + t. Round n to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -572*d**3*l*w - 2*d**3*l - d**3*w - 9*d**3 - 4*d**2*l + 458*d*l*w + 1 wrt d?\nAnswer: -3432*l*w - 12*l - 6*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -230, -881, -1968, -3497, -5474?\n\"Answer: -a**3 - 212*a**2 - 8*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 3)*(6 + 4*v - 6*v - 4).\nAnswer: 8*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 1, h: 8}. What is prob of sequence chhh?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = -4*i, 0 = -1976*i + 1973*i + 2*k + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10018951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24988?\nAnswer: 2, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 79950565?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**3 + 3*u**3 - 2*u**3)*(u - 1 + 1) - 4*u + 4*u - 4*u**4 - 29*u**2 + 8*u**4 + 29*u**2 to h*u + a*u**3 + l*u**4 + o*u**2 + d and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*u - u + 1723, 3*u + m - 1033 = 0. What is the tens digit of u\/414 - (-15938)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*((2*h + 2*h - 5*h)*(1 + 1 - 3) - 2*h + 2*h - 2*h)*(-4*h**4 + 0*h**4 + 6*h**4 + (-127 + 127 + 17*h**2)*(h**2 - 3*h**2 - 2*h**2)).\nAnswer: -66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*z + 6. What is the remainder when ((-3)\/z)\/(2\/(-84)) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 519*v**2 - 2457*v.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1594 and 5?\nAnswer: 7970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540496643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564974 is divided by 521654.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 205197426 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84\/7)\/(-3*1 + 2). Let j be ((-1992)\/14)\/(h\/(-40) + 0). Let x = 471 + j. Is -2 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2)\/((-1)\/(-2)). Let m = -8 + l. Let g be 52\/(-13) - (-11)\/3. Which is the second biggest value? (a) g (b) -5\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -779 (base 10) in base 12?\nAnswer: -54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115818, -115817, -115814, -115809?\nAnswer: -115802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -105\/2 in 2, -0.3, 120, -16\/11?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -4694752.\nAnswer: -4694752.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27055 + 0.01.\nAnswer: 27055.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221001 (base 3) to base 7.\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.088\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12) + ((sqrt(84)*1)\/sqrt(7) - sqrt(12)))\/((-1*sqrt(24))\/sqrt(4) - sqrt(6)).\nAnswer: -sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 31902, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74942860 + 1?\nAnswer: -7494285a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 163 (c) -33 (d) 0.1 (e) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-8) + -1)*(-148 - -232). Suppose -2*k + k + 7 = 0. Calculate the greatest common factor of z and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -839. Let x = 620 + n. Let y = -1 - -1. Which is the closest to y? (a) x (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**3 - 4*x**2 - 5*x + 4. Let m(n) = -32*n**3 - 7*n**2 - 9*n + 7. Calculate -4*m(r) + 7*u(r).\nAnswer: 16*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Suppose r*o = 4*n + 2*o - 50, 2*n = 3*o + 21. Let d = 4 - 2. Solve p + 3*p - y = -n, d*y = 4*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:35 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3 + 7. Put 7, h, -23, 1 in increasing order.\nAnswer: -23, 1, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, -2, -25 in ascending order.\nAnswer: -202, -25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*h + 4*h = 16, 0 = -5*p + 3*h + 8. List the prime factors of (-1 - -14) + p + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/4 and -115\/1272?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - u**2 + 251*u**4 + 2*u - 10*u**4 + 2*u - 21*u**4 + 3*u**2 to q*u**3 + k*u + f + b*u**4 + d*u**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 15*f + 26)*(-f + 3*f**2 + f)*(-1 + 3 - 1) + (-5*f + 2*f + f)*(0*f**2 - 2*f**2 - f**2).\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -1.7, 0, -5, 2\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**2*s**3 - 2*p**2*s**2 - 5*p**2*s - 2*p - 10595*s**3 + 1857*s wrt s.\nAnswer: 12*p**2*s - 4*p**2 - 63570*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, 115, 491, 867?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 12:48 PM?\nAnswer: 449","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342577 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 39*l**2\/2 + 19*l.\nAnswer: l*(l + 1)*(l + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -407110 divided by 7402?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*l = -9, 0 = 5*s - 2*l - 2*l + 10. Suppose -s*y = -34 + 22. What is the lowest common multiple of 14 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Let i(j) = -j**2 - 22*j - 56. Let v be i(-11). Calculate the highest common divisor of c and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i. Let b(s) = 3600 - 3*s - 3600. What is k(b(m))?\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*k - 8*k - 11*k to the form m*k + l and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35134623893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 22, 3, -2 in increasing order.\nAnswer: -3, -2, 3, 20, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - (2 + -2) - -5)*-539. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/(-96))\/11*(4*3)\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = f - 41, -28 = 4*f - 2*y - 196. Let k = f - 40. Solve 3*q = 9 - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69417 and 2187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkro when four letters picked without replacement from xoxrorokorxxxx?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.535 + -0.465. Let c = -1.587 + 0.587. Sort a, c, -0.4 in increasing order.\nAnswer: a, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**5 + 35*q**4\/2 + 455*q**3\/3 + 190*q**2 - 10300. Determine y so that c(y) = 0.\nAnswer: -4, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -119890*l + 839318. Determine j(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32101 (base 4) to base 9\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)*-3)\/sqrt(2))\/(sqrt(10)\/sqrt(2)*-2))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.4. Let n = -415 + 419. Which is the third biggest value? (a) n (b) h (c) 7 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2930 and -1223.\nAnswer: 3583390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1432 - -72?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*k**2 + 6 - 2*k**2 - 6 in the form b*k + s + m*k**2 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((0 - -26) + (-23 - -22))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -401 - -403. Suppose 0*a - 4*a - 5*p - 5 = 0, 2*a = -3*p - 5. What is the nearest to b in a, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/5 - 820*l + 65088\/5 = 0.\nAnswer: 16, 2034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12876480 divided by 11835.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-9))\/(16\/(-72)))\/((-42)\/7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aataaaaaata. Give prob of sequence taa.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v, -4*y + v + 8 = -0*v. Put -3, y, 6 in ascending order.\nAnswer: -3, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 p when four letters picked without replacement from {o: 4, p: 3, s: 1, t: 2, e: 1, v: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 - s + 6. Let r be 0\/(-1 + -3) - -3. Suppose -3*u + r = l, -u + 2 = l + u. Calculate q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*((-2*sqrt(102)*-2 + sqrt(102))*2)\/(sqrt(600)*1 - (sqrt(6) - (sqrt(24)*-1)\/sqrt(4) - sqrt(6))))**2.\nAnswer: 435200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 100*y**3 - y**2 + 4*y - 2. Let f be o(1). Let a be (1\/(-2))\/((-2)\/(-4))*f. Let m = -95 - a. Sort m, -3, -5 in increasing order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221615473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*l + 200, -l = -2*s + 7*s + 67. Let n = -21 - l. What is the greatest common divisor of n and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**3\/3 - 3*n**2\/2 + 5563*n. Let g(j) be the third derivative of -j**4\/8 - 7*j**3\/6 + j**2. Calculate -2*g(b) + 5*r(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1009*c**2*i - 833*c**2 wrt i?\nAnswer: 1009*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4 + 34*t**3 + 204*t**2 + 504*t + 432 = 0.\nAnswer: -6, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 2*a - 3*a + (0 - 3 + 1)*(a - 5*a + 6*a) - 3*a + 4*a + 0*a - 2*a + a + 2*a + (-5*a + 2*a + a)*(0 - 5 + 2) - 4 + 4 + 2*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - c + 0)*(410 - 3186 - 2042 + 1147 - 1387) to the form f*c + i and give f.\nAnswer: 5058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16.07 times -88\nAnswer: 1414.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1100, 2163, 3216, 4259, 5292, 6315?\n\"Answer: -5*i**2 + 1078*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45437181.3 rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + ((-12)\/10)\/(2\/5). Suppose a*v + z - 17 = 0, -2*v + v = 3*z - 18. Solve 0 = 5*q - 3*b + 22, 3*q + v*b + 20 = -2*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10212 + 16931. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -224, -227, -230, -233?\n\"Answer: -3*k - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-490)\/(-21)*(-5*72\/30)\/(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-8)*(-80)\/(-30). Let f(h) = 2*h - 5. Give f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5585 - 5235. Calculate the remainder when g is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/6 + o**2\/2 + o. Let m be t(-4). Let h(g) = 5 - m + g**2. Let a(b) = b**2. Determine a(h(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 20*r = 3. Suppose -2*i - 5*a + 10 = -a, 0 = -3*i + a + 15. Solve 0 = -i*s + 2*f + 13, -3*f = -2 - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 123.\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*l**3 + 11*l**4 - 2*l**3 + 2*l**3 + 8*l**2 wrt l?\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965327245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -18\/1131329 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:53 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1520\/(-2508) + 1\/3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23252.12119 rounded to the nearest one hundred?\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 7*t**2 - t + 5. Let s be k(-4). Let c be (26\/s)\/(2\/(-33)). Calculate the greatest common factor of 451 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 17089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/((-16)\/4) - (-18 + 27)) + (8 - -2). Suppose -4*a = -2 - 10. Put 6, z, a in descending order.\nAnswer: 6, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*6 - (sqrt(84)*1 - sqrt(84) - sqrt(84))\/sqrt(7))\/(sqrt(150)*3 - sqrt(150) - (sqrt(42)\/(sqrt(42)\/sqrt(6)) - sqrt(6))).\nAnswer: 7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104197.\nAnswer: 29, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 5*l**2 - 6*l. Let y be k(6). Let r be (y + 0)\/(-1) + 2. What is the second derivative of -3*v**3 - r*v + 2*v - v wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -66*n + 4, -3048*n - 4 = -3049*n - p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m**5 - 1268*m**4\/3 + 36784*m**3\/9 + 71648*m**2\/9 + 41888*m\/9 + 7744\/9 = 0.\nAnswer: -2\/3, -2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10132281.7 rounded to the nearest 10000?\nAnswer: 10130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82005 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 973?\nAnswer: -85\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*q**2 - 73*q**2 - 1854*q**2 - 561*q**2.\nAnswer: -2225*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216 + -145. Let a = k + -35. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7)**(-19\/3)\/(x\/(x*x\/(x*x*x**18*x*x))*x*x**9))**(-43) assuming x is positive.\nAnswer: x**(9718\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 20*m**2 + 33*m + 57. Is 14 a factor of q(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172223 or -172170?\nAnswer: -172170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -24, -14, 0, 18, 40, 66?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3281 >= -3234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 70*s - 4. Let h be m(-21). Calculate the greatest common divisor of 58 and h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + 1 + -1)*-4. Suppose 4*p = -y + r, -4*p - y - 4*y = -36. Calculate the remainder when 39 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/7 - 1730*m**4\/7 + 373244*m**3\/7 + 376708*m**2\/7 - 373246*m\/7 - 374978\/7 = 0.\nAnswer: -1, 1, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32236032)\/(-4092) - 4\/(-22).\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84002\/75 + 1120. Sort l, -5, 5 in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/15))\/(r*(r**(-12)\/r)\/r))**(-10\/9) assuming r is positive.\nAnswer: r**(-418\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 5*l + 5. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3200\/77 - 261\/7. Calculate the common denominator of -53\/3 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, 5, -536, -2.\nAnswer: -536, -2, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38869.8 times -3?\nAnswer: 116609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3539*c**2\/2 - 28313*c\/4 + 1 = 0.\nAnswer: 1\/7078, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 2 = 0. Suppose 2*w = -c*w + 12. Suppose w*m + 32 = 4*m. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -2, 1\/4, 2, -174?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*((3 + -2 + 1*sqrt(19) - (sqrt(19) - -1*(sqrt(19) + 0))*4) + 1))**2.\nAnswer: -112*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -974 - 192. Is f at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24455 and 34310?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3815295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 1330\/105)\/(-12) + (-50)\/252.\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 12*m**2 + 11*m + 15. Let k be b(11). Suppose 3*i - 40 = -5*j, 26*j + 3*i - 49 = 33. Solve 0 = 3*l - j*g - 3 - 2, -k = 3*l + 3*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)*t**(4\/3)*t assuming t is positive.\nAnswer: t**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4 - 24*p**3 - 38*p**2 + 156*p = 0.\nAnswer: -3, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-295)\/(-3))\/(-12 - 876\/(-72)). Find the common denominator of -151\/24 and ((-583)\/t - -1)*105\/14.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2. Let x(u) = 41*u + 36*u - 75*u. What is x(v(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 80 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278 - -498. Suppose -v = 4*v + h. Let u = -22 - v. What is the remainder when u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/(sqrt(768)*-3))\/((4*-4*sqrt(45))\/sqrt(9)))**2.\nAnswer: 11\/147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 247 = 16. Calculate the greatest common divisor of 35 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013 is divided by 1506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 153. Calculate the highest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-45))\/((-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14530 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -5*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.1 (b) -0.9 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/54 in 0.4, 0, 5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-10)*(65\/(-78))\/1. What is the closest to 0.005 in m, 12, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844904253.\nAnswer: 3, 281634751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 92. Let u be x(-13). Solve 5*q - u = -3*p, 2 = -p - 4*q + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 255 = 22*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 660 - 325. Suppose -2*h + w + 449 = 0. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -88. Put a, -8, 6 in decreasing order.\nAnswer: 6, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*11\/(-55))\/((-6)\/(-165)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86685 + 86687. Suppose -7\/3 - 3*d - 2\/3*d**u = 0. Calculate d.\nAnswer: -7\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 73. What is the fourth biggest value in 4, s, 2.7, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -25*v - 52. Suppose 19446 = -v*z + 20*z. What are the prime factors of z?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(891) + 1) + (sqrt(121) + -1*sqrt(121)*1)\/sqrt(11))*1.\nAnswer: 2 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r - 8. Let j(v) = -v + 2. Let q be j(-5). Suppose -z - k + 13 = -0, -15 = -3*z + 5*k. Calculate the remainder when z is divided by o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 210*r + 1. Suppose 7 = -3*t - 5*d - 1, -3*t + 4 = 2*d. Suppose -t = -k, -6 = -5*s - 3*k + 11. Is g(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02498 and -17?\nAnswer: -0.42466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1953 and 15789354?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 5*k**3\/3 + 462. Let s(f) = 2 - 2 - f**2. What is s(m(x))?\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2.91 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j**3)*(-17*j + 616 - 616).\nAnswer: 34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 13 + 118 = 11*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 + r**2)*(r**3 - r**3 - r**3) - 3*r**4 + 0*r**4 + 7*r**5 - 8*r**5.\nAnswer: -2*r**5 - 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Determine d, given that 3*d**2 - 4*d**2 - w*d - 4*d - d**4 + 3*d**3 + 2 + 5*d = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1 - 7. Let s = 7 + -6. Let m = -0.7 + s. What is the third smallest value in m, z, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32743 + -32742.976. Let a = 0.2 + 0.3. What is the second biggest value in a, -2\/9, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18267 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a + 6 - 11 - 13. Let m be n(-4). Solve 0*i = m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/120 + c**5\/12 - c**4\/3 - c**3\/2 + 3*c**2. Let o be (4\/(-10))\/(2\/30). Is 5 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 211757 from 209873.659.\nAnswer: -1883.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + -6*((-1*sqrt(84) - sqrt(84))\/sqrt(12) + 0))**2.\nAnswer: -3051 - 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -233663510 to the nearest one hundred thousand.\nAnswer: -233700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -435*y + 3653*y - 90104 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 91*n + 5. Let w(r) = 1758*r. Determine w(z(q)).\nAnswer: 159978*q + 8790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4067284*s**3 - 3950858.\nAnswer: 12201852*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.066345, -93 in increasing order.\nAnswer: -93, 0.066345, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/184 and 63\/138184.\nAnswer: 138184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w. Let n(g) = -2*g + 3. Let q be n(2). Calculate the least common multiple of 7 and q\/(-1) - w\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2481711 (base 9) to base 3\nAnswer: 2112201210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.7907um in centimeters?\nAnswer: 0.09727907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 1399*d + 959*d - 6 + 6 + 2.\nAnswer: -d**2 + 2358*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -0.0405?\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -80467 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 564, 1273, 2266, 3543?\nAnswer: 5104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/8)*q**(-7)*(q**(-2\/29)\/q*q)\/((q*q**(3\/4))\/q)*((q*q\/(q*q**5))**(-14))**15 assuming q is positive.\nAnswer: q**(193327\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6275 - 6275 - 349*p**2 in the form a*p + v + w*p**2 and give w.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26927*k - 26904*k = -2*b - 65, -5*k - b = 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 + 5 = 0. Let b be (924\/(-15))\/(-4) + d\/(-10). Let x = -16 + b. Solve -2*c + c + 4 = x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p - 8*p**2 + 3*p**2 + 3*p**2 as m + f*p + s*p**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 146003 divided by -13\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17651 divided by -19.\nAnswer: -929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18522 and 18711?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 u when four letters picked without replacement from nnnnununnwau?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8620288121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**3\/7 - 19535052*s**2\/7 + 15900721623270*s\/7 + 63603199054296\/7.\nAnswer: 6*(s - 1627923)**2*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 47. Suppose -c = -3*n - 0. Solve -g - 1 = -4*i, -2*i + g + 2 = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*k**3 + (1 - 1 + 2*k)*(-2*k**2 + k**2 + 3*k**2) + (-7*k**3 + 2*k**3 + 0*k**3)*(3 - 5 + 0) + (-2*k**2 - 17*k**2 - 3*k**2)*(1 - 2*k - 1 + 1).\nAnswer: 56*k**3 - 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 10:58 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let k(s) = 4*s + 187. Determine 3*c(z) + k(z).\nAnswer: z + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1344 - 1345. What is the closest to x in -3\/2, -17, -2\/21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, -2\/13, -0.4, 2\/657, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324.0085 + -290. Let i = u + -34. What is i rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w + 6, 3*d - 21 = 3*w. Let k(u) = 11*u + 125. Let x be k(-10). Suppose -d*m + 3*o - 11 - x = 0, o = -3*m - 10. Which is smaller: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -32.\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -6635 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -0.604234?\nAnswer: 10.604234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1*2 - 1. Let h = 8 - s. Let l = h - 2. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + h = 4*z - 8, 20 = 4*z - h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200097228?\nAnswer: 2, 3, 1721, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-140)\/(-75) + 18\/135. Solve -1 = y + 4*a - 4, 0 = 3*y + k*a + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4018 + -4018.05489. What is l rounded to three dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596620381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -11*t**7\/105 + 41*t**4\/24 + 10*t**2. Find the second derivative of g(k) wrt k.\nAnswer: -264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.5802187 + 15.58. Round s to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 3290431\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.814 years in months?\nAnswer: 7281.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600371 is divided by 66707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 8*s**2 + 4*s + 2. Calculate y(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -389*d**2 + 607*d - 607. What is y(1)?\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16. Let h(a) = a**3 + a - 6. Let n be h(0). Sort u, 1, n.\nAnswer: n, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6925 + -1.4925. What is the fifth smallest value in -0.6, p, 0.5, 12, 2\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -709.09 + 712. Let f = d - 0.91. Let p = 2261\/9 + -251. What is the smallest value in f, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 - 9*y - 6. Is o(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (90\/(-4))\/(7\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231140 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (848\/5936)\/(-6*6\/(-14616))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h + 3*h)*(-2 + 1 + 0)*(-4 + 4 - 2)*(-101*h - 235*h - h).\nAnswer: -1348*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 9:37 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 = -5*q, -c = 4*q - 12 - 4. Let h = -2 + c. Suppose -3*j + 5 = -h*j. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5895140 is divided by 3696?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1225 (base 6) to base 11\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 3. Let q(c) = 4*c + 2. Let d(k) = -4*q(k) - 5*s(k). Let y be d(3). Solve 4 = y*t + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -5 (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 7, -142, -419, -842?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.54 - -19.46. Which is greater: j or 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 2, g: 1}. What is prob of sequence ppr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 - 3*s. Let p be b(4). Suppose -30 = k - p*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 51*m**2 + 2*m + 4. Let b(r) = 52*r**2 + r + 4. Let u(f) = -3*a(f) + 4*b(f). Let d be u(2). Suppose -d = -22*q + 18*q. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171.9969 + 0.3031. Let z = 172 - t. Is -0.8 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/10*7\/(-56)*-20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050766 rounded to four decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381809.68 - 1033049?\nAnswer: -2414858.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p - 15. What is the hundreds digit of b(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5060, 20227, 45506, 80897, 126400, 182015, 247742?\nAnswer: 323581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4506189 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206216375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/24*278\/2919 and -59\/10024.\nAnswer: 90216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - 2) + (6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*n = -83 - 17, 2*n - 84 = -4*p. Let r = 34 + -47. Let d = p - r. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3074314, 6148758, 9223202, 12297646, 15372090?\nAnswer: 18446534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1696, -3637, -5578, -7519, -9460?\n\"Answer: -1941*c + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n + 4. Let u(q) = 15*q - 16. Let m be 8\/108 + (1192\/27)\/(-2) + 0. Determine m*t(w) - 6*u(w).\nAnswer: -2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7239.39 centuries to years.\nAnswer: 723939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 767118772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o + 60. Let p = 84 - 82. Suppose -4*s = p*w - 2 - 28, 0 = 4*s - 2*w - 10. Let u be c(s). Solve u = -4*z - z, -4*q + 4*z = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4801180 is divided by 300?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33469 + 7591. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 26. What is the least common multiple of 14 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 + h**2 + h + 299. Give o(0).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75765 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175332857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104 = 20*w + 644. Let l(y) be the first derivative of -w + 0*y + 1\/9*y**2 - 2\/27*y**3. Suppose l(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 31. Let q be 4\/(-10) - 404\/(-10). Let n = v + q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 2.00306\nAnswer: 10.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1183*i - 264477.\nAnswer: -1183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123131255?\nAnswer: 5, 13, 17, 111431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.2 (c) 1\/3 (d) -510 (e) -2 (f) -1 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (-4*sqrt(175))**2 - ((sqrt(7)*-4)**2 + -3 + sqrt(7)) - 6*(-2*sqrt(700) + 2)**2.\nAnswer: -19733 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*k - 6 = 0, 4 = -2*w - 2*k - 0*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2116, 7556, 16314, 28402, 43832?\nAnswer: 62616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*m + 1 = -4, 0 = 3*c + 3*m + 3. Let x = 3 - 2. Suppose 2*y + 0 = h + x, 5*y - h - 7 = 0. Solve -3*u + 17 - y = c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -341, -1419, -4359, -10097, -19569, -33711, -53459, -79749?\n\"Answer: -156*r**3 + 5*r**2 - r - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 + 4*t**2 + 50*t**5 + 4*t**5 + 42*t**2 wrt t?\nAnswer: 120*t**3 + 3240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/((sqrt(11)*1 + sqrt(11))*3 + sqrt(11) + sqrt(11) + sqrt(11))*-5)**2.\nAnswer: 275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 14. Let t(d) = 2. Let p be (-3 + 0)\/(39\/(-26)). Calculate p*f(c) + 14*t(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -10 - (1 + 2). Suppose -x*n + 23 = -2. Let a be ((-12)\/10)\/(n\/(-350)). Calculate the highest common divisor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007 = -4*m + 1015 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 66*g**2 + 134*g - 92. Determine x(-68).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2667262 and -0.0769183?\nAnswer: 2667261.9230817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1110386219 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((63\/(-2))\/7)\/((-2)\/8). Suppose z = 5*t - 815, -4*z + o = t - 166. Suppose 5*g + 721 = 4*j, g - 3*g + t = j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d**2 + 28*d. Let x(b) = 3*b + 2*b - 2*b**2 + 5*b**2. Let u(o) = 5*f(o) - 28*x(o). Let t(l) = -2*l**2 - 4*l**2 - l**2 + 8*l**2. What is t(u(w))?\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3457*x + 1076 + 274 = 3430*x for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103886 is divided by 1105.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t**(-25)*t*t)*t))*t*t**(-5\/11)*((t\/(t\/(t*(t**26\/t)\/t*t)*t*t*t))\/t*t)\/t**(-3\/17))**(-16\/9) assuming t is positive.\nAnswer: t**(-48592\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(4 - y - 4) - 277*y - 175*y - 10*y - 63*y.\nAnswer: -527*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 6*r - 7*r. Let c(b) = -5*b. Let n(v) = -4*v. Let t(s) = -5*c(s) + 7*n(s). Give l(t(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2675634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 - 82. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.84, 0.07, 0, 6, 17, -2\/7 in increasing order.\nAnswer: -0.84, -2\/7, 0, 0.07, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 313 = -293, g - 5*g + 3*h + 24 = -3*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 10*v - 19. Let z be q(6). Suppose z*k = 409 + 46. Suppose -3*a + k + 59 = 3*u, u + 2*a - 46 = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1611 by -179.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 27.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -53 + (-41 - -43)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + 112. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 365.7 + -365.77986. Let v = 0.08 - 0. Let u = f + v. Round u to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4 - 116704*f**3 + 412186*f**2?\nAnswer: 48*f - 700224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.133 + -1.133000577. What is p rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:16 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 2*p + 6. Let c be 4\/(-1 - (-1 - -2)). Let w be y(c). Let n be (-33)\/4*(-4)\/1. Calculate the greatest common divisor of n and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - x + 71. Let q(w) = 5*w**2 + w - 144. Let n(l) = 3*q(l) + 7*z(l). What is the thousands digit of n(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942311614 to the power of 1\/3, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.290321 micrograms in kilograms?\nAnswer: 0.000000005290321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -28910 and 2857759.\nAnswer: 2828849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466 and 220.\nAnswer: 51260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(17\/((-170)\/8)*30\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from xppjhhzjxgxh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, i: 2, t: 1, u: 4}. What is prob of picking 1 v and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 3*l**6\/40 - 3*l**2. Does 24 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:37 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (2*sqrt(76) - sqrt(76)))\/sqrt(4) + -1)*-3 + 6*1*sqrt(152)\/(sqrt(16)\/sqrt(2)))**2 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -57*j**2 - 82*j - 164. Let b be a(-2). Is -229 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 874, 1297, 1700, 2077, 2422?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y, 2*d - 26 = 2*y - y. Let f = 18 - d. Let g be 15\/63 - (-3)\/(-18). Which is the biggest value? (a) f (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/118311070 and -107\/70?\nAnswer: 828177490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.24 - 0.24. Let u = -7.003 + o. Let v = u - -0.00237. What is v rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 3*k**2 - k**4 + (-2 - 2 - 1)*(5*k**4 + 0*k**4 - 4*k**4) + (-5*k**3 + 2*k**3 - 3*k**3)*(0 + 0 + 2*k) + 3*k**3 + 5*k**4 - 3*k**3.\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -104 (b) -0.03 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 4. Let n be l(0). Suppose 0 = 5*w - 15, -8 = i - n*w + 2. Suppose -i*c = -3*c + 2. Which is bigger: 4\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6575929.1838 - -6574880. Let f = 1049 + u. What is f rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/7)*n**(2\/101))\/(n**(-7\/3)*n**3\/n) assuming n is positive.\nAnswer: n**(2264\/2121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37390.\nAnswer: 2, 5, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/24)\/(4\/(-288)). Let c = g - -55. Solve -5*u + 4 + c = -4*w, 5*w - 2*u = -19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14700, 14699, 14696, 14691, 14684, 14675, 14664?\n\"Answer: -n**2 + 2*n + 14699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 55032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 181*u - 358 = 0. What is u?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**4\/4 + y**3\/3 - y**2\/2 + 2*y - 3830. Suppose 6 = 4*d + 14. What is i(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 2. Let t be g(10). Let u be (-52)\/(-14) - 12\/(-42). Suppose u*o - t = 2*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 284*r**3*v + 7*r**2 + 233*r*v + 23330*v + 76 wrt r?\nAnswer: 852*r**2*v + 14*r + 233*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1055 divide 194271634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m**2 - 52*m**2 - 9*m**3 - 10 + 80*m**2.\nAnswer: -9*m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*u + 2452 - 2866, -3*u - 271 = -2*o. Solve 0 = 33*n + 209 - o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248745 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52349933509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -21\/8, 3 in decreasing order.\nAnswer: 5, 4, 3, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.96 - 5.99. Let w = 11.3 - 9.1. Let m = y + w. What is m rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*f - 3, 37*f - 36*f + 1 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -170882 >= -170873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(1914 - 1)*2. Let o = -38221\/10 + j. What is the common denominator of o and 19\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*t - 11 = -35*t - 30*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -6 - -3) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/(v*v**(3\/4)*v))\/(v**(-2)*v**(1\/2))*((v**(-1\/7)*v)\/(v*v*v*v**8))**(2\/21) assuming v is positive.\nAnswer: v**(-3067\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.19 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13318, 26976, 40648, 54340, 68058, 81808, 95596, 109428?\n\"Answer: l**3 + l**2 + 13648*l - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7525*h**2*k**2*l - 2*h**2*k*l**3 + h**2*k*l + 4*h**2*l**3 - h*k**2*l**3 - 2*h*l + 5*k*l**3 wrt k?\nAnswer: -15050*h**2*l - 2*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66411*u + 22451*u - 292922 + 292922 to d + h*u and give h.\nAnswer: -43960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 34*p**3 + 0*p**2 + 5*p**3 - 2*p**3.\nAnswer: -31*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96.17 - -205.7. Let a = 318 - 208. Let n = g - a. What is n rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 46\/20 + -1 + (-193 - -195). What is the nearest to -0.2 in -3, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*t + 330, 133 = 3*m + 5*t - 360. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 37.8. Let z be 19\/(-44) - 2\/(-8). What is the second biggest value in m, z, -0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c + 3. Let a(p) = -4*p**3 - 5*p**2 + 3*p - 45. Let f(r) = 4*r**3 + 6*r**2 - 6*r + 52. Let g(t) = 6*a(t) + 5*f(t). Give 2*g(o) + 7*j(o).\nAnswer: -o**3 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41699563.\nAnswer: 4091, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from ttbttbbtbb.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 - 10*w - 20. Let d be h(-8). Let u be (45\/(-18))\/(-2 + (-6)\/d). Solve 0 = -4*y + 2*m - 18, -2*y + u*y - 3*m + 21 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 890832 and 470072?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(((-30)\/8)\/5). List the prime factors of (y - -9)*((-14340)\/5)\/(-3).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + 28. Let r = f - -18. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 6. Let f(c) = -c + 4. Let p(z) = -3*f(z) + 2*u(z). Let h(b) = 3*b + 2*b - 3*b. Let o(y) = h(y) + p(y). Let k(w) = 9*w. Calculate k(o(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 52216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:24 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 - (-30)\/7. What is the second derivative of -2*b**2 - w*b + b + 3*b - 2*b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i. Suppose 3*m = 0, -2*h - 2*h + 52 = 4*m. Suppose -4*s + h = 1. Let d(t) = 0*t - s*t + t. Calculate v(d(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12561674, -12561695, -12561716, -12561737?\n\"Answer: -21*j - 12561653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.58587 and -0.105.\nAnswer: -0.06151635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3 - 3 - 2*n. Let l(j) = -j**2 + j**2 - 2*j**2 + j**2. Calculate l(u(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24211320 (base 8) in base 10?\nAnswer: -5313232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*v - 4*v + v)*(0 - 1 + 3)*(-1 + 6 - 1)*(-4 + 3 + 2) to k*v + r and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 0*c**2 - 4*c - 1 - c**2 - 4*c**2 to k*c + f + j*c**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -12 + (-3 - (-1 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298074 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.163 - 4.163. Let u be ((-57)\/(-9) + -7)\/(20\/45). Let y be 2*(1 + (-3)\/(-2)). What is the closest to a in -3, u, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4117767 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -22 + 16 - -6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c41a5 (base 13) to base 2.\nAnswer: 10011110000010100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 887.9 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -24.4. What is the third biggest value in k, -2\/7, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 244079 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108602521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 253 = -868. Let f = z + -120. Solve -5*w = -f - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 937*o**8\/56 - o**4\/12 - 657*o**2\/2 + 1553*o. Find the third derivative of u(y) wrt y.\nAnswer: 112440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -397, -336, -275, -214, -153?\n\"Answer: 61*i - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*v - 12 = 0, -z + 10*v + 3 = 7*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsgw when four letters picked without replacement from wwgkwwwswwggsgww?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/((-70)\/63))\/((-6)\/4). Let i(s) = -s**3 + 8*s**2 - 10*s - 9. Let n be i(g). Let a(k) = -k**2 + 3*k - 4. Give a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*y - 20, -11 = x - 5*y + 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**3 - i**3 - 118*i**3.\nAnswer: -143*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 14*n**2 + 13*n + 36. Let k be j(13). Suppose -32*x = -k*x - 32. Is 3 a factor of (1 - (-2)\/x)*(29 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5418*k**2 - 18 - k - 2*k - 149*k**4 - 5418*k**2 wrt k.\nAnswer: -1788*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*v - 43 = 0, -121 = -188*x + 183*x - v. Solve c = -3*d + 1, -4*d = -4*c - c + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.16 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 - 25 = 0. Let j(b) be the second derivative of b**4\/12 - 2*b**3\/3 + 9*b**2\/2 + 14*b. What is the remainder when j(-5) is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615 + 627 = -c + 2*o, -4*c + 2*o = 78 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*z - 876 = 1069, -z = -5*l + 3249. List the prime factors of l.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:05 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4514 + -23761?\nAnswer: -18246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Let n(q) = 5*q**3 - 5*q**2 + 11*q + 3. Let w(c) = -14*c**3 + 14*c**2 - 32*c - 9. Let s(i) = 17*n(i) + 6*w(i). Is s(f) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17254305 (base 8) to base 10.\nAnswer: 4020421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79756661?\nAnswer: 19, 73, 57503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1051 - -3344. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -578, 5, -350 in descending order.\nAnswer: 5, -350, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1019365001 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 + 5*h + 2. Let u be g(6). Let i(n) = -5*n - 4. Let p(o) = -4*o - 4. Let s(r) = -5*i(r) + 6*p(r). Let y be s(6). Sort y, 5, u.\nAnswer: u, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + i - 24 = 0, -5*i = s - 3 - 22. Suppose 6 = 3*t, 5*o + 0*t + s*t - 2290 = 0. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*-1*(-48)\/(-80) - 41?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)*w)**(-1\/28)*(w*w**(2\/3))\/(w**(-2)\/w))\/(w*w\/w**(-2\/7)*w\/w**(1\/2))**(11\/6) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -851 (b) -3 (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19539409.14629 - -19539628. Let q = -219.34371023 + f. Let x = q + 0.49. What is x rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272240789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 4*x + 133560 + 133799 = 0. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:27 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/4))**(4\/17))**(-15) assuming u is positive.\nAnswer: u**(-75\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104613238 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*143\/44 + -8. Let h = -48 - -39. Let f = h - -8.6. Which is the biggest value? (a) j (b) f (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1\/1 + (-4032)\/(-72). Is 53 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40605300 and 10206?\nAnswer: 284237100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 3. Let u be d(4). Let t = u + 15. Solve -t = -h, -2*m - m + 10 = 4*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7))\/j**(-1\/3))**50 assuming j is positive.\nAnswer: j**(-850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**6 + 18*o**4 - 51*o**2 - 3*o?\nAnswer: -480*o**3 + 432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 29*q + 56. Let u(m) = -7*m - 15. Let h(o) = 4*g(o) + 15*u(o). Let w(p) = -3*p**2. Calculate h(w(d)).\nAnswer: -33*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 - 245. Solve 0 = -j*f + 2*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxbg when four letters picked without replacement from {g: 2, b: 1, x: 3, o: 3, j: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) -21 (c) -4 (d) -7.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 1605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/12) + 0 + -68795. Let w = -127166 - y. Let s = w - -350368. What is s rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 243, 4, -220 in descending order.\nAnswer: 243, 4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*n**2*x - 3*n**2 - 6887*n*x - 3650169*n + 70*x wrt x?\nAnswer: -8*n**2 - 6887*n + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b + 2*y - 2 = 0, 4*y = -b - 23. Let v be (3\/4)\/(b\/600). Calculate the remainder when 97 is divided by (6\/(-9))\/(4\/v).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5499792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-2457)*-9 - 82\/(-420)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -1.03. Let y = p + 2. Let z(q) = -q - 12. Let d be z(-8). Which is the closest to -1? (a) d (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 10. Let z be a(6). Let t = z - 2. Solve -2*f + 24 = i + 4*i, t*i - 18 = -5*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b*c**2*s**2 - 48*b*c**2 - b*c*s**2 - 4*b*c*s + b*s**2 + 54*b*s wrt c.\nAnswer: -38*b*s**2 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -17263.\nAnswer: -34526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 2*r - 5. Let h(p) = 11*p**2 + 4*p + 11. Let w(t) = -4*h(t) - 9*q(t). Let y(f) = 2*f**2 + 5*f + 2. Determine 9*w(i) - 4*y(i).\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 50, 81, 112, 143, 174?\n\"Answer: 31*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-55)*(-1)\/156. Let a(g) be the third derivative of -1\/195*g**5 + 2\/39*g**3 - 7*g**2 + 0 + m*g**6 + 0*g - 1\/156*g**4. Factor a(q).\nAnswer: 2*(q - 2)*(q - 1)*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3 + 12. Solve -4*v - v = i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -16.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 29*g**2 - 111*g + 2609. What is b(30)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-576)\/(9\/(-3)) - -2. Let v = -109 + k. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -26. Let g = -15 - q. Suppose x = -g*x. Solve 2*j - j + 5 = x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 409 and -8661738.\nAnswer: -8661329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, 1 c, and 1 e when four letters picked without replacement from {i: 1, q: 6, e: 3, u: 6, c: 2, g: 2}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdxxxxdxxxxxx. What is prob of picking 1 d and 1 x?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g + 33. What are the prime factors of i(0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-6))\/((-50)\/675). Let i be 16\/14*j\/(-36). Find the second derivative of -3*m - 51*m**i + 17*m + 32*m**4 wrt m.\nAnswer: -228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13299*m + 20. Let c be z(14). Let a be c\/126 - (-2)\/7. Let t = 1481 + a. Find the common denominator of t and -67\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1035, 1037, 1039, 1041, 1043, 1045?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/14 + -11 + (-66)\/(-6). What is the third biggest value in -0.4, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3182970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -4, -10, -1\/12932?\nAnswer: -1\/12932","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/5 (b) -0.2 (c) -1.4477 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.2. Let t be 7*(190\/35 - 5). Suppose -5*g = h + 25, -4 = -g - t*h - 9. What is the nearest to v in 2, g, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1083 and -591.\nAnswer: -640053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 212104 (base 5) to base 2\nAnswer: 1101111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 793*b**2 + 4693*b + 16478416.\nAnswer: 1586*b + 4693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10290663 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Let b(i) = -i + 3. Let c = 20 + -23. Let n = -2 - c. Let h be 30\/(-20) + n\/2. Calculate h*b(a) + 2*d(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 953*c*q**3 - 26*c*q + 12*q**3 + 6*q**2 - 6*q wrt c.\nAnswer: 953*q**3 - 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let g be 49\/8 + (-8)\/64. Suppose 5*z - 21 = -g. Calculate t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5*q + 27 + 4*q)*(66 - 66 - 7*q).\nAnswer: 7*q**2 - 210*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 124\/5. Which is the biggest value? (a) r (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 73 + 61 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*k + 2264*p + 265 = 2249*p, 0 = -3*k - 2*p - 4*p - 102 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 3*p - 3*p + (-3*p + 1 - 1)*(0 - 4 + 3))*(2 - 1 + 1).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:20 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645543.\nAnswer: 1645543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqb when four letters picked without replacement from {b: 2, q: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*h**2 + 0*h.\nAnswer: -2*h**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 148*p**2 + 275*p + 79. Is s(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 42*p - 47*p. Let y(h) = -15 + 7 + p - h. Let s be y(-3). Solve 5*z + c + 3 = s, z - 4*c = 3*z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*i = 10, -398*i - 18 = 2*c - 401*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {f: 8, x: 2, o: 2}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.45845 * -4\nAnswer: -29.8338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 3*x = -1934, 3*h + x = 1162. Suppose -3*t + h = -0*z - 5*z, -5*t + 620 = -3*z. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*g + 3*g - 35, 2*g + 34 = -2*d. Sort 3, 1, d in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w. Suppose -4*s + 364 - 100 = w. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270 times 14\nAnswer: 3780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 21*j**2 - j - 8. Let s be k(-7). Suppose -20*c - s = -25*c. What is the remainder when c is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-781)\/(-44) + -27)*(5 - 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 19 = -r + 3*r, 5*r = 2*k + 16. Let b = 5 - k. Solve -m - 8 = -v, b*m - 4 = -5*v + 4*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (117\/42)\/((-56)\/(-49)) and -11\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 22. Let f = 9 + -12. Let b(d) = d**3 + 4*d**2 + 4*d + 4. Let u be b(f). Is s bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from wgycaydcg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53\/2 - -27. Let m be 4\/(-10) + (-22)\/(-5). Sort m, -2\/19, w.\nAnswer: -2\/19, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4\/5, -0.201, -0.1?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -533 by 3742.\nAnswer: -533\/3742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)*y*y**14)\/(y**5*y*y*(((y\/(y**(-1)\/y*y))\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/69)\/(30\/45). Which is the biggest value? (a) y (b) 3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 40. Let l be d(-9). Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*35 + 0\/7. Let b = z - 25. Let v be (b\/4)\/(4\/8). Solve -3*l + v*f + 0*f = 1, 2*l - 3*f = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 14075, 2, -5, -1 in descending order.\nAnswer: 14075, 3, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -388556\/9 + 43173. Let y be (-2)\/(-6)*1*6. Which is the fourth biggest value? (a) -2 (b) y (c) o (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49789?\nAnswer: 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -697.08 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14601*g**4 + 3091 + 715 + 4718 wrt g.\nAnswer: -58404*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*z - 18, -20 = -4*d + 3*z - 0*z. Let n(p) = p - 4. Let i be n(d). Let c(b) = -b**2 - 2*b - 3. Calculate c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.308 times 30.97\nAnswer: 9.53876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5214 divided by 4519\nAnswer: 5214\/4519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/9, -2\/9, 2\/15, -2\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 greater than -0.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/4 and 87\/1652.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 29 = -5*t, -4*t - 21 = -2*z + 19. Solve 4*r + b = z, -3*b = -7*b - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428167 is divided by 428150.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -29*d**3 + 5*d**2 + 30*d + 2. Let u be j(-4). Suppose -6*h + 6378 = u. What are the prime factors of h?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -84, -188, -334, -522?\n\"Answer: -21*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*r**2 - 1 - 1 - 280*r**2 + 912*r**2 - 1.\nAnswer: 968*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -2*n - 4*v, v - 27 = -5*n. Solve -n*b + 3*z + z - 12 = 0, 12 = -4*b + 4*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z + 2. Let f be d(-7). Suppose -8*a + f = -4*a. Solve -4*q - 5*i = a, 7*i + 28 = 3*q + 3*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l + 8. Suppose m - 3*m = y - 15, m - y - 6 = 0. Let w be k(m). Let x = 64 + w. Solve x + 2 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 32, -3\/13 in decreasing order.\nAnswer: 32, -2\/15, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 186220686 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3643 (base 8) in base 10?\nAnswer: -1955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50808523 divided by -4?\nAnswer: -50808523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11305 and 1105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttkwtjwwkdddtttxjt. What is prob of picking 1 w, 1 t, and 1 j?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.4 - 80. Put o, -0.2, 1, 3 in descending order.\nAnswer: 3, 1, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -66, -115, -182, -273?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 12612464\nAnswer: 12612464.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5100, 5035, 4962, 4887, 4816, 4755?\n\"Answer: l**3 - 10*l**2 - 42*l + 5151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5506 + 622 = -5*p, 2*p = -4*g + 1944. Is 49 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-36)\/63 + 1226\/14 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -16*u + 19*u + 5*u**3 - 5*u**2 + 2*u**2 - 5*u**2 = 0.\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 25 = -24. Let p be 24\/(-30)*(b + 4). Let q be (-6)\/p*10\/15. What is the highest common divisor of q and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -766\/9. Sort -3, f, 3, 0.3.\nAnswer: -3, f, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1517 + 1 + -3)\/(153\/102). What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 8*t + 6. Suppose 13 = p - 1. Calculate the lowest common multiple of p and s(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3944.405 kilograms to nanograms.\nAnswer: 3944405000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 c when four letters picked without replacement from gwgwcggewwgcg?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1797833\/5 + -358411. Which is smaller: r or 1156?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23602852 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 343 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 - (-10 + 11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001208159 to 6 dps.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/44 and 61\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 23*y + 1. Let i(m) = -14*m - 1. Determine -7*i(j) - 4*r(j).\nAnswer: 6*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-29*y + 13*y - 11*y)*(-3 - 4 + 10).\nAnswer: 81*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -177*y**2 - 2*y**3 + 84*y**2 + 3*y**3 - 1 + 92*y**2. Let s(b) = -3*b**3 - 2*b**2 + 2. Calculate 4*r(w) + 2*s(w).\nAnswer: -2*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105461 divided by -1.\nAnswer: -105461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (sqrt(243)*2 + -3 - sqrt(243)) - 4*(sqrt(243) + 0))**2 - (3*sqrt(243) + -2)**2*5) + 2.\nAnswer: -9972 + 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 78*o**2 + 2*o - 2. Let p be h(1). What is the highest common factor of 117 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*k + 60*k + 40 = 0. Let h = k - -39. Solve -q = -3*n + h, -4*n = -2*q - 0*q - 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1083009)\/(-30) - 96\/320. What is m rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 67*u - 34. Let c be z(-14). Solve -3*b = 5*w - 2*b - c, -5*w + 20 = 5*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14947962041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 116515563 divided by 2841843?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-460)*-160*1*5\/(-5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 1:57 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220288 and 98578880?\nAnswer: 197157760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6816 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.6 - 32.7. Which is the third smallest value? (a) u (b) 44 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 1, v: 2, k: 4, r: 2, o: 1}. Give prob of sequence kkoz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -7\/76, 19, 0, -24, 0.3, 3\/2?\nAnswer: -7\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -417, -1696, -3827, -6810, -10645, -15332, -20871?\n\"Answer: -426*t**2 - t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8724 (base 9) in base 11?\nAnswer: -4908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49765274 and 49.7.\nAnswer: 49765323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 39*o**2 - 19*o - 4. Give i(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (834\/10 + 4\/(-2))\/((-5)\/(-25)). Calculate the highest common divisor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Suppose 3*u = t*j + 283, -2*u + 2*j = 3*j - 198. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18788)\/(-1586) + 0 + 6\/39. Suppose 0*g + 2*g + 16 = 0. Let y = 17 + g. Calculate the greatest common divisor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**3 + 7*t**2 + 161. Let y(c) = 5*c**3 + 4*c**2 + 81. Determine -4*m(w) + 7*y(w).\nAnswer: -w**3 - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -2cd9c?\nAnswer: -2cd97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + 2*m - 1. Let d be w(1). Let o be (-1 + d)*8\/(-12). Solve 0 = -5*i - o*j - 18, 4*j = i - j - 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 17*a**2 + 12*a - 3. Let u be 2 + (-26)\/10 + 72\/(-5). Is q(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15187 + -501106\/33. Find the common denominator of 34\/81 and b.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201480516 divided by 116.\nAnswer: 1736901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose 0 = -0*o + 5*o + 5, -5*x - b*o = -6. Suppose -672 = 21*m - 60*m - 129*m. Solve -x*s - m*g = -s, 0 = 2*s - 4*g - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18074 * -5\nAnswer: -90370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**3 + 9*o + 4*o**3 - 4*o**3 wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4074884 (base 9) to base 6.\nAnswer: 114342551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5\/3 + 19*u**4 - 433*u**3\/3 + 189*u**2 + 171*u - 180 = 0.\nAnswer: -20, -1, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101501 and 3552535.\nAnswer: 3552535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*(i\/(i**(-9)\/i))\/i)\/i)\/i**(-2\/39))\/(i**(-1\/13)*i\/(i*i**(-4))))**(-10\/3) assuming i is positive.\nAnswer: i**(-2390\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/660 and 59\/147018?\nAnswer: 16171980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-49) - (-321)\/7. Let q(t) = t**2 + 0*t + 6*t + 43 - i. Determine q(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bb + 0?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(96))\/(1*sqrt(84)\/sqrt(7)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 2, -0.24 in descending order.\nAnswer: 2, -0.24, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31837?\nAnswer: 13, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 15*k + 2. Let b(m) = m**3 - m**2 - 30*m + 3. What is 3*b(j) - 5*w(j)?\nAnswer: 3*j**3 + 2*j**2 - 15*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1266983 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 29. Let f(m) = 7*m - 4. Let i be f(3). Let k = i - 12. Solve -u - q + 0*q = w, 0 = q - k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7455802 and 3070.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*(-2*b + b + 2*b) + (2*b + 2*b - 2*b)*(-7*b + 3*b + 6*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197, 408, 641, 908, 1221, 1592, 2033?\n\"Answer: 2*a**3 - a**2 + 200*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63, -0.4, 149313?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -20.6. Let q = z + 18. Round q to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:17 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*f + 25, 2*n - n - 7 = -3*f. Let o(m) = -2*m + 3*m + 2*m**3 + 4 - n. Give o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**3 + 0*h - 1\/24*h**4 + 0 + 64*h**2. Calculate m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j**2 - 167*j - 1019. Let m(q) = 6*q**2 + 67*q + 510. What is -5*m(i) - 2*n(i)?\nAnswer: -4*i**2 - i - 512","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 - 2*r - 2. Let z be h(-3). Suppose -2*b + z = -10. Let t = 184729 + -738891\/4. Are t and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 0.03. Suppose -5*t - 2226 + 2261 = 0. What is the nearest to r in -0.1, 4, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*94\/(-6110))\/((-15)\/(-25)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 25*h - 152. Let p be j(8). What is the highest common divisor of p and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*j - 933 - 10026 = 10245 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2608 + 6512. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 402 and -39331.\nAnswer: -15811062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 161, -11, -6, 6, 2 in increasing order.\nAnswer: -11, -6, 1, 2, 4, 6, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(616)\/((sqrt(66)*-1)\/sqrt(6)))\/(6*sqrt(200) + 2*(sqrt(8) + sqrt(200))).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s - 4*s - 2*s)*(43 - 19 + 52 + (0 + 1 - 3)*(-2 + 0 + 3))*(0 + 1 + 0) to the form w*s + x and give w.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 73675854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9434*-0.5\nAnswer: -4717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -14, -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -43*q**3 + 2*q**2 - 3*q - 12. Let t be b(-2). Is 345 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*9212379\nAnswer: 1842475.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.6423 - 108.5203. Let d = -0.122 + c. Let f = -86 - d. Do f and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10149*v - 521029 = 1958*v + 859169 for v.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118775160 divided by 18.\nAnswer: -6598620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 318853*w**4 - 44860?\nAnswer: 1275412*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -0*s + 3*s. Let l = s - -136. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)*h\/((h*h**(-3\/4))\/h)*h*h\/h**(-6\/5)*h*h\/(h\/(h\/h**(2\/7))) assuming h is positive.\nAnswer: h**(513\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/4, 3, 249\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*q - 11, 4*p - 8*q = -3*q + 2. Let x be 1*1\/(-2)*0. Let g = p - x. Solve z - 2 = -g*t, 0 = -t - 3*t + 4*z + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -2532?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*y - 26 = 0, -6027*n - 2*y = -6030*n + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*t + 1183*t + 1514*t - 241*t + 413*t.\nAnswer: 2520*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*d = 35, 0*t - t = -3*d - 7. Let n = 25 - 14. Let i = n - 0. What is the least common multiple of i and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:55 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crw when three letters picked without replacement from wcrcrrrrcwcrcr.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (116 - 123 - (-5 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347268 is divided by 664?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45425, -45351, -45277?\nAnswer: -45203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7389931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 38*u**2 + 2*u + 3. Let y be f(-1). Suppose -n + 57 = -q - y, 3*q + 189 = 2*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:14 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-12)*(-120)\/16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 2*l - 1. Let t be i(-3). Let c = 254\/3 + -84. Factor c*a - 2\/3*a**t - 2\/3*a**3 + 2\/3.\nAnswer: -2*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 17*k + 6. Let m be w(16). Let i = 10 + m. Suppose i*g - 2*g = t - 57, 3*g = 15. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -29 (c) 2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 + 7*h - 1. Determine i(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*l**2 - 122*l**2 + 295*l**2 - 80*l**2 + 44*l**2 + 303*l**2.\nAnswer: 703*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62677.47 meters to kilometers.\nAnswer: 62.67747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 18*u - 59. Give x(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**7\/840 + x**4\/12 + 2*x. Let l(j) be the third derivative of c(j). Let q(t) = 3*t**2. Determine q(l(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 355403239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 128, 275, 490, 779, 1148?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z - z + 3*z**2 + z**2 - z**3 - 4. Let r be o(3). Factor -1\/2 + 5\/4*b + 1\/4*b**3 - b**r.\nAnswer: (b - 2)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35)*-5 - ((sqrt(4235) - sqrt(4235)*2) + sqrt(35)))\/(-5*sqrt(720)*-2).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 133 = -4*d, -4*d + b + 92 + 51 = 0. Let x = -21 + d. Suppose -3*c + 560 = 2*c. Calculate the greatest common factor of x and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u + 5. Let m = -6 + 12. Let a be y(m). Let r be 4 + 1 + a + -13. Solve r*o = 8*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 62 (c) -46 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 233*i**2 + 1852*i - 267172. Determine u(230).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -123, -145, -167, -189, -211, -233?\n\"Answer: -22*y - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46215 <= 46212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {q: 5, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1310234614 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4122 = 10*l + 3732. What is the greatest common divisor of 1911 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/51 or 53432?\nAnswer: -38\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.452 - 0.337. Let f = 0.115 - w. Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 1\/2*l**2 - 24 - 2\/3*l**3 + 3*l. What is n(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12072878033.6 take away 0.1?\nAnswer: 12072878033.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l - 17*l - 3*l + 6*l - 126 + 2741*l**2 wrt l?\nAnswer: 5482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 5\/4, 0.5, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7620.84 - 0.0719.\nAnswer: -7620.9119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2426*g - 8 = 4*i - 2418*g, 3*g + 7 = -5*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 - -146. Let o = -67 - c. Let x = -199\/35 - -27\/5. What is the nearest to 1\/3 in o, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssts when four letters picked without replacement from {p: 7, s: 4, c: 1, t: 2, h: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20097 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 490*n = -493*n - 383, 0 = 2*u + 4*n - 122. Suppose -5*d + 15 = 0, 3*d = -4*w + 67 + 246. Let j = w - u. Solve -j*t = t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 5\/3)*6. Suppose -2 + 6 = -j*z + 3*r, -2*z = 2*r - 16. Suppose 3*t = -3*m, -21 = -5*t - 2*m + z*m. Solve t*l - 9 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1050 divided by -21\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3634546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:20 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/30 + 8*w**3\/15 - 4*w**2 - 86*w. Solve g(j) = 0 for j.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58031843, 116063685, 174095527, 232127369, 290159211?\n\"Answer: 58031842*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6739499 or -1?\nAnswer: -1\/6739499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9884 and 1918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 1. Let o be w(0). Let t = -211\/5 + 42. Which is the third biggest value? (a) t (b) -33 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**2 - 21*l - 21. Let x(y) = -y**2 + 2*y + 2. Let h(i) = 2*o(i) + 21*x(i). Let n(w) = -3*w**2. Determine h(n(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 + 11*n - 6. Give z(8).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.7. Let u = 0.1 - -0.1. What is the second biggest value in 2\/7, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 17102?\nAnswer: 17086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, 1, 2 in decreasing order.\nAnswer: 15, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (19 - (12 - 6))) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(180)*-1*-2)\/sqrt(6))\/(sqrt(96) - (sqrt(96) + 2*sqrt(96)*-2)).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-35))\/((-80)\/(-56)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1734*n**3 + 6*n**2 + 10*n + 1489. Let k(j) = -866*j**3 - 4*j**2 - 6*j - 744. Let z(o) = 3*c(o) + 5*k(o). What is the derivative of z(q) wrt q?\nAnswer: 2616*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 - -228. Determine n so that 1\/6*n**3 + 0 + 0*n**2 + 1\/3*n**4 + a*n + 1\/6*n**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - 4\/(-3). Suppose 0 = 3*m - 5*q - 57, n*m = -3*q + q + 22. Suppose -64 = -z + 48. Calculate the greatest common divisor of m and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 11148 = 2*d - 3624, -2*z = 2*d - 14796. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/3 + 3 - (-139 - 11). Find the third derivative of -c*h**3 + 2*h - 48*h**5 + 149*h**3 + 55*h**2 wrt h.\nAnswer: -2880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + -2.49. Let c = 6 + -23\/4. Sort c, b, 2\/11 in decreasing order.\nAnswer: c, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m + 44. Let i be a(6). Solve -r - i = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332436 divided by -230.\nAnswer: 166218\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 65 = -5*m - 40, -2*x - 20 = -5*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/10 + 58*n**3\/15 + 28*n**2\/5 - 554. Suppose o(a) = 0. Calculate a.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/4, -0.43, 1\/3, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -17. Suppose 8*i - 27*i + 76 = 0. What is the closest to -0.1 in y, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 211, 445, 783, 1225, 1771, 2421?\n\"Answer: 52*x**2 - 26*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 807616859*f**3 - 1101303844 wrt f.\nAnswer: 2422850577*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-804)\/(-156) - 4\/26. Let j = 0 - 0. What is the nearest to 1 in j, -2, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6985519 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: Simplify (y**(-9)*y*y)**(2\/25)*(y**(-10)*y)**(-4) assuming y is positive.\nAnswer: y**(886\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.953088t?\nAnswer: 953.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7563*d - 60491. Calculate m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 12*m, 0 = 5*c - 10*m + 7*m - 24. Solve -3*y + 3*l = -12, -2*y - 33*l + 28*l - c = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(605) + -3 + 5 + 4)*6 + 4)**2.\nAnswer: 6072*sqrt(5) + 23896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391691 a multiple of 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 347\/4 - ((-1)\/(-21) - 24850\/83496)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10 - 2\/(-20)*32. Suppose k*p - 80 + 2 = -3*f, 3*f + 162 = 5*p. What is the lowest common multiple of 100 and p?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 672*m + 1. Let x be j(0). Which is bigger: -136\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 3448*o\/7 + 984\/7 = 0.\nAnswer: 2\/7, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144874851 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1, f: 1, i: 7, h: 1, o: 2}. What is prob of sequence pf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*d + 294 = 0, -5*i = -d - 288 - 202. Find the second derivative of -i - 2*p - 84*p**2 + 27*p**2 + 26*p**2 wrt p.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.152778 millennia?\nAnswer: 51.52778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/8)\/((255\/(-34))\/(-15))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*r**3 + 6*l**2*r + 5*l**2*t + 10*l*r**3*t + l*r*t + l*t + 3*r*t wrt l.\nAnswer: -4*r**3 + 12*r + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:32 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67885093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 349*y**4 + 318*y**4 - 795*y**2 + 2*y - 668*y**4 - 1003*y**2 to g + f*y**3 + m*y + a*y**4 + i*y**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 32*i**2 + 12. Let o(f) = 5*f**2 - 4*f**2 + 11*f**2 - f**2 + 2*f**2 + 5. Let a(p) = 12*o(p) - 5*x(p). Let z(l) = 13*l - 1. What is a(z(r))?\nAnswer: -676*r**2 + 104*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 5) in base 14?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.035 and -23.6.\nAnswer: -21.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2917000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - a + 195 = 0, 4*a = -5*w - 32 + 357. What is the remainder when w is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(833)).\nAnswer: -7*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 = 24. Let x = 157 + -63. Suppose 3*y = -4 + x. What is the remainder when y is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267753 * -5.3.\nAnswer: 1419090.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 939894, 938350, 936806, 935262?\n\"Answer: -1544*v + 941438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159769 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3213411*r**2 + 3213409*r**2 + 14 - 14.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/3 + 40*p**4 - 900*p**3 + 9000*p**2 - 33750*p = 0. Calculate p.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -259 and -558675515?\nAnswer: 558675256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5113 + 61?\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 13*w + 7. Let l(z) = -3*z**2 + 11*z - 6. Let k(x) = 5*a(x) + 6*l(x). Suppose 0 = -0*b - 2*b + 2. Determine k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**8\/13440 - r**7\/5040 - r**6\/1440 + r**5\/240 + r**4\/6 - 2*r**2. Let v(f) be the second derivative of i(f). Factor v(k).\nAnswer: (k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3684*y**2 - 3684*y**2 - 12*y**3 - 10*y.\nAnswer: -12*y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/3, 1\/7, 0, 10.\nAnswer: -2, -2\/3, 0, 1\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1296 + 1296.002286. What is t rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-1) - 4074\/(-126)*(-61)\/(-246) and -22\/75.\nAnswer: 18450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 13*j + j**3 - 36 + 24 - 14*j**2. Let a be ((-16)\/6)\/(3\/(-9)). What is the tens digit of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896631.\nAnswer: 2896631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*t + 148*t - 1095120 = 0. What is t rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Which is the nearest to q? (a) 0.5 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21322003100 (base 4) to base 7.\nAnswer: -31034432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sps when three letters picked without replacement from psmsmmmmspmzppz.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*(-42 - 2). Let x = y - 32. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5056260 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 331618717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5856 divided by 8\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*v - 77*v - 3500. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 6*r**2 + 2*r**2)*(4*r - r - 4*r)*(3 + 0 + 1).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 63 = 8*l. Let b be (-1242)\/(-1840) + (1 - l\/(-8)). Factor -6\/5*z - 6\/5*z**3 - b + 16\/5*z**2.\nAnswer: -2*(z - 2)*(z - 1)*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1910, -5640, -9370, -13100, -16830?\n\"Answer: -3730*v + 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 18342*g**3 - 110148*g - g**4 + 9176*g**3 + 9434*g**3 + 17134*g**2 + 168921.\nAnswer: (g - 3)**2*(g + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2 - 14. Suppose 0 = -s*n + 8 - 0. Sort -2, -5, n in ascending order.\nAnswer: -5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4 + 2*h**2 - 10 - 1 - 4*h**2 - 1 + 11*h. Let f be (-2)\/4 + (-18)\/(-4). What is the smallest common multiple of r(f) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -54.62. Let m = 0.12 + t. Sort -4, 4, m in descending order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f*r**3 - 6*f*r**2 - 133835*f*r + 249*f - 1552615*r**3 + 1 wrt r.\nAnswer: 30*f*r - 12*f - 9315690*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 779349490 and 1345.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 5. Let m be q(-5). Let f(z) be the third derivative of 3*z**2 + 1\/12*z**6 + 0*z**3 - 1\/6*z**4 + m*z + 7\/30*z**5 - 4\/105*z**7 + 0. Factor f(r).\nAnswer: -2*r*(r - 2)*(r + 1)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888 + 4121*c - 450 - 4123*c.\nAnswer: -2*c + 438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q**4\/2 + q**2\/2 - 7. Find the second derivative of t(h) wrt h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16492604 at most as big as 16492564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -9*g**4\/4 - 108741*g**3\/4 - 579184*g**2 - 3087616*g = 0.\nAnswer: -12061, -32\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -814\/13 (b) 2\/13 (c) 609\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -485\/2 + 240. Let x be 1*-1 - (-24)\/32. Which is the closest to x? (a) j (b) 13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacaaaacccqzaaccc. What is prob of sequence qza?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 76 - 6*t**3 + 5*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 1. Let g be s(1). Let v be (-3)\/3 + 0\/g. List the prime factors of (-6)\/v + (4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 8360 = 27*b - 436*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 28*u - 80. Give w(13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:05 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32784, 37046, 41306, 45564?\n\"Answer: -p**2 + 4265*p + 28520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-17)\/((-34)\/(-6)). Sort h, 2, 3, 0.\nAnswer: h, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, 0, 5, 3 in descending order.\nAnswer: 191, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*s - 12472 = 0, -4*p + 6274 = -2*s - 6192. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3619616 is divided by 116746?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 91 + 10 + -1 + -5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4, 15*b - r + 5 = 19*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ligllgggi. Give prob of picking 1 l and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 17. Suppose -w = -2*a + 3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, -18, 1\/4, 3 in ascending order.\nAnswer: -18, -1, 1\/4, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g + 2*g + 14*g + 351 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48626 (base 16) to base 14.\nAnswer: 7a098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 - 60*a**4 + 291*a**3 - 138*a**2 - 1344*a + 1248 = 0. What is a?\nAnswer: -2, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63674*a**3*g**3*s**2 + 249*a**2*g**2*s**2 + a*g*s + 4*g**3*s + 5*g**2*s**2 wrt a?\nAnswer: -382044*g**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*u - 196 = 0, 3*u - 593 = 2*z - 451 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1, -13708, 8, -9 in ascending order.\nAnswer: -13708, -9, -4, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/39 and -109\/9274772.\nAnswer: 27824316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t - 4*j + 26, -j = -5. Let q be 1\/(27\/t) + (-28)\/(-198). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/20 - w**4\/12 + 9*w**2\/2 - 2*w. Let n be 1*(-1)\/(-2)*0. Calculate the lowest common multiple of 11 and z(n).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (16 + -7)) + (-122)\/26.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357\/(-9333)*((-78)\/(-13))\/((-14)\/2).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8048*n*x**3 + 4*n*x**2 - 2*n*x + 2*x**4 - 242*x**3 - 29636*x**2 wrt x.\nAnswer: -48288*n + 48*x - 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - 9.1. Let w = -10.9 - t. Is w not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/3 - -2844) + 8\/(48\/(-30))?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1029.8 and -1.9.\nAnswer: 1027.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brrtrtbtbbbbrtnt. What is prob of picking 3 r and 1 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418a (base 16) to base 4.\nAnswer: 10012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 100. Let l = g + 40. Let s = l + 2.1. Which is the biggest value? (a) -0.5 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:39 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152611 - 76766 - r - 75845.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - 2) - (0 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 10*v**2 - v + 5. Let z be w(5). Differentiate -5 - 1 + 36*a**4 + 0 + z*a**4 with respect to a.\nAnswer: 144*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 = h, 4*k - 3*h = 41042. Calculate the remainder when k is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3869 (base 13) to base 2\nAnswer: 1111101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)*q*q**(5\/6)*q)\/(q\/(q*q**1)*q)**(-1\/57))\/((q\/(q*q\/(q*q\/q**(2\/3))))**(-9)*q*q*q\/q**5*q*q\/(q*q*q**(-2))*q) assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 - (-8 + 5). Suppose 2*k = -4*l + z, -3 = 4*k + 1. Suppose -4*d = 3*s + l - 9, s + 2*d = 0. Solve -q + 0*q - s = -v, 4*q = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-24))\/((3\/2)\/(-1)). Let p be 1*(0 - d)*1. Let z(c) = 1 - 4*c - 4*c**2 - c**2 + 3*c. What is z(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2381303, -2381302, -2381301, -2381300, -2381299, -2381298?\nAnswer: -2381297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m. Let i be (-4)\/(-10) + 8\/5. Let o(p) = -19*p + p**i + 19*p. What is k(o(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 403 = -35*q - 138 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3 - 84*b**2 + 1561*b - 3900 = 0.\nAnswer: -100, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haf when three letters picked without replacement from ffffhhfahhf?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 5190*n**2 + 4975*n - 217770.\nAnswer: 5*(n - 6)*(n + 7)*(n + 1037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203547581?\nAnswer: 31, 59, 109, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 460402259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + -2*sqrt(3240))\/(sqrt(8) + (-3*sqrt(48))\/sqrt(6) - sqrt(8)).\nAnswer: 17*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o + 2. Let y be s(7). Let w be 1\/(2\/(-6)) - y. Let n be (3\/2)\/((-6)\/w). Calculate the greatest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/2 + (-1)\/2. Let b be (-40)\/(-18) + l\/(-36). Factor 24\/5*w + 2\/5*w**3 + 16\/5 + 12\/5*w**b.\nAnswer: 2*(w + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524394219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 32 - 33 - 4*f**2 + 219*f**3 - 32*f**3.\nAnswer: 187*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by (1 + 0)*(-1 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*1*sqrt(7) + -4).\nAnswer: -16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*z + 3900 - 3900)*(0*z + 2*z + z)*(4*z - 7*z + z).\nAnswer: 492*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*s + 628*s = 43560. What is the greatest common divisor of s and 16440?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6533701 is divided by 5057.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 247\/2. Put 4, 2\/13, v in ascending order.\nAnswer: v, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 p when four letters picked without replacement from kmmmkkkmpuummmuuuk.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 8. Suppose -3*z = -u + 22, v*u - 5*z = -0*z + 53. Suppose -117 = -3*n - 4*x, n - 2*x + u*x = 28. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 235 = l + 466, 2*l + 2106 = 3*b. What is the highest common divisor of b and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 16\/(-168). Which is the nearest to h? (a) -0.5 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6208292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*x - 7*x - 295, -b + 5*x + 95 = 0. What is the greatest common factor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -28. Let b(a) be the third derivative of 0*a - 1\/30*a**5 - 1\/180*a**d - a**2 + 0*a**3 + 0 - 1\/18*a**4. Let b(r) = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409932207.\nAnswer: 3, 45548023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ncnnlccwylcclncw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:20 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-10)\/(-700))\/((-3)\/(-5)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140331 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 12*d**2 - 17*d - 44. Suppose 6 = t + 2. Let y(i) = i + 2. What is the least common multiple of m(-13) and y(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*d - 485564813 + 485564813.\nAnswer: 279*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_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: In base 13, what is 9 + 2cc1?\nAnswer: 2cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142106431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g**5\/5 - 386*g**4\/5 - 312*g**3 - 2144*g**2\/5 - 128*g\/5 = 0.\nAnswer: -4, -1\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282046.\nAnswer: 2, 141023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 85 - 15. Let v = 38 + r. Is 15\/4 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y - 83. Determine w(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let u(k) = -2*k. Let s be u(-1). Let d(r) = -4*r + 0*r + s*r. Determine i(d(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 + 1. Let y(d) = -11*d**3 + 4*d**2 + d + 4. Let x(m) = 4*k(m) - y(m). Let h be x(1). Solve -6 = 4*s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*z = -3*z + 3, 0 = 4*r + 4*z - 24. Let h(p) = -4*p + 3. Give h(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/2)\/(q\/(q*q**(2\/7)))*(q**(1\/3))**(-7\/3) assuming q is positive.\nAnswer: q**(-125\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*14*14\/294*(-3)\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 4*z**4 - z**4 - 62*z**3 + 37*z**4 + 62*z**3 + (-1 - 2 + 2)*(0*z**3 + 0*z**3 - 2*z**4).\nAnswer: 38*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 + -1 + -22 + (-13 - -51)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -8, -46, -126, -260, -460, -738?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = 4*z - j, -5 = j. Suppose z = -u + n + 62, n + 0*n - 109 = -2*u. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 321\/63 - ((-3280)\/18480 + 9\/33). Let h(j) = 10*j + 1. Let w(y) = -10*y - 2. What is f*w(t) + 6*h(t)?\nAnswer: 10*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15)*(-36)\/(-16))\/(135\/(-180))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359317.\nAnswer: 7, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.0736 - -22.1. Let n = 1.0264 - t. Let j be ((-4)\/250)\/(5\/(-25)). Which is the closest to n? (a) j (b) 3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - v - 2. Let y be h(-2). Let g = y - -37. Let n(m) = -m**3 + 5*m**2 + 4*m - 7. Calculate the remainder when g is divided by n(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-19)*1\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22450 + -22448. What is the nearest to j in -1, 0.37, 0.3?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/154 and -25\/594?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6278169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -1069060.\nAnswer: -79\/1069060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 8. Let k be h(0). Let c = -5 - k. Find the second derivative of -c*y**5 + 4*y + y**5 - 2*y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - -1) - 12 - 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 929758400 to the nearest 100000.\nAnswer: 929800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 29*s**2 + 3*s + 33. Is g(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312721 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/4))\/l)**(-5\/4)\/((l*l**2*l)\/l*(l\/(l*l**4\/l*l))\/l) assuming l is positive.\nAnswer: l**(37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -30902839 at least -123611355\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -540*m**3 + 196590*m**2 + 246075*m + 49330. Let s(d) = -20*d**3 + 7281*d**2 + 9114*d + 1827. Let x(f) = -55*s(f) + 2*u(f). Factor x(b).\nAnswer: 5*(b - 365)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -168*x + 2. Let f be l(-3). Let u = -361 + f. Calculate the remainder when u is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 190.22 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -31*u + 59. What is l(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + j - j)*(-2 - 1 + 0)*(-1 - 2 + 2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76698657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 13 = 7, 2*r = 4*c + 104. Suppose -5*n + n = -4*y + r, 2*y - 36 = -5*n. Let f = y - 3. Solve -f = 4*i - 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (4 - -1) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/984 and 79\/328.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -410*u**5 + 2*u**2 + 260*u?\nAnswer: -24600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqx when three letters picked without replacement from {t: 1, y: 2, x: 4, q: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let t(j) = 16563*j**2. Calculate y(t(n)).\nAnswer: -16563*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbaevlc. What is prob of sequence ab?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*15\/(135\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-20))\/1*-2)\/((-3)\/(-108)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b - 30 - 16*b - 31 + 11*b.\nAnswer: -40*b - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46828687?\nAnswer: 46828687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1802 + 86 = -3*g. Suppose y - g = 4*p + 263, 3*y - 2512 = 5*p. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125)*1*4)\/(1*sqrt(36)\/sqrt(4) - sqrt(9)*1*-2).\nAnswer: 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxx when four letters picked without replacement from {x: 6, k: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259847208 by 2794056.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**2 - 47*o - 571. Calculate v(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 66579, 133145, 199711?\n\"Answer: 66566*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) 3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = 9. Suppose -4*s = -m*t - 129, -3*s + 62 = -2*t - 26. Let n = 28 - s. What is the least common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 46. Suppose 7*f = -5*f + j*f. Suppose -2*q + 13*q - 990 = f. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201914240 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 17 = 2*j, 5*j - 5*o + 8*o = 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436 + -430. Solve -x - a + 2 = 0, -y*x = -x - a - 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2 + 10. Let f be r(0). Put -3, -6, f, -5 in ascending order.\nAnswer: -6, -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001011001010000 (base 2) to base 9.\nAnswer: -117654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896 and 11017577.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l = 160*l - 55*l - 2418. Solve -l*m - 100 = -286 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let t be (-13)\/(-8) + (-3 - -1). Let i = 1\/189 + 125\/189. Which is the second smallest value? (a) i (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/548 (b) -2 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162400907 to the power of 1\/2, to the nearest integer?\nAnswer: 64517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from wogoortoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2110 + 2134. Solve 0 = -5*f + 2*o + n, 0 = 689*f - 692*f + 4*o + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 + 3 = 0. What is the remainder when m - (-27 - (-4)\/1) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*o + 18151 = 25807 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 71. Find the third derivative of -7*h**2 - 2*h**4 - 18*h + h**4 + 2*h**3 + 9*h**2 - 3*h**d wrt h.\nAnswer: -96*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.1. Let p = -2 - s. Put -0.1, -4, p in descending order.\nAnswer: -0.1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1360*h**4 - 239*h**4 + 648*h**4 - 1526 - 752*h**4 wrt h?\nAnswer: -6812*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, b: 4, z: 11}. What is prob of picking 4 b?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42447769649524 and 5.\nAnswer: 42447769649529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60048529 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, 71, 260, 533, 890, 1331, 1856?\n\"Answer: 42*f**2 - 21*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 205289 (b) 3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -145, -223, -333?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001110110001010000 + 1?\nAnswer: -1000001110110001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 14*d + 18. Suppose l - 4 = 5*b + 19, 0 = -2*l + 2*b + 14. Let y = 18 - l. Does 11 divide c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323 (base 4) to base 15.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827345?\nAnswer: 5, 165469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*n**4 + 3955*i*n**3 + i + 4*n**2 - 651 wrt n?\nAnswer: -48*i*n + 23730*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819938601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*j + 4 = -2*v, v - 5*j = -14. Suppose 2*o = s + v, -2*s + o + 5 + 2 = 0. Solve -a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - s. Let j be (-1)\/(-7) - (-52)\/28. Suppose -2*x = j*x + 4. Calculate b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696967.62 rounded to the nearest one thousand?\nAnswer: -697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -573*a**4*k - 4*a**2*k + 2*a*k + 4*a + 85461*k wrt a?\nAnswer: -2292*a**3*k - 8*a*k + 2*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3, 1972.\nAnswer: -3, -2, 3, 1972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*u + 7, -1 = -2*u - v + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -17. Suppose -3*g - j = -18, -j = -5*j + 12. Suppose 0 = -2*m + g*m. Put h, m, 5 in descending order.\nAnswer: 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peje when four letters picked without replacement from {j: 2, p: 2, d: 1, h: 1, e: 6}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-16))\/((-6)\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022148033 rounded to 7 decimal places?\nAnswer: -0.0022148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 1:45 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.159882 decades to centuries.\nAnswer: 0.7159882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d + 5. Let t(m) = m - 1. Suppose -144 = 71*x + 319 - 108. Determine x*c(p) - 25*t(p).\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 835, -1, -0.15273?\nAnswer: -0.15273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-205)\/(-10)*-2)\/(-1). Let k(t) = -a + 18 - 47*t + 26. Does 25 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = -30. Let c(q) = 5 + 8*q - 3 + 0*q**2 + q**2. What is the remainder when 31 is divided by c(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4913 + 4892 - 2*u**2 + 4908 - 14734.\nAnswer: -2*u**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -62*w**5 + 163*w**2\/2 + 403. Find the second derivative of l(b) wrt b.\nAnswer: -3720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyly when four letters picked without replacement from yiliyviyylllliilyi?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -20*t**2 - 33*t + 98. Let a(s) = -7*s**2 - 11*s + 33. Let i(p) = -17*a(p) + 6*f(p). Calculate the smallest common multiple of 9 and i(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(847) + sqrt(847) + -4).\nAnswer: -132*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2298049 and -0.07.\nAnswer: -160863.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p**2 + 5*p + 4. What is the hundreds digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 2*z - z)*(-28 + 158 - 60)*(4*z + 0*z - 3*z) in the form v + f*z + w*z**2 and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2550\/20*3*10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o - 15. Let r be u(3). Suppose 6*l - 10*l - 28 = r. What is the common denominator of 45 and 63\/(-33) - (l - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 27676.2\nAnswer: 27676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -4*s - 5*g - 0*g, -2*g + 371 = 5*s. Suppose 10*h - 5*h - s = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 3:53 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 - 6*f + 6. Let k = 20 - 13. Is d(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54878?\nAnswer: 2, 23, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Solve -5*s = -s + p - 16, -2*s + j*p = -22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 4*r - r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/900 - v**5\/300 + 2*v**3\/3 + 2*v**2. Let p(z) be the first derivative of i(z). Factor p(y).\nAnswer: -2*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -412 - -515. What is the remainder when a is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -549 - -782. Suppose 5*z = 3*f - 273 - l, f + 2*z = 187. Calculate the remainder when f is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.511 - -1.411. Let s = 0.12 - -4.88. What is the second biggest value in r, -1\/5, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = -2*q, u - q = -5*q + 10. Suppose 38 = u*z - 10. What is the remainder when 34 is divided by (4\/(96\/(-78)))\/((-2)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435584?\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 6}. What is prob of sequence hn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/1053*3*90\/(-40).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099368397 to five dps.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8712464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -112. Suppose -k*q = q + 116. Let w(h) = -17*h**2 + 9*h + 9. Let b(f) = -4*f**2 + 2*f + 2. What is q*w(i) + 18*b(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478*o - 599*o + 7926226 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 1496, -6 in increasing order.\nAnswer: -6, 0, 13, 1496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 124 = -0*n. Let w(r) = -3*r - 9. Let k be w(-4). Suppose -n + 4 = -k*g + 3*f, -g + 17 = -5*f. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 10 + -5 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 2367330751.\nAnswer: 2367330750.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0202 + 1.0798. What is the closest to 1\/3 in c, -0.3, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 + 1.4. Is k > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 + 9 + 2 + -9 + 10 + 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 303446 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-15)*1)\/((-48)\/18). Let p = -0.89 + -3.21. Let s = p + 0.1. Are s and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3*(3 - (-5 - 84)). Let x = -146 - k. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 2*b)*(-3 + 3 + b) + 3*b + b**2 - 3*b + (2*b - 4 + 4)*(b + b - 6*b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 353172692 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 2994.\nAnswer: 2993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (102*t**3 - 65*t**3 - 171*t**3)*(2 - 2 - 1) + (3*t**3 - 2*t**3 + 2*t**3)*(-2 - 5 + 4) in the form p*t**2 + v*t**3 + g*t + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -367.02.\nAnswer: -1468.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/16 and 47\/1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cba9 (base 14) in base 12?\nAnswer: -36755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 261 + -130. List the prime factors of b.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1337*p**4 - 11*p**3 + 11*p - 867. Let k(q) = q**4 - q**3 + q - 2. Let d(f) = -c(f) + 11*k(f). What is the derivative of d(z) wrt z?\nAnswer: 5392*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -334641.33?\nAnswer: 334638.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1) + 241 + -1. Suppose 2743*n - 859894 = -870*n. Is n not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.905 - -3.90519514. What is r rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14953 divided by 787.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -59*(-1 - 0 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 + 18872059*s**4 - s**3 + 50555240*s**2 wrt s.\nAnswer: -240*s**3 + 452929416*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 29*g - 1. Let h be k(-1). Let n = h - -31. Suppose -33 + n = -2*u. Calculate the remainder when 27 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(-4 + 1*sqrt(252) + sqrt(252) + 1)**2*-5.\nAnswer: -81360 + 5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-25))\/((6\/75)\/(21\/(1995\/19)))\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 680*z + 1. Let y be b(2). Let i = y + -880. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -115 in decreasing order.\nAnswer: 5, 3, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144427 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-2)\/12). Let k be (-4)\/63 + u\/(-7). Factor 0 - k*y**2 + 2\/9*y.\nAnswer: -2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123681456 and 6.\nAnswer: 123681456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 + 11*q - 6. Suppose -4*a = s + 33, 6*a - 2*a + 13 = 3*s. Calculate the remainder when z(a) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1 - 6)*(-213)\/(-1562)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ross when four letters picked without replacement from oseoeumeroee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 80?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(1700) - sqrt(1700)))*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -640?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 8 = 0. Let c be (d\/(-3) - -2)*-3. Let t be c\/4 + 38 + -2. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 123, 194, 283, 396?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.9439 times -206\nAnswer: 606.4434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -18*q**4\/13 - 348*q**3\/13 + 11902*q**2\/13 - 72688*q\/13 + 4704 = 0.\nAnswer: -39, 1, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d + 268*d - 105*d + 244*d as l + b*d and give b.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from issisrspsn. Give prob of picking 2 s, 1 p, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1474 (b) 4459\/4 (c) -4\/7 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 4. Let p be x(5). Let s = 0 - p. Let j = 8 - 7. What is the closest to s in 0.4, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137919\/23 - -5995. Let w = -120873\/10 + 12097. Find the common denominator of h and w.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/60*(-13)\/(-78)*9\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/35 - -101\/70. Let c be (10\/20)\/(6\/(-9)). Let k = 23\/36 + c. Put f, k, -1, 5\/3 in decreasing order.\nAnswer: 5\/3, f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 448*b**3*u**2 - b**3*u + 4325*b**2*u**2 wrt b.\nAnswer: 2688*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/278884373?\nAnswer: 3\/278884373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11066124?\nAnswer: 2, 3, 587, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1289 in -0.06, -0.4, -55?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(200)\/(sqrt(4) - sqrt(4)*2))\/(6*(sqrt(10) - sqrt(810))))**2.\nAnswer: 11525\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*h + 9782 = -6507 + 3149 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 28.07. Which is the closest to -2? (a) y (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3\/7 (c) 27 (d) 8 (e) 5\/2 (f) -1\/66 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 134?\nAnswer: -11\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23780 divided by -2\nAnswer: -11890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4 - (-23 + 31)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, 6, -11, -8, 5 in increasing order.\nAnswer: -11, -8, -4, -1, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 113*f + 37. Let s(b) = -2*b - 1. Let j(r) = -3*s(r) - u(r). Does 57 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**5\/120 + 7*o**3\/3 + 9. Let a(v) be the third derivative of t(v). Let n(p) = 0 + 0 - p**2. Determine n(a(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + o**3)*(-1 + 1 - 3)*(15 - 32 + 97)*(0 + 3 - 4) to the form n*o**2 + s*o**3 + r*o + j and give s.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 12*o**3 + 5*o**3 + 0*o + 5*o**3 - o to j*o + r*o**3 + k*o**2 + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 8:34 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11102225 (base 6) to base 15.\nAnswer: 6935e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by 35?\nAnswer: -344\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rad when three letters picked without replacement from hppaahaapdhhpahpdpr.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*j**3 + 3884*j**2 + 3*j + 17920137.\nAnswer: -741*j**2 + 7768*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432683660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*-2036.55\nAnswer: -386.9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose 109 = 20*a - 291. What is the greatest common divisor of p and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 665209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -233 - -239. Let r be o\/(-15) + (-1629)\/15. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Suppose 0 = 3*n - 7*x + 3*x + 2, -4*n - 5*x = -18. Solve g = -5*o + n - 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 9*s**2 + 75*s + 35. What is z(-8)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 5*z. Let g = 2 + z. Solve -5 = -2*b - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 8*z - 28. Let m = z + 18. Let x be 6\/4*8\/6. Solve 10 + x = -m*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673415204 divided by 120857?\nAnswer: 5572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 2*z**2 + 1. Let i be f(1). What is the third smallest value in -2\/13, 0.06, i?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.92 - 1.056.\nAnswer: 9.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 354 - (5 - 6)*(3 - 3). Solve -25*b = 34*b - z for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 4*s**2 - 12*s**2 + 79*s - 86*s + 5*s.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -949, -1429, -1915, -2407, -2905?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*x**3 + 103877*x**2 + 27*x + 969023 wrt x.\nAnswer: 138*x + 207754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2025))\/((-157)\/2826)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16573333 is divided by 472.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**2\/2 - 18*w - 31. What is p(-17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fthtttthftjahjyjth. What is prob of sequence faj?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/68228 and -155\/1776?\nAnswer: 818736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4863209*p**3 - 2431589*p**3 - 2431625*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 392*u**3 - 2718*u + 9681119 wrt u.\nAnswer: 1176*u**2 - 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1414 - 2.8586. Let d be (-1)\/2 + 1\/14. Which is the closest to j? (a) -3 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4878)*(-7 - -2). Let l = 172949\/53658 + a. What is the common denominator of l and -81\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(133)\/sqrt(7) + sqrt(19) + -3 - sqrt(19))*-2.\nAnswer: -2*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 + 252164*i**3 + i**2 - 2*i - 15108003?\nAnswer: 12*i**2 + 1512984*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -550a84?\nAnswer: -550a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0 - 2 + 2 - j. Let n(h) = -3*h. What is n(v(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 12*-1) + 1. Let a be (-1 - 0)*(-12 + d). Suppose 0 = -4*c - a*c + 104. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**9\/60480 - d**8\/5376 - d**7\/2520 + d**6\/960 + 7*d**5\/30 + 9*d**2. Let f(r) be the third derivative of k(r). Factor f(t).\nAnswer: -(t + 1)*(t + 3)*(4*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*847\/11. Let q = s + -223. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.703784um?\nAnswer: 5703.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Let n be (-1)\/(-3) + (-75)\/9. Let j = n - -5. Which is the nearest to z? (a) 1\/5 (b) j (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a**2 - 21*a - 185. Is u(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -36*l**2. Let k(h) = 208*h**2 + 24 - 397*h**2 + 192*h**2. Determine k(y(m)).\nAnswer: 3888*m**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, t: 6}. Give prob of picking 3 w and 1 t.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -14*o**3 + 21*o**2 - 8*o. Let p(c) = 9*c**3 - 14*c**2 + 5*c. What is -5*j(w) - 8*p(w)?\nAnswer: -2*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*h)*(-15*h**3 + 12*h**3 - 9*h**3 + h) + (0*h - h**2 + 0*h)*(h**2 + 2 - 2) to j*h**4 + c*h + a*h**2 + g*h**3 + i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c - 861?\nAnswer: -8ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16*((3\/132)\/1)\/(-21*(-25)\/(-1050))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 82, 101, 126, 157, 194?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9888289?\nAnswer: 9888289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -3 + 4 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 11\/75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/3 + 1097046*y = 0. Calculate y.\nAnswer: 0, 1645569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4053 - -4635. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 2. Suppose 11*x - 3 = 14*x. Let j be n(x). Solve 3*i + 10 = -2*u, 10 = -j*u + 2*i - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k - 114. Determine q(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391 - 174.7?\nAnswer: -1565.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3605, -6691, -9259, -11309, -12841?\n\"Answer: 259*n**2 - 3863*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - 186. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*y + 942, 3*n + 4*y = y + 2808. Suppose -m + n = m + 3*q, 0 = -m + 2*q + 465. Suppose -m = -4*k - 87. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 5. Let j(o) = o**2 + o. Let i be j(-1). What is the units digit of c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 40*q - 15. Let k(h) = 8*h - 3. Give -11*k(a) + 2*y(a).\nAnswer: -8*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 h when four letters picked without replacement from {h: 16, g: 4}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -1104273?\nAnswer: -7\/368091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(10\/9)*d*d\/(d*d\/((d*d*d**(-1\/10)*d)\/d*d*d)*d))**(12\/7))**(-18\/11) assuming d is positive.\nAnswer: d**(-372\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -89\/60*a**5 + 0*a**6 + 0 - 3*a + 1\/210*a**7 + 67\/3*a**3 + 0*a**4 - 12*a**2. Differentiate d(n) wrt n.\nAnswer: 4*n**3 - 178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -489\/4 - -123. Let p be (-7)\/(-4) + (-30)\/12 + 1. Which is the nearest to p? (a) 2\/11 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60203, -60160, -60057, -59864, -59551, -59088?\n\"Answer: 5*q**3 + 8*q - 60216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, 3, 0.3, -4.73, 2\/23 in descending order.\nAnswer: 5, 4, 3, 0.3, 2\/23, -2, -4.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 493, 1017, 1541, 2065, 2589, 3113?\n\"Answer: 524*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 114*t**2 + 115*t - 85. What is the tens digit of u(113)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 - 63273383 - 22*l**2 + 63273378.\nAnswer: -l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/5, -4153\/15, 3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/19, -0.72, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1) + ((-130)\/(-10) - 9). Suppose 2*c = 4, 2*c - 470 = -l*k + 4*k. List the prime factors of k.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 887342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060208 is divided by 3534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52705 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b - -b1?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.5 - 8. Let y = -0.3 - 0.1. Let h = y - 0.1. Which is the closest to 0.1? (a) -4 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.05402 months to decades.\nAnswer: 0.5587835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q + 5. Let h be s(0). Solve 4*n = 5*f + 23, -3*f + h*n = -0 + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 16 + 10 - 846*v + 840*v)*(-10*v - 8*v - 5*v) as z + h*v**2 + w*v**3 + l*v and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*m + 1853*m - 621*m - 1 - 619*m.\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - r - 72 = -4*q, 17*r - 3*q - 3*q = 21*r - 94 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13732504 to the power of 1\/2, to the nearest integer?\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -42*f - 830. Calculate l(47).\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -48. Suppose 108*f + 13*f - 354 - 130 = 0. What is the greatest common factor of f and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88\/(-3)*(-9)\/(-6 + 9) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-4)*s)\/s))**16)**40\/(s**(-5)\/s**(-12))**(31\/4) assuming s is positive.\nAnswer: s**(12583\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18093, -18178, -18247, -18300, -18337, -18358, -18363?\n\"Answer: 8*n**2 - 109*n - 17992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29526 and 843486.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Suppose 4*x - 13 = 7. Suppose 0 = x*k - 244 + 229. Solve k*u - t = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11111?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16*-14 + 2)*32\/(-312)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2151 + 5732. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -485\/7. Suppose -3*a = -2*z + 1, -3 = a - 0*z + 2*z. Is a >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c*c**(-2\/33))**(24\/7) assuming c is positive.\nAnswer: c**(-1336\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0 + 13\/3*y**4 + 73\/6*y**3 - 50*y**2 + 0*y. What is the derivative of i(v) wrt v?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*l**2 - 11*l**2 - 41*l**2)*(-l**2 + 3*l**2 - 3*l**2 + 5*l**2 - 2*l**2 - 2*l**2 + (-4*l + l + 2*l)*(-2*l + 4*l + 0*l)).\nAnswer: 184*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304298223.\nAnswer: 2304298223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -56*m - 4. Let c = -3 - 0. What is the hundreds digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (16 - (31 + (27 - -35))).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/3418 and 95\/72.\nAnswer: 123048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4171348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -420*(-9)\/108*-1*2\/4?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(70)*1)\/((sqrt(110) - 2*(sqrt(110) - (sqrt(110) + sqrt(110)*2) - sqrt(110)))\/sqrt(11)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5092, 20352, 45786, 81394, 127176, 183132, 249262?\nAnswer: 325566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - 4*d**4 - 54*d**3 + 432*d**2 - 1107*d + 972 = 0 for d.\nAnswer: -9, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*n**2 - 36*n**2 - 3*n**3 - 3*n**3 - n**3 - 14*n**4 + 4*n**3 wrt n.\nAnswer: -336*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/24 + 3*u**3\/2 + 2*u**2. What is the least common multiple of z(0) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16186, 16201, 16240, 16315, 16438, 16621, 16876?\n\"Answer: 2*f**3 + f + 16183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-696)\/(-18))\/(137462\/34359 + (1 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(-5)\/((-15)\/2). Suppose 0 = -0*o - c*o - 150. Is o smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.08, 10.89, 3\/2, 5, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*j + 63*j = -1608. Solve -g + 13 = -j*m + 24, 5*g + 25 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87344 + 87352.0974. What is m rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.51 - 5.51. Let u = 27.5 + -25. Let p = u + -1.5. Which is the smallest value? (a) x (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560324388?\nAnswer: 2, 3, 13, 1039, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -289, -874, -2019, -3910, -6733, -10674?\nAnswer: -15919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 98\/(-30))\/((-12)\/(-5))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -183\/4 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 1\/4*c**5 - 1\/2*c**4 - 5\/6*c**3 - 5*c + 12*c**2 + 0. Let m be x(-7). Round m to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2263454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 613357\nAnswer: 2\/613357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j*n*s**2 - 265261*j*s**3 - 3*j*s - 3*j + 54*n*s**3 - 21*n*s**2 - 46*n + s**2 wrt s.\nAnswer: -1591566*j + 324*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 - -1440. What is the highest common factor of x and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/72*(-3)\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (59 - 57) + ((-13)\/9 + 1)*3. Let s = 14 - 41\/3. What is the second smallest value in o, 2\/9, s, -4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -147\/4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -12. Let j = z + 9. Suppose -2*g + 6 = -3*p, -5*p - 8*g + 3*g + 15 = 0. Sort 5, p, j in descending order.\nAnswer: 5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2986, 0, -1, 5 in decreasing order.\nAnswer: 5, 0, -1, -2986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1911\/14 - (-3)\/(-2). What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 2*g - 2052 = 0, -2*c - g + 0*g + 683 = 0. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -61, 2, 14 in decreasing order.\nAnswer: 14, 2, 1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -152 - -144 - (2 - 5 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + 104\/18. Let b = 12 + o. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 1, 2\/125?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72 + (2 + -2)\/1. Let r = 0 - s. Let g = r + 81. What is the lowest common multiple of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*c + 28 = -0*c, c + 15 = 5*n. Suppose -3*k = 2*q + k + 8, -k = 5*q + n. Suppose -3*t = i - q*t - 4, 3*t = i - 10. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27282 and 40923?\nAnswer: 81846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 6*o + 25. Let g(q) = 7*q**2 + 5*q + 25. What is 5*d(a) - 6*g(a)?\nAnswer: -2*a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = 200. Let p = 54 + q. Let n be (-10)\/p*(-8 - -10). Let u(s) = s**3 + 5*s**2 + 4. Calculate u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13713 - -53213. List the prime factors of l.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 53 + 23 = -3*u, 4*u + 93 = -3*n. Is u at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 9. Suppose 0 = -d*p + 11*p + 8. Solve -6 + p = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0\/(l**(-3)*l)*(l*l**1)**(3\/5)*l*l**3*l*(l\/(l\/(l**(-4\/5)\/l*l)))\/l*(l\/(l**(1\/4)\/l))\/(l\/l**3) assuming l is positive.\nAnswer: l**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3270126963?\nAnswer: 3, 1090042321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 38*v**2 + 76*v - 76. Determine p(36).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1550 - 1553. Let i = -1409\/63 - -182\/9. Is i >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.83533897461 + -2?\nAnswer: -5.83533897461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 1 + 2*143\/22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/((-5)\/(-30)) - 0. Let f be (2 - -3) + 6\/n. Let x(p) = p**3 + p**2 - p + 2. What is x(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 1348, 1966, 2584?\nAnswer: 3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 27*m**2 + 1. Let k(l) = 4*l**3 - 233*l**2 + 259*l + 1. Let n(v) = 3*j(v) - 3*k(v). Factor n(o).\nAnswer: -3*o*(o - 259)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.1 - 1.1. Let o = -3 - -20. Which is the closest to 1? (a) w (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*f + 5*f - 295 = 0, 0 = 5*w - 5*f - 335. Suppose 2*b = w + 41. Let s = 53 - b. Sort 4, -1, s, 0 in decreasing order.\nAnswer: 4, s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-84)\/9)\/(2\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12476, -12469, -12462, -12455, -12448?\n\"Answer: 7*j - 12483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75308730 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15375 is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxc. Give prob of picking 1 c and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 3 = 5*g, -1 = -w. Let h(a) = -23*a + 42*a - 18*a - g. Let c(b) = 2*b - 2. Give 3*c(d) - 5*h(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + 1 - 2 + 25*t**2.\nAnswer: 30*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.11, 1\/21, -0.4, 1 in ascending order.\nAnswer: -0.4, -0.11, 1\/21, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -80. Let u = 2 - 2.2. Which is the nearest to y? (a) -3 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(sqrt(180) + -2) + ((sqrt(180) + -4)*-2 - sqrt(180)))**2.\nAnswer: -480*sqrt(5) + 2982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 3*m**2 - 4*m + 4. Let g(r) = -3*r**3 + 6*r**2 - 9*r + 9. What is -4*g(j) + 9*i(j)?\nAnswer: -6*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -169.1, -11 in descending order.\nAnswer: -0.4, -11, -169.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(0\/3)\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 29*l**2 + 73*l + 380. Give q(-26).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297211?\nAnswer: 1297211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101110011100011110 (base 2) to base 7\nAnswer: 1421426","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -10*d - 8118. Let i be 34\/66 + (-82)\/d. Which is the closest to 3? (a) 0.1 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 + 0 = -2*a, -a = -2*q + 11. Suppose q*n + 72 = 30*n. What is the least common multiple of (-39)\/(-9) + 6\/9 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2341836 and 308.\nAnswer: 25760196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 125973 = -33*t + 26*t, v = 5*t - 89979. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2. Let o(x) = 24169*x + 34. Give o(q(y)).\nAnswer: 96676*y**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 50.96. Let z = j + -0.04. Which is the third biggest value? (a) z (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 744417, 1488635, 2232853, 2977071?\n\"Answer: 744218*f + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44693 (base 10) to base 4.\nAnswer: 22322111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by -686638\nAnswer: 343\/686638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(99) + sqrt(99) - 3*(0 + sqrt(99))**2)*6*4.\nAnswer: -7056 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 270 = 18*k. Let t be (-4 - 0 - 2)\/(3\/k). Do t and -36 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -50. Let b be 2\/(42\/(-69)) - -3. Let m be ((-21)\/(-35) - 1) + 0. What is the nearest to 4 in i, b, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.196019060287+-256\nAnswer: -257.196019060287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14373, -57636, -129737, -230676?\nAnswer: -360453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -294.0655 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5936*c - 9. Let w(i) = 36*i. Give w(y(z)).\nAnswer: 213696*z - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456224.\nAnswer: 2, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (65 + 507 - 67)*(1 + o - 1) in the form m + t*o and give t.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -2 + 2)*30\/240.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.2, 1, 0.6 in decreasing order.\nAnswer: 1, 0.6, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let d = -5 - -5. Suppose -5*a = d, 0*y - 2*y = a - 12. Let j(t) = -2*t**2 + t. Let k(l) = y*j(l) - 7*m(l). Factor k(o).\nAnswer: 2*o*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/9)*w**(1\/4)*w\/w**(3\/5)*w**(-4))**22)**(2\/77) assuming w is positive.\nAnswer: w**(-523\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(98))\/sqrt(2) + (sqrt(490) - 4*sqrt(490))\/sqrt(10))\/(sqrt(343) + sqrt(343)*-2 + -2*sqrt(21)\/sqrt(3)).\nAnswer: 7*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*g - w, 69*g - 39*g = 34*g + w + 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 p when three letters picked without replacement from jjpbzjbbpjzrjbdrj.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -1\/3, -4\/5, -0.4.\nAnswer: -4\/5, -0.4, -1\/3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t + 57016 = 58225 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20936556 divided by -9747\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t + 26. Let p be a(8). Suppose -3*f = -5*r + 137, 18 + p = 4*r - 4*f. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z + 35*z + 39*z - 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11182 - 357881\/32. Find the common denominator of -81\/10 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 1144336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49\/4 in -1\/6, -0.5, 2\/13, 0.74, 375?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -2 + 4\/7*l**3 + 21*l + 1\/42*l**4 + 20\/7*l**2. Factor i(t).\nAnswer: 2*(t + 2)*(t + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:07 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 783309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + z**4 - 2*z**4 + (-3*z**3 + 2*z + z**3 + z)*(-3*z + 4*z - 5*z).\nAnswer: 7*z**4 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462 = 9*u - 153*u + 1994 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/9680 and -45\/7744.\nAnswer: 38720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 453769447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, -1, -58, -159, -316, -541, -846, -1243?\n\"Answer: -2*s**3 - 4*s**2 + s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57505, 57502, 57497, 57490, 57481, 57470?\nAnswer: 57457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5847 - -5879. Solve 22*m - 12 = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3507805, 5.\nAnswer: -3507805, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4375843*t + t**2 - 2*t**4 + 4 + 12*t**3 + 4375843*t to the form h*t**2 + w*t**3 + x + z*t + m*t**4 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 10*n**2 + n - 11. Let m(w) = 2*w**2 + 2*w - 2. Let g be m(2). Let y be k(g). Is y at least 4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658.838909 rounded to the nearest ten?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44871 and 1.7?\nAnswer: 0.762807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/4 - 3*f**2 = 0?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -33*r**4\/4 - 10*r - 34. Find the first derivative of s(g) wrt g.\nAnswer: -99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426 (base 8) to base 13\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 366013281 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzzg when four letters picked without replacement from dgdgzdddzgdggzg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 15. Let a = -33 + u. Let s = -25.23 - a. Round s to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30793, -30852, -30911, -30970, -31029?\n\"Answer: -59*u - 30734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319688 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3113*n + 44. Let w be u(11). Let a(d) = -w*d + 34287*d - 6*d**2. Let j(y) = 8*y**2. Let v(h) = -15*h**2. Let o(x) = 5*j(x) + 3*v(x). Give a(o(g)).\nAnswer: -150*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/((-14)\/21). Suppose 0 = 4*o + 3*d + 25, -5*o - 11 - 3 = -v*d. Let f = 6 + o. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 + 19*q - 9. Let c be u(-7). Solve 0*v = -c*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:25 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1098657*s + 613498 wrt s.\nAnswer: 1098657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 535 - 429 - (20 + 53)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 65831*s - 36. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8079?\nAnswer: 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 + 2 = 0. Let j = 3.3 + -20.3. Let y = j + 17.4. What is the biggest value in y, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8864 by -4.\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 0*a = 1365. Solve -4*p - 113 = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127 or 9.655?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.16, -2\/13, -0.4, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21596375 by -10163.\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + 14099)\/(2\/(-6)). Let z = 1860109\/44 + m. Calculate the common denominator of z and 67\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202122010 + -11?\nAnswer: 202121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 170*g + 25. Is 75 a factor of h(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.657, -0.09, -21.\nAnswer: -21, -0.09, 8.657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 p when three letters picked without replacement from {p: 5, u: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -10 - 4*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*t + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 680 = 39*b. Let p(s) = -s**3 + 7*s**2 + 6*s + 2. Calculate the lowest common multiple of p(7) and b.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/18)\/(4\/((-24)\/(-10)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + x + 1. Let p(w) = 2053*w**3 + 16*w**2 + 4*w + 4. Determine -p(h) + 4*z(h).\nAnswer: -2053*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242222038?\nAnswer: 2, 71, 101, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}